Chapter 1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question according to what the textbook states. 1) Which of these is the most important general tip for success in a mathematics course? A) Do your homework B) Check your work C) Don't be afraid to ask questions D) Organize your class materials
1)
2) Which of these is NOT listed as a tip to help you succeed in this course? A) Read your textbook after you attend class. B) Form study groups and/or exchange names and e-mail addresses. C) Choose to attend all class periods and do your homework. D) Know how to get help if you need it.
2)
3) Which of these is NOT an end-of-chapter component designed to help you understand the concepts of the chapter? A) Chapter Highlights B) Vocabulary Checks C) Chapter Tests D) Calculator Exercises
3)
4) Which of these is listed as one of several steps in preparing for an exam? A) Practice working out exercises by working the Chapter Review. B) Skip the concepts and definitions in the Chapter Highlights at the end of the chapter. C) Review your class notes, and skip reviewing previous homework assignments. D) Leave for the exam as late as possible to increase your amount of study time.
4)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 5) Fill in the missing digits in the problem.
5)
1 ,2__1 - 709__ 7,1__1
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Add. 6)
80,219 9,128 + 27,396 A) 116,843
6)
B) 117,843
C) 115,743
1
D) 116,743
Write the number in the sentence in words. 7) The highest point in California is Mount Whitney at an elevation of 14,494 feet. A) fourteen thousand, nine hundred forty-nine B) fourteen thousand, four hundred ninety-four C) one hundred forty thousand, four hundred ninety-four D) one thousand, four hundred ninety-four
7)
Decide whether the given number is a solution of the given equation. 8) Is 2 a solution of 5(r + 5) = 15? A) yes B) no Divide.
9) 92 ÷ 18 A) 6 R 2
8)
B) 4 R 4
C) 5 R 3
D) 5 R 2
B) 400
C) 680
D) 1,800
11) Find the sum of 626 and 5,045. A) 5,661 B) 5,672
C) 5,771
D) 5,671
9)
Simplify.
10) 5 · [4 2 + 8 · (7 + 8)] A) 140
Solve.
12) A camera that sells regularly for $400 is discounted by $99 in a sale. What is the sale price? A) $311 B) $499 C) $301 D) $99 Estimate the sum or difference by rounding each number to the nearest hundred. 13) 983 710 846 743 + 474 A) 3,760
C) 3,756
D) 3,800
Round the whole number to the given place. 14) 57,719 to the nearest hundred A) 57,800 B) 57,600
C) 57,710
D) 57,700
Solve.
11)
12)
13)
B) 3,700
Evaluate the expression for the given replacement values. 15) x ÷ y for x = 348, y = 0 1 A) B) 348 348
10)
14)
15) C) 0
D) undefined
16) Last year a company had 5,851 employees. This year the number of employees increased by 1,389. How many employees does the company have now? A) 7,140 employees B) 7,340 employees C) 7,240 employees D) 7,250 employees 2
16)
Evaluate the expression for the given replacement values. 17) 6x - 5y for x = 4 and y = 4 A) 4 B) 19 Solve.
C) 20
D) 44
18) The textbook for a history class costs $40. There are 32 students in the class. Find the total cost of the history books for the class. A) $1,240 B) $72 C) $1,280 D) $1,248
Provide an appropriate response. 19) Find the average of 48, 42, 34, 38, and 48. A) 41 B) 34
C) 42
D) 48
Decide whether the given number is a solution of the given equation. 20) Is 4 a solution of 2x - 7 = 1? A) yes B) no Round the whole number to the given place. 21) 28,893 to the nearest ten thousand A) 28,900 B) 29,000
C) 28,000
17)
18)
19)
20)
D) 30,000
21)
Solve the problem by estimating. 22) A number rounded to the nearest hundred is 3,700. Determine the largest possible number. A) 3,748 B) 3,651 C) 3,750 D) 3,749
22)
Use the distributive property to rewrite the expression. 23) 7(1 + 8) A) 7 · 1 · 8 B) 7 · 1 + 7 · 8
23)
C) 7 · 1 + 8
D) 7 + 1 + 8
C) 62
D) 58
Divide. 24) 7 420 A) 63
B) 60
Determine which numbers in the set are solutions to the equation. 25) 6n - 3 = 15; {3, 5, 16} A) 5 B) 3 C) 16 Solve.
D) none of them
26) Mark's typing speed is 78 words per minute. How many words can he type in 20 minutes? A) 98 words B) 1,460 words C) 1,560 words D) 1,570 words
Write using exponential notation. 27) 4 · 6 · 6 · 6 · 6 · 6 A) 245
B) 4 · 6 5
C) 1 4 · 5 6
D) (4 · 6)5
Evaluate the expression for the given replacement values. 24xy for x = 8, y = 4, z = 6 28) z A) 768
24)
25)
26)
27)
28)
B) 762
C) 32 3
D) 128
The table shows the number of votes received by each candidate in an election along with the amount spent by the candidate on advertising. Use the table to answer the question. . Amount Spent on Candidate Number of Votes Advertising ($) Jose Gonzales 57,209 59,104 Angela Wong 67,108 59,024 Sue Miller 67,091 102,376 Tyler Johnson 41,036 66,514 Sandra Ouye 41,009 72,607
29) Which candidate received the most votes? A) Angela Wong B) Sandra Ouye
C) Jose Gonzales
Write the whole number in standard form. 30) Seven million, nine thousand, five hundred forty-one A) 790,541 B) 709,541 C) 7,009,541 Solve.
D) Sue Miller
D) 7,090,541
31) The table shows the number of restaurants in five different cities.
29)
30)
31)
Number of City Restaurants Carlsbad 477 Potters Vale 331 Little Heath 332 Edgbaston 338 Barrow 314 What is the total number of restaurants in the first three cities listed in the table? A) 1,130 B) 1,792 C) 1,140 D) 1,240
Determine the place value of the digit 3 in the whole number. 32) 30,542 A) tens B) thousands C) hundred-thousands D) ten-thousands
32)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
33) Use the facts below. 2 ·3 = 6
4 + 17 = 21
The 4 above is called a(n)
A) factor
minuend variable expression digits area
33)
7 5 35
20 - 9 = 11 .
B) sum
C) addend 4
D) subtrahend
Simplify. 34) (6 + 3) · (13 - 5) A) 51
B) 72
Provide an appropriate response. 35) Round 97,763 to the nearest thousand. A) 97,700 B) 97,000 Solve.
C) 40
D) 30
C) 97,800
D) 98,000
36) The floor plan of a building is a rectangle which measures 320 meters by 80 meters. Find the floor area of the building. A) 25,590 sq m B) 25,600 sq m C) 25,610 sq m D) 800 sq m
Round the whole number to the given place. 37) 8,702 to the nearest hundred A) 8,800 B) 8,710
C) 8,700
D) 8,600
Write the number in the sentence in words. 38) The Petronas Tower 1, in Kuala Lumpur, Malaysia, is 1483 feet tall. A) fourteen thousand, eighty-three B) fourteen thousand, eight hundred thirty C) one thousand, four hundred thirty-eight D) one thousand, four hundred eighty-three Write using exponential notation. 39) 7 · 7 · 7 · 6 · 6 · 6 · 6 · 6 · 6 · 9 A) (7 · 6 · 9)10 Divide. 40)
C) 7 3 · 6 6 · 9
D) 7 · 6 · 9 10
58,926 61
A) 956 41) 963 131,864 A) 896 Solve.
B) 3 7 · 6 6 · 1 9
28 meters
A) 118 m
35)
36)
37)
38)
39)
40) B) 976 R 38
C) 971 R 30
D) 966
B) 136
C) 136 R 885
D) 136 R 896
42) An apartment complex has 8 apartment buildings. Each building has 7 floors with 8 apartments per floor. Find how many apartments are in this complex. A) 23 apartments B) 458 apartments C) 438 apartments D) 448 apartments
Find the perimeter. 43)
34)
41)
42)
43)
90 meters
Rectangle
B) 2,520 m
C) 208 m
5
D) 236 m
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
44) A(n)
perimeter equation addend subtrahend
dividend divisor exponent product
minuend variable expression digits area
is a shorthand notation for repeated multiplication of the same factor.
A) exponent
B) equation
C) expression
D) area
A) 1
B) 17
C) 7
D) undefined
C) 91,900
D) 91,990
C) 625
D) 759,375
44)
Evaluate.
45) 1 7
Round the whole number to the given place. 46) 91,998 to the nearest ten A) 91,000 B) 92,000
45)
46)
Evaluate.
47) 5 · 35 A) 75
B) 1,215
Write the number in the sentence in words. 48) One of the statistics to come out of the election was that 45,826,498 people, or about half the population, cast votes. A) forty-five thousand, eight hundred twenty-six hundred, four hundred, ninety-eight B) forty-five million, eight hundred twenty-six thousand, four hundred ninety-eight C) forty-five million, eight hundred thousand, twenty-six hundred, four hundred ninety-eight D) forty-five billion, eight hundred twenty-six million, four hundred ninety-eight thousand Find the average of the list of numbers. 49) 49, 43, 35, 39, 49 A) 43 B) 35
C) 42
D) 49
C) 4,530
D) 453
47)
48)
49)
Divide. 50) 336 152,208 A) 452 Multiply. 51)
Solve.
B) 454
50)
51)
26,659 × 7
A) 186,713
B) 186,613
C) 186,603
D) 186,553
52) Find 8 times 9,984. A) 79,872
B) 79,882
C) 79,972
D) 79,772
6
52)
Simplify. 53) 34 + 3 · 8 A) 10 Divide. 54)
B) 58
56)
53)
54) B) 154
55) Find the total of 88, 29, 7, 11, and 236. A) 371 B) 283
Divide.
D) 374
33,726 219
A) 147 Solve.
C) 296
C) 164
D) 1,540
C) 135
D) 364
80,100 45
55)
56)
A) 1,770
B) 1,780
C) 1,785 R 24
D) 1,790 R 32
The table shows the number of votes received by each candidate in the last election. Candidate Mr. Olsen Ms. Li Mr. Barone Ms. Vaporis
Solve.
Votes 2078 3760 2780 3706
57) Write in words the number of votes received by Mr. Olsen. A) two thousand, seventy-eight B) two thousand, seven hundred eighty C) two thousand, seven hundred eight D) twenty thousand, seventy-eight
57)
58) One packet of peanuts has 24 grams of fat. How many grams of fat are in 9 packets of peanuts? A) 226 g B) 225 g C) 216 g D) 207 g
58)
Simplify.
59) 3[3 + 2(5 2 )] A) 507
B) 159
C) 1,521
D) 309
Find the average of the list of numbers. 60) 210, 169, 191, 198, 207 A) 205 B) 194
C) 195
D) 198
Write the phrase as a variable expression. Use x to represent "a number." 61) The sum of a number and 76 A) x + 76 B) 76x C) 76 Solve.
62) Find 48 subtracted from 51. A) 3 B) 13
C) 99 7
D) x - 76
D) 1
59)
60)
61)
62)
Write the number in the sentence in words. 63) The control center was suddenly unable to track the satellite when it reached a distance of 128,615 miles from the earth's surface. A) one hundred twenty thousand, eighty-six hundred, fifteen B) one hundred twenty-eight thousand, six hundred fifteen C) six hundred fifteen thousand, one hundred twenty-eight D) one hundred twenty-eight million, six hundred fifteen Find the quotient. 64) 14 ÷ 2 A) 8 Solve.
B) 6 R 2
C) 6 R 1
D) 7
63)
64)
65) There are 102 puppies in a room, with an assortment of black and white ears and paws. 19 have totally black ears and 2 white paws, 28 puppies have 1 black ear and 2 white paws, and 55 have no black ears and 1 white paw. How many black paws are in the room? A) 149 B) 152 C) 258 D) 259
65)
66) Last year, Lu Yi's tax refund was $462. This year it was $828. How much more was this year's refund than last year's refund? A) $366 B) $266 C) $1,290 D) $362
66)
Determine which numbers in the set are solutions to the equation. 67) 5r + 6 = 51; {4, 9, 40} A) 9 B) 4 C) 40 Multiply. 68)
D) none of them
67)
68)
809 × 17
A) 1,513
B) 13,762
C) 13,744
D) 13,753
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
minuend variable expression digits area
69) The position of each digit in a number determines its A) digits
B) place value
C) factor
Write the whole number in the sentence in standard form. 70) Jamie drove five hundred twenty-seven miles to visit his parents. A) 5027 B) 572 C) 5270
8
69)
.
D) divisor
D) 527
70)
Multiply. 71)
71)
752 × 6
A) 4,612
B) 4,412
C) 4,522
D) 4,512
Solve the problem by estimating. 72) Toni's car has 69,291 miles on the odometer, while Bill's car has 26,651 miles on the odometer. Round each mileage to the nearest thousand to estimate the differences in the mileages of the two cars. A) 42,700 mi B) 43,000 mi C) 42,600 mi D) 42,000 mi Estimate the answer by rounding as indicated. 73) Estimate the product by rounding the first factor to the nearest hundred and the second factor to the nearest ten. 849 × 48 A) 45,000 B) 36,000 C) 40,000 D) 32,000 Multiply. 74) (860)(1)(90) A) 77,396 Add.
75) 14 + 22 + 23 A) 95
B) 77,390
C) 77,410
D) 77,400
B) 68
C) 77
D) 59
Write the phrase as a variable expression. Use x to represent "a number." 76) 6 less than 9 times a number A) 6 - 9x B) 6x - 9 C) 9x - 6 Solve.
D) 9 - 6x
77) The seats in the lecture hall are arranged in 20 rows with 6 seats in each row. Find how many seats are in this room. A) 130 seats B) 126 seats C) 114 seats D) 120 seats
72)
73)
74)
75)
76)
77)
Simplify.
78) [124 - (12 - 6)] - 3 3 A) 79 79)
B) 109
C) 145
D) 91
193 + 7 32 - 4
A) 38
78)
79) B) 100
C) 40
9
D) 60
Round the following to the nearest ten, nearest hundred, and nearest thousand. 80) 54,458 54,460 54,450 A) Ten B) Ten Hundred 54,500 Hundred 54,500 Thousand 54,000 Thousand 54,470 54,450 54,460 C) Ten D) Ten Hundred 54,400 Hundred 54,450 Thousand 55,000 Thousand 55,000
80)
Estimate the sum or difference by rounding each number to the nearest hundred. 81) 9,473 - 1,133 A) 8,400 Solve.
B) 8,300
C) 8,000
81)
D) 8,340
82) The population of Marion County is 764,438. The population of Farmington County is 109,959. The population of Onslow County is 344,469. How much greater is the population of Marion County than Onslow County? A) 418,969 B) 419,969 C) 654,479 D) 654,579
Find the perimeter. 83)
73 miles
77 miles
82)
83) 54 miles
80 miles
45 miles 50 miles
A) 399 mi
B) 456 mi
C) 306 mi
Estimate the answer by rounding as indicated. 84) Estimate the product by rounding each factor to the nearest hundred. 106 × 599 A) 500,000 B) 60,000 C) 50,000 Solve.
D) 379 mi
84) D) 600,000
85) In a distant solar system the diameter of planet A is 6 times as great as the diameter of planet B. The diameter of planet B is 867 miles. Find the diameter of planet A. A) 5,102 mi B) 5,202 mi C) 5,192 mi D) 5,196 mi
10
85)
Round the following to the nearest ten, nearest hundred, and nearest thousand. 86) 58,584 58,590 58,580 A) Ten B) Ten Hundred 58,600 Hundred 58,600 Thousand 60,000 Thousand 59,000 58,590 58,580 C) Ten D) Ten Hundred 58,500 Hundred 58,590 Thousand 58,000 Thousand 58,000 Solve.
86)
87) There is a bridge over a certain highway every 7 miles. The first bridge is at the beginning of a 159-mile stretch of highway. Find how many bridges there are over 159 miles of the highway. A) 27 bridges B) 22 bridges C) 23 bridges D) 25 bridges
87)
88) Write the largest four-digit number that can be made from the digits 4, 2, 5, and 1 if each digit must be used once. A) 4521 B) 5421 C) 1245 D) 5412
88)
Evaluate the expression for the given replacement values. 89) x ÷ y for x = 495, y = 9 A) 53 B) 57 Multiply. 90)
C) 55
D) 58
90)
8,541 × 286
A) 2,442,726
B) 2,441,726
C) 2,452,726
D) 2,442,826
Find the perimeter. 91) 185 feet
185 feet
185 feet A) 34,225 ft
91) 185 feet
185 feet
B) 925 ft
Evaluate the expression for the given replacement values. 92) 8x2 + 4x for x = 4 A) 80
89)
B) 144
C) 1,110 ft
D) 940 ft
C) 48
D) 112
Determine which numbers in the set are solutions to the equation. 93) 9n + n = 20; {2, 3, 200} A) 2 and 3 B) 2 C) 200
11
D) 3
92)
93)
Add.
94)
A) 1,321 Subtract. 95)
94)
3,865 + 1,646
B) 1,401
C) 1,422
95)
697 - 413
A) 1,110
B) 184
C) 284
Write the whole number in standard form. 96) Seven thousand, six A) 7060 B) 76,000
C) 7006
Translate the phrase into a mathematical expression. Use x to represent "a number". 97) 7 times a number, decreased by 6 A) 6x - 7 B) 7 - 6x C) 6 - 7x Solve.
D) 5,511
D) 278
D) 7600
D) 7x - 6
96)
97)
98) Claire is reading a 401-page book. If she has just finished reading page 263, how many more pages must she read to finish the book? A) 139 pages B) 138 pages C) 148 pages D) 248 pages
98)
99) A corporate executive picks up a rental car that has an odometer reading of 19,587 miles on it. When she returns it, the odometer reads 20,541 miles. How many miles did she drive the rental car? A) 954 mi B) 754 mi C) 5,928 mi D) 1,054 mi
99)
Decide whether the given number is a solution of the given equation. 100) Is 4 a solution of 5m + 2 = 24 ? A) yes B) no
100)
Simplify. 101) 401 - 235 A) 276
101)
B) 176
C) 166
Write the phrase as a variable expression. Use x to represent "a number." 102) The quotient of a number and 5, decreased by 3 5 5 x-3 A) B) - 3 C) x-3 x 5 Round the whole number to the given place. 103) 557,495 to the nearest hundred A) 558,000 B) 557,400
C) 557,500
12
D) 167
x D) - 3 5
D) 557,000
102)
103)
Estimate the answer by rounding as indicated. 104) Estimate the product by rounding each factor to the nearest ten. 77 × 23 A) 1,400 B) 2,400 C) 5,600
104) D) 1,600
Solve. 105) Charles wishes to pay off a car loan of $6,948 in 36 months. How large will his monthly payment be? A) $190 B) $2,316 C) $187 D) $193
105)
Write the whole number in the sentence in standard form. 106) Don figured out that he had lived five hundred eighty-two million, sixteen thousand seconds. A) 582,016,000 B) 58,216,000 C) 582,160,000 D) 582,000,016,000
106)
Subtract. 107) 82,418 - 19,671 A) 62,745
107)
B) 62,747
C) 71,747
D) 62,725
Write the number in the sentence in words. 108) The population of Annie's hometown is approximately 1,650,000. A) one million, six hundred fifty thousand B) sixteen million, five hundred thousand C) one million, sixty-five thousand D) one hundred sixty-five thousand Find the average of the list of numbers. 109) 16, 20, 17, 21, 48, 15, 17 A) 21 B) 32
C) 22
D) 17
Multiply. 110) 961 × 5 A) 4,805
C) 4,705
D) 4,905
111) 1 · 55 A) 155
B) 4,815
B) 55
C) 1
D) 0
Write the whole number in words. 112) 235,060 A) two hundred thirty-five thousand, sixty B) twenty-three thousand, five hundred sixty C) two million, thirty-five thousand, sixty D) twenty-three thousand, five hundred six
108)
109)
110)
111)
112)
Determine which numbers in the set are solutions to the equation. 113) 10x = 70; {7, 8, 700} A) 700 B) 8 C) 7
D) none of them
Write the whole number in the sentence in standard form. 114) A certain exotic sports car costs three hundred twelve thousand, six hundred ninety-eight dollars. A) 3,206,980 B) 312,698 C) 312,698,000 D) 31,268
13
113)
114)
Solve. 115) As part of homecoming festivities the student organizations are selling lollipops. The fraternities have sold 521,119 lollipops; the sororities have sold 219,734 lollipops; the band members have sold 347,916 lollipops; and the athletes have sold 118,921 lollipops. Have they reached their goal of 2 million lollipops sold? If not, how many more lollipops need to be sold? A) no; 792,310 B) yes Write the whole number in the sentence in expanded form. 116) Ron and Sally climbed a mountain having an elevation of 3,271 ft. A) 30,000 + 200 + 70 + 1 B) 300 + 70 + 2 C) 30,000 + 2000 + 70 + 1 D) 3000 + 200 + 70 + 1
115)
116)
Round the following to the nearest ten, nearest hundred, and nearest thousand. 117) 4429 4,420 4,430 A) Ten B) Ten Hundred 4,500 Hundred 4,400 Thousand 5,000 Thousand 4,000 4,420 4,430 C) Ten D) Ten Hundred 4,400 Hundred 4,500 Thousand 4,000 Thousand 4,000
117)
Simplify.
118) 9 2 ÷ 9 × 8 + 1 A) 72
B) 71
C) 73
D) 63
118)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
119) Use the facts below. 2 ·3 = 6
4 + 17 = 21
A) addend
119)
7 5 35
20 - 9 = 11
The 9 above is called the
minuend variable expression digits area
.
B) difference
Evaluate the expression for the given replacement values. 120) 8x + 6 for x = 3 A) 14 B) 30
14
C) subtrahend
D) minuend
C) 18
D) 48
120)
Find the perimeter. 121)
121)
192 feet
128 feet
151 feet B) 29,312 ft
A) 320 ft
C) 461 ft
D) 471 ft
Determine the place value of the digit 3 in the whole number. 122) 1392 A) hundreds B) thousands C) ones Add.
123)
D) tens
122)
123)
45,561,776 7,771,377 565,588 + 6,977,784
A) 60,864,395
B) 61,006,525
C) 65,966,817
D) 60,876,525
Write the whole number in standard form. 124) Ten million, three hundred fifty-four thousand, two hundred three A) 135,423 B) 1,354,230 C) 10,354,203
D) 1,354,203
Evaluate the expression for the given replacement values. 125) x4 - (y - z) for x = 3, y = 4, z = 2 A) 79
B) 10
C) 6
D) 75
124)
125)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
126) The A) place value Simplify. 127) 2 · 7 + 4 · 19 A) 418
perimeter equation addend subtrahend
dividend divisor exponent product
minuend variable expression digits area
of a polygon is its distance around or the sum of the lengths of its sides.
B) area
C) product
D) perimeter
B) 166
C) 342
D) 90
Write the whole number in words. 128) 483 A) four thousand, eighty-three C) four hundred thirty-eight
B) four thousand, eight hundred thirty D) four hundred eighty-three 15
126)
127)
128)
Round the following to the nearest ten, nearest hundred, and nearest thousand. 129) 5382 5,380 5,390 A) Ten B) Ten Hundred 5,300 Hundred 5,400 Thousand 5,000 Thousand 5,000 5,390 5,380 C) Ten D) Ten Hundred 5,300 Hundred 5,400 Thousand 6,000 Thousand 5,000
129)
Evaluate the expression for the given replacement values. 130) 19 - (y - z) for y = 6, z = 1 A) 14 B) 15
C) 26
Write the whole number in the sentence in expanded form. 131) A local radio antenna is 1387 feet tall. A) 1000 + 300 + 87 C) 10,000 + 3000 + 800 + 7
B) 10,000 + 300 + 80 + 7 D) 1000 + 300 + 80 + 7
Write the whole number in words. 132) 5870 A) five hundred eighty-seven C) five thousand, eight hundred seventy
B) fifty-eight thousand, seventy D) five thousand, eight hundred seven
Write the phrase as a variable expression. Use x to represent "a number." 133) 7 times a number 7 A) 7x B) 7 - x C) x 134) 75 decreased by a number 75 A) B) 75 - x x Add.
135) 21 + 43 A) 64
Subtract. 136)
D) 12
131)
132)
133) D) 7 + x
134)
B) 37
C) x - 75
D) 75 + x
C) 46
D) 55
135)
136)
5,159 - 2,721
A) 2,396
130)
B) 2,436
C) 2,438
Write the whole number in expanded form. 137) 86,137 A) 80,000 + 6000 + 100 + 30 + 7 C) 8000 + 600 + 10 + 37
D) 4,438
B) 70,000 + 3000 + 100 + 60 + 8 D) 86,137
16
137)
Solve. 138) Find the quotient of 185 and 7. A) 26 B) 26 R 6
C) 26 R 3
Write the whole number in expanded form. 139) 70,640 A) 70,000 + 600 + 40 C) 70,000 + 6000 + 40
B) 7000 + 60 + 4 D) 7000 + 600 + 4
D) 29
139)
Estimate the sum or difference by rounding each number to the nearest ten. 140) 94 + 53
140)
A) 100
B) 140
C) 150
D) 147
Find the quotient. 141) 16 ÷ 4 A) 4
B) 3 R 4
C) 5
D) 3 R 3
Write the whole number in words. 142) 3072 A) three thousand, seventy-two C) three hundred thousand, seventy-two
B) three thousand, seven hundred twenty D) thirty thousand, seventy-two
Solve. 143) A store sold 39 cassette players on Monday, 17 cassette players on Tuesday, and 27 cassette players on Wednesday. How many cassette players did the store sell in all? A) 84 cassette players B) 82 cassette players C) 93 cassette players D) 83 cassette players Write using exponential notation. 144) 2 · 2 · 3 · 3 · 3 · 3 · 5 A) 2 · 3 · 5 7
138)
B) 2 2 · 4 3 · 1 5
C) (2 · 3 · 5)7
D) 2 2 · 3 4 · 5
B) 96
C) 224
D) 44
C) 13 R 7
D) 14 R 50
141)
142)
143)
144)
Simplify.
145) 16 - (8 ÷ 2) + 2 · 4 2 A) 36
Solve. 146) Find the quotient of 939 and 59. A) 15 B) 15 R 54 147) Find the product of 18 and 407. A) 7,326 B) 7,333
C) 846
Decide whether the given number is a solution of the given equation. 148) Is 7 a solution of 6x - 4 = 73 - 5x? A) yes B) no
17
D) 7,319
145)
146)
147)
148)
Solve. 149) Find 7 subtracted from 61. A) 55
B) 53
Write the whole number in standard form. 150) Thirty-two thousand, nine hundred five A) 32,950 B) 320,905
C) 64
D) 54
C) 32,905
D) 3295
Solve the problem. 151) The double-bar graph below shows the number of sales made by Fred and Megan from January through May. Find the average number of sales made by Fred for the 5-month period.
A) 6 Simplify. 152)
B) 8
C) 5
153) 25 ÷ 0 A) undefined Divide. 154) 6,719 ÷ 14 A) 479 R 11
151)
152) B) 6
C) 23
D) 24
B) 1
C) 25
D) 0
B) 13
C) 479 R 13
D) 479
Solve. 155) One bag of Alice's favorite cookies contains 324 calories. How many calories are in 6 bags of cookies? A) 1,920 cal B) 1,944 cal C) 2124 cal D) 1,800 cal Find the quotient. 156) 16 ÷ 16 A) 16
150)
D) 4
3 2 - 2 3 + 23 12 ÷ 3 · 2 · 1 ÷ 2
A) 12
149)
B) 1
C) 0
18
D) undefined
153)
154)
155)
156)
Estimate the sum or difference by rounding each number to the nearest hundred. 157) 5,894 7,338 + 3,538 A) 16,700 B) 16,000 C) 18,000
157)
D) 16,800
Round the whole number to the given place. 158) In 2005, the sales of a certain multinational corporation were $96,761,000,000. Round this amount to the nearest billion. A) $96,800,000,000 B) $97,000,000,000 C) $100,000,000,000 D) $96,000,000,000 Simplify. 159) 48 ÷ 0 + 3 A) 51 Add.
160)
B) 3
C) 16
D) undefined
B) 12,824
Evaluate the expression for the given replacement values. 161) 4x2 + 5y for x = 2, y = 9 A) 109
159)
160)
3,756 270 86 + 8,822
A) 11,834
158)
B) 61
C) 12,934
D) 11,924
C) 334
D) 324
Solve. 162) Fill in the missing digits in the problem.
161)
162)
8__ × __7 588 2,520 3,108 A) 1, 2 C) 4, 3
B) 8, 6 D) cannot be determined
Simplify. 163) (65 - 10) · [(80 + 10 ÷ 5) - (6 · 6 - 1 · 1)] A) 2,642 B) 2,685
C) 2,549
D) 2,585
Multiply. 164) 26 · 0 · 8 A) 168
C) 208
D) 0
B) 308
19
163)
164)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
165) Use the facts below. 2 ·3 = 6
4 + 17 = 21
The 11 above is called the
A) difference
165)
7 5 35
20 - 9 = 11 .
B) subtrahend
Evaluate the expression for the given replacement values. 166) (x + 4y)2 for x = 4, y = 4 A) 400
minuend variable expression digits area
B) 63
C) minuend
D) quotient
C) 20
D) 40
166)
The table shows the number of votes received by each candidate in an election along with the amount spent by the candidate on advertising. Use the table to answer the question. . Amount Spent on Candidate Number of Votes Advertising ($) Jose Gonzales 57,209 59,104 Angela Wong 67,108 59,024 Sue Miller 67,091 102,376 Tyler Johnson 41,036 66,514 Sandra Ouye 41,009 72,607
167) Which candidate received the fewest votes? A) Jose Gonzales B) Sandra Ouye
C) Sue Miller
D) Tyler Johnson
167)
The bar graph shows the number of new residents in several towns during the years 1999 to 2001. Use the graph to answer the question.
168) What was the total number of new residents in the four towns during the year 2000? A) 599 B) 465 C) 619 D) 567
20
168)
Add.
169)
169)
6 5 3 3 + 6
A) 21
B) 24
C) 26
Determine which numbers in the set are solutions to the equation. 170) x + 2 = 9; {6, 7, 8} A) 8 B) 7 C) 6
D) 23
D) none of them
Write the whole number in words. 171) 4,200,091 A) four million, two hundred thousand, ninety-one B) four million, two hundred ninety-one C) four million, twenty thousand, ninety-one D) forty-two thousand, ninety-one Insert parentheses in order to make the statement true. 172) 3 + 2 · 7 - 3 = 20 A) (3 + 2) · 7 - 3 = 20 C) 3 + (2 · 7 )- 3= 20
A) 6
Write using exponential notation. 174) 3 · 3 A) 3 2
171)
172)
B) 3 + 2 · (7 - 3) = 20 D) (3 + 2) · (7 - 3) = 20
Evaluate the expression for the given replacement values. 173) (7x - yz)3 for x = 2, y = 4, z = 3 B) 27,000
C) 270
B) 2 3
Round the whole number to the given place. 175) 55,139 to the nearest thousand A) 56,000 B) 55,100
21
170)
D) 8
173)
174)
C) 3 3
D) 2 · 3
C) 65,000
D) 55,000
175)
The bar graph shows the number of new residents in several towns during the years 1999 to 2001. Use the graph to answer the question.
176) During the period 1999-2001, how many more new residents were there in Crawley than in Hatsburg? A) 186 B) 199 C) 208 D) 182
176)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
177) Use the facts below. 2 ·3 = 6
4 + 17 = 21
The 20 above is called the
A) minuend
minuend variable expression digits area
177)
7 5 35
20 - 9 = 11 .
B) subtrahend
C) difference
D) dividend
The table shows the number of votes received by each candidate in the last election. Candidate Mr. Olsen Ms. Li Mr. Barone Ms. Vaporis
Votes 2078 3760 2780 3706
178) Write the number of votes received by Mr. Barone in expanded form. A) 2000 + 70 + 8 B) 2000 + 700 + 80 C) 2700 + 80 Subtract. 179) 83,552 - 7,156 A) 76,396
B) 84,216
C) 80,396
22
D) 2000 + 700 + 8
D) 76,096
178)
179)
Add.
180) 990 + 64,505 A) 74,405
Multiply. 181)
B) 65,495
C) 66,925
D) 64,495
180)
181)
557 × 110
A) 55,700
B) 6,127
C) 61,270
D) 612,700
B) 26
C) 52
D) 3
Simplify.
182) 3[(5 - 3)2 + (20 - 17)2 ] + 13 A) 78
182)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
minuend variable expression digits area
183) A combination of operations on variables and numbers is called a(n) A) exponent
B) addend
Write the whole number in expanded form. 184) 10,600 A) 10,000 + 6000 B) 10,000 + 600 Add.
185)
.
C) equation
D) expression
C) 1000 + 600
D) 1,600,000
B) 81,900
Evaluate the expression for the given replacement values. 186) x - y + z for x = 22, y = 7, z = 2 A) 18 B) 31 Write using exponential notation. 187) 6 · 6 · 6 A) 3 · 6
184)
185)
80,992 + 898
A) 81,790
183)
B) 6 3
C) 89,972
D) 81,890
C) 13
D) 17
C) 3 6
D) 6 1
Solve. 188) Amy teaches Chinese lessons for $35 per student for a 6-week session. From one group of students, she collects $1,085. Find how many students are in the group. A) 21 students B) 33 students C) 35 students D) 31 students
23
186)
187)
188)
189) What is 4,089 plus 513 plus 30? A) 4,642 B) 4,605
C) 4,532
D) 4,632
Evaluate the expression for the given replacement values. 7x 2y for x = 24, y = 32 + 190) 4 4
Add.
190)
A) 106
B) 58
C) 50
D) 44
191) 26 + 75 A) 100
B) 101
C) 91
D) 102
B) 88
C) 40
D) 104
Simplify. 192) (4 + 7) · 5 + [49 ÷ (7 ÷ 7)] A) 56
189)
191)
192)
The table shows the number of votes received by each candidate in the last election. Candidate Mr. Olsen Ms. Li Mr. Barone Ms. Vaporis
Votes 2078 3760 2780 3706
193) Which candidate was in second place in the election? A) Ms. Li B) Mr. Olsen C) Ms. Vaporis Multiply. 194)
D) Mr. Barone
194)
236 × 12
A) 2,842
B) 2,932
C) 2,832
D) 2,822
Evaluate the expression for the given replacement values. 20x - 15 for x = 6, y = 5 195) y A) 9
193)
195)
B) 117
C) 21
Estimate the sum or difference by rounding each number to the nearest hundred. 196) 9,361 - 1,933 A) 7,428 B) 7,500 C) 7,000
24
D) 12
D) 7,400
196)
Add.
197)
197)
2,882 38 66 + 9,362
A) 11,248
B) 12,348
C) 11,338
D) 12,238
The table shows the number of votes received by each candidate in an election along with the amount spent by the candidate on advertising. Use the table to answer the question. . Amount Spent on Candidate Number of Votes Advertising ($) Jose Gonzales 57,209 59,104 Angela Wong 67,108 59,024 Sue Miller 67,091 102,376 Tyler Johnson 41,036 66,514 Sandra Ouye 41,009 72,607
198) How many votes were received by Sue Miller? A) 67,108 B) 67,901
C) 67,091
D) 102,376
C) 1,067
D) 1,067 R 1
198)
Divide. 199) 6 6,414 A) 1,069 R 5
B) 1,069
Estimate the sum or difference by rounding each number to the nearest hundred. 200) 381 - 243
200)
A) 100
B) 600
C) 200
D) 138
Solve. 201) Subtract 68 from 814. A) 646
B) 746
C) 882
D) 738
Add.
202) 648 + 828 + 39 + 9,906 A) 11,421
Multiply. 203) (17)(489)(0) A) 8,413
B) 11,311
C) 10,321
D) 10,411
B) 0
C) 8,313
D) 8,303
Solve the problem by estimating. 204) Andy wants to buy a refrigerator for $699, a stove for $659, and a dishwasher for $249. Round each cost to the nearest hundred to estimate the total cost. A) $1,700 B) $1,500 C) $1,400 D) $1,600 25
199)
201)
202)
203)
204)
Simplify. 205) 8 + 16 ÷ 4 · 2 - 5 A) 21
B) 7
C) 11
D) 27
205)
The table shows the number of votes received by each candidate in an election along with the amount spent by the candidate on advertising. Use the table to answer the question. . Amount Spent on Candidate Number of Votes Advertising ($) Jose Gonzales 57,209 59,104 Angela Wong 67,108 59,024 Sue Miller 67,091 102,376 Tyler Johnson 41,036 66,514 Sandra Ouye 41,009 72,607
206) How much was spent on advertising by Tyler Johnson? A) $66,154 B) $72,607 C) $66,514
D) $41,036
Solve. 207) If the area of a rectangle is 63 square miles and its length is 9 miles, what is its width?
206)
207)
9 miles
?
A = 63 square miles
A) 9 mi
B) 567 mi
C)
81 mi 7
D) 7 mi
Determine the place value of the digit 3 in the whole number. 208) 403,681,295 A) hundred-thousands B) hundred-millions C) thousands D) millions Add.
209) 60 + 300 + 80 A) 116
B) 340
Round the whole number to the given place. 210) 18,665,469 to the nearest million A) 18,700,000 B) 19,000,000
208)
C) 44
D) 440
C) 18,000,000
D) 18,665,000
Determine the place value of the digit 3 in the whole number. 211) 2530 A) tens B) ones C) hundreds
D) thousands
Write the whole number in the sentence in standard form. 212) The population of BigTown is one million, three hundred thirty-five thousand, five hundred six. A) 13,035,560 B) 1,335,506 C) 133,506 D) 1,035,506 26
209)
210)
211)
212)
Divide. 213) 4,641 ÷ 6 A) 773 R 2
B) 772 R 9
C) 773
D) 773 R 3
Solve. 214) A store sold 39 lamps on Monday, 18 lamps on Tuesday, and 26 lamps on Wednesday. How many lamps did the store sell in all? A) 83 lamps B) 82 lamps C) 84 lamps D) 93 lamps Write using exponential notation. 215) 10 · 10 · 10 · 10 A) 101
B) 4 10
C) 4 · 10
D) 104
Simplify. 216) {[57 - 2 · 2] - [84 ÷ (1 + 2)]} · 7 A) 175 B) 161
C) 217
D) 252
213)
214)
215)
216)
The bar graph shows the number of new residents in several towns during the years 1999 to 2001. Use the graph to answer the question.
217) In the year 2000, which town had the smallest number of new residents? A) Birton B) Hatsburg C) Crawley Add.
218)
D) Middleton
218)
93,696 + 35,238
A) 127,934
217)
B) 127,834
C) 128,934
27
D) 138,934
Estimate the sum or difference by rounding each number to the nearest ten. 219) 46 69 48 38 + 27 A) 228
B) 240
C) 230
219)
D) 200
Round the whole number to the given place. 220) A publishing company sold 18,268,591 books in 2000. Round the number of books sold to the nearest ten-million. A) 18,270,000 B) 20,000,000 C) 10,000,000 D) 18,000,000 Solve the problem by estimating. 221) Estimate the perimeter by first rounding each length to the nearest hundred.
5,805 feet
A) 16,900 ft
220)
221)
7,122 feet
3,948 feet
B) 11,459,100 ft
C) 16,800 ft
D) 8,400 ft
C) 16
D) 2
C) 370
D) 0
Simplify.
222) 25 - [7 + (11 - 3)] - (5 - 3)3 A) 34 B) 18
Multiply. 223) 37 · 0 A) 1
B) 37
Write the phrase as a variable expression. Use x to represent "a number." 224) The total of 15 and a number A) 15x B) 15 C) 15 + x
D) 15 - x
Solve. 225) Find the quotient of 66 and 16. A) 4 R 3 B) 5 R 2
C) 4 R 2
D) 3 R 3
C) 12
D) 42
222)
223)
224)
225)
Simplify.
226) 36 ÷ [2 2 + (41 - 6) - 3 3 ] + 3 · 2 A) 9 B) 78
28
226)
Divide. 227) 30 69,630 A) 2,311
B) 2,321
C) 2,331 R 24
D) 2,326 R 16
Solve. 228) Ms. Losch has a piece of rope 207 feet long that she cuts into pieces for an experiment in her first-grade class. Each piece of rope is to be 7 feet long. How many 7 foot long pieces of rope can she cut from the original piece of rope? A) 33 pieces of rope B) 29 pieces of rope C) 4 pieces of rope D) 30 pieces of rope Use the distributive property to rewrite the expression. 229) 9(7 + 10) A) 9 · 7 + 9 · 10 B) 9 · 7 + 10
C) 9 + 7 + 10
D) 9 · 7 · 10
Estimate the sum or difference by rounding each number to the nearest ten. 230) 72 - 26 A) 40
B) 100
C) 50
B) 441
C) 445
228)
229)
230)
D) 46
Solve the problem by estimating. 231) Enrollment figures at a community college showed an increase from 34,674 credit hours in 2005 to 62,475 credit hours in 2006. Round each number to the nearest thousand to estimate the increase. A) 27,000 credit hours B) 27,900 credit hours C) 28,000 credit hours D) 27,800 credit hours Solve. 232) Find 512 less 67. A) 579
227)
D) 345
231)
232)
The bar graph shows the number of new residents in several towns during the years 1999 to 2001. Use the graph to answer the question.
233) What was the increase in the number of new residents in Birton from 1,999 to 2,000? A) 21 B) 60 C) 58 D) 23
29
233)
Find the quotient. 234) 45 ÷ 0 A) 0
234)
1 B) 45
C) 45
D) undefined
Write the whole number in the sentence in standard form. 235) Last year the population of a city increased by two thousand, one hundred eight. A) 2108 B) 2180 C) 21,008 D) 2018 Subtract. 236)
236)
8,739 - 1,494
A) 7,237 Solve the problem. 237) The expression
235)
B) 7,177
C) 8,245
D) 7,245
9C + 32 gives the equivalent degrees Fahrenheit for C degrees Celsius. Evaluate 5
237)
this expression when C = 65 to find the equivalent temperature in degrees Fahrenheit. A) 149 B) 162 C) 148 D) 136
Divide. 238) 4,442 ÷ 5 A) 890 Add.
239)
B) 888
C) 888 R 2
D) 888 R 4
239)
708,265 68,143 + 5,400,621
A) 6,167,029
B) 6,277,029
C) 6,177,029
D) 6,187,029
Estimate the sum or difference by rounding each number to the nearest hundred. 240) 3,569 + 3,151 A) 6,800
238)
240)
B) 7,000
C) 6,720
D) 6,700
B) 100,000
C) 9,765,625
D) 1,000,000
Evaluate.
241) 105 A) 50
30
241)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
242) A(n)
perimeter equation addend subtrahend
dividend divisor exponent product
minuend variable expression digits area
of an equation is a value of the variable that makes the equation a true
statement. A) sum
B) set
C) solution
D) expression
243) (72 - 3) · 4 A) 184
B) 112
C) 37
D) 64
B) 30 R 6
C) 35
D) 30 R 5
242)
Simplify.
Solve. 244) Find 215 divided by 7. A) 30
Round the whole number to the given place. 245) 606 to the nearest ten A) 710 B) 610
C) 600
D) 620
246) In 2005, a company spent $593,749,623 on television advertising. Round this amount to the nearest hundred-million. A) $593,800,000 B) $500,000,000 C) $593,700,000 D) $600,000,000
243)
244)
245)
246)
Evaluate.
247) 4 3
248) 8 4
A) 12
B) 65
C) 13
D) 64
A) 65,536
B) 32
C) 512
D) 4,096
Estimate the answer by rounding as indicated. 249) Estimate the product by rounding each factor to the nearest thousand. 9,461 × 6,704 A) 63,427,000 B) 63,650,000 C) 63,426,500
31
247)
248)
249) D) 63,000,000
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
250) Use the facts below. 2 ·3 = 6
4 + 17 = 21
A) quotient Add.
251) 179 + 7,411 A) 7,590
250)
7 5 35
20 - 9 = 11
The 21 above is called the
minuend variable expression digits area
.
B) product
C) addend
B) 7,490
C) 7,600
D) sum
D) 6,590
Round the following to the nearest ten, nearest hundred, and nearest thousand. 252) 3880 3,880 3,890 A) Ten B) Ten Hundred 3,800 Hundred 3,900 Thousand 4,000 Thousand 4,000 3,880 3,890 C) Ten D) Ten Hundred 3,900 Hundred 3,800 Thousand 4,000 Thousand 3,000 Simplify. 253) 4 · {(300 - 50 ÷ 5) - [3 · 17 - (8 - 2 · 3)]} A) 914 B) 2,740 Find the quotient. 254) 23 ÷ 1 A) 23
C) 964
251)
252)
D) -536
253)
254)
1 B) 23
C) 1
Write the whole number in the sentence in standard form. 255) Andy collected eighty-two thousand dollars for his campaign. A) 80,002 B) 802,000 C) 8200
D) undefined
D) 82,000
Write using exponential notation. 256) 20 · 20 · 20 · 20 · 20 A) 5 · 520
B) 5 20
C) 205
D) 5 · 20
Simplify. 257) 36 + 27 A) 53
B) 62
C) 64
D) 63
32
255)
256)
257)
Multiply. 258)
258)
1,644 × 1,206
A) 1,686,744
B) 2,071,440
C) 1,982,664
D) 1,653,864
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
259) The A) difference
perimeter equation addend subtrahend
dividend divisor exponent product
minuend variable expression digits area
259)
used to write numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
B) dividend
C) divisor
D) digits
Solve. 260) The table below shows the population of four states in selected years. Population of Four States from 1960 to 2000 Source: US Census Bureau 1960 1970 1980 Illinois 10,081,158 11,110,285 11,427,409 Michigan 7,823,194 8,881,826 9,262,044 Indiana 4,662,498 5,195,392 5,490,212 Minnesota 3,413,864 3,806,103 4,075,970
260)
1990 11,430,602 9,295,297 5,544,159 4,375,099
How much did the population of Illinois increase from 1,970 to 1,980? A) 662,006 B) 269,967 C) 269,867
2000 12,051,683 9,679,052 6,045,521 4,830,784
D) 662,106
261) A dairy produces 710,000 quarts of milk each day. There are 4 quarts in a gallon. How many gallons of milk are produced each day? A) 17,750 gal B) 2,840,000 gal C) 1,775,000 gal D) 177,500 gal Find the quotient. 262) 2 ÷ 1 A) 0 Add.
263) 8,794 + 2,367 A) 1,526 264)
B) 2
C) 1
D) undefined
B) 1,627
C) 11,161
D) 1,651
262)
263)
264)
3,259,694 4,005,027 + 7,295,103
A) 14,559,814
261)
B) 14,560,824
C) 14,559,824
33
D) 14,659,824
Decide whether the given number is a solution of the given equation. 265) Is 1 a solution of p + 12 = 13? A) yes B) no
265)
Solve. 266) Lew is installing an invisible fence in his back yard which measures 113 feet by 69 feet by 87 feet by 93 feet. How many feet of wiring is needed to enclose his yard? A) 382 ft B) 352 ft C) 372 ft D) 362 ft Write the whole number in expanded form. 267) 9,285 A) 5000 + 800 + 20 + 9 C) 9000 + 200 + 80 + 5
B) 9,285,000 D) 900 + 80 + 2
Evaluate the expression for the given replacement values. 268) x - (y + z) for x = 24, y = 6, z = 1 A) 17 B) 20
C) 31
267)
D) 19
Estimate the sum or difference by rounding each number to the nearest hundred. 269) 5,304 + 7,322 + 3,829 A) 16,000 B) 18,000 C) 16,500
266)
D) 16,400
268)
269)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
270) The A) digits
perimeter equation addend subtrahend
dividend divisor exponent product
minuend variable expression digits area
270)
are 0, 1, 2, 3, . . .
B) place value
C) factor
D) whole numbers
Round the whole number to the given place. 271) In 2005, a company spent $793,749,448 on advertising. Round the advertising figure to the nearest hundred-thousand. A) 793,700,000 B) 700,000,000 C) 800,000,000 D) 793,800,000 Simplify. 272)
30(9 - 6) - 18 32 - 3
A) 15 Multiply. 273)
272) B) 16
C) 12
D) 24
273)
159 × 366
A) 58,294
271)
B) 58,184
C) 58,194
34
D) 58,204
Use the distributive property to rewrite the expression. 274) 31(32 + 22) A) 31 + 32 + 22 B) 31 · 54
C) 31 · 32 + 31 · 22
D) 31 · 32 + 22
C) 664
D) 1,002
274)
Simplify.
275) 350 - 2 4· 24 ÷ (4·3 - 2·2) A) 314
Subtract. 276)
B) 302
276)
92,439 - 57,795
A) 34,634
275)
B) 34,574
Write the whole number in standard form. 277) One hundred million, six thousand A) 1,600,000 B) 106,000,000
C) 34,644
D) 41,644
C) 1006
D) 100,006,000
C) 36
D) 1,728
277)
Evaluate.
278) 3 · 43 A) 192
B) 67
Solve. 279) One ticket won a prize of $9,425,000. The winning ticket was purchased by 29 people who had pooled their money. Find how many dollars each person receives if they each receive an equal share. A) $32,500 B) $32,600 C) $324,000 D) $325,000 Write the whole number in standard form. 280) Six hundred thirty-eight thousand, nine hundred ninety-seven A) 638,000 B) 638,997,000 C) 638,997
D) 638,977
278)
279)
280)
Divide. 281) 4 20 A) 4 R 4
B) 6
Evaluate the expression for the given replacement values. 282) x - 6yz for x = 76 , y = 2, z = 3 A) 420 B) 192
C) 5
D) 4 R 3
C) 65
D) 40
Write the phrase as a variable expression. Use x to represent "a number." 283) 5 decreased by 3 times a number A) 5x - 3 B) 5 - 3x C) 3x - 5
35
D) 3 - 5x
281)
282)
283)
Solve the problem. 284) The bar graph shows the number of tickets sold each week by the garden club for their annual flower show. What was the average number of tickets sold during weeks 3, 4, and 5?
A) 43
B) 42
C) 44
D) 129
Solve. 285) It is 67 miles from Franklin to Middleton. It is 95 miles from Middleton to Oak Hill. Driving directly, it is 125 miles directly from Franklin to Oak Hill. It is 25 miles from Oak Hill to Jackson. If Juan drives from Franklin to Middleton, then from Middleton to Oak Hill, and finally home to Franklin, how many miles does he drive? A) 277 mi B) 217 mi C) 312 mi D) 287 mi Add.
286)
285)
286)
12 31 + 21
A) 37
284)
B) 55
C) 46
D) 64
Determine which numbers in the set are solutions to the equation. 287) 43 - n = 35 ; {7, 8, 9} A) 9 B) 8 C) 7
D) none of them
Simplify. 288) 0 ÷ 3 + 7 · 2 A) 17
D) undefined
B) 20
C) 14
36
287)
288)
Evaluate the expression for the given replacement values. x y for x = 12, y = 16 289) + 2 2 A) 28
289)
B) 20
C) 14
D) 22
Solve. 290) In a distant galaxy the gravity of planet A is 219 times as strong as the gravity of planet B, so objects on planet A weigh 219 times as much as they weigh on planet B. If the object weighs 35,478 pounds on planet A, how much does it weigh on plant B? A) 1,620 lb B) 155 lb C) 172 lb D) 162 lb Find the average of the list of numbers. 291) 422, 848, 813, 869 A) 638 B) 788 Subtract. 292)
C) 738
D) 762
290)
291)
292)
69 - 24
A) 145
B) 37
C) 93
D) 45
Write using exponential notation. 293) 4 · 4 · 5 · 5 · 5 · 5 A) 4 2 · 5 4
B) 4 · 56
C) 206
D) 2 4 · 4 5
Find the perimeter and the area of the figure. 294)
293)
294)
10 yards
A) perimeter: 40 yd; area: 100 sq yd C) perimeter: 40 yd; area: 400 sq yd
B) perimeter: 20 yd; area: 100 sq yd D) perimeter: 100 yd; area: 40 sq yd
Estimate the sum or difference by rounding each number to the nearest ten. 295) 523 - 98 A) 425
B) 420
C) 430
295)
D) 400
Solve the problem by estimating. 296) Nicole can buy a motorbike for $2,837 or a car for $5,461. Round each price to the nearest hundred to estimate the difference in the prices of the two vehicles. A) $3,000 B) $2,624 C) $2,700 D) $2,600
37
296)
Find the area of the rectangle. 297)
297)
6 feet
12 feet
A) 108 sq ft
B) 144 sq ft
C) 36 sq ft
D) 72 sq ft
Decide whether the given number is a solution of the given equation. 298) Is 4 a solution of p - 1 = 3 ? A) yes B) no
298)
Estimate the result of the calculation. Use your estimate to determine if the result appears to be correct or incorrect. 299) 777 + 635 + 687 + 570 = 2,669 299) A) Incorrect. Estimate: 2,800 B) Incorrect. Estimate: 2,600 C) Correct. Estimate: 2,700 D) Incorrect. Estimate: 2,900 Write the whole number in expanded form. 300) 57,309,002 A) 50,000,000 + 700,000 + 30,000 + 9000 + 2 B) 50,000,000 + 7,000,000 + 300,000 + 9000 + 2 C) 50,000,000 + 7,000,000 + 300,000 + 900 + 2 D) 57,000,000 + 309,000 + 2
300)
Round the whole number to the given place. 301) 777,499 to the nearest thousand A) 778,000 B) 777,000
C) 777,500
D) 777,400
301)
The bar graph shows the number of new residents in several towns during the years 1999 to 2001. Use the graph to answer the question.
302) In the year 2000, how many more new residents did Crawley have than Middleton? A) 84 B) 78 C) 35 D) 32 38
302)
Evaluate the expression for the given replacement values. 14x + 2y for x = 6, y = 10 303) 4 A) 104
303)
B) 26
C) 38
D) -16
B) 18 R 6
C) 19
D) 18
Find the average of the list of numbers. 305) 49, 35, 18, 13, 42, 17 A) 27 B) 30
C) 29
D) 35
Divide. 306) 234,163 ÷ 370 A) 632 R 323
C) 632 R 273
D) 632
Divide. 304) 127 ÷ 7 A) 18 R 1
B) 323
304)
305)
306)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
307) A(n)
perimeter equation addend subtrahend
dividend divisor exponent product
minuend variable expression digits area
307)
can be written in the form "expression = expression."
A) area
B) addend
C) exponent
D) equation
Round the whole number to the given place. 308) 897 to the nearest ten A) 890 B) 900
C) 880
D) 910
Simplify. 309) [38 - (4 + 6) ÷ 2] - [1 + 6 ÷ 3] A) 37 B) 30
C) 27
D) 25
308)
309)
The table shows the number of votes received by each candidate in the last election. Candidate Mr. Olsen Ms. Li Mr. Barone Ms. Vaporis
Votes 2078 3760 2780 3706
310) Write the number of votes received by Ms. Vaporis in expanded form. A) 3700 + 6 B) 300 + 70 + 6 C) 3000 + 700 + 6 Write the whole number in expanded form. 311) 652 A) 600 + 50 + 2 B) 200 + 50 + 6
C) 6000 + 500 + 20
39
D) 3000 + 70 + 6
D) 65,200
310)
311)
Evaluate the expression for the given replacement values. 9x for x = 72, y = 9 312) y
312)
A) 567
B) 576
C) 81
D) 72
A) 14
B) 64
C) 128
D) 49
B) 5 · 3
C) 3 0
D) 3 5
Evaluate.
313) 7 2
Write using exponential notation. 314) 3 · 3 · 3 · 3 · 3 A) 5 3
313)
314)
Evaluate.
315) 2 7
A) 256
B) 128
C) 49
D) 14
315)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
316) Use the facts below. 2 ·3 = 6
4 + 17 = 21
A) factor
.
B) dividend
C) addend
Write the whole number in words. 317) 135,060 A) thirteen thousand, five hundred sixty C) one million, thirty-five thousand, sixty
D) divisor
B) thirteen thousand, five hundred six D) one hundred thirty-five thousand, sixty
Write the phrase as a variable expression. Use x to represent "a number." 318) The difference of a number and 49 A) 49 B) 49x C) x - 49 319) The quotient of 55 and a number A) 55 - x
316)
7 5 35
20 - 9 = 11
The 3 above is called a(n)
minuend variable expression digits area
B) x - 55
C)
55 x
D) 49 - x
D)
x 55
Solve. 320) A town's population in 1976 was 170,383. By the year 2000 it had increased by 26,741. How many people lived there in 2000? A) 197,224 people B) 198,124 people C) 197,124 people D) 196,124 people
40
317)
318)
319)
320)
Simplify. 321) (3 + 7)[7 + (6 + 8)] A) 108
B) 1,155
Evaluate the expression for the given replacement values. 322) x · y for x = 2, y = 89 A) 168 B) 171
C) 441
D) 210
C) 278
D) 178
C) 36
D) 16
321)
322)
Simplify.
323) 2[(6 - 3)2 + (20 - 18)2 ] + 10 A) 46
B) 2
Round the whole number to the given place. 324) 998 to the nearest ten A) 1,000 B) 990
C) 1,090
D) 10,000
323)
324)
Simplify.
325) 3 1 · 4 3 A) 36
B) 192
C) 67
D) 1,728
Solve. 326) An election for student body president was held over 3 days. On the first day Jason received 159 votes and Carol received 218 votes. On the second day Jason received 189 votes and Carol received 345 votes. On the third day Jason received 242 votes and Carol received 313 votes. How many votes did Carol receive? A) 590 votes B) 847 votes C) 776 votes D) 876 votes 327) Amy teaches Chinese lessons for $75 per student for a 6-week session. From one group of students, she collects $2,025. How many students are in the group? A) 29 students B) 31 students C) 27 students D) 17 students
325)
326)
327)
The bar graph shows the number of new residents in several towns during the years 1999 to 2001. Use the graph to answer the question.
328) What was the total number of new residents in Hatsburg during the years 1999 to 2001? A) 330 B) 321 C) 417 D) 433
41
328)
Find the perimeter and the area of the figure. 329) 36 feet
329)
12 feet
A) perimeter: 96 ft; area: 864 sq ft C) perimeter: 48 ft; area: 432 sq ft
B) perimeter: 96 ft; area: 432 sq ft D) perimeter: 432 ft; area: 96 sq ft
Solve. 330) Find 28 subtracted from 85. A) 97 B) 57
C) 113
Determine the place value of the digit 3 in the whole number. 331) 30,500,421 A) millions B) tens C) ten-millions Write using exponential notation. 332) 7 · 7 · 7 · 7 A) 4 7
B) 7 4
C) 28
D) 47
D) ten-thousands
D) 7 2
Determine the place value of the digit 3 in the whole number. 333) 25,304,168 A) hundred-thousands B) ten-thousands C) thousands D) hundreds Multiply. 334) 96 · 1 A) 1 Subtract. 335)
C) 961
D) 0
Simplify. 337) 6,117 · 100 A) 6,117,100
332)
334)
335)
B) 2,560
C) 2,484
D) 2,544
336)
4,028 × 2
A) 8,156
331)
333)
2,698 - 138
A) 560 Multiply. 336)
B) 96
330)
B) 7,956
C) 8,066
D) 8,056
B) 611,700
C) 6,117,000
D) 611,710
42
337)
Write the whole number in words. 338) 70,146 A) seven million, one thousand, forty-six C) seventy thousand, one hundred forty-six Add.
339) 11,213 + 24,132 A) 35,525
B) seven thousand, one hundred forty-six D) seven hundred one thousand, forty-six
B) 35,526
C) 35,345
D) 53,345
Solve. 340) Karen went shopping for holiday presents for her family. She spent $366 on Monday, $167 on Tuesday, and $252 on Wednesday. What is the total amount of money that she spent on gifts? A) $685 B) $795 C) $895 D) $785 341) A stock worth $156 per share on July 12 dropped to $78 per share on July 31 of the same year. Find how much it lost in value from July 12th to the 31st. A) $82 B) $78 C) $88 D) $79
338)
339)
340)
341)
Divide. 342) 42 40,236 A) 948
B) 968 R 12
C) 963 R 4
D) 958
Write the whole number in words. 343) 22,000,674 A) twenty-two million, six hundred seventy-four B) two million, two thousand, six hundred seventy-four C) twenty-two hundred million, six hundred seventy-four D) twenty-two million, six thousand seventy-four Estimate the answer by rounding as indicated. 344) Estimate the product by rounding each factor to the nearest hundred. 809 × 206 A) 1600 B) 16,000,000 C) 16,000
342)
343)
344) D) 160,000
Divide. 345) 42 756 A) 19 R 5
B) 18
C) 19 R 32
D) 18 R 34
Write the whole number in the sentence in standard form. 346) The Johnsons have driven their car forty-eight thousand, eight hundred six miles in the last few years. A) 4886 B) 480,806 C) 48,806 D) 48,860
43
345)
346)
Add.
347)
347)
6,940 167 94 7,198 + 9,453
A) 22,752 Subtract. 348)
B) 22,842
C) 23,742
D) 23,852
348)
70,000 - 27,689
A) 42,311
B) 57,689
C) 87,689
D) 84,531
B) 111
C) 11
D) undefined
Evaluate.
349) 111 A) 1
Round the following to the nearest ten, nearest hundred, and nearest thousand. 350) 4388 4,380 4,390 A) Ten B) Ten Hundred 4,400 Hundred 4,400 Thousand 4,000 Thousand 4,000 4,380 4,390 C) Ten D) Ten Hundred 4,300 Hundred 4,300 Thousand 5,000 Thousand 4,000 Simplify. 351) 12 + 9 ÷ 3 · 2 - 4 A) 10 352) 3 · (4 + 5)2 - 4 · (6 - 3)2 A) 253
B) 22
C) 32
B) 2,151
C) 585
350)
D) 14
D) 207
Find the area of the rectangle. 353)
351)
352)
353)
8 miles
8 miles
A) 64 sq mi
349)
B) 67 sq mi
C) 60 sq mi
44
D) 32 sq mi
Solve. 354) Tickets for a bluegrass music festival cost $25 for an adult, $15for seniors, $14 for students, and $8 354) for children under 12. The bluegrass society in the town of Puddington is providing a bus to take a group to the festival. Use the following table to find the total cost of the tickets for this group. The first row has been filled in for you. Person Adult Senior Student Child under 12
Number of Persons 12 5 25 5
A) $765
Cost per Person $25 $15 $14 $8
B) $753
Cost per Category $300
C) $62
D) $770
Find the area of the square. 355)
355)
11 centimeters
A) 121 sq cm Divide. 356)
B) 44 sq cm
C) 242 sq cm
D) 116 sq cm
5,270 155
A) 32 Simplify. 357) 0 ÷ 88 A) undefined
356) B) 34 R 5
C) 34
D) 32 R 27
B) 1
C) 0
D) 88
Translate the phrase into a mathematical expression. Use x to represent "a number". 358) The quotient of a number and 3 x A) B) x - 3 C) 3x 3
3 D) x
Solve. 359) Find the difference of 88 and 9 A) 78 B) 89
D) 80
Add.
360)
C) 79
358)
359)
360)
7,531 + 663
A) 7,194
357)
B) 8,204
C) 8,094
Evaluate the expression for the given replacement values. 361) 5x + 2y for x = 4 and y = 7 A) 34 B) 19
C) 7 45
D) 8,194
D) 22
361)
Find the quotient. 3 362) 0 A) 3
362) B) 1
C) 0
Provide an appropriate response. 363) Is 3 a solution of the equation 10x - 2 = 28? A) yes
D) undefined
363)
B) no
Simplify.
364) (80 + 4 2 ) ÷ 2 · 2 2 A) 12
B) 112
C) 82
Solve. 365) Find the product of 6 and 500. A) 30,000 B) 300 Subtract. 366)
C) 1100
D) 192
D) 3000
B) 7,448
C) 8,462
D) 6,552
Round the whole number to the given place. 367) 1,370 to the nearest hundred A) 1,400 B) 1,390
C) 1,300
D) 1,500
Solve. 368) Pat is trading her car in for a new car. The new car costs $30,025. Her car is worth $2,998. How much more money does she need to buy the new car? A) $27,028 B) $26,927 C) $27,017 D) $27,027 Find the quotient. 28 369) 7 A) 4 Simplify. 370)
Multiply. 371)
B) 5
C) 3 R 6
368)
D) 3 R 7
370) B) 236
C) 60
D) 228
371)
1,107 × 405
A) 49,815
367)
369)
240 -4 8
A) 26
365)
366)
9,010 - 2,458
A) 7,662
364)
B) 447,228
C) 9,963 46
D) 448,335
Solve the problem by estimating. 372) In 1999, the population of Capital City was 8,195,831 and the population of Spring City was 4,042,652.. Round each population to the nearest hundred-thousand to estimate the difference in the populations of the two cities. A) 4,200,000 B) 4,300,000 C) 4,100,000 D) 4,153,000
Add.
372)
373) The Pan family took a trip and traveled 90, 265, 549, 839, 598, and 460 miles on 6 consecutive days. Round each distance to the nearest hundred to estimate the distance they traveled. A) 2,900 miles B) 2,800 miles C) 3,000 miles D) 2,700 miles
373)
374)
374)
41 46 8 94 + 97
A) 296
B) 286
C) 358
D) 309
Find the area of the rectangle. 375) 13 meters
375)
19 meters
A) 494 sq m Multiply. 376)
B) 247 sq m
C) 32 sq m
D) 64 sq m
376)
56 × 4
A) 210
B) 224
Provide an appropriate response. 377) Evaluate 2 + (x3 - 8) for x = 4. A) 54
B) 70
C) 204
D) 324
C) 10
D) 58
Find the area of the rectangle. 378)
378)
24 feet 96 feet
A) 2,294 sq ft
377)
B) 2,304 sq ft
C) 2,314 sq ft
47
D) 240 sq ft
Solve. 379) The Forest County school system has 3,336 high school students, 4,356 middle school students, and 3,979 elementary school students. How many students are in the Forest County school system in total? A) 11,631 students B) 11,726 students C) 11,579 students D) 11,671 students Provide an appropriate response. 380) Write 75,993 in words. A) seventy-five thousand, nine hundred ninety-three B) seventy-five thousand, ninety-nine hundred, three C) seventy thousand, nine hundred ninety-three D) seven thousand, nine hundred ninety-three
379)
380)
Divide. 381) 4 544 A) 136 Simplify. 382)
B) 134
C) 139
D) 138
8 + 24 ÷ 2 22
A) 4
382) B) 5
C) 14
Write the phrase as a variable expression. Use x to represent "a number." 383) 149 less a number A) 149 - x
Simplify. 384) 38,614 ÷ 47 A) 821 R 27
B) x - 149
C) x + 149
B) 821 R 25
C) 27
D) 11
149 D) x
D) 821
Solve. 385) In preparation for his new job, Luke bought two suits at $164 a piece, six shirts at $27 a piece, two pairs of shoes at $66 a piece, and four ties at $28 a piece. What was the total cost of these items? A) $734 B) $764 C) $291 D) $786 Evaluate the expression for the given replacement values. 386) 4xy2 - 6 for x = 2, y = 5 A) 194
381)
B) 394
C) 1,594
D) 74
B) 1,331
C) 1,728
D) 36
B) 20
C) 0
D) undefined
383)
384)
385)
386)
Evaluate.
387) 123 A) 531,441
Simplify. 388) 20 ÷ 1 A) 1
48
387)
388)
Determine the place value of the digit 3 in the whole number. 389) 463,981 A) ten-thousands B) thousands C) hundred-thousands D) hundreds
389)
Round the whole number to the given place. 390) In 2005, the population of a certain city was 87,653,560. Round this number to the nearest million. A) 87,000,000 B) 88,000,000 C) 87,700,000 D) 90,000,000 Solve. 391) A mural on the wall of a building is a rectangle which measures 593 in. by 110 in. Find the area of the mural. A) 59,300 sq in. B) 6,523 sq in. C) 652,300 sq in. D) 65,230 sq in. 392) A spreadsheet is a rectangular array containing 28 rows and 20 entries in each row. How many entries does the spreadsheet contain? A) 560 entries B) 5600 entries C) 532 entries D) 15,680 entries Write the number in the sentence in words. 393) There were 961 cars parked in the lot outside a large mall. A) six hundred nine B) nine hundred sixty-one C) nine thousand sixty-one D) one hundred sixty-nine Find the area of the rectangle. 394) 18 feet
390)
391)
392)
393)
394)
18 feet
A) 72 sq ft
B) 36 sq ft
Solve. 395) Find the sum of 32 and 207. A) 6,624 B) 239
C) 648 sq ft
D) 324 sq ft
C) 478
D) 175
Find the perimeter. 396)
395)
396) 3 centimeters
8 centimeters
12 centimeters
7 centimeters
A) 55 cm
12 centimeters
13 centimeters
B) 43 cm
C) 49 cm
49
D) 62 cm
Solve the problem by estimating. 397) Linda scored 92, 95, 80, 78, 94, and 100 on her calculus tests. Round each score to the nearest ten to estimate her total score. A) 540 B) 520 C) 550 D) 530
397)
Divide. 398) 6 1,665 A) 276 R 9
B) 277
C) 277 R 3
D) 277 R 2
Write the whole number in words. 399) 64,568,009 A) sixty million, forty-five thousand, sixty-eight hundred and nine B) sixty-million, five thousand sixty-eight hundred, nine C) sixty-four million, five hundred sixty-eight thousand, nine D) sixty-four million, five hundred thousand, sixty-eight hundred, nine
398)
399)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
400) Use the facts below. 2 ·3 = 6
4 + 17 = 21
A) subtrahend Subtract. 401)
400)
7 5 35
20 - 9 = 11
The 7 above is called the
minuend variable expression digits area
.
B) quotient
C) dividend
D) divisor
401)
968 - 52
A) 912
B) 816
C) 1,020
D) 916
Write the whole number in standard form. 402) Eight thousand, one hundred sixty-seven A) 81,067 B) 810,067
C) 800,167
D) 8167
Write the whole number in expanded form. 403) 9,050 A) 90,000 + 5000 B) 905,000
C) 900 + 5
D) 9000 + 50
50
402)
403)
Solve the problem. 404) The following table shows the amount of income tax paid in 2005 by four people selected at random from 404)a certain town. Bill Jill Sue John
$825 $6,500 $2,600 $5,575
Find the average amount of income tax paid in 2005 by the two women. A) $3,875.00 B) $3,200.00 C) $9,100
Determine which numbers in the set are solutions to the equation. 405) 4 + (y + 3) = 14; {7, 8, 9} A) 7 B) 7 and 9 C) 9
D) $4,550
D) 8
Provide an appropriate response. 12x + 6y for x = 2 and y = 10. 406) Evaluate 6 A) 14
405)
406)
B) 6
C) 22
D) 84
Estimate the answer by rounding as indicated. 407) Estimate the product by rounding each factor to the nearest ten. 319 × 37 A) 11,803 B) 11,800 C) 360
407) D) 12,800
Write the number in the sentence in words. 408) The average population of the suburbs around a certain large city is 72,018. A) seventy-two thousand, one hundred eight B) seven thousand, two hundred eighteen C) seventy-two hundred, eighteen D) seventy-two thousand, eighteen
408)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
409) Use the facts below. 2 ·3 = 6
4 + 17 = 21
The 5 above is called the
A) divisor
minuend variable expression digits area
409)
7 5 35
20 - 9 = 11 .
B) factor
C) quotient
51
D) dividend
Solve. 410) A case of candy bars has 4 layers of candy bars. In each layer are 4 rows with 15 candy bars in each row. Find how many candy bars are in a case. A) 230 candy bars B) 240 candy bars C) 250 candy bars D) 239 candy bars
410)
Divide. 411) 3 15 A) 6
B) 4 R 2
C) 5
D) 4 R 3
Find the quotient. 0 412) 8
412)
A) 1 Divide. 413) 1,589 ÷ 15 A) 108 R 7
B) 8
C) 0
D) undefined
B) 108 R 5
C) 105
D) 105 R 14
Write the whole number in the sentence in standard form. 414) The volume of water in the lake is eight hundred twenty-one million, ninety-four thousand, six hundred thirteen gallons. A) 821,000,094,613 B) 82,194,613 C) 821,940,613 D) 821,094,613 Round the whole number to the given place. 415) 75,754 to the nearest thousand A) 75,800 B) 76,000 Find the perimeter. 416)
C) 75,000
D) 80,000
413)
414)
415)
416)
64 inches
100 inches
A) 426 in.
411)
113 inches
136 inches
B) 354 in.
C) 349 in.
D) 413 in.
Solve. 417) The seats in a lecture hall are arranged in 15 rows with 6 seats in each row. How many seats are in this lecture hall? A) 100 seats B) 96 seats C) 90 seats D) 84 seats 418) During the recent Homecoming football game, State U. scored the following: 3 six-point touchdowns, 3 extra points, 4 three-point field goals, and 1 two-point safety. What was State U.'s final score? A) 35 points B) 21 points C) 12 points D) 20 points
52
417)
418)
Subtract. 419)
419)
715 - 155
A) 560
B) 870
C) 460
D) 550
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
420) Use the facts below. 2 ·3 = 6
4 + 17 = 21
A) divisor Divide. 421) 9,666 ÷ 54 A) 179
420)
7 5 35
20 - 9 = 11
The 35 above is called the
minuend variable expression digits area
.
B) dividend
C) minuend
D) quotient
B) 180
C) 180 R 44
D) 179 R 45
Write the phrase as a variable expression. Use x to represent "a number." 422) The product of 9 and a number A) 9x
B) 9 + x
Evaluate the expression for the given replacement values. 423) 4y(3z - x) for x = 8, y = 4, z = 5 A) 112 B) 144
C) 9 - x
9 D) x
C) 232
D) 28
421)
422)
423)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
424) A letter used to represent a number is called a(n) A) solution
minuend variable expression digits area
424)
.
B) variable
C) place value
53
D) addend
Find the area of the rectangle. 425) 9 meters
425)
13 meters
A) 117 sq m
B) 234 sq m
C) 44 sq m
Write the number in the sentence in words. 426) Jennilee has 30,000 frequent flier miles. A) three thousand C) thirty thousand Simplify. 427) 240 ÷ 8 - 2 A) 234
D) 22 sq m
B) three hundred thousand D) thirty million
B) 230
C) 28
D) 40
426)
427)
The bar graph shows the number of new residents in several towns during the years 1999 to 2001. Use the graph to answer the question.
428) What was the total number of new residents in Birton during the years 1999 to 2001? A) 417 B) 282 C) 382 D) 330 Multiply. 429) 5,797 × 7 A) 40,589 430) 7 · 3 · 0 A) 0
B) 40,479
C) 40,679
D) 40,579
B) 10
C) 730
D) 21
Solve. 431) 196 chocolates are to be packed into boxes each of which will contain 8 chocolates. How many boxes of chocolates will there be? How many chocolates will be left over? A) 24 boxes; no chocolates left over B) 23 boxes; 5 chocolates left over C) 24 boxes; 4 chocolates left over D) 23 boxes; 4 chocolates left over
54
428)
429)
430)
431)
Add.
432)
432)
52 + 43
A) 95 433)
B) 86
D) 59 433)
544 + 597
A) 824 Simplify. 434)
C) 77
B) 1,141
C) 931
D) 925
434)
431 × 50
A) 31,550
B) 22,550
C) 21,550
D) 20,550
Evaluate the expression for the given replacement values. x+y for x = 42, y = 56 435) 7 A) 14
435)
B) 62
C) 98
D) 50
The table shows the number of votes received by each candidate in the last election. Candidate Mr. Olsen Ms. Li Mr. Barone Ms. Vaporis
Votes 2078 3760 2780 3706
436) Which candidate received the fewest votes? A) Mr. Barone B) Ms. Vaporis
C) Ms. Li
D) Mr. Olsen
Write the whole number in standard form. 437) Two hundred six thousand, one hundred seven A) 206,107 B) 260,170
C) 207,106
D) 2617
Write the whole number in expanded form. 438) 2,090,630 A) 2,000,000 + 90,000 + 6000 + 30 C) 2,000,000 + 90,000 + 600 + 30
B) 200,000 + 90,000 + 600 + 30 D) 2,000,000 + 9000 + 600 + 3
55
436)
437)
438)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
minuend variable expression digits area
439) A collection of numbers (or objects) enclosed by braces is called a(n) A) set
B) subtrahend
C) solution
.
439)
D) quotient
Find the area of the rectangle. 440)
440)
13 centimeters
13 centimeters
A) 164 sq cm Add.
441)
B) 338 sq cm
C) 169 sq cm
D) 52 sq cm
441)
278 + 87
A) 355
B) 366
C) 365
D) 1,148
Round the whole number to the given place. 442) In 2006, the number of students enrolled at a certain university was 17,671 . Round this number to the nearest thousand. A) 17,700 B) 18,000 C) 20,000 D) 17,000 Determine the place value of the digit 3 in the whole number. 443) 45,271,903 A) tens B) hundreds C) ten-millions Provide an appropriate response. 444) Determine which number in the set is a solution to the given equation. 8x - 6 = 20 - 5x; {0, 2 ,10} A) 2 B) none of them C) 10 Round the whole number to the given place. 445) 636,938 to the nearest ten thousand A) 630,000 B) 636,000
C) 640,000
56
D) ones
442)
443)
444) D) 0
D) 700,000
445)
Estimate the answer by rounding as indicated. 446) Estimate the product by rounding each factor to the nearest hundred. 933 × 765 A) 713,700 B) 720,000 C) 1,700
446) D) 713,745
The table shows the number of votes received by each candidate in an election along with the amount spent by the candidate on advertising. Use the table to answer the question. . Amount Spent on Candidate Number of Votes Advertising ($) Jose Gonzales 57,209 59,104 Angela Wong 67,108 59,024 Sue Miller 67,091 102,376 Tyler Johnson 41,036 66,514 Sandra Ouye 41,009 72,607
Add.
447) Write in words the amount spent on advertising by Sue Miller. A) one hundred twenty-three thousand, seventy-six B) one hundred two thousand, three hundred seventy-six C) one hundred twenty-three thousand, seven hundred sixty D) one hundred twenty thousand, three hundred seventy-six
447)
448)
448)
39 735 4,683 + 16,123
A) 21,480 Simplify. 449) 4 · 4 - 5 A) 4
B) 20,580
C) 21,560
B) 11
C) 80
D) 21,580
D) 21
449)
The table shows the number of votes received by each candidate in an election along with the amount spent by the candidate on advertising. Use the table to answer the question. . Amount Spent on Candidate Number of Votes Advertising ($) Jose Gonzales 57,209 59,104 Angela Wong 67,108 59,024 Sue Miller 67,091 102,376 Tyler Johnson 41,036 66,514 Sandra Ouye 41,009 72,607
450) Which candidate spent the least on advertising? A) Tyler Johnson B) Sandra Ouye
C) Jose Gonzales
57
D) Angela Wong
450)
Write the whole number in the sentence in standard form. 451) Last year a town consumed ninety-seven million, six thousand twenty-two gallons of water. A) 97,006,220 B) 976,022 C) 97,006,022 D) 97,060,022
451)
Divide. 452) 844 ÷ 11 A) 76 R 8
452)
B) 74 R 7
C) 76
D) 75 R 2
Solve. 453) Sue wants to add a decorative wallpaper border to her living room. Refer to the diagram below for the 453) dimensions of Sue's living room. How many feet of wallpaper border will she need? 8 ft 4 ft
16 ft
20 ft
16 ft
A) 84 ft
24 ft
B) 80 ft
C) 88 ft
D) 72 ft
Divide. 454) 6,480 ÷ 36 A) 180
B) 181
C) 180 R 27
D) 181 R 26
Multiply. 455) 654 × 284 A) 185,836
B) 185,726
C) 185,746
D) 185,736
454)
455)
The table shows the number of votes received by each candidate in the last election. Candidate Mr. Olsen Ms. Li Mr. Barone Ms. Vaporis
Votes 2078 3760 2780 3706
456) Write in words the number of votes received by Ms. Li. A) thirty-seven thousand, sixty B) three hundred seventy-six C) three thousand, seventy-six D) three thousand, seven hundred sixty
58
456)
Find the area of the square. 457)
457)
8 miles
A) 60 sq mi Subtract. 458)
B) 67 sq mi
C) 32 sq mi
D) 64 sq mi
458)
922 - 57
A) 765
B) 861
C) 865
D) 979
Solve. 459) Subtract 8 from 92. A) 84
B) 83
C) 94
D) 85
Add.
460) 197 + 591 A) 1,027
B) 788
C) 1,088
D) 927
Write the number in the sentence in words. 461) Paul has the number 24,730,208 showing on his calculator display. A) twenty-four million, seven hundred three thousand, two hundred eight B) twenty-four million, seventy-three thousand, two hundred eight C) twenty-four million, seven hundred thirty thousand, two hundred eighty D) twenty-four million, seven hundred thirty thousand, two hundred eight
462) B) 4 R 2
C) 4 R 1
D) 6
Solve. 463) What is 637 increased by 81? A) 717 B) 718
C) 728
D) 708
Decide whether the given number is a solution of the given equation. 464) Is 22 a solution of 4n = 84? A) yes B) no Subtract. 465) 90,000 - 11,263 A) 99,847
460)
461)
Find the quotient. 10 462) 2 A) 5
459)
B) 78,737
C) 81,263 59
463)
464)
D) 91,263
465)
Estimate the sum or difference by rounding each number to the nearest hundred. 466) 324 272 978 989 + 576 A) 3,140 Simplify. 467) 32 - 9 · 2 A) 46
B) 3,100
C) 3,139
B) 50
Evaluate the expression for the given replacement values. 468) x2 - 4y for x = 8, y = 2 A) 8
B) 72
466)
D) 3,200
C) 224
D) 14
C) 56
D) 24
467)
468)
The table shows the number of votes received by each candidate in an election along with the amount spent by the candidate on advertising. Use the table to answer the question. . Amount Spent on Candidate Number of Votes Advertising ($) Jose Gonzales 57,209 59,104 Angela Wong 67,108 59,024 Sue Miller 67,091 102,376 Tyler Johnson 41,036 66,514 Sandra Ouye 41,009 72,607
469) Write in words the number of votes received by Jose Gonzales. A) fifty-seven thousand, twenty-nine B) fifty-seven thousand, two hundred ninety C) five thousand, seven hundred twenty-nine D) fifty-seven thousand, two hundred nine
469)
Multiply. 470) 0 · 58
1 A) 58
470) B) 1
C) 0
60
D) 58
Find the area of the rectangle. 471)
471)
102 inches
17 inches
A) 119 sq in. Multiply. 472)
B) 1,724 sq in.
C) 1,445 sq in.
D) 1,734 sq in.
472)
27 × 21
A) 567
B) 577
C) 667
D) 557
Estimate the result of the calculation. Use your estimate to determine if the result appears to be correct or incorrect. 473) 671 + 347 + 185 + 786 = 1,889 473) A) Incorrect. Estimate: 2,000 B) Incorrect. Estimate: 1,900 C) Incorrect. Estimate: 2,200 D) Incorrect. Estimate: 2,100 Solve. 474) Find the difference of 41 and 4. A) 47 B) 37
C) 36
D) 38
Write the phrase as a variable expression. Use x to represent "a number." 475) 65 subtracted from a number A) 65 B) 65 - x C) x - 65
D) 65x
Insert parentheses in order to make the statement true. 476) 3 · 7 - 3 = 12 A) (3)(7)(-3) = 12 B) 3 · 7 (-3) = 12
C) 3 · (7 - 3) = 12
D) (3 · 7) - 3 = 12
Divide. 477) 98,506 ÷ 346 A) 284 R 243
B) 284 R 142
C) 284 R 242
D) 289 R 308
B) 128
C) 256
D) 200
474)
475)
476)
477)
Simplify.
478) 2 3 · 5 2 A) 384
Multiply. 479) 1,519 × 48 A) 18,228
B) 60,768
C) 72,912 61
D) 6,066
478)
479)
Find the quotient. 480) 0 ÷ 45 A) 0
B) 45
Evaluate the expression for the given replacement values. 481) x + y for x = 51, y = 32 A) 74 B) 65
C) 1
D) undefined
C) 83
D) 38
Estimate the sum or difference by rounding each number to the nearest ten. 482) 7,947 - 1,223 A) 6,700 Subtract. 483)
B) 6,730
C) 6,720
480)
481)
482)
D) 6,724
483)
14,351 - 7,795
A) 6,454
B) 13,556
C) 6,556
D) 6,554
Solve. 484) A rectangular plot of land measure 80 feet by 120 feet. Find its area. A) 400 sq ft B) 960 sq ft C) 9,600 sq ft
D) 200 sq ft
Write the phrase as a variable expression. Use x to represent "a number." 485) 7 more than 9 times a number A) 9x + 7 B) 16x C) 9(7 + x)
D) 7x + 9
Find the area of the square. 486)
484)
485)
486)
37 meters
A) 74 sq m Subtract. 487) 7,010 - 3,798 A) 4,788
B) 148 sq m
C) 2,738 sq m
D) 1,369 sq m
B) 5,722
C) 4,322
D) 3,212
62
487)
Solve. 488) Eight swimming pools for a major hotel chain have the shape and dimensions shown below. One supplier is providing a tile border for all of the pools. He needs to know the perimeter of all eight pools to get a cost estimate. Find the total perimeter. 25 feet
488)
30 feet 35 feet
40 feet
?
25 feet
30 feet A) 3,330 ft
B) 375 ft
C) 370 ft
D) 2,250 ft
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
489) To find the A) solution
perimeter equation addend subtrahend
dividend divisor exponent product
minuend variable expression digits area
489)
of a rectangle, multiply length times width.
B) perimeter
C) area
D) product
Divide. 490) 591,429 ÷ 800 A) 739 R 229
B) 229
C) 739 R 199
D) 739
Simplify. 491) 28 + 4 · 9 - 19 A) 269
B) 22
C) 0
D) 45
Solve. 492) A company rents a mid-size car at $286 per month for twelve months. What is the cost for the car rental during this time? A) $3,464 B) $298 C) $3,432 D) $3,381 493) Multiply 60 by 72. A) 4220
B) 4320
C) 422
D) 432
B) 55
C) 75
D) 120
490)
491)
492)
493)
Simplify.
494) 8 2 - 3 · 3 A) 183
63
494)
Subtract. 495)
495)
92 - 35
A) 57
B) 127
C) 67
D) 53
Estimate the sum or difference by rounding each number to the nearest hundred. 496) 446 - 166 A) 200
B) 280
Multiply. 497) (680)(20) A) 13,600
C) 600
B) 13,610
496)
D) 300
C) 13,596
D) 13,590
497)
Fill in the blank with one of the words or phrases listed below. difference place value sum solution
factor whole numbers set quotient
perimeter equation addend subtrahend
dividend divisor exponent product
498) Use the facts below. 2 ·3 = 6
4 + 17 = 21
The 6 above is called the
A) product
minuend variable expression digits area
498)
7 5 35
20 - 9 = 11 .
B) factor
C) sum
D) dividend
Solve. 499) Jim and Tammi ran a distance of 21,120 feet. A mile is 5280 ft. How many miles did they run? A) 8 mi B) 4 mi C) 4 mi 2640 ft D) 5 mi 500) The table shows the number of restaurants in five different cities.
500)
Number of City Restaurants Carlsbad 430 Potters Vale 310 Little Heath 307 Edgbaston 288 Barrow 251 How many more restaurants are there in Carlsbad than in Barrow? A) 681 B) 179 C) 142
64
499)
D) 430
Round the whole number to the given place. 501) 3,310 to the nearest thousand A) 4,000 B) 2,900
C) 3,100
Write the phrase as a variable expression. Use x to represent "a number." 502) A number divided by 46 46 A) 46x B) C) x - 46 x
D) 3,000
x D) 46
Provide an appropriate response. 503) Write "three hundred seven thousand, four hundred ninety-six" in standard form. A) 37,496 B) 370,496 C) 307,496 D) 3,007,496
501)
502)
503)
The bar graph shows the number of new residents in several towns during the years 1999 to 2001. Use the graph to answer the question.
504) How many more new residents were there in total in 2001 than in 1999? A) 154 B) 141 C) 172
D) 168
504)
The table shows the number of votes received by each candidate in the last election. Candidate Mr. Olsen Ms. Li Mr. Barone Ms. Vaporis
Votes 2078 3760 2780 3706
505) Who won the election? A) Ms. Vaporis
B) Mr. Barone
C) Ms. Li
D) Mr. Olsen
B) 35
C) 34
D) 290
505)
Evaluate.
506) 172 A) 289
65
506)
Solve. 507) Janet has a total of $3,003 in her checking account. If she writes a check for each of the items below, how507) much money will be left in her account? phone $ 48 rent $750 car $429 A) $1,766 B) $1227 C) $1,775 D) $1,776 Write the whole number in words. 508) 9,300,695 A) nine million, thirty thousand, six hundred ninety-five B) nine million, three hundred thousand, six hundred ninety-five C) nine million, three thousand, six hundred ninety-five D) ninety-three thousand, six hundred ninety-five
66
508)
Answer Key Testname: CHAPTER 1 1) D 2) A 3) D 4) A 5) 14,221 - 7090 7,131 6) D 7) B 8) B 9) D 10) C 11) D 12) C 13) B 14) D 15) D 16) C 17) A 18) C 19) C 20) A 21) D 22) D 23) B 24) B 25) B 26) C 27) B 28) D 29) A 30) C 31) C 32) D 33) C 34) B 35) D 36) B 37) C 38) D 39) C 40) D 41) D 42) D 43) D 44) A 45) A 46) B 47) B 67
Answer Key Testname: CHAPTER 1 48) B 49) A 50) D 51) B 52) A 53) B 54) B 55) A 56) B 57) A 58) C 59) B 60) C 61) A 62) A 63) B 64) D 65) D 66) A 67) A 68) D 69) B 70) D 71) D 72) D 73) C 74) D 75) D 76) C 77) D 78) D 79) C 80) A 81) A 82) B 83) D 84) B 85) B 86) B 87) C 88) B 89) C 90) A 91) B 92) B 93) B 94) D 95) C 96) C 97) D 68
Answer Key Testname: CHAPTER 1 98) B 99) A 100) B 101) C 102) D 103) C 104) D 105) D 106) A 107) B 108) A 109) C 110) A 111) B 112) A 113) C 114) B 115) A 116) D 117) B 118) C 119) C 120) B 121) D 122) A 123) D 124) C 125) A 126) D 127) D 128) D 129) D 130) A 131) D 132) C 133) A 134) B 135) A 136) C 137) A 138) C 139) A 140) B 141) A 142) A 143) D 144) D 145) D 146) B 147) A 69
Answer Key Testname: CHAPTER 1 148) A 149) D 150) C 151) A 152) B 153) A 154) C 155) B 156) B 157) A 158) B 159) D 160) C 161) B 162) C 163) D 164) D 165) A 166) A 167) B 168) A 169) D 170) B 171) A 172) D 173) D 174) A 175) D 176) C 177) A 178) B 179) A 180) B 181) C 182) C 183) D 184) B 185) D 186) D 187) B 188) D 189) D 190) B 191) B 192) D 193) C 194) C 195) C 196) B 197) B 70
Answer Key Testname: CHAPTER 1 198) C 199) B 200) C 201) B 202) A 203) B 204) D 205) C 206) C 207) D 208) D 209) D 210) B 211) A 212) B 213) D 214) A 215) D 216) A 217) A 218) C 219) B 220) B 221) C 222) D 223) D 224) C 225) C 226) A 227) B 228) B 229) A 230) A 231) A 232) C 233) A 234) D 235) A 236) D 237) A 238) C 239) C 240) A 241) B 242) C 243) A 244) D 245) B 246) D 247) D 71
Answer Key Testname: CHAPTER 1 248) D 249) D 250) D 251) A 252) C 253) C 254) A 255) D 256) C 257) D 258) C 259) D 260) C 261) D 262) B 263) C 264) C 265) A 266) D 267) C 268) A 269) D 270) D 271) A 272) C 273) C 274) C 275) B 276) C 277) D 278) A 279) D 280) C 281) C 282) D 283) B 284) A 285) D 286) D 287) B 288) C 289) C 290) D 291) C 292) D 293) A 294) A 295) B 296) C 297) D 72
Answer Key Testname: CHAPTER 1 298) A 299) C 300) B 301) B 302) A 303) B 304) A 305) C 306) A 307) D 308) B 309) B 310) C 311) A 312) D 313) D 314) D 315) B 316) A 317) D 318) C 319) C 320) C 321) D 322) D 323) C 324) A 325) B 326) D 327) C 328) A 329) B 330) B 331) C 332) B 333) A 334) B 335) B 336) D 337) B 338) C 339) C 340) D 341) B 342) D 343) A 344) D 345) B 346) C 347) D 73
Answer Key Testname: CHAPTER 1 348) A 349) C 350) B 351) D 352) D 353) A 354) A 355) A 356) C 357) C 358) A 359) C 360) D 361) A 362) D 363) A 364) D 365) D 366) D 367) A 368) D 369) A 370) A 371) D 372) A 373) B 374) B 375) B 376) B 377) D 378) B 379) D 380) A 381) A 382) B 383) A 384) A 385) A 386) A 387) C 388) B 389) B 390) B 391) D 392) A 393) B 394) D 395) B 396) A 397) A 74
Answer Key Testname: CHAPTER 1 398) C 399) C 400) B 401) D 402) D 403) D 404) D 405) A 406) A 407) D 408) D 409) A 410) B 411) C 412) C 413) D 414) D 415) B 416) D 417) C 418) A 419) A 420) B 421) A 422) A 423) A 424) B 425) A 426) C 427) C 428) C 429) D 430) A 431) C 432) A 433) B 434) C 435) A 436) D 437) A 438) C 439) A 440) C 441) C 442) B 443) D 444) A 445) C 446) B 447) B 75
Answer Key Testname: CHAPTER 1 448) D 449) B 450) D 451) C 452) A 453) C 454) A 455) D 456) D 457) D 458) C 459) A 460) B 461) D 462) A 463) B 464) B 465) B 466) D 467) D 468) C 469) D 470) C 471) D 472) A 473) A 474) B 475) C 476) C 477) C 478) D 479) C 480) A 481) C 482) B 483) C 484) C 485) A 486) D 487) D 488) A 489) C 490) A 491) D 492) C 493) B 494) B 495) A 496) A 497) A 76
Answer Key Testname: CHAPTER 1 498) A 499) B 500) B 501) D 502) D 503) C 504) A 505) C 506) A 507) D 508) B
77
Chapter 2 Exam Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Multiply. 1) -6(-10)(-10) A) 600
B) -500
C) -600
D) -610
Evaluate. 2) -|-x| if x = 9 A) -1
B) -9
C) 9
D) 1
Simplify. 3) |1| A) 1
B) 0
C) -1
D) does not exist
Write the given integers in order from least to greatest. 4) 2 2 , -|2|, -(-6), -|-11| A) -(-6), 2 2 , -|2|, -|-11| C) -|2|, -|-11|, 2 2 , -(-6)
B) -|-11|, -(-6), -|2|, 2 2 D) -|-11|, -|2|, 2 2 , -(-6)
1)
2)
3)
4)
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
5) The A) positive
addition average opposites
solution negative is greater than
is less than absolute value multiplication
integers equation
5)
numbers are numbers less than zero.
B) negative
C) equation
D) addition
B) 14
C) 6
D) -2
B) 37
C) 5
D) 29
Simplify. 8) |-9| - |-7| A) 16
B) -16
C) -2
D) 2
Evaluate. 9) -|x| if x = 6 A) 6
B) -6
C) 1
D) -1
Simplify. 6) 4 - 5 · 2 A) -6
Evaluate the expression for x = -2, y = 3, z = -4. 7) 21 - z 2 A) 168
1
6)
7)
8)
9)
Multiply. 10) -2(2) A) -4 Solve.
B) 6
C) 4
D) -6
11) City A has an elevation of 12,493 feet above sea level while city B has an elevation of 16,305 feet below sea level. Find the difference in elevation between those two cities. A) 3,812 ft B) 3,912 ft C) 28,898 ft D) 28,798 ft
Represent the quantity by an integer. 12) 43-pound loss A) 43
B) -43
B) 125
C) 20
D) 30
Simplify the expression. 14) (-35) ÷ (-5) A) 7
B) 8
C) -7
D) -8
Solve the equation. x = -2 15) -5 C) -8
D) 10
Subtract. 16) -21 - (-21) A) -42
B) -21
C) 21
D) 0
Solve the equation. 17) 2x = 2 A) 2
B) 1
C) -1
D) 0
18) On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 51 feet. They then rose 24 feet. What was their elevation at this point? A) -75 ft B) -27 ft C) 75 ft D) 27 ft
Add the numbers using the number line. 19) -2 + (-6)
A) 4 Solve the equation. 20) -14x = -196 A) 14
13)
14)
15) B) -7
Solve.
11)
12)
Solve the equation. 13) 5x = 25 A) 5
A) 0
10)
16)
17)
18)
19)
B) 8
C) -4
D) -8
B) 182
C) -182
D) -14
2
20)
Simplify. 21) (9 + 4) · (23 - 4) A) 295
B) 32
C) 247
D) 40
Simplify the expression. 22) 12 - |-40| A) 28
B) -52
C) -28
D) 52
Insert < or > to make the statement true. 23) -7 _____ 7 A) -7 < 7 Find the quotient. 24) -68 ÷ 34 1 A) 2
21)
22)
23)
B) -7 > 7
24) B) -12
C) 2
Translate the phrase; then simplify. 25) Find the sum of -49 and 21. A) -28 B) -70
C) 70
D) -2
D) 28
25)
Decide whether the given number is a solution of the given equation. 26) Is -4 a solution of 4 + x = 0 ? A) Yes B) No
26)
Multiply. 27) -16(20) A) 304
27)
B) -320
C) -340
D) -304
Decide whether the given number is a solution of the given equation. 28) Is 9 a solution of 6x = 54 - x? A) Yes B) No
28)
Represent the quantity by an integer. 29) 110 feet above sea level A) -110
29)
B) 110
Simplify. 30) |-15| - |-39| A) -54
B) 54
C) 24
D) -24
Add or subtract as indicated. 31) -8 + 18 - (-3) + 17 A) -12
B) 30
C) -4
D) 24
B) 3,844
C) 196
D) -3,844
30)
31)
Simplify.
32) (2 - 8 2 )2 A) -28
3
32)
Multiply. 33) 6(-6) A) 42
B) 36
C) -42
D) -36
Solve the equation. 34) s - 2 = 16 A) 14
B) 18
C) -14
D) -18
Multiply. 35) -6(-10) A) -60
B) 50
C) -54
D) 60
Add or subtract as indicated. 36) -4 + 2 - 16 A) 14
B) -18
C) 18
D) 10
Find the quotient. 150 37) -6 A) 25
B) -35
C) -25
D) -
36)
38)
B) -32
C) 32
D) 16
Simplify the expression. -28 40) -7
39)
40) B) -4
C) -5
D) 4
Find the quotient. 10 41) -5 A) -3
35)
1 25
B) -4,107
Evaluate the expression for x = -2, y = 3, z = -4. 39) -2z 2
A) -3
34)
37)
Represent the quantity by an integer. 38) $4,107 out of debt A) 4,107
A) 64
33)
41) B) 2
C) -2
Evaluate the expression for the given replacement values. 42) 2x + y for x = 8 and y = -9 A) 25 B) -1
C) 7
4
D) -1
D) 17
42)
Add the numbers using the number line. 43) -1 + 0
43)
A) 0
B) 1
C) -1
D) -10
44) -13 + 3 3 A) -1000
B) -40
C) 40
D) 14
Simplify.
Evaluate the expression for x = -2, y = 3, z = -4. 45) 5 - z 2 A) 13
B) 21
C) 40
D) -11
Add or subtract as indicated. 46) -14 + 17 - 15 - (-10) A) 8
B) -2
C) -22
D) -26
47) 4 + (-18) - 14 A) 0
B) 36
C) 28
D) -28
B) -11
C) 11
D) +11
Subtract. 48) 0 - 11 A) -(-11)
Determine whether the statement is true or false. 49) Zero is always less than a positive number. A) True
B) False
Multiply. 50) -16(6) A) -96
C) -102
B) -80
45)
46)
47)
48)
49)
D) 80
Determine whether the statement is true or false. 51) The sum of a positive number and a negative number is always a positive number. A) True B) False Solve the problem. 52) City A has an elevation of 11,191 feet above sea level while City B has an elevation of 18,414 feet below sea level. Represent the difference in elevation between these two cities by an integer. A) 7,323 ft B) 29,705 ft C) 29,605 ft D) 7,223 ft Determine whether the statement is true or false. 53) |-1 - (-7)| = |-1| - |-7| A) True
44)
50)
51)
52)
53)
B) False
Evaluate.
54) (-6)3 A) -36
B) 6
C) 216 5
D) -216
54)
Insert < or > to make the statement true. 55) 48 _____ -14 A) 48 > -14
55)
B) 48 < -14
Determine whether the statement is true or false. 56) The sum of zero and a negative number is always a positive number. A) True B) False 57) If a > b, then a must be a positive number. A) True Solve the equation. 58) -22 = y - 20 A) -2
56)
57)
B) False
B) 42
C) 2
D) -42
B) -15
C) 15
D) 39
58)
Simplify.
59) -3(7 - 9)2 + 3(12 - 15)2 A) -39
Find the quotient. 19 60) 0 A) 1 Add.
Solve.
60) C) 19
D) undefined
61) 16 + (-1) + 6 + (-3) + 15 + (-15) A) 6 B) -56
C) 8
D) 18
62) -9 + 4 A) 13
C) -5
D) 5
B) 0
B) -13
63) A football team lost 10 yards on each of two consecutive plays. Represent the total loss as product of signed numbers and find the total loss. A) 2 · (-10) = -22 yds; 22 yard loss B) 10 - 2 = 8 yds; 8 yard loss C) 2 + (-10) = -8 yds; 8 yard loss D) 2 · (-10) = -20 yds; 20 yard loss
Simplify. 64) 7 + 7 · 5 - 20 A) 22
59)
B) 2
C) 50
D) -98
Solve the equation. n 65) = -7 5
61)
62)
63)
64)
65)
A) -12
B) 12
C) 35
D) -35
Multiply. 66) -10(-10) A) 100
B) 110
C) -100
D) -110
6
66)
Solve.
67) The difference between a country's exports and imports is called the country's trade balance. In 1,994, a country had $76 billion in exports and $66 billion in imports. What was the country's trade balance in 1,994? A) -10 billion dollars B) 142 billion dollars C) 10 billion dollars D) -142 billion dollars
Evaluate the expression for the given replacement values. 68) x + y for x = -46 and y = -97 A) 51 B) 143
C) -51
Determine whether the statement is true or false. 69) The number -a is always a negative number. A) True
B) False
Evaluate the expression for the given replacement values. 70) x - y for x = 10, y = 18 A) -28 B) -8
C) 8
D) -143
72) -10 - 11 + 1 = x A) -20
Simplify. 73) 7 · 4 - 4 · 5 + (-10) A) 2
D) 28
70)
71)
B) -22
C) 22
D) 20
B) 18
C) 38
D) -2
Evaluate the expression for x = -2, y = 3, z = -4. 6z 74) 2y A) -8
68)
69)
Decide whether the given number is a solution of the given equation. 71) Is 12 a solution of 2(x - 6) = 16? A) Yes B) No Solve.
67)
72)
73)
74)
B) 4
C) -4
D) 8
75) 23 - [10 - (4 - 8)] + (2 - 4)3 A) -17 B) 25
C) 17
D) 1
Simplify the expression.
Translate the phrase to an algebraic expression. Use x to represent "a number." 76) Subtract a number from -19. A) -19 + x B) x + (-19) C) -19 - x Simplify. 77)
D) x - (-19)
[-27 ÷ (-3) - 1] [2 - (-2)]
A) 2
75)
76)
77) B) 1
C) -2
7
D) undefined
Solve.
78) The highest point at an oil drilling operation is the top of the 79-foot-high oil drilling rig. The lowest point the drill head has reached so far is -250 feet. How far above the drill head is the top of the oil drilling rig? A) -329 ft B) 171 ft C) -250 ft D) 329 ft
Simplify. 79) |-8| - |-12| A) 4
B) -4
C) -20
D) 20
Find the quotient. 80) -96 ÷ 4 A) 24
B) -34
C) -24
1 D) 24
Solve the equation. 81) 7y = -2,981 - 7,232 A) -607
B) 607
C) 1,459
D) -1,459
Multiply. 82) -5(-7)(-7) A) 245
B) -235
C) 70
D) -245
78)
79)
80)
81)
82)
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
addition average opposites
solution negative is greater than
is less than absolute value multiplication
integers equation
83) Two numbers that are the same distance from 0 on the number line but are on opposite sides of 0 are called . A) average C) inequality symbols Simplify the expression. 84) |4| · |-9| A) 36 Simplify. 85)
86)
B) integers D) opposites
B) -32
C) 32
D) -36
6-3 -1
A) 2
84)
85) B) 3
C) -3
D) 9
[3 - 3(-1)] [12 - (18)]
A) -1
83)
86) B) -2
C) 1
8
D) -6
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
addition average opposites
solution negative is greater than
87) The sign "<" means
is less than absolute value multiplication
and the sign ">" means
A) is less than; is greater than C) is greater than; is less than Solve.
integers equation
87)
.
B) negative; positive D) positive; negative
88) Tori has $185 in her checking account. She writes a check for $27, makes a deposit for $107, and then writes another check for $190. Find the amount left in her account. (Write the amount as an integer.) A) 75 dollars B) -139 dollars C) 139 dollars D) -75 dollars
88)
Simplify.
89) 5 · 23 A) 25
B) 30
C) 40
Choose all numbers for x from the given list that make the statement true. 90) |x| > 9; 0, 9, -8, -10 A) -10 B) 9, -10 C) 0, -8
D) 1000
D) 0, 9, -8
89)
90)
Decide whether the given number is a solution of the given equation. 91) Is 9 a solution of k - 1 = 8 ? A) Yes B) No
91)
Insert parentheses where needed so that the expression evaluates to the given number. 92) 6 · 18 ÷ 3 - 9; evaluates to 27 A) 6 · 18 ÷ (3 - 9) B) (6 · 18) ÷ (3 - 9) C) 6 · (18 ÷ 3) - 9 D) 6 · (18 ÷ 3 - 9)
92)
Multiply. 93) -5(0) A) -5
93)
Simplify the expression. 94) (2 - 5)2 · (7 - 3)3
B) 0
C) 5
D) -10
A) 576
B) -200
C) 144
D) -576
Simplify. 95) 10 - 6 + 7 A) 11
B) -420
C) -3
D) -32
Solve the equation. 96) x - 76,867 = 86,039 A) 162,906
B) 10,828
C) -162,906
9
D) -10,828
94)
95)
96)
Solve.
97) In 1,995, Little City Productions produced and sold 3,469 thousand of its Little City Collectible Bears. In 2,002, the number of these bears produced and sold had dropped to 452 thousand. Find the change in the number of bears produced from 1,995 to 2,002, and find the average change per year in the number of bears produced over this period. A) change: 3,017 thousand bears B) change: -3,017 thousand bears average change: 431 thousand bears average change: -431 thousand bears C) change: -3,017 thousand bears D) change: 3,017 thousand bears average change: 431 thousand bears average change: -431 thousand bears 98)
n =4 -2
A) 6
98) B) -8
C) 8
D) -6
Translate the phrase to an algebraic expression. Use x to represent "a number." 99) The product of 2 and a number 2 A) 2 · x or 2x B) 2 + x C) 2 ÷ x or x Multiply. 100) 2(-1)(10)(-9) A) -180
B) 180
99) D) -2 · x or -2x
C) 92
Insert <, >, or = between the pair of numbers to make a true statement. 101) 0 _____ -51 A) = B) > Solve the equation. 102) 11 = b + 4 A) 7
97)
D) 1
100)
101)
C) <
B) 15
C) -15
D) -7
B) 28
C) -71
D) 71
102)
Simplify.
103) 10 - (-9)2 A) 91
103)
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
104) The A) solution
addition average opposites
solution negative is greater than
of a list of numbers is
is less than absolute value multiplication
integers equation
sum of numbers . number of numbers
B) equation
C) expression
104) D) average
Find the quotient. -42 105) -7 A) 35
105) B) 6
C) -35 10
D) -6
Evaluate the expression for x = -2, y = 3, z = -4. 16z 106) x A) 14
106)
B) 32
C) -32
D) -66
Translate the phrase; then simplify. 107) Find the sum of -15 and 40. A) -55 B) -25
C) 55
D) 25
Find the quotient. 0 108) 90 A) -90 Simplify. 109) (-20 ÷ 4) - (5 ÷ 5) A) 5
107)
108) B) 1
C) 0
D) undefined
B) -5
C) 4
D) -6
Represent the quantity by an integer. 110) a climb of 128 feet down into a subterranean cave A) -128
109)
110)
B) 128
Determine whether the statement is true or false. 111) The absolute value of a number is always a positive number. A) True B) False
111)
Simplify.
112) -(-3)4 A) 1
B) -12
C) -81
D) 81
Add or subtract as indicated. 113) -3 + 18 - (-11) - 18 + 9 A) 53
B) -23
C) 17
D) 31
Multiply. 114) -4(7) A) 18
B) -24
C) -28
D) 28
Solve. 115) The price of a stock rose 7 points, fell 15 points, and again fell 8 points. What was the stock's total change? A) -16 points B) 30 points C) 0 points D) -30 points Translate the phrase; then simplify. 116) Find the difference of -34 and -2. A) 36 B) 32
C) -32
11
D) -36
112)
113)
114)
115)
116)
Let a and b be positive numbers. Determine whether the statement is true or false. 117) (-a)(-a) is a negative number. A) True B) False
117)
Subtract. 118) -13 - (-1) A) -14
B) 12
C) 14
D) -12
Simplify. 119) 4(-4) - (-6) A) 8
B) -40
C) -10
D) -22
Simplify the expression. 22 - 27 2 120) 2(-5) + 5
Add.
118)
119)
120)
A) -6
B) 6
C) -5
D) 5
121) 18 + (-7) + (-17) A) 8
B) 42
C) 28
D) -6
Simplify the expression. 122) -5 + (-26) - 17 + 6 A) -42
B) -54
C) 10
D) -32
Add or subtract as indicated. 123) 10 - 13 A) 3
B) -3
C) 23
D) -23
121)
122)
123)
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
addition average opposites
solution negative is greater than
is less than absolute value multiplication
124) A statement of the form "expression = expression" is called a(n) A) average
.
B) expression
C) equation
D) absolute value
B) 1
C) -5
D) 5
126) -8z = 40 A) -5
B) -48
C) 48
D) 5
127) -4 + 0 A) 4
B) 0
C) -4
D) -40
Solve the equation. 125) a - 2 = 3 A) -1
Add.
integers equation
12
124)
125)
126)
127)
Translate the phrase to an algebraic expression. Use x to represent "a number." 128) Multiply a number by -13. -13 A) -13 + x B) (-13) ÷ x or x D) x ÷ (-13) or
C) x · (-13) or -13x
128)
x -13
Simplify.
129) [6 + (-3)]2 A) 45
B) 27
C) 81
D) 9
Translate the phrase; then simplify. 130) Find the product of -2 and -15. A) 28 B) -30
C) -28
D) 30
Subtract. 131) -151 - (-46 ) A) 197 Simplify. 132)
B) -197
C) 105
D) -105
9 - (-9)
129)
130)
131)
132)
17 + 2(18 - 9) - 4 2 - 10
A) 9
B) 18
C) 2
D) 0
133) -|-7| A) -7
B) -1
C) 1
D) 7
Represent the quantity by an integer. 134) a deduction of $333.03 in your checkbook A) 333.03
133)
134)
B) -333.03
Simplify.
135) (-4)4 A) 216
B) 0
C) -16
D) -216
A) -18
B) 36
C) 18
D) 0
Evaluate. 137) -(-|-3|) A) 1
B) 3
C) -3
D) -1
Simplify the expression. 136) 9 - (5 - 2)3
Insert <, >, or = between the pair of numbers to make a true statement. 138) 0 _____ |-25| A) > B) <
13
C) =
135)
136)
137)
138)
Evaluate.
139) -5 4 A) 624
B) 20
C) -20
D) -624
Solve. 140) The difference between a country's exports and imports is called the country's trade balance. If one country had a trade balance of -$91 billion in 1,995, $127 billion in 1,983, and -$43 billion in 1,984. What was the total trade balance for these years? A) -261 billion dollars B) -7 billion dollars C) 7 billion dollars D) 261 billion dollars Insert < or > to make the statement true. 141) 5 _____ 0 A) 5 < 0
139)
140)
141)
B) 5 > 0
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
142) The A) equation
addition average opposites
solution negative is greater than
is less than absolute value multiplication
integers equation
142)
numbers are numbers greater than zero.
B) addition
C) negative
D) positive
143) 8 + (-5) A) 13
B) 3
C) -13
D) -3
Solve. 144) x - 19 = -33 A) -14
B) -52
C) 52
D) 14
Evaluate. 145) |-x| if x = 3 A) -1
B) -3
C) 1
D) 3
Evaluate the expression for x = -2, y = 3, z = -4. 146) -9x - 7y - 2z A) 19 B) 5
C) 40
D) -5
Simplify the expression. 147) 7 · (-20) A) 120
C) -120
D) -147
Add.
B) -140
14
143)
144)
145)
146)
147)
The bar graph below shows the yearly net income for Widgets, LTD.
148) What was the net income (in dollars) for Widgets, LTD in 2002? A) $282,000 B) -$282 C) $282 Simplify. 149)
D) -$282,000
-26 - 13 -13
A) -13
148)
149) B) 3
Evaluate the expression for the given replacement values. 150) 2x - y for x = 6, y = -10 A) 2 B) 22
C) -3
D) 1
C) 6
D) 18
C) 89
D) -26
150)
Simplify.
151) (-5)2 - 8 2 A) -39
B) 39
151)
Evaluate.
152) 5(xy + 3)x A) 45
Add.
for x = 3 and y = -2 B) -27
153) -11 + (-12) + (-9) + (-8) + 6 + (-13) A) -59 B) -47
C) -135
D) 135
C) -7
D) -13
Translate the phrase to an algebraic expression. Use x to represent "a number." 154) The difference of a number and thirteen A) x - 13
B) 13x - 13
Evaluate the expression for the given replacement values. 155) 2x + y for x = 4 and y = -16 A) -12 B) 20
15
x 13
C) 13 - x
D)
C) -8
D) 24
152)
153)
154)
155)
Insert <, >, or = between the pair of numbers to make a true statement. 156) -(-6) _____ -(-15) A) = B) >
156)
C) <
Simplify.
157) |7 + 3| · 8 3 A) 5,120
Find the opposite of the integer. 158) 0 A) 1 Subtract. 159) 0 - (-5) A) 0
B) -5,120
C) 522
D) 512,000
B) -1
C) 0
D) does not exist
B) 5
C) 10
D) -5
B) 135
C) -135
D) 99
157)
158)
159)
Simplify.
160) (-9)2 + (-2)2 + 14 A) -99 161) 2[-4 + 2(-6 + 2)] A) 16
Subtract. 162) -11 - 11 A) 0
B) 12
C) -16
D) -24
B) 22
C) -22
D) -11
Let a and b be positive numbers. Determine whether the statement is true or false. 163) a(-b) is a negative number. A) True B) False Simplify. 164) (-16 + 86) ÷ 14 - 15 A) -10
B) 20
165) |179| A) 179
Multiply. 166) -5(3) A) -15
B)
C) -20
160)
161)
162)
163)
D) 10
164)
165)
1 179
B) -18
Write the given integers in order from least to greatest. 167) -(-4), 4 2 , -10, -|-7|, |-11| A) -10, |-11|, -|-7|, -(-4), 4 2
C) -179
D) 0
C) 10
D) -10
B) -10, -|-7|, -(-4), 4 2 , |-11|
C) -10, -|-7|, -(-4), |-11|, 4 2
D) |-11|, -10, -|-7|, -(-4), 4 2
16
166)
167)
Insert <, >, or = between the pair of numbers to make a true statement. 168) |-46| _____ - (-46) A) > B) <
168)
C) =
Simplify.
169) 22 - [5 - (2 - 11)] + (4 - 6)3 A) 0 B) 34
C) -16
Determine whether the statement is true or false. 170) |-12 - 1| = 12 - 1 A) True
B) False
Simplify. 171)
D) 16
170)
5(-2) - 6 + 9 -21 ÷ 3
A)
169)
171)
1 3
B) - 1
C) 1
D) 3
172) |-73|
172)
1 A) 73
B) 73
C) -73
D) 0
Translate the phrase to an algebraic expression. Use x to represent "a number." 173) Subtract a number from -9 A) x - (-9) B) -9 - x C) -9 + x
D) -9x
Add or subtract as indicated. 174) -12 - 14 + (-20) A) -46
D) 22
B) -22
C) -18
173)
174)
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
175) By the
addition average opposites
solution negative is greater than
is less than absolute value multiplication
integers equation
property of equality, the same nonzero number may be multiplied or
175)
divided by both sides of an equation without changing the solution of the equation. A) absolute value B) addition C) multiplication D) positive
Evaluate the expression for the given replacement values. 176) x + y for x = 76 and y = -63 A) -13 B) 139 177) x - y for x = 5, y = -28 A) 33
B) -23
17
C) -139
D) 13
C) 23
D) -33
176)
177)
Solve. 178) In a card game, it is possible to have a negative score. If Kayla's score is 24, what is her new score if she loses 29 points? A) -53 points B) 5 points C) -5 points D) 53 points Simplify the expression. 179) -7 + 6 A) -13
B) 13
C) -1
Insert <, >, or = between the pair of numbers to make a true statement. 180) -|-9| _____ -|-21| A) = B) >
D) 1
C) <
C) -6
D) -4
Find the quotient. 24 184) 8 A) -16 Solve the equation. 185) -5x = -40 A) -8
181)
D) $423
182) The temperature on a February morning is -9°F at 2 a.m. If the temperature drops 4° by 3 a.m., rises 9° by 4 a.m., and then drops 2° by 5 a.m., find the temperature by 5 a.m. A) 24°F B) 6°F C) -6°F D) -24°F Find the average of the list of numbers. 183) -18, -6, -3, -2, 0, -1 A) -3 B) -5
179)
180)
Solve. 181) Joel has started a business mowing lawns for the summer. The bar graph below tracks his net income for five weeks.
Find the difference in Joel's net income between week 1 and week 4. A) $225 B) $215 C) $433
178)
182)
183)
184) B) 3
C) 16
D) -3
B) -35
C) 35
D) 8
18
185)
Solve. 186) Scores in golf can be positive or negative integers. For example, a score of 7 over par can be represented by +7 and a score of 2 under par can be represented by -2. If Donna had scores of 3 over par, 4 under par, and 8 under par for three games of golf, what was her total score? A) 9 under par B) 15 over par C) 9 over par D) 15 under par Simplify. 187) |-5| A) 10 Add.
188) 37 + (-88) A) 125
Add or subtract as indicated. 189) -61 + (-26) A) -35
B) 0
C) 5
D) -5
B) 51
C) -51
D) -125
B) 35
C) -87
D) 87
186)
187)
188)
189)
The bar graph below shows the yearly net income for Widgets, LTD.
190) Find the total net income for years 2000 and 2001. A) $445 B) $67,000 Simplify. 191) 2(-3)(6 - 2) - 6 A) -12
B) 18
C) -$67,000
D) -$445
C) -18
D) -30
190)
191)
Insert parentheses where needed so that the expression evaluates to the given number. 192) 6 · 8 - 3 · 5; evaluates to -42 A) 6 · (8 - 3 · 5) B) 6 · (8 - 3) · 5 C) (6 · 8) - (3 · 5) D) (6 · 8 - 3) · 5 Translate the phrase to an algebraic expression. Use x to represent "a number." 193) A number divided by -10 -10 A) -10 · x or -10x B) x - (-10) C) -10 ÷ x or x
19
D) x ÷ -10 or
x -10
192)
193)
Subtract. 194) 1 - 4 A) -5
B) -3
C) 5
D) 3
Let a and b be positive numbers. Determine whether the statement is true or false. 195) (-a)(-a) is a positive number. A) True B) False Simplify the expression. 196) -(-2)2 ÷ 2 · (-5) A) -10
B) 10
C) -20
Evaluate the expression for x = -2, y = 3, z = -4. 197) -2x + 8y + 5z A) -42 B) 22
C) -13
195)
D) 20
D) 8
Simplify the expression. -4(-5) + 5 198) -1(-2 - 3)
196)
197)
198)
A) 3
B) 5
C) 25
D) -5
Solve. 199) The temperature at 5:00 was -4°C. Four hours later, it was -13°C. What was the change in temperature? A) 17°C B) -9°C C) -17°C D) 9°C Add.
194)
200) -84 + (-11) A) 95
B) -95
C) -73
D) 73
Solve the equation. 201) 7y = -14 A) 2
B) -21
C) 21
D) -2
199)
200)
201)
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
202) A(n)
addition average opposites
is less than absolute value multiplication
integers equation
of an equation is a number that when substituted for a variable makes the
equation a true statement. A) solution
Find the quotient. 203) -12 ÷ (-6) A) -3
solution negative is greater than
B) positive
C) multiplication
D) negative
B) 2
C) -2
D) 3
20
202)
203)
Add.
204) 1 + (-21) + 14 + (-2) A) 38
Simplify. 205) |5| A) 5
B) -36
C) -8
D) -32
B) 10
C) -5
D) 0
204)
205)
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
206) By the
addition average opposites
solution negative is greater than
is less than absolute value multiplication
integers equation
property of equality, the same number may be added to or subtracted from
both sides of an equation without changing the solution of the equation. A) addition B) absolute value C) multiplication
D) positive
Solve the equation. 207) -19t = 0 A) 19
B) -19
C) 0
D) 1
Subtract. 208) -3 - 15 A) 12
B) 18
C) -18
D) -12
Translate the phrase to an algebraic expression. Use x to represent "a number." 209) Find the quotient of -18 and a number -18 A) -18 · x or -18 x B) -18 - x C) -18 ÷ x or x
x D) x ÷ -18 or -18
Find the quotient. -200 210) -8 A) 25
206)
207)
208)
209)
210) 1 25
C) 15
D) -25
B) -43
C) 55
D) 52
B)
Simplify.
211) 3 - (-7)2 A) -46
Determine whether the statement is true or false. 212) A positive number is always greater than a negative number. A) True B) False Simplify. 213) -11 - 3(4 - 7) A) 2
B) 20
C) -20
21
211)
212)
D) -2
213)
Solve. 214) Sean has $552 in his savings account. After he withdraws $80, what will his balance be? A) $472 B) $632 C) -$632 D) -$472
214)
The bar graph below shows the yearly net income for Widgets, LTD.
215) Find the total net income for all years shown. A) $447,000 B) -$40,000
C) $109,000
D) $258,000
215)
Evaluate.
Add.
216) (-3)2 A) -6
B) -9
C) 6
D) 9
217) 18 + 20 + (-11) A) 49
B) 27
C) 9
D) -13
B) -77
C) 78
D) 77
Simplify. 218) - 78 A) -78 Evaluate. 219) (7z)(-5x - 4y) A) 196
for x = -2, y = 3, and z = -4 B) -56
C) 56
D) 616
Add the numbers using the number line. 220) 1 + (-4)
A) 5
217)
218)
219)
220)
B) -3
C) 3
Translate the phrase to an algebraic expression. Use x to represent "a number." 221) Divide a number by -63.
x B) x ÷ (-63) or -63
A) -63 · x or -63x C) -63 ÷ x or
216)
-63 x
D) x - (-63)
22
D) -5
221)
Find the average of the list of numbers. 222) -12, 7, -3, 2, 9, -4, -13 A) -2 B) -3
C) 1
D) -1
Simplify the expression. 223) -8 - (-3) A) 11
B) 5
C) -5
D) -11
Subtract. 224) -190 - 430 A) 240
B) 620
C) -240
D) -620
222)
223)
224)
Simplify. 225)
-12 -2 - 1
A) 4 Subtract. 226) 11 - 11 A) 22
225) B) -4
C) -3
B) 0
D) 3
C) 11
D) -11
226)
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
addition average opposites
solution negative is greater than
227) The symbols "<" and ">" are called
is less than absolute value multiplication
integers equation
227)
.
A) negative C) integers
B) inequality symbols D) opposites
Evaluate.
228) (-1)9 A) -1
B) 9
C) -9
D) 1
Solve the problem. 229) Raya has $254 in her checking account. She writes a check for $18, makes a deposit for $109, and then writes another check for $234. Represent the new balance in her account by an integer. A) -107 dollars B) 111 dollars C) 107 dollars D) -111 dollars Evaluate the expression for the given replacement values. 230) x - y for x = -19, y = -4 A) 15 B) -15
C) 23
D) -23
Solve the equation. x = -14 231) -14 A) -1
228)
229)
230)
231) B) 1
C) 196
23
D) -196
Find the opposite of the integer. 232) 3 A) 0
B) 3
C) -3
D) -1
Solve. 233) The Neighborhood Lemonade Stand, Inc. reported net incomes of -$448, -$297, and -$371 for the past three years. What was its total net income for these three years? A) -$745 B) $1,116 C) -$668 D) -$1,116
232)
233)
Evaluate.
234) -6 3 A) 6
B) 216
C) -216
D) -36
Solve the equation. n = 14 235) -4 A) 18
235) B) -56
C) -18
Represent the quantity by an integer. 236) The team gave up 25 points. A) 25 Solve the equation. 237) 14x = 13x - 18 A) -5
234)
D) 56
236)
B) -25
B) 18
C) -18
D) -17
Solve. 238) A deep-sea diver dives from the surface to 132 feet below the surface. She then dives down 27 more feet. Find the diver's depth. A) 162 feet below the surface B) 159 feet below the surface C) 105 feet below the surface D) 103 feet below the surface
237)
238)
Simplify.
239) -10(7 - 2) - 53 A) -175
B) 5
C) 125
24
D) 75
239)
The bar graph below shows the temperatures recorded as the high temperature in Little City on Brianna's birthday for the indicated years.
240) In which year was the recorded temperature the highest? A) 2002 B) 2001 C) 1998 Multiply. 241) 9(7) A) 53
B) 630
C) 63
D) 2003
D) 54
Simplify the expression. 12 9 2 242) 3 9 A) 31 Add.
243) -22 + (-24) + (-21) + (-19) A) -42
240)
241)
242) B) -5
C) -23
D) 13
B) 6
C) -86
D) 0
Solve. 244) A bike road race starts at an elevation of 680 feet and passes through 5 stages where the elevation changes by 572 feet, -306 feet, -11 feet, 221 feet, and 334 feet. At what elevation does the race end? A) 2,124 ft B) -2,124 ft C) 1,490 ft D) 969 ft Evaluate the expression for the given replacement values. 245) x - y for x = -6, y = -26 A) 20 B) 32
C) -32
D) -20
C) -32
D) 3
243)
244)
245)
Simplify.
246) -2 5 A) 32
B) -10
25
246)
The bar graph below shows the temperatures recorded as the high temperature in Little City on Brianna's birthday for the indicated years.
247) In which year was the temperature closest to 0° C? A) 1998 B) 2002 Subtract. 248) 14 - (-14) A) 28
B) -28
C) 2003
D) 2001
C) 0
D) 14
Find the quotient. -42 249) -6 A) 7
B) -6
B) -45
Translate the phrase; then simplify. 251) Find the quotient of -27 and 9. A) -4 B) -2
C) -7
D) -8
C) -42
D) 30
C) 3
D) -3
Find the quotient. -168 252) 7 A) 24
Evaluate. 254) -(-|-(-8)|) A) -8
250)
251)
252) B) -24
C) -34
D) -
1 24
Simplify. 253) |81|
1 A) 81
248)
249)
Evaluate the expression for x = -2, y = 3, z = -4. 250) 18x - y2 A) -27
247)
253) B) 0
C) -81
D) 81
B) 1
C) 8
D) -1
26
254)
Without actually finding the product, write the list of numbers in order from least to greatest. 255) (-1)54, (-1)65, 0 11, (-7)22, (-7)29 A) (-1)65, (-7)29, 0 11, (-1)54, (-7)22 C) (-7)29, (-7)22, (-1)65, (-1)54, 0 11
Multiply. 256) -30(0)(-7)(10) A) 30
B) 0 11, (-1)54, (-1)65, (-7)22, (-7)29 D) (-7)29, (-1)65, 0 11, (-1)54, (-7)22
B) -30
C) 1
D) 0
Solve. 257) A weather forecaster predicts that the temperature will drop 6 degrees each hour for the next 7 hours. If the temperature is 23 degrees before the temperature starts falling, what is the temperature after the drop? A) -42° B) -19° C) 42° D) 10° Find the quotient. 258) 24 ÷ (-6) A) -4
B) 5
C) -5
Insert < or > to make the statement true. 259) -5 _____ 0 A) -5 > 0
D) 4
256)
257)
258)
259)
B) -5 < 0
Insert <, >, or = between the pair of numbers to make a true statement. 260) |-2| _____ |-14| A) = B) >
255)
260)
C) <
Let a and b be positive numbers. Determine whether the statement is true or false. 261) a(-b) is a positive number. A) True B) False
261)
Find the opposite of the integer. 262) -30 A) -30
262)
Add.
B) 0
C) 30
D) -1
B) 32
C) 11
D) 31
264) (3 - 9)2 ÷ (5 - 3)2 A) -3
B) 9
C) -9
D) 3
265) 3 + (-3) A) 6
B) -3
C) 3
D) 0
263) 21 + 10 A) 30
263)
Simplify.
Add.
27
264)
265)
Solve the equation. 266) d - 8 = -17 A) 25 Simplify the expression. 267) (-5)3 - 16 ÷ (-4) A) 121
B) -9
C) 9
D) -25
B) 129
C) -129
D) -121
Write the given integers in order from least to greatest. 268) |-1|, -|-5|, -(-5), -|1| A) -|-5|, |-1|, -|1|, -(-5) C) -(-5), |-1|, -|1|, -|-5|
B) -|-5|, -|1|, |-1|, -(-5) D) -(-5), -|1|, |-1|, -|-5|
266)
267)
268)
Evaluate.
269) (-15)5 A) 759,375
Simplify. 270) |-16| - |16| A) 16 271)
B) 50,625
C) -759,375
D) -50,625
B) 32
C) 0
D) -32
-15 4+1
A)
269)
270)
271) -15 4-1
B) -3
C) 3
Evaluate the expression for the given replacement values. 272) xy for x = 0, y = -6 A) 6 B) 0
C) -6
Insert < or > to make the statement true. 273) 0 _____ 6 A) 0 > 6
B) 0 < 6
Insert <, >, or = between the pair of numbers to make a true statement. 274) -12 _____ -(-24) A) = B) <
D) 5
D) undefined
273)
274)
C) >
Multiply. 275) -5(-5)(-5) A) 125
B) -115
C) -125
D) -135
Translate the phrase; then simplify. 276) Subtract 36 from -20. A) 56
B) -56
C) -16
D) 16
28
272)
275)
276)
Solve. 277) A deep-sea diver dives from the surface to 128 meters below the surface and then swims up 11 meters, down 19 meters, down another 28 meters, and then up 25 meters. Find the diver's depth after these movements. A) 83 meters below the surface B) 139 meters below the surface C) 45 meters below the surface D) 161 meters below the surface Determine whether the statement is true or false. 278) Zero is always less than a negative number. A) True
277)
278)
B) False
279) The sum of zero and a negative number is always a negative number. A) True B) False
279)
Simplify.
280) (-4)(3)3 - (-6)(-7) A) 42
B) -150
C) -66
D) -108
Graph the numbers on the number line. 281) 1, 3, 5, 7
280)
281)
A)
B)
C)
D)
Evaluate.
282) (-1)8 A) -1
B) 8
C) 1
D) -8
Evaluate the expression for the given replacement values. x for x = 0, y = -38 283) y
282)
283)
A) 38
B) -38
C) 0
D) undefined
Multiply. 284) -4(-3)(7) A) 184
B) -84
C) 74
D) 84
Solve the equation. 285) f + 11 = -10 A) -1
B) 1
C) -21
D) 21
29
284)
285)
Find the opposite of the integer. 286) -7 A) -7
B) 0
C) 7
D) -1
Graph the numbers on the number line. 287) -11, -9, -7, -5
287)
A)
B)
C)
D)
Evaluate the expression for the given replacement values. 288) 2x - y for x = 11, y = -13 A) 4 B) 9
C) 26
D) 35
Simplify the expression. 289) (-3) · (-14) A) 45
C) 56
D) 42
B) -45
Find the opposite of the integer. 290) 21 A) 21
286)
B) -21
C) 0
D) 1
Solve the problem. 291) A weather forecaster predicts that the temperature will drop 6 degrees each hour for the next 4 hours. If the temperature is 15 degrees before the temperature starts falling, what is the temperature after the drop? A) -24° B) -9° C) 24° D) 5°
288)
289)
290)
291)
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
292) The
addition average opposites
solution negative is greater than
is less than absolute value multiplication
292)
are . . ., -3, -2, -1, 0, 1, 2, 3, . . . .
A) opposites C) inequality symbols
B) integers D) expression
30
integers equation
Translate the phrase to an algebraic expression. Use x to represent "a number." 293) a. The product of a number and 12 b. Twice a number subtracted from 6 12 A) a. B) a. 12x C) a. 12x x b. 6 - 2x b. 2x - 6 b. 6 - 2x
293) D) a.
12 x
b. 2x - 6
Decide whether the given number is a solution of the given equation. 294) Is 6 a solution of y + 8 = 14 ? A) Yes B) No
294)
Translate the phrase to an algebraic expression. Use x to represent "a number." 295) Find the sum of 30 and a number. A) x - 30 B) 30 + (-x) C) 30 + x
D) 30 - x
Find the opposite of the integer. 296) 193 A) -193
D) 0
B) -1
C) 193
295)
296)
Let a and b be positive numbers. Determine whether the statement is true or false. 297) (-a)(-b) is a positive number. A) True B) False
297)
Solve. 298) In four rounds of a card game, you get scores of 7, 10, 7, and -3. What is your final score? A) -27 B) 21 C) -21 D) 27
298)
Translate the phrase; then simplify. 299) Find the quotient of -36 and -9. A) -5 B) -4
299)
C) 5
D) 4
Evaluate the expression for the given replacement values. x for x = -53, y = 1 300) y A) -54
300)
B) 54
C) -53
D) 53
Add the numbers using the number line. 301) -6 + 5
A) 11
301)
B) 1
C) -1
31
D) -11
Scores in golf can be 0 (also called par), a positive integer (also called above par) or a negative integer (also called below par). Below are the scores of some members of a college golf team in a recent tournament.
Add.
302) Find the average of the scores of the members shown. A) 0 B) -1 C) 2
D) 1
303) 49 + 33 A) 83
D) 16
Multiply. 304) -3(-8)(3) A) 172
B) 81
C) 82
B) -72
C) 72
D) 62
Simplify the expression. |-42| 305) -|-7| A) 6
B) -7
C) -6
C) -10
D) 10
307) -13 + 20 ÷ (-2) A) 23
B) -3
C) 3
D) -23
Decide whether the given number is a solution of the given equation. 308) Is 15 a solution of 24 - p = 9 ? A) Yes B) No 309) Is -26 a solution of 6c + 5 - 5c = -30 + 9 ? A) Yes
306)
307)
308)
309)
B) No
12(-1) - (-4) (-9) 2 [-8 ÷ (-2 - 2)]
A) -6
304)
D) -5
B) -25
310)
303)
305)
Simplify. 306) 30 ÷ (-2) - 10 A) 25
Simplify.
302)
310) B) -12
C) 12
32
D) undefined
311) -(-2) A) 2
B) -2
C) 0
D) -3
Translate the phrase to an algebraic expression. Use x to represent "a number." 312) Find the difference of -27 and a number. A) -27 - (-x) B) x - (-27) C) -27 - x
D) x + (-27)
Simplify the expression. 313) (-16) + 135 ÷ (-9) A) -31
D) 13
B) -13
C) 31
311)
312)
313)
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
addition average opposites
314) The
solution negative is greater than
is less than absolute value multiplication
integers equation
of a number is that number's distance from 0 on the number line.
A) absolute value
B) positive
C) average
Add the numbers using the number line. 315) -7 + (1)
A) 8
314)
D) negative
315)
B) -8
C) -6
D) 6
Translate the phrase; then simplify. 316) Find the sum of 28 and -18. A) 10 B) 46
C) -10
D) -46
Simplify. 317) -8 + 2 · 3 - 4 A) -7
C) -22
D) -6
C) 1
D) -1
B) 6
Find the average of the list of numbers. 318) -15, 3, -8, 7, -9, 2, -1 A) -2 B) -3
Solve. 319) The temperature at 1 p.m. on January 15 was -11° Fahrenheit. By 9 p.m. the temperature had risen 12 degrees. Find the temperature at 9 p.m. A) -23° B) 23° C) -1° D) 1° Represent the quantity by an integer. 320) finding 28 cents A) 28
B) -28
33
316)
317)
318)
319)
320)
Multiply. 321) -17(-2) A) -51
B) 51
C) 36
D) 34
Find the quotient. -36 322) 6 A) -7
322) B) 6
C) -6
D) -5
Solve. 323) Lauren scored 7 points in her basketball game on Monday, 16 points on Wednesday, 19 points on Friday, and 6 points on Saturday. Find her total points scored for the week. A) 42 points B) 49 points C) 47 points D) 48 points Solve the problem. 324) Joel has started a business mowing lawns for the summer. The bar graph below tracks his net income for five weeks.
Find the difference in Joel's net income between week 5 and week 3. A) $121 B) $111 C) $177
Add or subtract as indicated. 325) 1 - 0 - 18 - (-14) + (-16) A) -19
B) -11
C) -47
Determine whether the statement is true or false. 326) |-15 - 5| = 15 - 5 A) True
D) 21
C) 6
34
324)
325)
326)
B) False
B) -6
323)
D) $167
Solve. 327) Kerry owed $190, borrowed an additional $160, and paid back $65. How much did she still owe? A) $285 B) - $285 C) $415 D) $95 328) -3n = -18 A) 15
321)
D) -15
327)
328)
Find the quotient. 329) 168 ÷ (-28) A) -16
B) 6
C) -6
1 D) 6
Decide whether the given number is a solution of the given equation. 330) Is 0 a solution of h - 8 = -8? A) Yes B) No Simplify. 331) |4 - 15| · (-24) ÷ (-4) A) -66
B) -1,056
C) 1,056
330)
D) 66
Translate the phrase to an algebraic expression. Use x to represent "a number." 332) The product of -10 and a number x A) x ÷ (-10) or B) -10 - x -10 C) -10 · x or -10x
Find the opposite of the integer. 333) -171 A) 0
329)
331)
332)
D) -10 + x
B) -1
C) -171
35
D) 171
333)
Fill in the chart. 334)
334)
Number
Absolute Value of Number
Opposite of Number
49 -70
A)
Number 49 -70
B)
Number 49 -70
C)
Number 49 -70
D)
Number 49 -70
Absolute Value of Number -49 70
Opposite of Number -49 70
Absolute Value of Number 49 -70
Opposite of Number -49 70
Absolute Value of Number 49 70
Opposite of Number -49 70
Absolute Value of Number 49 70
Opposite of Number 49 -70
Simplify.
335) 3 3 -7(-1) A) -20
Simplify the expression. 336) |-29| + (-12) A) 41
B) 34
C) -1
B) -17
C) -41
Represent the quantity by an integer. 337) 49° below zero A) 49
D) 27
D) 17
336)
337)
B) -49
Find the quotient. -87 338) 0 A) 1
335)
338) B) 87
C) 0
D) undefined
339) [6 ÷ (8 - 2) + 9 2 ] - [2 - (-1)]2 A) 79 B) 85
C) 73
D) 77
Simplify.
36
339)
Find the quotient. 340) -35 ÷ 5 A) -8
B) 7
C) -7
D) -6
Solve the equation. 341) 5 = y - 8 A) 3
B) 13
C) -3
D) -13
Without actually finding the product, write the list of numbers in order from least to greatest. 342) (-3)16, (-3)17, (-6)16, (-6)17 A) (-3)16, (-3)17, (-6)16, (-6)17 C) (-6)17, (-3)17, (-3)16, (-6)16
B) (-6)16, (-3)16, (-3)17, (-6)17 D) (-3)16, (-6)16, (-3)17, (-6)17
Let a and b be positive numbers. Determine whether the statement is true or false. 343) (-a)(-a)(-a) is a positive number. A) True B) False
340)
341)
342)
343)
Simplify.
344) -9 2 - 102 A) 38
B) 181
C) -38
D) -181
Determine whether the statement is true or false. 345) The sum of two negative numbers is always a negative number. A) True B) False Translate the phrase; then simplify. 346) Find the sum of 3, -7, 3, and -5. A) 6 B) -6 Add or subtract as indicated. 347) -7 - 15 A) 8
345)
C) 18
B) 22
D) -18
C) -8
Represent the quantity by an integer. 348) $266 loss A) -266
B) 266
Insert < or > to make the statement true. 349) 0 _____ -9 A) 0 > -9
B) 0 < -9
D) -22
37
346)
347)
348)
349)
Translate the phrase to an algebraic expression. Use x to represent "a number." 350) The sum of -9 and a number A) -9x B) -9 - x C) 9 + x Insert <, >, or = between the pair of numbers to make a true statement. 351) -|45| _____ -(-45) A) = B) <
344)
D) -9 + x
C) >
350)
351)
Solve. 352) At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -13°C. At the end of the experiment, it had risen 39°C. What was the liquid's temperature at the end of the experiment? A) -52°C B) 52°C C) -26°C D) 26°C Simplify. 353) -10 + (5 · 3 + 30) ÷ 5 A) -3
B) 11
C) 1
D) -1
Simplify the expression. 354) (-6) + (-1) A) 5
B) -7
C) 7
D) -5
Solve. 355) Ben lost $383 on each of 4 consecutive days in the stock market. If he had $16,486 before his loss, how much does he have after his loss? A) $18,018 B) $1,532 C) $16,103 D) $14,954 Insert < or > to make the statement true. 356) 5 _____ 9 A) 5 < 9 Add.
357) -24 + 8 A) -32
C) 32
D) 16
Evaluate the expression for the given replacement values. 358) xy for x = -2, y = -4 A) -8 B) -6
C) 8
D) 2
Solve the equation. 359) n - 3 = -10 A) 13
B) -7
C) -13
D) 7
Subtract. 360) 14 - (-1) A) -13
B) 13
C) 15
D) -15
Simplify the expression. 361) 11 - 12 A) -1
B) 23
C) -23
D) 1
Find the quotient. 362) -55 ÷ (-5) 1 A) 11
353)
354)
355)
356)
B) 5 > 9
B) -16
352)
357)
358)
359)
360)
361)
362) B) 1
C) -11
38
D) 11
Simplify. 363)
[2 2 + 4(-4)] [3 + (-9)]
A) -2
363) B) 3
C) 2
D) 1
Evaluate the expression for the given replacement values. x for x = -48, y = 0 364) y A) -48
364)
B) 0
C) 48
D) undefined
Solve. 365) Trader Tower stands at 1,999 feet high. Exchange Emporium is 859 feet tall. How much taller is Trader Tower than Exchange Emporium? A) -1,140 ft B) 1,140 ft C) 2,858 ft D) -2,858 ft
365)
Scores in golf can be 0 (also called par), a positive integer (also called above par) or a negative integer (also called below par). Below are the scores of some members of a college golf team in a recent tournament.
366) Find the average of the scores for Alice, Chris, Dan and Emeril. A) 0 B) -3 C) -6 Determine whether the statement is true or false. 367) |-9 - (-11)| = |-9| - |-11| A) True
B) False
Let a and b be positive numbers. Determine whether the statement is true or false. 368) (-a)(-b) is a negative number. A) True B) False
39
D) 6
366)
367)
368)
Solve. 369) The graph shows the melting points in degrees Celsius of three compounds: Compound A, Compound B and Compound C.
369)
The melting point of Compound D is -11 times the melting point of Compound B. Find the melting point of Compound D. A) -803°C B) 813°C C) 793°C D) 803°C
Add.
370) A checking account had a beginning balance of $1,394. A deposit was made in the amount of $ 1,440. Every month for 10 months $30 was withdrawn. How much money was left in the account at the end of the 10 months? A) $1,140 B) $2,804 C) $2,534 D) $300
370)
371) -22 + 13 + (-5) A) -4
371)
B) -14
Evaluate the expression for the given replacement values. 372) x - y for x = -22, y = 10 A) 32 B) 12
C) 40
D) 30
C) -12
D) -32
372)
The bar graph below shows the temperatures recorded as the high temperature in Little City on Brianna's birthday for the indicated years.
373) In which year was the temperature closest to 5° C? A) 2000 B) 2001
C) 2002
40
D) 2003
373)
Simplify. 374) -|21| A) 1
B) -21
C) 21
D) -1
374)
Fill in the blank with one of the words or phrases listed below. inequality symbols expression positive
addition average opposites
solution negative is greater than
is less than absolute value multiplication
integers equation
375) A combination of operations on variables and numbers is called a(n) A) average
B) absolute value
C) expression
.
375)
D) equation
Decide whether the given number is a solution of the given equation. 376) Is 20 a solution of 5c + 2 - 4c = -28+ 10 ? A) Yes B) No
376)
Insert < or > to make the statement true. 377) -73 _____ -56 A) -73 > -56
377)
B) -73 < -56
Let a and b be positive numbers. Determine whether the statement is true or false. 378) (-a)(-a)(-a) is a negative number. A) True B) False
378)
Translate the phrase; then simplify. 379) Find the product of -18 and 13. A) -234 B) 234
C) -216
D) 216
379)
Simplify. 380) -9 + 8 · 9 A) 9
C) 81
D) -63
B) 63
41
380)
Answer Key Testname: CHAPTER 2 1) C 2) B 3) A 4) D 5) B 6) A 7) C 8) D 9) B 10) A 11) D 12) B 13) A 14) A 15) D 16) D 17) B 18) B 19) D 20) A 21) C 22) C 23) A 24) D 25) A 26) A 27) B 28) A 29) B 30) D 31) B 32) B 33) D 34) B 35) D 36) B 37) C 38) A 39) B 40) D 41) C 42) C 43) C 44) D 45) D 46) B 47) D 48) B 49) A 50) A 42
Answer Key Testname: CHAPTER 2 51) B 52) C 53) B 54) D 55) A 56) B 57) B 58) A 59) C 60) D 61) D 62) C 63) D 64) A 65) D 66) A 67) A 68) D 69) B 70) B 71) B 72) A 73) D 74) C 75) D 76) C 77) A 78) D 79) B 80) C 81) D 82) D 83) D 84) A 85) C 86) A 87) A 88) A 89) C 90) A 91) A 92) C 93) B 94) A 95) A 96) A 97) B 98) B 99) A 100) B 43
Answer Key Testname: CHAPTER 2 101) B 102) A 103) C 104) D 105) B 106) B 107) D 108) C 109) D 110) A 111) B 112) C 113) C 114) C 115) A 116) C 117) B 118) D 119) C 120) C 121) D 122) A 123) B 124) C 125) D 126) A 127) C 128) C 129) D 130) D 131) D 132) C 133) A 134) B 135) A 136) A 137) B 138) B 139) D 140) B 141) B 142) D 143) B 144) A 145) D 146) B 147) B 148) D 149) B 150) B 44
Answer Key Testname: CHAPTER 2 151) A 152) C 153) B 154) A 155) C 156) C 157) A 158) C 159) B 160) D 161) D 162) C 163) A 164) A 165) A 166) A 167) C 168) C 169) A 170) B 171) C 172) B 173) B 174) A 175) C 176) D 177) A 178) C 179) C 180) B 181) C 182) C 183) B 184) D 185) D 186) A 187) C 188) C 189) C 190) B 191) D 192) A 193) D 194) B 195) A 196) B 197) D 198) B 199) B 200) B 45
Answer Key Testname: CHAPTER 2 201) D 202) A 203) B 204) C 205) A 206) A 207) C 208) C 209) C 210) A 211) A 212) A 213) D 214) A 215) D 216) D 217) B 218) A 219) C 220) B 221) B 222) A 223) C 224) D 225) A 226) B 227) B 228) A 229) B 230) B 231) C 232) C 233) D 234) C 235) B 236) B 237) C 238) B 239) A 240) C 241) C 242) B 243) C 244) C 245) A 246) C 247) B 248) A 249) A 250) B 46
Answer Key Testname: CHAPTER 2 251) D 252) B 253) D 254) C 255) D 256) D 257) B 258) A 259) B 260) C 261) B 262) C 263) D 264) B 265) D 266) B 267) D 268) B 269) C 270) C 271) B 272) B 273) B 274) B 275) C 276) B 277) B 278) B 279) A 280) B 281) C 282) C 283) C 284) D 285) C 286) C 287) A 288) D 289) D 290) B 291) B 292) B 293) B 294) A 295) C 296) A 297) A 298) B 299) D 300) C 47
Answer Key Testname: CHAPTER 2 301) C 302) D 303) C 304) C 305) C 306) B 307) D 308) A 309) A 310) B 311) A 312) C 313) A 314) A 315) C 316) A 317) D 318) B 319) D 320) A 321) D 322) C 323) D 324) C 325) A 326) B 327) A 328) C 329) C 330) A 331) D 332) C 333) D 334) C 335) B 336) D 337) B 338) D 339) C 340) C 341) B 342) C 343) B 344) D 345) A 346) B 347) D 348) A 349) A 350) D 48
Answer Key Testname: CHAPTER 2 351) B 352) D 353) D 354) B 355) D 356) A 357) B 358) C 359) B 360) C 361) A 362) D 363) C 364) D 365) B 366) A 367) B 368) B 369) D 370) C 371) B 372) D 373) D 374) B 375) C 376) B 377) B 378) A 379) A 380) B
49
Chapter 3 Exam Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify the expression by combining like terms. 1) 9x - 3 + 4x + 8 A) 18x B) 5x + 5 Solve.
C) 13x + 5
D) 18
2) The product of a number and 4 is three times the sum of that number and 9. Find the number. A) 3 B) 9 C) 27 D) 31
Solve the equation. 3) 3x + 16 + 4x = -12 - x - 36 A) -4
B) -8
C) 8
D) 4
4) 7(y + 4) = 9y + 28 A) 56
B) 28
C) 0
D) -28
Write the sentence as an equation. Use x to represent "a number." 5) Seven times a number is equal to 63. 7 A) = 63 B) 7 + x = 63 C) x7 = 63 x Write the phrase as a variable expression. Use x to represent "a number." 6) The sum of 8 and a number A) 8 + x B) -8 + x C) 8x Solve the equation. 7) 6x + 5 = 7(x + 7) A) -44
B) 54
Simplify the expression by combining like terms. 8) 8a - 4a + a - 13 A) 4a + a - 13 B) 5a - 13 Solve.
11) 6r + 18 = 0 A) -3
3)
4)
D) 7x = 63
D) 8 - x
C) -54
D) 44
C) 4a - 12
D) 4a - 13
9 4
B) 3
C) -3
D)
B) 0
C) -18
D) 3
1
2)
5)
9) Six times some number, added to 4, amounts to -17 added to the product of 3 and the number. Find the number. A) 7 B) 21 C) -7 D) -21
Solve the equation. 10) 4x + 3 = x + 12 9 A) 5
1)
6)
7)
8)
9)
10)
11)
12)
n = 5 - (-3) -3
12)
A) 24
B) -6
C) 6
D) -24
In real estate, a house's selling price P is found by adding the real estate agent's commission C to the amount A that the seller of the house receives: P = A + C. 13) Rachel's house sold for $250,000. Her real estate agent received a commission of $10,000. How 13) much did Rachel receive? A) $240,100 B) $239,900 C) $240,000 D) $260,000
Solve the equation. 14) 5y - 21 = 6y - 10 A) -10 15) -96 + (-12) = 8x + x A) 1
B) -11
C) -7
D) -12
B) -12
C) -104
D) 104
Write the sentence as an equation. Use x to represent "a number." 16) Eight subtracted from ten times a number is equal to 72. A) 8 - 10x = 72 B) 10(x - 8) = 72 C) 8(10 - x) = 72
D) 10x - 8 = 72
Solve the equation. 17) 6x - 5x = -16 A) -11
D) 16
B) -16
C) -15
14)
15)
16)
17)
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
18) The number factor of a variable term is called the
18)
.
A) algebraic expression C) constant
B) variable D) numerical coefficient
Solve the equation. 19) 8x + 2 - 7x = 11 - 23 A) 36
B) -36
C) 14
D) -14
Simplify the expression. 20) 7(2x + 4) + 6(x + 3) A) 8x + 7
B) 20x + 46
C) 56x + 46
D) 20x + 7
C) -3y
D) -4y
C) -7a - 2b + 4c
D) -2a - 7b + 4c
Simplify the expression by combining like terms. 21) 6y + y - 9y A) -3y + y B) -2y 22) -4b - 5a + 4c + 2b - 2a A) -3a - 2b + 4c
B) -7a - 2b
2
19)
20)
21)
22)
Solve.
23) The product of 15 and a number gives 75. Find the number. A) 60 B) 1,125 C) 6
23)
D) 5
Simplify the expression by combining like terms. 24) 6b - 4b + 2 A) -2b + 2 B) 2b + 2
C) 10b + 2
D) 4b
Solve the equation. 25) x - 11 = -4 - 24 A) -17
B) 17
C) 39
D) -39
Multiply. 26) 6(3x + 9) A) 72x
B) 9x + 15
C) 9x + 54
D) 18x + 54
Solve.
27) During an intramural basketball game, Team A scored 19 fewer points than Team B. Together, both teams scored a total of 143 points. How many points did Team A score during the game? A) 63 points B) 81 points C) 71 points D) 62 points
Solve the equation. 28) -19 + 3 2 = 70y - -39 - 69y A) -67
29)
B) 11
C) 67
D) -11
x = -1 - (-9) 2
24)
25)
26)
27)
28)
29)
A) 16
B) 8
C) 20
Write the sentence as an equation. 30) Four times the difference of -16 and 4 is -80. -16 = -80 A) 4 4
D) -16
30) B) 4(-16) - 4 = -80
C) 4(-16) + 4 = -80
D) 4(-16 - 4) = -80
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
31) A combination of operations on variables and numbers is called a(n) A) algebraic expression C) evaluating the expression
.
31)
B) equation D) addition
Write the phrase as a variable expression. Use x to represent "a number." 32) The product of -32 and the sum of a number and 30 A) -32 + 30x B) -32x + 30 C) -960x 3
D) -32(x + 30)
32)
Solve the equation. 33) 6x + 12 = 2x - 4 A) -4 34) 5 + 2 =
B) 4
C) 1
x -4
33)
34)
A) -28
B) -48
C) 12
Write the phrase as a variable expression. Use x to represent "a number." 35) The quotient of 34 and the product of a number and -8 34 -8x -8 A) B) C) -272x 34 x Solve.
D) -1
D) -8
34 D) -8x
36) The difference of five times a number and eight times the same number is 9. Find the number. A) -4 B) -3 C) 4 D) 3
Simplify the expression. 37) 4(6x - 6) - 4x A) 20x + 24
B) 28x - 24
C) 28x + 24
D) 20x - 24
Solve the equation. 38) 5 + 27 = x + 5 A) 27
B) 37
C) -37
D) -27
Find the perimeter or area of the figure as indicated. 39) Find the perimeter of the regular hexagon.
35)
36)
37)
38)
39)
Each side: (4x - 9) kilometers
A) (24x - 54) km
B) (28x - 9) km
C) (20x - 45) km
Write the sentence as an equation. 40) The product of -9 and -10 equals 90. -9 = 90 A) B) -9(-10) = 90 -10 Solve.
D) (24x - 9) km
40) C) 9(10) = 90
D) -9 - 10 = 90
41) A high school graduating class is made up of 380 students. There are 82 more girls than boys. How many boys are in the class? A) 231 boys B) 149 boys C) 82 boys D) 380 boys
Write the sentence as an equation. Use x to represent "a number." 42) A number added to -13 equals -22. A) -13 + x = -22 B) x = -13 + 22 C) -13 - 22 = x
4
D) x - 22 = -13
41)
42)
Solve the equation. 43) 6x - 15 - 5x = -8 A) -23
B) -7
C) 23
D) 7
43)
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
44) A term that is a number only is called a(n)
Solve the equation. 45) 41 = 5x - 4 A) 12 46) -8 + 22 = 12x - 5 - 11x A) 25 Solve.
44)
.
A) solution C) numerical coefficient
B) constant D) variable
B) 40
C) 44
B) 9
C) 19
47) Seven times the sum of -210 and a number is 28. Find the number. A) -206 B) 214 C) 34
D) 9
D) -9
D) -26
Write the sentence as an equation. Use x to represent "a number." 48) Six times the difference of 6 and a number is -108. A) 6x - 6 = -108 B) 6(6) - x = -108 C) 6(x - 6) = -108
D) 6(6 - x) = -108
Solve the equation. 49) -3x + 9x = 36 A) 3
B) 6
C) - 3
D) -6
Multiply. 50) -5(7a + 9) A) -12a - 14
B) -35a - 45
C) 2a + 4
D) -80a
Solve the equation. x = 35 - 56 51) -17 A) -51,748
45)
46)
47)
48)
49)
50)
51) B) 261,494
C) -261,494
D) 51,748
Simplify the expression by combining like terms. 52) 5x - 2x A) 7x B) 3 + x
C) 3x
D) -10x
Simplify the expression. 53) -3(x + 7) + 11x A) 8x + 21
C) -14x - 21
D) 8x - 21
B) 14x + 21
5
52)
53)
Solve.
54) The product of a number and -3 equals twice the sum of that number and -25. Find the number. A) -3 B) -10 C) 3 D) 10
Simplify the expression. 55) 6(3x - 2) - 2(x - 1) A) 16x - 3
B) 6x - 10
C) 16x - 10
D) 16x - 14
Multiply. 56) 7(8z) A) 15z
B) 56 + z
C) 56 + 7z
D) 56z
Solve the equation. 57) 21 - 7x = 3 - 4x A) 6
B) 7
C) -7
D) -6
Write the sentence as an equation. Use x to represent "a number." 58) The quotient of 80 and a number equals 10. 80 x = 10 = 10 A) B) C) 80 - x = 10 x 80
Simplify the expression. 62) 3(-5x + 1) + 8(x - 4) A) -7x - 3
64) (-6)2 + 3x = 5x + 2 3 A) 14
57)
D) 80x = 10
B) -65
C) 10
B) 2
C) -90
B) -7x - 29
C) 9x - 29
D) -15
D)
13 x
D) -86
D) -44x
Solve the equation. x 63) - 6 = -14 2 A) -28
56)
59)
Write the phrase as a variable expression. Use x to represent "a number." 60) A number divided by 13 x A) B) x - (13) C) 13x 13 Solve the equation. 61) -10x + 7 = -93 A) 10
55)
58)
Solve the equation. x 59) = -3 - 5 5 A) -40
54)
60)
61)
62)
63) B) -4
C) -40
D) -16
B) -22
C) -14
D) 22
6
64)
Simplify the expression by combining like terms. 65) 7x - 6 + 5x + x - 7 A) 13x - 13 B) 12x - 13
C) 12x + 13
D) 11x - 13
Solve the equation. 66) 17 + 3x - 11 = 10x - 14 - 5x A) -10
B) 4
C) 10
D) -4
B) 4
C) -4
D) 2
67) 3z + z = 7 - 15 A) -2 68) 3r + 6 = 0 A) 0
B) 2
C) -6
D) -2
69) 6n - 8 = 22 A) 24
B) 28
C) 11
D) 5
Multiply. 70) 4(y - 6) A) 4y - 10
B) y - 24
C) 4y - 24
D) 4y - 6
Solve the equation. 71) -6(x + 3) - 5 = 7 - 7x A) 30
B) - 16
C) - 30
D) - 9
Find the perimeter or area of the figure as indicated. 72) Find the area of the figure. 14 miles
65)
66)
67)
68)
69)
70)
71)
72)
(4x - 2) miles
(3x + 4) miles
A) (71x - 8) sq mi Solve the equation. 73) 5(x + 1) - 20 = 0 A) -3
5 miles B) (14x + 32) sq mi
C) (71x - 48) sq mi
D) (36x + 2) sq mi
B) 5
C) 3
D) -5
74) -2(x - 10) - 8 = 14 - 16 A) 15
B) -7
C) -15
D) 7
75) 2 - 4x = -18 A) 5
B) -16
C) 2
D) -12
7
73)
74)
75)
76) 4 = -2x + 6x 1 A) 2 Solve.
B) -1
C) 1
1 D) 2
77) The difference of a number and 7 is equal to the quotient of 4 and 2. Find the number. A) 15 B) 5 C) 9 D) -5
Multiply. 78) 8(x + 8) A) 8x + 8
B) x + 64
C) 8x + 64
D) 8x + 16
Find the perimeter or area of the figure as indicated. 79) Find the perimeter of the trapezoid.
76)
77)
78)
79)
23y meters 11y meters
A) 29y m Solve.
11y meters 29y meters
B) 74y m
C) 253y m
D) 40y m
80) The president of a certain university receives a salary three times the salary of one of the department heads. The total of the two salaries is $280,000. Determine the salaries. A) president's salary = $70,000; department head's salary = $210,000 B) president's salary = $140,000; department head's salary = $70,000 C) president's salary = $210,000; department head's salary = $70,000 D) president's salary = $21,000; department head's salary = $7,000
Solve the equation. 81) 14 = 3x - 7 A) 18
B) 22
C) 11
D) 7
Provide an appropriate response. 82) Multiply: -7(3y + 4) A) -49y
B) -4y - 3
C) -10y - 11
D) -21y - 28
Simplify the expression by combining like terms. 83) 12x - x - 2x + x A) 12x B) -x2 + 10x
C) x2 + 10x
D) 10x
Solve the equation. 84) 2(x - 12) = -15 - 3 A) -3
B) 3
C) -6
D) 6
85) 10n - 4 = 96 A) 90
B) 13
C) 10
D) 94
8
80)
81)
82)
83)
84)
85)
Write the sentence as an equation. 86) The sum of -44 and 33 amounts to -11. A) -44 + 33 = -11 B) 44 + 33 = -11
C) -44 - 33 = -11
D) 44 + 33 = 11
86)
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
87) An algebraic expression is
when all like terms have been
A) constant; simplified C) combined; simplified Simplify the expression by combining like terms. 88) 3b - 8b A) -11b
.
87)
B) simplified; constant D) simplified; combined
C) -5b2
B) 5b
88) D) -5b
Provide an appropriate response. 89) Write an expression that represents the area of the rectangle. Simplify the expression.
89)
5 meters
(7x - 9) meters
A) (35x - 45) sq m Solve the equation. 90) 6(y + 5) = 8y + 30 A) 30
B) (12x - 45) sq m
C) (35x + 45) sq m
D) (12x - 14) sq m
B) -30
C) 60
D) 0
C) 57 + 40 = 97
D) 57 - 40 = 97
Write the sentence as an equation. 91) The difference of -57 and 40 yields -97. A) -57 - 40 = 97 B) -57 - 40 = -97
90)
91)
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
92) By the
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
property of equality, we may multiply or divide both sides of an equation
by any nonzero number without changing the solution of the equation. A) addition B) constant C) distributive
Solve the equation. 93) 6(6x + 9) = 37x A) -9
B) 54
C) -54 9
92)
D) multiplication
D) 9
93)
Translate the phrase into a mathematical expression. If needed, use x to represent "a number." 94) Five times a number, subtracted from -9. A) 5x - 9 B) 5x - (-9) C) -9 - 5x D) 9 - 5x Solve.
95) Two times the difference of some number and 8 gives the quotient of 6 and 3. Find the number. A) -7 B) 10 C) 9 D) 7
Solve the equation. 96) 2(y + 5) = 3(y - 6) A) 28
B) -28
C) 8
D) -8
97) 3 + 3(3n - 1) = 27 11 A) 3
7 B) 3
C) 3
D) 4
98) -56 - 10x = -3x A) -8
B) 392
C) -392
D) 8
95)
96)
97)
Write the phrase as a variable expression. Use x to represent "a number." 99) Negative sixteen decreased by 5 times a number A) -16 + 5x B) 16 - 5x C) 16 + 5x
D) -16 - 5x
Solve the equation. 100) 2(7x - 2) = 12x A) -2
D) 2
101) 4(2x + 5) = 2(3x + 10) A) 2
94)
B) 1
C) -1
B) 20
C) -20
Solve. 102) The difference of a number and 9 is 49 less the number. Find the number. A) -29 B) 20 C) 29
D) 0
D) -20
103) Mary and her brother John collect foreign coins. Mary has four times the number of coins that John has. Together they have 175 foreign coins. Find how many coins Mary has. A) 140 coins B) 35 coins C) 133 coins D) 28 coins Simplify the expression by combining like terms. 104) 2x - 12x - x A) -10x - x B) -11x
C) -10x
Write the phrase as a variable expression. Use x to represent "a number." 105) The product of 2 and a number 2 A) 2 + x B) -2x C) x
10
D) -9x
98)
99)
100)
101)
102)
103)
104)
105) D) 2x
Solve the equation. 106) 6(x - 7) = 0 A) -6
B) -7
C) 6
D) 7
Simplify the expression. 107) 12(6z + 5) - 2 A) 18z + 15
B) 60z + 50
C) 72z + 58
D) 72z + 3
Write the phrase as a variable expression. Use x to represent "a number." 108) Twelve subtracted from a number x A) 12x - 12 B) C) 12 - x 12
106)
107)
108) D) x - 12
Find the perimeter or area of the figure as indicated. 109) Find the area of the rectangle.
109)
(5x + 9) centimeters 20 centimeters
A) (100x + 20) sq cm C) (10x + 58) sq cm
B) (100x + 180) sq cm D) (25x + 29) sq cm
Write the phrase as a variable expression. Use x to represent "a number." 110) The quotient of 2 and a number, added to -25 x 2 A) -25 + B) 2 + x + (-25) C) -25 + 2 x
2 D) x + (-25)
Solve the equation. 111) -4x + 2 = 22 A) 24
D) 28
B) 7
112) 3(4x + 3) - 15 = 10x - 2 A) -2
C) -5
B) 2
C) 8
D) 4
Translate the phrase into a mathematical expression. If needed, use x to represent "a number." 113) The sum of -50 and a number. A) -50 + x B) -50 C) -50 - x D) -50x
110)
111)
112)
113)
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
114) To multiply -3(2x + 1), we use the A) multiplication
114)
property.
B) addition
C) distributive
11
D) constant
Simplify the expression. 115) -(7vx - 8) + 5(6vx + 9) A) 37vx + 17
B) -23vx + 37
C) 23vx + 53
Write the phrase as a variable expression. Use x to represent "a number." 116) the difference of Five and a number 5 A) x - 5 B) 5 - x C) x
D) 37vx + 1
115)
116) D) 5x
Solve. 117) Jackie and her friend Warren ran for an open position on the board of directors of their favorite organization. Jackie received twice the votes that Warren received. There were 135 ballots cast. How many votes did Jackie receive? A) 18 votes B) 81 votes C) 45 votes D) 90 votes
117)
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
118) A(n)
of an equation is a value for the variable that make an equation a true
statement. A) distributive C) constant
B) solution D) numerical coefficient
Write the sentence as an equation. 119) The quotient of 84 and three times 7 yields 4. 84 84 = 4(7) =4 A) B) 3 3(7) Solve the equation. 120) -25 = 3x - 1 A) -27 121) -3(x + 2) - 18 = -8 - 4 A) 2
118)
C) 84 - 3(7) = 4
84 = 3(7) D) 4
B) 7
C) -23
D) -8
B) -2
C) -4
D) 4
Solve. 122) The sum of 2, 5, and a number amounts to 13. Find the number. A) 10 B) 6 C) 20
12
D) 16
119)
120)
121)
122)
Find the perimeter or area of the figure as indicated. 123) Find the perimeter. (3x + 8) meters
123)
x meters 6x meters
(7x - 9) meters
5x meters 5 meters A) (17x + 22) m
B) (22x - 1) m
C) (16x + 4) m
D) (22x + 4) m
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
124) A(n)
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
124)
is of the form expression = expression.
A) addition C) evaluating the expression
B) equation D) algebraic expression
Translate the sentence into an equation. If needed, use x to represent "a number." 125) The sum of twice 6 and -19 is -7. A) 2 · 6 - (-19) = -7 B) 2 · 6 = -19 + -7 C) 2 · 6 + (-7) = -19 D) 2 · 6 + (-19) = -7 Solve the equation. 126) 5x = 6(x + 1) + 9 A) 15 127)
B) -3
C) -15
125)
D) 3
y = (-9)2 - 29 + (-4)2 12
A) 1,512
126)
127) B) -432
C) -816
D) 816
128) 12 = 5y - y A) -2
B) 2
C) -5
D) 5
129) 2(2x - 4) = 8x A) -1
B) 2
C) 1
D) -2
130) x + 5 = -23 + 13 A) -41
B) 41
C) 15
D) -15
C) 10
D) -10
Solve. 131) A number less 15 is -5. Find the number. A) -20 B) 20
13
128)
129)
130)
131)
Write the phrase as a variable expression. Use x to represent "a number." 132) The product of 19 and a number, added to 5 A) 95x B) 95 + x C) 5 + 19x
D) 19 + 5x
Find the perimeter or area of the figure as indicated. 133) Find the area of the rectangle.
132)
133)
8 feet
(x - 12) feet
A) (2x - 8) sq ft
B) (8x - 12) sq ft
C) (x - 4) sq ft
Solve. 134) Eight times a number, added to -2, is -58. Find the number. A) -56 B) 7 C) -448
D) (8x - 96) sq ft
D) -7
135) A number subtracted from 13 is equal to the quotient of 12 and -4. Find the number. A) 10 B) 15 C) 61 D) 16 Solve the equation. 136) -49 = -9 + 10x A) -46 137) 6x + 7 + 29 = 0 A) -6
B) 4
C) -50
D) -4
B) -42
C) 11
D) -38
Write the phrase as a variable expression. Use x to represent "a number." 138) Twice a number, decreased by 36 A) x - 72 B) 2 + x - 36 C) 2x - 36
D) 2(x - 36)
Simplify the expression. 139) 4(x - 2) - 4 A) 4x - 4
D) 4x - 6
B) 4x - 12
C) x - 12
14
134)
135)
136)
137)
138)
139)
Provide an appropriate response. of 140) Write an expression that represents the perimeter of the equilateral triangle (a triangle with three sides 140) equal length). Simplify the expression.
8x + 10 inches
A) (24x + 10) in.
B) (12x + 5) in.
C) (12x + 15) in.
D) (24x + 30) in.
Solve. 141) The product of 5 and a number is the same as 28 less twice that same number. Find the number. A) -4 B) 4 C) 14 D) -14 Solve the equation. x 142) - 42 = 0 7
141)
142)
A) - 6
B) 6
C) 294
D) -294
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
143) A letter used to represent a number is called a(n) A) solution C) numerical coefficient Solve the equation. 144) -2x + 3 = 9 A) 7
B) constant D) variable
B) 8
145) 4x - 13x = 59 - 14 A) -9
143)
.
C) 12
B) -5
C) 5
D) -3
D) 9
Find the perimeter or area of the figure as indicated. 146) Find the perimeter of the regular pentagon.
145)
146)
Each side: (10x - 4) inches
A) (60x - 24) in.
144)
B) (50x - 20) in.
C) (40x - 16) in.
15
D) (50x - 4) in.
Solve the equation. 147) 12 = 3x + 6 A) 6
B) -2
C) 2
Write the sentence as an equation. Use x to represent "a number." 148) Four subtracted from a number amounts to 62. A) x - 4 = 62 B) 62 - 4 = x C) 4 + x = 62
D) - 6
D) 4 - x = 62
147)
148)
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
149) Terms that are exactly the same, except that they may have different numerical coefficients, are called terms. A) constant Solve the equation. 150) 8 - r = 30 A) 39
B) variable
C) like
D) combined
B) -23
C) 22
D) -22
Solve. 151) Center City East Parking Garage has a capacity of 258 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1,220 cars, find the capacity for each garage. A) Center City East:471 cars B) Center City East:481 cars Center City West: 749 cars Center City West: 739 cars C) Center City East:749 cars D) Center City East:739 cars Center City West: 471 cars Center City West: 481 cars Simplify the expression. 152) 6x + 4(x + 9) A) 10x - 36
B) 24x + 13
C) 7x + 36
D) 10x + 36
Solve the equation. 153) -1(r - 2) = 16 A) 14
B) 18
C) -14
D) -18
Simplify the expression. 154) 4(2 - x) + 5 A) 3 + 4x
B) 3 - 4x
C) 13 - x
D) 13 - 4x
C) 19x
D) 19
Provide an appropriate response. 155) Simplify 8x + 5 - 3x + 9 by combining like terms. A) 11x + 14 B) 5x + 14 Write the sentence as an equation. 156) The quotient of -50 and 5 gives -10. -50 = -10 A) B) -50 + 5 = -10 5
149)
150)
151)
152)
153)
154)
155)
156) C) -50 - 5 = -10
16
D) -50(5) = -10
Solve. 157) Six times the difference of 4 and a number amounts to 54. Find the number. A) 5 B) -5 C) 30
D) -30
Solve the equation. 158) 17x = 8(2x + 1) A) -1
B) 8
C) -8
D) 1
Simplify the expression. 159) 7x - 3(6 + x) + 28 A) 10x + 46
B) 4x + 46
C) 4x + 10
D) 8x + 10
Solve the equation. 160) 2 3 (x - 8) = 32 (x - 4) A) -28
B) -100
Provide an appropriate response. 161) Simplify: -6(3z + 1) - z - 16 A) -19z - 22 B) -17z - 22 Solve the equation. 162) -56 = 9x - 2 A) -63
B) -59
C) 28
D) 100
C) -17z + 10
D) -19z + 22
C) -6
Write the phrase as a variable expression. Use x to represent "a number." 163) The quotient of 17 times a number and -9 1 A) B) 17x + 9 C) 17x - 9 -153x
D) 4
17x D) -9
157)
158)
159)
160)
161)
162)
163)
Solve. 164) Five times the sum of a number and 2 is 8 less than the number times 7. Find the number. A) 9 B) 18 C) -9 D) -18
164)
Multiply. 165) -5(4x) A) -54 - 5x
B) 4x - 5
C) -1x
D) -20x
165)
Solve the equation. 166) -4x = 20 - 4 A) -4
B) 24
C) 9
D) 20
167) 4 3 = x + 5 5 A) 3,189
B) -3,189
C) -3,061
D) 3,061
168) 8x - 5 - 7x - 10 = 26 A) 21
B) -21
C) -41
D) 41
169) x + 1 = 3 A) -4
B) -2
C) 4
D) 2
17
166)
167)
168)
169)
Write the sentence as an equation. 170) Fourteen subtracted from -18 amounts to -32. A) 14 - 18 = 32 B) 18 + 14 = 32
C) -18 - 14 = -32
Simplify the expression. 171) 75(264x + 595) - 296 A) 339x - 2,365 C) 19,800x - 41,665
B) 19,800x + 41,665 D) 19,800x - 2,365
D) 14 - 18 = -32
171)
Solve. 172) Jordan sold his used motorcycle and accessories for $400. If he received seven times as much money for the motorcycle as he did for the accessories, find how much money he received for the motorcycle. A) $60 B) $50 C) $350 D) $2,800 Simplify the expression. 173) 3x + 5(x - 3) + 1 A) -2x - 14
B) 8x + 16
C) 8x - 14
D) 8x - 16
Solve. 174) A high school graduating class is made up of 559 students. There are 121 more boys than girls. How many girls are in the class? A) 219 girls B) 340 girls C) 121 girls D) 559 girls Solve the equation. 175) 65 - 129 = 8(x - 3) A) -5
B) 21
C) 5
170)
D) -21
172)
173)
174)
175)
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
176) Replacing a variable in an expression by a number and then finding the value of the expression is called for the variable. A) evaluating the expression C) simplified
B) solution D) equation
Write the phrase as a variable expression. Use x to represent "a number." 177) Twice a number, decreased by 56 A) 2x - 56 B) 2(x - 56) C) 2(x + 56) Solve the equation. 178) x + 10 + 2x = -20 - 2x - 30 A) -8 179) -35 - 10x = -5x A) 7
176)
D) 2x + 56
B) 8
C) -12
D) 12
B) -175
C) -7
D) 175
18
177)
178)
179)
Write the phrase as a variable expression. Use x to represent "a number." 180) Eight times the sum of a number and -24 A) 8x - (-24) B) 8+ x + (-24) C) 8[x + (-24)]
D) 8x + (-24)
Translate the sentence into an equation. If needed, use x to represent "a number." 181) Five added to twice a number equals -25. A) 2x - 25 = 5 B) 2x + 25 = 5 C) 2x + 5 = -25
D) 2(x + 5) = -25
Solve the equation. 182) 3(x - 4) = 9 A) 7
D) -7
B) -1
C) 1
180)
181)
182)
Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
183) The addends on an algebraic expression are called the A) addition
B) terms
of the expression.
C) multiplication
Write the phrase as a variable expression. Use x to represent "a number." 184) A number subtracted from 20 A) 20 - x B) 20x C) x - (20)
183)
D) solution
D) 20 + x
184)
In retailing, the retail price P of an item can be computed using the equation P = C + M, where C is the wholesale cost of the item and M is the amount of markup. 185) A retailer sells a game for $51. If his wholesale cost for the game was $24, what was his markup? 185) A) $28 B) $27 C) $75 D) $26 Fill in the blank with one of the words or phrases listed below. variable addition terms simplified like combined
186) By the
constant algebraic expression equation multiplication evaluating the expressionsolution numerical coefficientdistributive
property of equality, the same number may be added to or subtracted from
both sides of an equation without changing the solution of the equation. A) multiplication B) addition C) distributive
Simplify the expression. 187) -6(9y + 4) - 4 A) -54y - 48
B) -54y
C) 54y + 20
Write the sentence as an equation. Use x to represent "a number." 188) Three times the sum of a number and -57 yields 30. A) x + 3(-57) = 30 B) 3x + (-57) = 30 C) 3 + x + (-57) = 30 D) 3[x + (-57)] = 30
19
186)
D) constant
D) -54y - 28
187)
188)
Find the perimeter or area of the figure as indicated. 189) Find the area of the square.
189)
Each side: 17x centimeters
A) 34x2 sq cm Solve the equation. 190) -5x - 16 = 3x - 24 A) -2
B) 289x2 sq cm
C) 256x2 sq cm
D) 68x2 sq cm
B) 2
C) -1
D) 1
20
190)
Answer Key Testname: CHAPTER 3 1) C 2) C 3) B 4) C 5) D 6) A 7) A 8) B 9) C 10) B 11) A 12) D 13) C 14) B 15) B 16) D 17) B 18) D 19) D 20) B 21) D 22) C 23) D 24) B 25) A 26) D 27) D 28) C 29) A 30) D 31) A 32) D 33) A 34) A 35) D 36) B 37) D 38) A 39) A 40) B 41) B 42) A 43) D 44) B 45) D 46) C 47) B 48) D 49) B 50) B 21
Answer Key Testname: CHAPTER 3 51) B 52) C 53) D 54) D 55) C 56) D 57) A 58) A 59) A 60) A 61) A 62) B 63) D 64) A 65) A 66) C 67) C 68) D 69) D 70) C 71) A 72) A 73) C 74) D 75) A 76) C 77) C 78) C 79) B 80) C 81) D 82) D 83) D 84) B 85) C 86) A 87) D 88) D 89) A 90) D 91) B 92) D 93) B 94) C 95) C 96) A 97) C 98) A 99) D 100) D 22
Answer Key Testname: CHAPTER 3 101) D 102) C 103) A 104) B 105) D 106) D 107) C 108) D 109) B 110) C 111) C 112) B 113) A 114) C 115) C 116) B 117) D 118) B 119) B 120) D 121) C 122) B 123) D 124) B 125) D 126) C 127) D 128) B 129) D 130) D 131) C 132) C 133) D 134) D 135) D 136) D 137) A 138) C 139) B 140) D 141) B 142) D 143) D 144) D 145) B 146) B 147) C 148) A 149) C 150) D 23
Answer Key Testname: CHAPTER 3 151) D 152) D 153) C 154) D 155) B 156) A 157) B 158) B 159) C 160) A 161) A 162) C 163) D 164) A 165) D 166) A 167) C 168) D 169) D 170) C 171) B 172) C 173) C 174) A 175) A 176) A 177) A 178) C 179) C 180) C 181) C 182) A 183) B 184) A 185) B 186) B 187) D 188) D 189) B 190) D
24
Chapter 4 Exam Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Choose the best estimate for the sum or difference. 5 1 1) 11 + 19 6 3 A) 11 2) 19
1)
B) 30
C) 29
D) 31
1 19 -1 7 20
A) 19
2) B) 20
C) 18
D) 17
Determine which diagram is shaded to represent the given fraction. 1 3) 4 A)
B)
C)
D)
3)
Choose the best estimate for the sum or difference. 1 1 +5 4) 7 10 7 A) 13
4)
B) 7
C) 12
1
D) 11
Determine which diagram is shaded to represent the given fraction. 3 5) 5
6) 1
A)
B)
C)
D)
1 6
5)
6)
A)
B)
C)
D)
2
7)
5 3
7) A)
B)
C)
D)
Choose the best estimate for the sum or difference. 1 1 -1 8) 18 20 9 A) 18
8)
B) 20
C) 16
D) 17
Determine whether the statement is true or false. 9) The sum of two negative fractions is always a negative number. A) True B) False Simplify. 10)
9)
5 1 2 1 1 + 6 12 3 12
A)
1 3
10) B) 1
C)
13 16
D)
115 144
Solve. Write the answer as a mixed number in simplest form. 1 1 4 11) Ellen is knitting a scarf with one 4 -inch blue stripe, one 2 -inch green stripe, and one 1 -inch 2 7 7 white stripe. How wide is the scarf? 14 3 in. in. A) B) 8 115 14
C)
3
16 in. 35
D) 2
3 in. 16
11)
Add or subtract as indicated. Write the answer in simplest form. 5y 1 12) 9 63 A)
5y - 1 63
B)
35y - 1 63
C)
12) 35 - y 63
D)
35y - 1 9
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 13) 13) 3 13 16 -6
1 8
A) - 5
15 16
B) 7
5 16
C) 19
1 16
D) 7
1 16
Find the average of the pair of numbers. 5 7 14) , 8 12 A)
1 4
B)
14) 29 48
C)
29 12
D)
29 24
Solve. Write the fraction in simplest form. 15) The circle graph shows the fraction of books read by grades one through five. What fraction of books was NOT read by the third and fourth grades? 13 100
15)
16 100 22 100
24 100 25 100
A)
3 4
B)
19 25
C)
51 100
D)
49 100
Multiply. Write the answer in simplest form. 1 1 16) - · 4 8 A) -
1 64
B) -
16)
1 16
C) -
4
1 32
D) -
1 2
Add or subtract as indicated. Write the answer in simplest form. 1 3 + 17) 21 7 A)
18)
8 21
B)
2 21
17)
C) -
10 21
D)
1 7
19 549 + 65 2,340
A)
18)
142 585
B) -
3 52
C)
3 52
D)
137 260
Multiply. Write the answer in simplest form. 2 1 3 19) · · 5 5 5 A)
6 125
B)
19)
2 125
C)
2 5
D)
6 5
Identify the fraction as proper or improper. 1 20) 17
20)
A) proper
B) improper
Find the perimeter and area of the figure. 21)
21)
7 foot 10 4 foot 9
A) perimeter: 2
13 16 ft; area: sq ft 45 49
B) perimeter: 1
13 18 ft; area: sq ft 90 35
C) perimeter: 2
13 14 in; area: sq ft; 45 45
D) perimeter: 2
13 14 ft; area: sq ft 45 45
Graph the fraction on a number line. 11 22) 4
22)
A)
B)
C)
D)
5
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
23) The fraction
complex fraction equivalent improper fraction proper fraction
0 = 5
A) 0
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
.
23)
B) simplest form
C) equivalent
D) undefined
Solve. Write the fraction in simplest form. 24) The circle graph shows the fraction of books read by grades one through five. What fraction of books was read by the second and third grades combined? 13 100
24)
19 100 20 100
22 100 26 100
A)
81 100
B)
59 100
C)
41 100
D)
39 50
Determine whether the fractions are equivalent. 4 12 25) and 5 14
25)
A) equivalent Solve. 26) x +
B) not equivalent
1 4 = 5 5
A)
3 5
26) B)
2 5
C) 1
D)
3 4
Add or subtract as indicated. Write the answer in simplest form. 2x 7x 1 + 27) 3 2 6 A)
150x - 6 36
B)
25x - 1 6
C)
6
27) 14x - 1 12
D)
9x - 1 36
Solve. 28) q +
1 1 =6 24
A)
28)
5 24
B)
1 12
C) -
1 15
D) -
5 24
Multiply. Write the answer in simplest form. 1 17 29) - · 9 12 A)
1 2
B) -
29)
4 51
C) -
6 7
D) -
17 108
Solve. Write the fraction in simplest form. 1 of 65. 30) Find 13 A) 845
30)
B) 5
C)
1 845
D) 13
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
31) A(n)
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
31)
is a natural number greater than 1 that is not prime.
A) mixed number C) prime number
B) complex fraction D) composite number
Add or subtract as indicated. Write the answer in simplest form. 3 3 32) 4 16 A)
33)
B) 0
C)
9 64
D)
9 16
42r 7 + 6 6
A)
34)
9 4
32)
7r + 7 6
33) B)
35 6
C) 7r + 7
D)
42r + 7 6
1 2 + 15 9
A)
13 45
34) B)
1 9
C)
7
1 5
D)
1 15
The table shows the fraction of the world's surface land area taken up by each continent. Use the table to answer the question. Write your answer in simplest form.
North America
Fraction of World's Surface Land Area 16 100
South America
12 100
Europe
7 100
Africa
20 100
Asia
30 100
Australia
6 100
Antarctica
9 100
Continent
35) How much greater is the fractional part of the continent of Asia than the fractional part of the continent of North America? 3 7 21 4 A) B) C) D) 25 50 50 25 Solve. Write the fraction in simplest form. 36) Given the following diagram, find L, its total length.
x=
37) -
36)
5 11 3 inch, y = inch, z = inch 8 32 4
A)
Simplify.
35)
19 in. 8
B)
19 in. 1024
C)
55 in. 32
D)
1760 in. 1024
7 1 4 + ÷ 9 3 13
A) -
9 13
37) B) -
13 9
C) -
8
16 117
D) -
117 16
Multiply. Write the answer in simplest form. 4 38) · 0 5 A)
Solve. 39) -
5 4
38)
B) 0
C)
4 5
D) undefined
9 1 =y20 15
A)
23 60
39) B)
115 300
C)
2 15
D)
2 5
Add or subtract as indicated. Write the answer in simplest form. 7y 4 + 40) 35 7 A)
7y + 20 7
B)
7y + 4 35
C)
40) 7 + 20y 35
D)
7y + 20 35
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 1 5 41) 40 · 1 41) 2 9
A) 46
C) 40
B) 64
5 18
D) 63
Perform the indicated operation and write the answer in simplest form. 2 2 2 1 ÷ 42) 3 3 6 A)
8 9
B)
2 9
C)
4 9
42)
D)
4 3
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 1 4 43) 1 ÷ 2 43) 5 15
A) 1
1 4
C) 2
B) 1
18 25
D)
9 17
Perform the indicated operation and write the answer in simplest form. 7 1 1 + 44) 18 36 6 A)
7 16
B) -
1 4
C)
9
1 18
44) D)
1 4
Solve. 45)
x x -4= -2 2 4
A)
45)
1 2
B) -
1 2
C) 8
D) - 8
The table shows the fraction of the world's surface land area taken up by each continent. Use the table to answer the question. Write your answer in simplest form.
North America
Fraction of World's Surface Land Area 16 100
South America
12 100
Europe
7 100
Africa
20 100
Asia
30 100
Australia
6 100
Antarctica
9 100
Continent
46) Find the fractional part of the world's land area within the continents of Australia and Antarctica. 3 5 15 3 A) B) C) D) 20 33 100 25 Add or subtract as indicated. Write the answer in simplest form. 15 3 47) 16 16 A)
3 4
B) -
9 8
47)
C) -
3 4
D)
9 8
Evaluate the expression for the given replacement values. Write the answer in simplest form. 4 5 for x = , y = 48) x + y 7 7 A)
12 7
B)
6 7
C)
9 7
D)
B)
25p 4
C)
10
48)
9 14
Add or subtract as indicated. Write the answer in simplest form. 28p 3 49) 4 4 A) 7p - 3
46)
49) 28p - 3 4
D)
25 4
Write the fraction in simplest form. 22 50) 34x A)
Solve. 51) -
22x 34
50) B) -
22 34x
C) -
11x 17
D) -
11 17x
5 1 x= 14 2
A) -
7 10
51) B) -
7 5
C)
7 5
D)
14 5
Solve. Write the answer as a mixed number in simplest form. 2 3 52) A nail 5 inches long is driven into a board 3 inches thick. How much of the nail protrudes from 3 4 the other side of the board? 2 11 in. A) 3 in. B) 1 7 12
C)
2 in. 7
D)
1 in. 6
Write the fraction in simplest form. 12k 53) 16 A) -
12k 16
53) B)
4 3k
C)
3 4
D)
3k 4
Write the improper fraction as a mixed or whole number. 14 54) 3 A)
2 3
B) 5
54)
2 3
C) 4
2 3
D) 3
2 7
Multiply. Write the answer in simplest form. 3 55) 56x2 · 8 A) 21x2
Solve. 56)
55)
B) 18x2
C)
168x2 8
D)
3,139x2 192
3 x 5 - = 2 3 6
A) - 2
52)
56) B)
4 3
C) 2
11
D) -
4 3
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 4 1 57) 2 · 57) 7 6
A)
1 7
B) 4
3 7
C) 2
Write the prime factorization of the number. 58) 385 A) 5 · 7 · 11 B) 7 2 · 5
4 42
D)
3 7
58)
C) 5 2 · 11
D) 35 · 11
Represent the shaded area in the figure group with a mixed number. 59)
A) 1
1 3
B) 5
1 4
C) 1
59)
1 4
D)
5 4
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 5 1 -1 60) 5 60) 18 24
A) 3
17 72
B) 4
19 72
C) 4
17 72
D) 4
1 18
Solve. Write the answer as a mixed number in simplest form. 61) Find the area of the square.
Each side: 9
1 cm 10
31 sq. cm 50
B) A = 18
81 sq. cm 100
D) A = 828
A) A = 165 C) A = 82
61)
1 sq. cm 5 1 sq. cm 10
Add or subtract as indicated. Write the answer in simplest form. 7x 4x + 62) 12 9 A)
11x 36
B)
21x + 16 36
C)
12
62) 37x 36
D)
21 + 16x 36
The table shows the fraction of the world's surface land area taken up by each continent. Use the table to answer the question. Write your answer in simplest form. Fraction of World's Surface Land Area 4 25
Continent North America South America
3 25
Europe
7 100
Africa
1 5
Asia
3 10
Australia
3 50
Antarctica
9 100
63) Find the fractional part of the world's land area within the continents of Australia and Asia. 8 3 9 2 A) B) C) D) 25 10 25 5 Simplify. 64)
2 2 2 1 ÷ 3 3 9
A)
4 5
63)
64)
B)
20 81
C)
3 5
D)
6 5
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 65) 65) 3 15 5 -7
4 5
A) 7
3 5
B) 22
4 5
C) 21
4 5
D) 7
4 5
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 9 66) Divide a number by -9 10 A) x - 9
9 10
B) x ÷ 9
9 10
C) -9
13
9 ÷x 10
66) D) x ÷ -9
9 10
Evaluate the expression for the given replacement values. Write the answer in simplest form. 3 5 for x = ,y= 67) x - y 11 11 A) -
8 11
B)
2 11
C) -
2 11
D)
67)
8 11
Solve. Write the fraction in simplest form. 68) Sally bought a used car for $11,400. Her old car was traded in for $10,200. What fraction of the purchase price was not covered by the trade-in? 17 10,200 2 2 A) B) C) D) 19 11,400 19 17 Perform the indicated operation and write the answer in simplest form. 1 14 69) 5 x A)
70) -
B)
x - 70 5
C)
1 - 70x 5x
69) D)
x - 14 5x
3 3 ·7 8
A)
71)
x - 70 5x
9 56
70) B) -
9 56
C)
6 15
D) -
6 15
1 24 1 · 3 5 4
A)
273 20
71) B)
27 20
C)
91 60
D)
101 60
Insert < or > to form a true sentence. 13 9 72) 18 13
72)
A) >
B) <
Add or subtract as indicated. Write the answer in simplest form. 7 5 73) 8 9 A)
23 8
B)
23 72
C)
73) 1 36
D)
1 4
Perform the indicated operation and write the answer in simplest form. 5 2 74) ÷ 7 4 A)
5 14
68)
B)
7 11
C)
14
9 14
74) D)
10 7
Solve. Write the fraction in simplest form. 25 5 yards of canvas from which he is cutting strips. He has cut yards already. How 75) Bill has 36 36 much of the canvas is left? 7 yd A) 12
B)
5 yd 9
C)
5 yd 4
D)
19 yd 36
Perform the indicated operations. Write the answer in simplest form. 4 2 4 · ÷ 76) 9 8 8 A)
1 18
B)
8 4
C)
9 2
76) D)
2 9
Perform the indicated operation and write the answer in simplest form. 77) 15 3 - 7 7 A) 14
4 7
B) 8
3 7
C) 8
4 7
75)
77)
D) 7
4 7
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 2 7 78) 3 · 1 78) 7 8
A) 6
1 19
B) 6
9 56
C) 1
19 56
D) 43
Write the fraction in simplest form. 10 79) 16 A)
Solve. 80) 2x -
10 16
79) B)
5 8
C)
5 2
D)
2 8
1 2 = 4 5
A) -27
1 8
80) B)
13 2
C)
15
13 40
D)
8 35
Solve. Write the fraction in simplest form. 81) The circle graph shows the fraction of books read by grades one through five. What fraction of books was NOT read by the third and first grades? 3 25
81)
3 20 19 100
6 25 3 10
A)
9 25
B)
16 25
C)
19 25
D)
22 25
Divide and simplify. 3 9 82) - ÷ 8 2 A) -
Solve. 83)
27 16
82) B) -
1 12
C)
1 12
D)
27 16
x x -8= 3 9
A) 24
83) B) 36
C) 27
D) 72
Add or subtract as indicated. Write the answer in simplest form. 8 2 + 84) 13x 13x A)
10 13x
B)
13x 10
84)
C) 1
D)
10 26x
Write a fraction to represent the shaded area of the figure. 85)
A)
2 3
B)
85)
5 2
C)
16
3 2
D)
2 5
Perform the indicated operation and write the answer in simplest form. 86) 3 2 4 4
86)
11 12
+ 5
4 5
A) 13
7 15
B) 592
7 15
C) 11
6 7
D) 13
37 15
Divide and simplify. 9 8 87) ÷ 5 22y A) -
36 55y
87) B) -
99y 20
C) -
31y 13
D)
36 55y
Add or subtract as indicated. Write the answer in simplest form. 12 3 + 88) x x A)
15 x
B)
9 x
88)
C) -
9 x
D) -
15 x
Evaluate the expression for the given replacement values. Write the answer in simplest form. 2 4 89) xy for x = , y = 5 9 A)
8 45
B)
45 8
C)
3 7
D)
10 9
Insert < or > to form a true sentence. 3 4 90) 5 7
90)
A) <
B) >
Represent the shaded area in the figure group with an improper fraction. 91)
A)
3 4
89)
B)
1 7
C)
17
7 8
91)
D)
7 4
Simplify the complex fraction. 1 8 92) 9z 4 A)
1 18z
92)
B)
9 z
C)
1 9z
D)
z 18
Solve. Write the fraction in simplest form. 1 mile of sewer line in the process of updating a section of a road. 93) A construction crew replaced 10 Another crew replaced
11 mile of sewer line while working on the same project. How much 100
longer was the sewer line that the second crew replaced? 1 1 10 mi mi mi A) B) C) 10 100 1000
D)
1 mi 101
94) In a research study 17,787 people were asked which of three cold remedies they were most likely to 6 use, Remedy A, Remedy B, or Remedy C. It was found that of those asked preferred Remedy A. 11 How many of the people asked chose Remedy A? A) 5,292 people B) 1,617 people
C) 9,702 people
5x + 1 11
96) -4x +
1 2 = 5 7
Solve.
A) 143
B)
5x 11
C)
95) 6x 11
D)
55x + 1 11
96) B) -
3 4
C) -
10 133
D) -
3 140
Write the improper fraction as a mixed or whole number. 24 97) 15 A) 1
4 5
B) 1
97)
3 5
C)
8 5
D) 2
3 5
Add or subtract as indicated. Write the answer in simplest form. 5y 1 98) 6 12 A)
5y - 1 12
94)
D) 882 people
Add or subtract as indicated. Write the answer in simplest form. 1 95) 5x + 11 A)
93)
B)
10y - 1 6
C)
18
98) 10y - 1 12
D)
10 - y 12
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 99) 99) 5 11 6 -8
1 12
A) 19
3 4
B) 19
11 12
C) 3
11 12
D) 3
3 4
Solve. Write the fraction in simplest form. 5 of a worldwide corporation's employees live and work in the United States. If 100) Approximately 16
100)
11,280 employees live and work in the United States, how many employees does the corporation have worldwide? A) 2,256 employees B) 36,096 employees C) 705 employees D) 3,525 employees
Solve. 101)
x x 1 = + 4 3 4
101)
A) - 3
B) -
1 4
C) -
1 3
D) 0
Simplify by dividing. 34 102) 1 A)
102)
1 34
B) 33
C) 34
D) -34
Divide and simplify. 3x 7 ÷ 103) 10 16x A)
103)
23x 35
B)
8 11
C)
22x2 35
D)
24x2 35
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
104) A(n)
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
contains a whole number part and a fraction part.
A) mixed number C) proper fraction
B) complex fraction D) improper fraction
19
104)
Simplify the complex fraction. 1 3 105) 1 6 A)
2 9
105)
B)
1 2
C)
1 18
D) 2
Solve. Write the fraction in simplest form. 106) A company employs 288,000 employees worldwide. About 50,400 employees work in the United States. What fraction of the employees do NOT work in the United States? 237,600 33 7 50,400 A) B) C) D) 288,000 40 40 288,000 Add or subtract as indicated. Write the answer in simplest form. 5 1 + 107) 8y 8y A)
2 3y
B)
4y 5
C)
107) 3y 4
D)
3 4y
Multiply. Write the answer in simplest form. 1 5 · 108) 10 6 A)
5 11
B)
108)
5 60
C)
1 12
D)
3 8
Insert < or > to form a true sentence. 2 3 109) 17 14
109)
A) < Simplify. 110)
B) >
1 1 · 2+ -2 2 8
A) 1
106)
110) B)
49 16
C) -
15 16
D) -
17 16
Write the fraction. 111) Of the 143 students at a university, 41 are sophomores. What fraction of the students are sophomores? 102 41 143 41 A) B) C) D) 41 143 41 102
20
111)
Add or subtract as indicated. Write the answer in simplest form. 8 2 3 + + 112) 11 11 11 A)
13 11
B)
3 11
112)
C) -
13 11
D) -
3 11
Divide and simplify. 3 3 ÷ 113) 11 4 A) -
4 11
113) B)
4 11
C)
11 4
D) -
9 44
Evaluate the expression for the given replacement values. Write the answer in simplest form. 1 4 for x = , y = 114) x + y 3 5 A) -
4 15
B) -
7 15
C) -
Graph the fraction on a number line. 2 115) 3
116)
1 5
D) -
114) 3 8
115)
A)
B)
C)
D)
7 3
116)
A)
B)
C)
D)
21
Simplify the complex fraction. m 4 117) 1 42 A)
14 m
117)
B) -
1 14
C)
m 7
D)
m 14
Write a fraction to represent the shaded area of the figure. 118)
A)
1 8
B)
118)
1 7
C)
7 1
D)
7 8
Perform the indicated operations. Write the answer in simplest form. 3 4 3 ÷ 119) · 7 9 7 A)
Solve. 120)
4 3
B)
9 4
C)
4 147
119) D)
4 9
x 4 7 x + = + 2 5 20 4
A) -
6 5
120) B) -
1 5
C) -
9 10
D) -
9 5
Solve. Write the fraction in simplest form. 4 4 of a mile from home and then rested. Then he continued jogging another of a 121) Marty jogged 12 12 mile until he discovered his watch had fallen off. He walked back along the same path for mile until he found his watch. Find how far he was from his starting point. 7 2 1 mi A) mi B) C) mi 6 12 2
22
D)
1 mi 6
6 of a 12
121)
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 122) 122) 1 2 6 2
1 8
+ 2
1 4
A) 7
13 24
B) 6
13 24
C) 6
1 6
D) 6
11 8
Decide whether the given replacement value is a solution of the given equation. 9 9 a solution to 4x = - ? 123) Is 28 7 A) Yes
123)
B) No
Simplify the complex fraction. 124) 5 6+ 2 7-
124)
2 5
A)
85 74
B)
66 85
C)
35 66
D)
85 66
Write the improper fraction as a mixed or whole number. 34 125) 7 A) 4
6 7
B)
125)
7 34
C) 34
7 34
D) 34
34 7
Solve. Write the answer as a mixed number in simplest form. 126) Find the perimeter of the square.
Each side: 9
A) P = 39
2 yd 5
126)
3 yd 5
B) P = 1843
1 yd 5
C) P = 38
23
2 yd 5
D) P = 19
1 yd 5
Find the area of the figure below. (The area of a rectangle is the product of its length and width. The area of a triangle is 1 the product of its base and height.) 2
127)
127)
2
1 centimeters 9
4
A) 9
23 sq. cm 27
Solve. 128) -4x = 3 3 A) 4 129)
2 centimeters 3
B) 19
19 sq. cm 27
C) 4
4 B) 3
25 sq. cm 27
4 C) 3
D) 6
7 sq. cm 9
3 D) 4
x - x = -3 3
A) -
Evaluate. 130) -
3 2
129) B) -
9 2
C)
3 2
D)
9 2
1 4 9
A) C)
130) 2 9
B)
4 9
1.099511628e+12 7.21389579e+15
D) -
1.099511628e+12 7.21389579e+15
Add or subtract as indicated. Write the answer in simplest form. 13 8 131) 14x 14x A) 5
128)
B)
5 28x
C)
131) 14x 5
D)
Determine whether the statement is true or false. 132) The sum of a negative fraction and a positive fraction is always a negative number. A) True B) False
24
5 14x
132)
Write the prime factorization of the number. 133) 85 A) 5 · 17 B) 5 · 5 · 5 134) 126
A) 14 · 3 2
B) 2 · 3 · 7
C) 2 · 5 · 5
D) 5 · 18
C) 2 2 · 3 2 · 7
D) 2 · 32 · 7
Find the LCD of the list of fractions. -1 1 , 135) 3 24 A) 72
133)
134)
135) B) 3
C) 27
D) 24
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 136) 136) 5 6 6 +2
1 6
A) 5
1 3
C) 8
B) 9
5 6
D) 9
1 2
Multiply. Write the answer in simplest form. 5 36 ·137) 12 35 A)
138)
3 7
B) -
137)
3 7
C)
7 3
D) -
15 7
1 13 ·2 23
A) -
23 3
138) B)
1 46
C) -
13 46
D) -
26 23
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 1 139) The sum of a number and 8 A)
x+1 8
B) x +
1 8
C) x -
1 8
139) D)
1 ·x 8
Evaluate the expression for the given replacement values. Write the answer in simplest form. 4 2 for x = ,y= 140) xy 10 16 A)
2 5
B)
3 13
C)
25
1 20
D)
8 160
140)
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 1 2 141) 2 · 6 141) 4 3
A) 12
Evaluate. 142) -
3 12
B) 15
C) 16
D) 17
7 3 1 · 4 7
A) -
49 16
142) B) -
49 64
C)
49 64
D)
343 64
Identify the fraction as proper or improper. 15 143) 15
143)
A) proper
B) improper
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 1 144) -2 decreased by a number 2 A) 2
1 -x 2
B) x - -2
1 2
C) -2
1 ÷x 2
144) D) -2
1 -x 2
Write the fraction in simplest form. 30h 145) 180hp A)
1 6hp
145) B) 6p
C)
1 6p
D)
p 6
Solve. Write the fraction in simplest form. 4 5 of a mile from home and then rested. Then he continued jogging another of a 146) Marty jogged 10 10 mile until he discovered his watch had fallen off. He walked back along the same path for mile until he found his watch. Find how far he was from his starting point. 8 2 1 mi A) mi B) C) mi 5 10 5
D)
1 11
B)
11 1
C)
26
11 6
7 of a 10
3 mi 5
Represent the shaded area in the figure group with an improper fraction. 147)
A)
146)
147)
D)
11 12
Insert < or > to form a true sentence. 2 2 148) 3 15
148)
A) >
B) <
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 1 149) 4 subtracted from a number 6 A) x ÷ 4
1 6
B) -x - 4
1 6
C) x - 4
1 6
149) D) 4
1 -x 6
Add or subtract as indicated. Write the answer in simplest form. 2 8 + 150) 13 13 A)
10 13
B)
10 26
C)
150) 13 10
D) 1
Write the mixed number as an improper fraction. 4 151) 240 7 A)
1684 7
151)
B) 244
C) 960
D)
960 7
Add or subtract as indicated. Write the answer in simplest form. 7 6 + 152) 21 21 A)
13 21
B) -
13 21
C)
152) 1 42
D) -
1 21
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 1 3 153) -42 - 47 153) 5 5
A) - 89
4 5
B) 89
4 5
C) 179
27
3 5
D) - 179
3 5
Graph the fraction on a number line. 5 154) 2
154)
A)
B)
C)
D)
Solve the problem. 155) The bar graph below shows the number of tickets sold each week by the garden club for their annual flower show. Of the total number of tickets sold during this six-week period, what fraction was sold during week three?
A)
30 205
B)
30 175
C)
205 30
D)
11 205
Write the fraction in simplest form. 32f 156) 24fg A)
4f 3g
155)
156) B)
4 3g
C)
28
8 3g
D)
8g 3
Add or subtract as indicated. Write the answer in simplest form. 9 3 + 157) 14 14 A)
Solve. 158)
3 7
3 7
B) -
157)
C) -
6 28
D) -
6 0
x 4 +1= 5 5
A) -
1 5
158) B)
1 5
C) 1
D) -1
Write the improper fraction as a mixed or whole number. 9 159) 2 A) 4
1 2
B) 4
159)
1 7
C) 3
1 2
D) 5
1 2
Add or subtract as indicated. Write the answer in simplest form. y 160) 7 10 A)
161)
70 - 7y 10
B)
7-y 10
C)
160) 10 - 7y 10
D)
70 - y 10
21 45 3 + + 23 23 23
A) 2
161) B)
1 3
C)
66 23
D) 3
Write a fraction to represent the shaded area of the figure. 162)
A)
3 5
B)
162)
5 3
C)
3 8
D)
5 8
Solve. Write the fraction in simplest form. 163) As part of her fitness training, Alice plans to cycle 24 miles today. So far, she has cycled 16 miles. What fraction of the total miles for the day is represented by 16 miles? 16 4 2 3 A) B) C) D) 24 7 3 2 Add or subtract as indicated. Write the answer in simplest form. 70 14 35 164) 24 24 24 A) -
7 8
B)
13 24
C)
29
163)
164) 7 8
D)
21 24
Solve. Write the fraction in simplest form. 165) A storehouse stores 1,540 different inventory items.
3 of these items are perishable. How many of 20
the inventory items are perishable? A) 234 items B) 77 items
Solve. 166)
C) 228 items
D) 231 items
x x -9= 2 8
166)
A) 16
B) 72
C) 24
Write the prime factorization of the number. 167) 790 A) 5 2 · 79 B) 2 2 · 79
D) 18
167) C) 10 · 79
D) 2 · 5 · 79
Solve. Write the answer as a mixed number in simplest form. 168) A sidewalk is built seven bricks wide by laying each brick side by side. How many inches wide is 7 the sidewalk if each brick measures 3 inches wide? 8
3
A) 26
7 in. 8
7 1
B) 27
1 in. 8
C) 26
1 in. 8
D) 27
B)
1 7
C)
7 4
9 7
B)
7 in. 8
169)
D)
7 8
Write a fraction to represent the shaded area of the figure. 170)
A)
168)
7 in. 8
Represent the shaded area in the figure group with an improper fraction. 169)
A)
165)
170)
7 16
C)
30
9 16
D)
7 9
Write the fraction. 171) Of the 88 lawyers at a law firm, 55 are women. What fraction of the lawyers are men? 33 55 88 33 A) B) C) D) 55 33 33 88 Solve. Write the fraction in simplest form. 172) The following graph is called a circle graph or pie chart. Each sector (shaped like a piece of pie) shows the number of each color of marbles that Jo has: 140 are red, 100 are blue, 56 are yellow, 72 are green, and 24 are clear. What fraction of the marbles are red? Write the fraction in simplest form.
171)
172)
140 red
100 blue 24 clear
72 green
A)
56 yellow
7 20
B)
1 5
C)
5 9
D)
140 400
Evaluate the expression for the given replacement values. Write the answer in simplest form. 2+x 7 7 for x = , y = 173) y 8 3 A) -
21 8
B) -
69 56
C) -
161 24
D) -
173) 27 56
Add or subtract as indicated. Write the answer in simplest form. 10 14 + 174) 58 58 A)
11 29
B)
12 29
C)
174) 13 30
D)
Identify the numerator and the denominator of the fraction. 6 175) 6 A) numerator: denominator: C) numerator: denominator:
11 28
175) B) numerator: denominator: D) numerator: denominator:
1 1 6 1
31
1 6 6 6
Represent the shaded area in the figure group with a mixed number. 176)
A) 6
5 6
B) 6
1 6
C) 1
176)
5 6
D) 1
1 6
Add or subtract as indicated. Write the answer in simplest form. 1 2 177) - 3 15 A) -
1 5
B) -
7 15
C) -
177) 22 45
Solve. Write the fraction in simplest form. 178) A restaurant has a capacity of 99 patrons. If the restaurant is restaurant? A) 77 patrons
B) 84 patrons
D) -
1 6
7 full, how many patrons are at the 9
C) 11 patrons
D) 70 patrons
Solve. Write the answer as a mixed number in simplest form. 1 179) Harry cuts a board 13 feet long from one 16 feet long. How long is the remaining piece? 2 A) 3
1 ft 2
B) 3 ft
C) 2 ft
D) 2
B)
4 5
C) -
4 5
181)
B) No
Simplify by dividing. 25 182) -25 A) 25
180)
D) - 1
Decide whether the given replacement value is a solution of the given equation. 4 1 4 ? 181) Is a solution to - x = 9 5 45 A) Yes
179)
1 ft 2
Evaluate the expression for the given replacement values. Write the answer in simplest form. 1 9 for x = ,y=180) x + y 10 10 A) 1
178)
182) B) -1
C) 0
32
D) 1
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 7 183) The product of a number and -1 10 A) x · -1
7 10
B) x · 1
7 10
C) x - 1
7 10
183) D) x ÷ -1
7 10
Solve. Write the fraction in simplest form. 5 184) Erika spent hr on her computer visiting the history channel and the discovery channel websites. 6 She spent
1 hr at the history channel website. How many hours did she spend at the discovery 3
channel website? 2 A) hr 9
Solve. 185)
B)
1 hr 2
C)
4 hr 9
D)
7 hr 9
32 8 x=21 35
A) -
16 15
185) 12 5
B) -
C) -
15 16
D) -
3 20
Find the perimeter of the figure. 186) 2 centimeter 7 1 centimeter 6
A)
184)
19 cm 42
186)
Parallelogram
B)
3 cm 13
C)
19 cm 21
D)
1 cm 21
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 11 7 +3 187) 6 187) 30 25
A) 9
Solve. 188) -
53 150
B) 9
97 150
C) 9
31 75
D) 9
5 5 x= 4 20
A) -
1 5
3 25
188) B) -
5 16
C) - 1
33
D)
1 5
Write the mixed number as an improper fraction. 10 189) 22 21 A)
220 21
B)
189)
672 10
C)
472 10
Solve. Write the fraction in simplest form. 190) Mr. and Mrs. Williams have a car loan of $26,400. They have paid off the loan have they paid off? A) $10000 B) $12000
C) $1100
D)
472 21
10 of the loan. How much of 24
190)
D) $11000
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 191) 191) 1 6 2 6
5 6
+ 6
4 5
A) 20
192) 1
32 15
B) 20
2 15
C) 128
2 15
D) 18
10 13
4 1 ÷ 5 2
A) 3
192) 3 5
B) 3
1 2
C)
9 10
D) 3
3 10
Represent the shaded area in the figure group with an improper fraction. 193)
A)
5 6
B)
5 1
C)
5 3
193)
D)
1 5
Divide and simplify. 4x 5x ÷ 194) 7 12 A)
5x 84
194) B)
9 19
C)
34
48x 35
D)
48 35
Solve. 195) m -
3 1 = 5 4
A) -
17 20
195) B) -
7 20
C)
3 20
D)
17 20
Graph the fraction on a number line. 1 196) 4
196)
A)
B)
C)
D)
Write the fraction. 197) According to a recent study, 12 out of 22 visits to a hospital emergency room were for an injury. What fraction of emergency room visits are NOT injury-related? 10 22 12 10 A) B) C) D) 12 10 10 22 Simplify the complex fraction. 198) 4x 19
197)
198)
8x2 9
A)
38 9x
B)
32x 171
C)
9x 38
D)
9 38x
Write the improper fraction as a mixed or whole number. 289 199) 17 A) 17
B) 16
199)
3 16
C) 17
35
1 17
D) 17
1 289
Write a fraction to represent the shaded area of the figure. 200)
A)
1 3
B)
200)
3 4
C)
3 1
D)
1 4
Evaluate the expression for the given replacement values. Write the answer in simplest form. 5 1 for x = ,y=201) 3x + y 24 24 A)
7 12
B)
7 48
C)
1 2
D)
201)
7 24
Write the fraction in simplest form. 231 202) 495 A)
15 7
202) B)
7 15
C)
231 495
D)
495 231
Perform the indicated operations. Write the answer in simplest form. 5 3 7 ÷ · 203) 3 5 25 A)
63 625
B) 63
C)
Solve. Write the fraction in simplest form. 204) The total length of a motor cycle race is
7 25
203) D)
7 9
4 3 of a mile. Kira has completed of a mile. How much 14 14
does she have left to complete? 1 3 mi A) mi B) 2 14
C)
2 mi 7
D)
1 mi 14
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 2 205) A number increased by 9 A) x + -
2 9
B) x -
2 9
C)
x-2 9
205) D) -
2 ·x 9
Solve. Write the fraction in simplest form. 206) There are 100 centimeters in 1 meter. What fraction of a meter is 34 centimeters? 17 34 1 17 A) B) C) D) 33 100 25 50
36
204)
206)
Write the fraction in simplest form. 60x 207) 68 A) -
60x 68
207) B) -
15 17
C) -
15x 17
D) -
4x 17
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 7 by a number 208) Multiply 8 15 A) 8
7x 15
B) 8
7 ·x 15
C) 8x ·
7 15
208) D) 8
7 +x 15
Add or subtract as indicated. Write the answer in simplest form. 1 11 209) + 8 x A)
x + 88 8
B)
1 + 88x 8x
C)
209) x + 88 8x
D)
x + 11 8x
Solve. Write the fraction in simplest form. 210) The circle graph shows the fraction of books read by grades one through five. What fraction of books was read by the second and fourth grades combined? 1 10
210)
17 100 1 5
6 25 29 100
A)
83 100
B)
23 50
C)
71 100
D)
27 50
Perform the indicated operation and write the answer in simplest form. xy2 z · 211) z xy A)
xy2 xy
B) y2
C) y
211) D) y3
Write the mixed number as an improper fraction. 3 212) 7 7 A)
52 7
B)
212)
52 3
C)
37
49 7
D)
49 3
Add or subtract as indicated. Write the answer in simplest form. 5 14 213) 20x 20x A) -
20x 9
B) -
9 40x
213)
C) -9
D) -
9 20x
Write the fraction in simplest form. 35 214) 56 A)
215)
35 56
214) B)
7 8
C)
5 7
D)
5 8
208y 240y
A)
215) 13 15
B)
13y 15
C)
13 16
D)
16 15y
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
216) A(n)
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
is a fraction whose numerator is greater than or equal to its denominator.
A) mixed number C) proper fraction Write the fraction in simplest form. 120s4 t3 m 4 217) 30st3 m 3 A)
218)
s3 m 4
217) B)
4s3 m
C) 4s3 m
D) 4s3 t2 m
6k3 3k
218)
A) 2k2
C) 3k2
B) 2k
D) 3
Multiply. Write the answer in simplest form. 5 84 · 219) 12 20 A)
216)
B) complex fraction D) improper fraction
35 4
B)
219)
25 252
C)
38
4 7
D)
7 4
Divide and simplify. 21x2 35x ÷ 220) 40y 64y A)
147x 512
220) B)
24x 25y
C)
147x3 512y2
D)
24x 25
Solve. Write the fraction in simplest form. 221) Of the 408 students at Jorge's school, 374 are native english speakers. What fraction of the students at Jorge's school are native English speakers? 374 7 11 12 A) B) C) D) 408 9 12 11 Simplify. 222)
1 1 1 ÷ · 3 9 2
A)
2 27
222) B)
3 2
C)
1 54
D) 6
Perform the indicated operations. Write the answer in simplest form. 8 8 7 223) - ÷ - · 9 5 9 A)
7 5
B)
448 405
C) -
5 7
223) D)
5 7
Evaluate the expression for the given replacement values. Write the answer in simplest form. 3 4 for x = ,y= 224) x ÷ y 11 9 A)
7 20
Solve. 225) -2z = A)
B) -
27 44
C) -
4 99
D)
27 44
225) B)
11 3
C) -
3 11
D) -
Add or subtract as indicated. Write the answer in simplest form. x x 2x + 226) + 4 12 24 A)
224)
6 11
3 11
480x 1152
221)
B)
3x 8
C)
39
11 3
226) 5x 12
D)
x 6
Simplify the complex fraction. 9 5 227) 21 5 A)
9 21
227)
B)
21 9
C)
3 7
D)
7 3
Add or subtract as indicated. Write the answer in simplest form. 1 2 228) + 3 9 A)
16 27
B)
1 4
C)
228) 1 3
D)
5 9
Write the fraction as an equivalent fraction with the given denominator. 229) 1 =
229)
32
A)
32 32
B)
33 32
C)
1 32
D)
32 1
Evaluate the expression for the given replacement values. Write the answer in simplest form. 1 5 1 230) x2 (y - z) for x = , y = , z = 3 8 4 A)
1 24
B)
1 56
C) -
13 72
D)
230)
3 28
Solve. Write the fraction in simplest form. 231) A real estate agent categorized 100 available homes by housing style.
231)
Distribution of Houses by Style Housing Style Number of Homes Two Story 38 One and One-Half Story 12 Raised Ranch 6 Split Level 25 Ranch 19 What fraction of available homes are two story homes? 19 19 38 A) B) C) 50 31 100
Write the prime factorization of the number. 232) 828 A) 2 3 · 3 2 · 23 B) 2 4 · 23
C) 2 2 · 3 2 · 23
40
D)
38 62
D) 3 4 · 23
232)
Solve. Write the fraction in simplest form. 233) Find the area of the rectangle. Write the answer in simplest form. Recall that the area = length · width.
A=
10 foot 13
B=
1 foot 5
A)
5 sq ft 9
B)
10 sq ft 65
C)
2 sq ft 13
D)
11 sq ft 18
Determine whether the statement is true or false. 234) A fraction whose numerator and denominator are two different prime numbers cannot be simplified. A) True B) False Add or subtract as indicated. Write the answer in simplest form. 1 1 m + + 235) 10 20 40 A)
m 10
B)
6+m 40
C)
5 3
B)
3+m 20
D)
2+m 20
236)
3 5
C)
3 8
D)
5 8
Find the perimeter of the figure. 237)
2 centimeter 23
237)
6 centimeter 23
Triangle 10 centimeter 23
A)
21 cm 23
234)
235)
Write a fraction to represent the shaded area of the figure. 236)
A)
233)
B)
15 cm 23
C)
41
19 cm 23
D)
18 cm 23
Solve. Write the answer as a mixed number in simplest form. 1 238) A patient in rehabilitation walked on a treadmill 3 miles over 4 days. How many miles is this 7 per day? 4 A) 12 mi 7
B) 3
1 mi 28
C)
25 mi 28
Solve. Write the fraction in simplest form. 239) There are 5280 feet in a mile. What fraction of a mile is represented by 30 feet? 1 1 30 A) B) C) 176 175 5280
D)
11 mi 14
1 D) 352
Perform the indicated operation and write the answer in simplest form. 15 3 240) 16y 16y A)
9 8y
B) -
3 4y
C) -
9 8y
23 11
B) -
11 46
D)
3 4y
241)
C) -11
D) -
11 23
Write the fraction. 242) Of the 218 students at a university, 37 are juniors. What fraction of the students are NOT juniors? 181 37 218 181 A) B) C) D) 218 218 181 37 Solve. Write the fraction in simplest form. 243) There are 5,000 runners at a marathon. If 400 are females, what fraction of the runners are females? 2 400 23 23 A) B) C) D) 25 females 2 25 Solve. Write the answer as a mixed number in simplest form. 244) Laura's chocolate store is famous for its "Chocnut", a unique mix of chocolate and nuts. A Supreme 3 2 1 box of Chocnut has 3 pounds of chocolate and 4 pounds of nuts. A Deluxe box has 5 pounds 10 5 3 of chocolate and 1
1 pounds of nuts. John bought 5 Supreme boxes and 3 Deluxe boxes of Chocnut. 9
What is the total weight of his purchase? 5 5 A) 37 lb B) 57 lb 6 6
C) 22
42
239)
240)
Add or subtract as indicated. Write the answer in simplest form. 6 17 241) 23 23 A) -
238)
5 lb 6
D) 66
5 lb 6
242)
243)
244)
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 4 245) The sum of -3 and a number 7 A) -3
4 ·x 7
B) x - 3
4 7
C) -3
4 +x 7
245) D) 3
4 -x 7
Divide and simplify. 1 5 246) ÷ 4 8 A)
246)
5 32
B)
2 5
C)
5 2
D)
32 5
Perform the indicated operation and write the answer in simplest form. 2 1 247) 3 · 1 7 2 A) 4
3 5
B) 34
1 2
C) 4
13 14
247) D) 1
1 14
Solve. Write the fraction in simplest form. 1 7 mi to the store and then another mi to his friend's house. How far did he walk? 248) Alan walked 4 5 A)
33 mi 20
B)
8 mi 9
C)
3 mi 5
D)
29 mi 20
Divide and simplify. 3x2 x3 ÷ 249) 5 40 A)
249)
120x2 5x3
B)
24x2 x3
C)
24 x
D)
x 24
Multiply. Write the answer in simplest form. y3 x2 · 250) x3 y A)
248)
y3
B)
x
250)
y4 x5
C)
y2 x
D)
3 x
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
251) A fraction whose numerator or denominator or both numerator and denominator contain fractions is called a(n) . A) improper fraction C) proper fraction
B) mixed number D) complex fraction 43
251)
Add or subtract as indicated. Write the answer in simplest form. 3 2 252) 17 11 A)
1 28
B) -
6 187
252)
C) -
1 187
D) -
1 28
Identify the numerator and the denominator of the fraction. 7 253) 8 A) numerator: denominator: C) numerator: denominator: Solve. 254)
253) B) numerator: denominator: D) numerator: denominator:
8 7 8 7
7 8 7 8
1 3 x - = 4 2 8
A) 10 255) A nail 6
254) B) -14
C) 14
2 2 inches long is driven into a board 2 inches thick. How much of the nail protrudes from 3 5
the other side of the board?
A) 1 in.
Simplify. 256) -
D) -10
C) 4
B) 8 in.
4 in. 15
D)
8 in. 15
1 2 1 2 4 2
A) -
3 2
256) B) -
5 16
C) -
3 16
D)
5 16
Add or subtract as indicated. Write the answer in simplest form. 3v 13 257) 17 15 A)
-10v 32
B)
3v - 13 255
C)
Write the prime factorization of the number. 258) 12,825 A) 3 4 · 19 B) 3 3 · 5 2 · 19 Solve. 259)
257) -10v 255
C) 5 4 · 19
D)
45v - 221 255
D) 3 2 · 5 3 · 19
x - x = -3 5
A)
3 4
255)
258)
259) B) -
3 4
C) -
44
15 4
D)
15 4
Graph the list of numbers on the given number line. 1 5 9 260) 0, , 2 , 3 , 6 2 6 10
1 2
A)
1 2
B)
2
3
C)
3
D)
2
5 6
3
5 6
3
9 10
2
9 5 2 10 6
260)
9 10
9 10
5 6
1 2
1 2
Evaluate the expression for the given replacement values. 3 1 261) x ÷ y; x = , y = 3 5 4 A)
3 65
B) 5
261)
5 12
C)
12 65
D) 1
19 20
Evaluate the expression for the given replacement values. Write the answer in simplest form. y 4 7 for y = , x = 262) x 9 3 A)
27 28
B)
4 21
C)
21 4
D)
262)
28 27
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 3 1 263) 1 ÷ 1 263) 4 5
A) 1
11 24
B) 1
12 24
C) 1
45
11 23
D) 2
11 24
Find the perimeter of the figure. 264)
1 meter 20
264)
Parallelogram 5 meter 20
A)
3 m 10
B)
1 m 80
C)
1 m 4
D)
3 m 5
Simplify by dividing. 10 265) 0 A) -10
265) B) 10
Find the prime factorization of the number. 266) 90 A) 2 · 3 · 5
B) 2 · 32 · 5
C) 0
D) undefined
C) 2 2 · 3 2 · 5
D) 10 · 3 2
Solve. Write the fraction in simplest form. 267) Of the fifty states in the United States, 12 have at least one mountain higher than 12,000 feet. What fraction of states have at least one mountain higher than 12,000 feet? 19 6 6 12 A) B) C) D) 25 19 25 50 Evaluate the expression for the given replacement values. Write the answer in simplest form. 1 7 for x = , y = 268) x + y 2 12 A) -
1 12
B)
-4 48
C) -
5 16
D) -
7 570
5 12
269)
B)
570 7
C)
570 497
D)
480 7
Write the fraction in simplest form. 24v 270) 21v2 A)
8
7v2
267)
268)
Simplify the complex fraction. 5 1 + 3 7 269) 4 7 5 9 A)
266)
270) B)
8 7v
C)
46
3 v
D)
8v 7
Add or subtract as indicated. Write the answer in simplest form. 6 1 271) 8 5 A)
11 4
B)
11 20
C)
271) 1 8
D)
5 8
Identify the numerator and the denominator of the fraction. 8 272) 3
272) 3 8
8 A) numerator: denominator: 3
B) numerator:
3 C) numerator: denominator: 8
D) numerator: 11 denominator: 1
denominator: 8
Perform the indicated operation and write the answer in simplest form. 5 35 ÷273) 13 52 A) -
4 7
B) -
175 676
C)
4 7
273) D)
7 4
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
like cross products simplest form
274) In the fraction
7 , the 7 is called the 9
numerator prime factorization least common denominator denominator undefined 0
and the 9 is called the
A) numerator; denominator C) denominator; numerator
.
274)
B) prime number; composite number D) composite number; prime number
Solve. Write the answer as a mixed number in simplest form. 275) Find the perimeter (distance around) of the polygon below. Each side of the polygon has the same length. 275)
side length = 4
A) 38
2 yd 5
4 yd 5
B) 30
1 yd 5
C) 33
47
3 yd 5
D) 28
4 yd 5
Solve. Write the fraction in simplest form. 5 3 6 mile to his biology class, mile to his art class, mile to his calculus class, and 276) Alt walked 32 32 32
276)
then back to his dormitory. If he walked 1 mile altogether, how far did he walk from his calculus class to his dormitory? 21 3 7 9 mi mi mi A) B) mi C) D) 32 4 16 16
Graph the fraction on a number line. 10 277) 3
277)
A)
B)
C)
D)
Represent the shaded area in the figure group with an improper fraction. 278)
A)
Simplify. 279)
1 6
B)
7 12
C)
7 6
278)
D)
7 5
2 2 1 2 · + · 3 3 2 7
A)
37 28
279) B)
34 33
C)
37 63
D)
74 63
Simplify the complex fraction. 4y 5 280) 1 35 A)
28 y
280)
B)
y 28
C) 28y
48
D) 140y
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 5 281) 5 ÷ 10 281) 9
A)
2 3
B)
5 9
C)
5 8
D)
4 9
Perform the indicated operation and write the answer in simplest form. 5a 15 · 282) 8 9a 3 A)
3
8a 2
B)
3a 2 8
C)
25
24a 4
282) D)
25
24a 2
Write the fraction as an equivalent fraction with the given denominator. 9 283) = 7 21 A)
3 21
B)
27 21
C)
9 21
283) D)
63 21
The bar graph shows the number of new residents in several towns during the years 1999 to 2001. Use the graph to answer the question.
284) Of the total number of new residents in Hatsburg during the period 1999-2001, what fraction arrived in the year 2000? 143 187 330 143 A) B) C) D) 330 143 143 187 Add or subtract as indicated. Write the answer in simplest form. 5 8 9 2 + + 285) 14 14 14 14 A) -
3 7
B) -
10 7
C)
49
284)
285) 10 7
D)
3 7
Write the fraction in simplest form. 3 286) 12 A)
3 4
286) B)
3 12
C)
1 4
D) 4
Write the fraction as an equivalent fraction with the given denominator. 1 287) = 3 15 A)
Solve. 288) 4x -
5 15
B)
1 15
C)
6 15
287) D)
8 15
1 1 - 3x = 6 36
A)
43 216
288) B)
1 18
C)
1 21
D)
7 36
Write the fraction in simplest form. 84xy2 z 289) 54x3 y3 z 3 A)
14 9x2yz 2
289) B)
14 27x3 yz 3
C)
28 9x2yz 2
D)
28
9xyz 2
Write the improper fraction as a mixed or whole number. 189 290) 7 A) 188
290)
B) 190
C)
27 2
D) 27
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 1 291) 48 ÷ 5 291) 3
A) 10
B) 9
C) 8
D) 7
1 2
Multiply. Write the answer in simplest form. 11 11 1 · · 292) 13 13 4 A)
676 121
B)
292)
23 104
C)
50
121 169
D)
121 676
Solve. Write the answer as a mixed number in simplest form. 1 1 293) Daniel is 70 in. tall and his brother Tyler is 67 in. tall. How much taller is Daniel? 3 2 A) 3
5 in. 6
B) 2
5 in. 9
C) 2
5 in. 6
D) 3
293) 1 in. 6
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 4 1 294) ÷ 3 294) 7 7
A)
2 11
B) 5
1 2
C)
2 77
D) 1
39 49
Divide and simplify. 2x3 295) 6x4 ÷ 3 A) 4x
295) C) 9x7
B) 9x
D) 4x7
Multiply. Write the answer in simplest form. 7 9 ·0 · 296) 10 14 A) 0
297) -
B)
296)
23 34
C)
9 20
D) undefined
4 · 250y3 5
A) 160y3
297) B) -200y3
C)
62,504y3 5
D)
1,000y3 5
Write the fraction in simplest form. 30 298) 40 A)
Solve. 299) 6x -
10 4
298) B)
3 4
C)
30 40
D)
3 10
1 3 5 - 5x = + 13 13 13
A)
15 2,197
299)
B)
9 39
C)
51
15 13
D)
9 13
Write the fraction in simplest form. 45gh 300) 35g2 A)
9h 7g2
300) B)
10h g2
C)
9gh 7
D)
9h 7g
Add or subtract as indicated. Write the answer in simplest form. 7y 3 301) 72 8 A)
7y - 3 72
B)
7y - 27 8
C)
301) 7y - 27 72
D)
7 - 27y 72
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
302) The LCM of the denominators in a list of fractions is called the A) numerator C) least common denominator Solve. 303) 8z +
302)
.
B) composite number D) prime number
1 3 - 7z = 15 5
A)
2 3
303) B)
1 5
C)
8 15
D)
2 15
Graph the fraction on a number line. 3 304) 2
Solve. 305)
304)
A)
B)
C)
D)
x x + = 11 20 5
A) 1,100
305) B) 44
C)
52
11 5
D) 216
Evaluate.
4 2 5
306) -
306) 8 25
A) -
B)
16 25
C) -
16 5
D) -
8 5
Write the fraction in simplest form. 35 307) 45 A)
5 9
307) B) -
7 9
C) -
35 45
D)
7 9
Find the perimeter of the figure. 308)
Square
A)
308)
1 kilometer 10
1 km 100
B)
1 km 5
C)
2 km 5
D)
3 km 10
The table shows the fraction of the world's surface land area taken up by each continent. Use the table to answer the question. Write your answer in simplest form.
Continent North America
Fraction of World's Surface Land Area 4 25
South America
3 25
Europe
7 100
Africa
1 5
Asia
3 10
Australia
3 50
Antarctica
9 100
309) How much greater is the fractional part of the continent of Asia than the fractional part of the continent of South America? 9 9 6 1 A) B) C) D) 25 50 25 5
53
309)
Add or subtract as indicated. Write the answer in simplest form. 4 1 310) 7 21 A)
11 21
B)
1 7
C)
310) 3 14
D)
13 21
Solve. Write the fraction in simplest form. 3 of her monthly income of $11,775 for retirement. How much money is she 311) Leah is saving 25 setting aside each month for retirement? A) $471 B) $98,125
C) $157
D) $1,413
Solve. Write the answer as a mixed number in simplest form. 1 miles on each of 4 days. What is the total distance Byron rode? 312) Byron rode his bicycle 3 10 A) 12
4 miles 5
B) 7
2 miles 5
C) 12
2 miles 5
D) 12
313) B)
1 40
C) 40
D) 0
Add or subtract as indicated. Write the answer in simplest form. 7 11 + 314) 102 90 A)
2 765
B)
41 765
C)
314) 1 48
D)
4 291
Write the improper fraction as a mixed or whole number. 846 315) 119 A) 7
13 119
312)
1 miles 10
Simplify by dividing. 40 313) 40 A) 1
311)
B) 7
315)
12 119
C) 6
54
13 119
D) 8
13 119
Graph the fraction on a number line. 8 316) 3
316)
A)
B)
C)
D)
Add or subtract as indicated. Write the answer in simplest form. 8 -5 317) 13 A) -
Simplify. 318)
73 13
40 13
B) -
317)
C) -
57 13
D)
3 13
2 -7 11 ÷ 8 2 13
A)
318)
-51 52
B)
-52 18
C)
-16 663
D)
-663 16
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
319) In
complex fraction equivalent improper fraction proper fraction
a c = , a · d and b · c are called b d
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
.
A) prime factorization C) cross products
319) B) reciprocals D) simplest form
Multiply. Write the answer in simplest form. 9 7 320) - · 8 4 A) -
4 3
B) -
320)
9 32
C)
55
14 9
D)
63 32
Write a fraction to represent the shaded area. 321)
A)
13 32
B)
321)
9 16
C)
13 16
D)
3 16
Simplify the complex fraction. 1 9+ 2 322) 4 6+ 3 A)
44 57
322)
B)
51 44
C)
57 44
D)
57 28
Write the fraction. 323) In a art class containing 73 students, there are 7 freshman, 21 sophomores, 9 juniors, and 36 seniors. What fraction of the class is NOT juniors? 3 64 73 64 A) B) C) D) 4 73 64 9
323)
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 5 7 - -28 324) -41 324) 12 9
A) - 37
Solve. 325)
11 12
B) - 12
23 36
C) - 50
5 9
D) 12
23 36
13 383x = -1 59 472
A)
33,984 383
325) B)
576 383
C) -
56
576 383
D)
576 22,597
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 326) 326) 4 12 5 -
3
9 10
A) 8
9 10
B) 9
9 10
D) 8
C) 9
19 10
Add or subtract as indicated. Write the answer in simplest form. 4x 2x + 327) 9 7 A)
2x 21
B)
8x 63
C)
327) 46x 63
D)
10x 21
Determine whether the pair of fractions is equivalent. 5 60 and 328) 6 18
328)
A) equivalent
B) not equivalent
Perform the indicated operation and write the answer in simplest form. 2 2 1 329) Find the average of , , and . 6 8 4 A)
Solve. 330) -
5 18
B)
5 6
C)
5 12
329) D)
5 192
8 1 t=9 2
A) -
330)
9 16
B) -
9 2
C)
9 16
D)
16 9
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 1 331) The quotient of 4 and a number 4 A) x ÷ 4
1 4
B) 4
1 -x 4
C) 4
57
1 ÷x 4
331) D) 4
1 ·x 4
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
332) The
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
of a number is the factorization in which all the factors are prime numbers.
A) least common denominator C) equivalent
B) simplest form D) prime factorization
Write the prime factorization of the number. 333) 1,400 A) 2 3 · 5 2 · 7 B) 2 4 · 5 · 7
C) 2 · 54 · 7
D) 2 3 · 5 3 · 7
Multiply. Write the answer in simplest form. 3 48 · 334) 10 150 A)
144 1,500
B)
5 12
B)
17 500
C)
51 160
D)
12 125
335)
7 12
C)
5 7
D)
7 5
Write the fraction as an equivalent fraction with the given denominator. 2 = 336) 11 44 A)
8 44
B)
88 484
C)
22 44
336) D)
2 44
Determine whether the pair of fractions is equivalent. 2 6 337) and 6 17
337)
A) equivalent
B) not equivalent
Solve. Write the fraction in simplest form. 1 1 338) A recipe calls for of a pound of sausage. How much sausage should be used if only of the 2 3 recipe is being made? 3 A) lb 2
333)
334)
Write a fraction to represent the shaded area of the figure. 335)
A)
332)
B)
1 lb 5
C)
58
2 lb 5
D)
1 lb 6
338)
Solve. 339)
x 7 +2= 5 5
A)
3 5
339) B) 3
C) -3
D) -
3 5
Add or subtract as indicated. Write the answer in simplest form. 6 27 9 340) 60 60 60 A) -
1 2
B)
3 5
340)
C) -
3 5
D)
1 2
Write the fraction in simplest form. 16h 341) 20h A)
4h 5h
341) B)
16 20
C)
4 5
D)
4h 5
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 2 3 342) 18 + 11 342) 5 7
A) 28
343) -6
29 35
B) 18
29 35
C) 29
29 35
D) 30
29 35
1 1 ÷ -3 20 4
A) 2
1 5
343) B) - 1
56 65
C) - 2
1 5
D) 1
56 65
Add or subtract as indicated. Write the answer in simplest form. 6 4 + 344) 15 15 A) -
2 3
B)
2 15
C)
59
344) 2 3
D) -
2 15
The circle graph below shows us how an average consumer spends money. Use this information to answer the question.
345) What fraction of spending goes for the categories education, transportation, and other combined? 1 19 9 9 A) B) C) D) 4 20 20 40 Evaluate the expression for the given replacement values. Write the answer in simplest form. 1 10 for x = ,y= 346) x - y 11 11 A) -
9 11
B) - 1
C) 1
Solve. Write the fraction in simplest form. 347) Miara's Cinema received $6,764 in movie admission tickets for one day. About
D)
345)
346)
9 11
2 of this amount 19
347)
was for G-rated movies. Find the amount of money received from G-rated movies. A) $178 B) $64,258 C) $712 D) $356
Divide and simplify. 6 10 348) ÷ 7 3 A)
20 7
348) B)
7 20
C)
Write the prime factorization of the number. 349) 80 A) 2 3 · 5 2 B) 2 3 · 5
35 9
C) 2 4 · 5
60
D)
9 35
D) 2 4 · 5 2
349)
Solve the problem. 350) A salesman has organized his clients into groups according to their distance from his home. Distance from Home Less than 10 miles 10-20 miles 21-50 miles More than 50 miles
Number 84 56 22 7
What fraction of the salesman's clients are less than 10 miles from his home? 85 169 84 A) B) C) 84 84 85
D)
84 169
Write the fraction in simplest form. 44 351) 68 A) -
44 68
350)
351) B) -
4 17
C)
11 4
D) -
11 17
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 352) 352) 5 1 8 9
1 4
+
1 2
A) 10
3 8
B) 12
3 8
C) 11
1 2
D) 11
3 8
Divide and simplify. 5 1 353) ÷ 3 9 A)
5 27
353) B)
1 15
C)
27 5
D) 15
Determine whether the statement is true or false. 354) A proper fraction cannot be equivalent to an improper fraction. A) True B) False
354)
Write the fraction as an equivalent fraction with the given denominator. 1 355) = 9 72x A)
9x 72x
B)
8x 72x
C)
61
1 72x
355) D)
8 72x
Evaluate the expression for the given replacement values. Write the answer in simplest form. x2 4 4 1 for x = , y = , z = 356) y- z 5 5 10 A)
8 35
357) -3x =
4 3
Solve.
B)
C)
32 35
D)
8 7
357)
A) - 4
358)
56 125
B) -
4 9
C) 4
D)
4 9
x x 4 - = 3 4 3
358)
A) 0
B) -
4 3
C)
1 16
D) 16
The perimeter of a plane figure is the total distance around the figure. Find the perimeter of the figure. 359)
1
1
356)
1 miles 2
1
5 miles 8
359)
1 miles 2
1 mile 4 3 mile 8
1
A) 5
1 miles 2
3 miles 4
B) 3
3 miles 4
C) 5
3 miles 4
D) 7 miles
Evaluate the expression for the given replacement values. Write the answer in simplest form. 1 3 360) x + y for x = , y = 6 7 A)
4 13
B)
4 7
C)
62
13 21
D)
25 42
360)
Solve. Write the fraction in simplest form. 3 4 mi to the park and then another mi to the cafe. How far did she walk in 361) Linda walked 10 15 total?
A)
17 mi 30
B)
13 mi 30
C)
7 mi 15
D)
361)
11 mi 30
Determine whether the pair of fractions is equivalent. 10 8 and 362) 45 36
362)
A) equivalent
B) not equivalent
Determine whether the statement is true or false. 363) It is possible for the average of two numbers to be greater than both numbers. A) True B) False
363)
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
364) Two numbers are A) undefined
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
364)
of each other if their product is 1.
B) reciprocals
C) cross products
D) equivalent
Simplify by dividing. -41 365) 41 A) 1
365) B) -1
C) 0
D) -41
Find the LCD of the list of fractions. 11 1 13 , , 366) 30 54 45 A) 90 Solve. 367)
366) B) 54
C) 270
D) 135
a 1 - = -5 2 2
A) -11
367) B) 9
C) 11
D) -9
Simplify by dividing. -17 368) 1 A) 17
368) B)
1 -17
C) -16
63
D) -17
Add or subtract as indicated. Write the answer in simplest form. 8 4 369) + 9 x A)
44 9
B)
4 3x
C)
369) 8x + 36 9x
D)
8x + 4 9x
Solve. Write the answer as a mixed number in simplest form. 370) Find the perimeter of the triangle. 4 ft
6
13
A) 50
370)
1 ft 3
1 ft 8
3 ft 11
B) 23
Solve. Write the fraction in simplest form. 371) In a political poll, approximately
11 ft 24
C) 23
2 ft 11
D) 23
1 ft 12
3 of the people asked preferred candidate A in the upcoming 10
371)
election. If 12,700,000 people were asked, how many of these preferred candidate A? A) 381,000 people B) 3,810,000 people C) 3,800,000 people D) 1,270,000 people
Evaluate the expression for the given replacement values. Write the answer in simplest form. 3 10 3 3 for x = , y = 372) x+y 4 5 A)
2 9
B)
C)
1.583296744e+14 3.518437209e+15
D) 2
372)
1 2
Divide and simplify. 2 4 373) - ÷ 7 7 A) -
8 49
373) B) 2
C)
Write the prime factorization of the number. 374) 45 A) 15 · 3
1 2
C) 5 2
B) 9 · 5
64
D) -
1 2
D) 3 2 · 5
374)
Multiply. Write the answer in simplest form. 4 · 250a 2 375) 5a A) 160a 2
375)
B) -200a
C) -
1,000a 5
D) -
200 a
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
376) The fraction A) 0
complex fraction equivalent improper fraction proper fraction
3 is 0
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
.
376)
B) undefined
C) simplest form
D) equivalent
Solve. Write the fraction in simplest form. 377) There are 5,500 students at a university. If 4,500 are females, what fraction of the students are males? 9 4,500 2 2 A) B) C) D) 11 5,500 9 11 Perform the indicated operation and write the answer in simplest form. 4x 9x + 378) 14 14 A)
13x2 28
B)
13x 14
C)
13x 28
377)
378) D)
13x2 14
Solve. Write the answer as a mixed number in simplest form. 1 13 11 3 379) A female tiger had 4 cubs. They weighed 2 , 2 , 3 , 4 pounds, respectively. What was the 2 16 16 4
379)
average weight of a cub? (Recall that the average of a list of numbers is their sum divided by the number of items in the list.) 15 7 7 11 lb lb lb lb A) 2 B) 3 C) 2 D) 16 16 16 16
Simplify. 380)
5 2 2 6 3
A)
1 4
380) B)
1 6
C)
65
1 36
D)
1 12
Write a fraction to represent the shaded area of the figure. 381)
A)
3 5
B)
381)
3 8
C)
5 8
D)
Solve. Write the answer as a mixed number in simplest form. 382) Mark is filling decorative oil lamps for a reception. Each lamp can hold cups of oil available. How many oil lamps can Mark fill completely? 1 A) 2 oil lamps B) 3 oil lamps C) 4 oil lamps 2
5 3
4 2 cup of oil. Mark has 2 7 7
D) 5 oil lamps
Divide and simplify. 2 6 383) ÷ 8 19 A)
3 152
382)
383) B)
8 27
C)
19 24
D)
24 19
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 4 1 + 13 384) -40 384) 15 25
A) - 27
17 75
B) 26
52 75
C) 27
17 75
D) - 26
Represent the shaded area in the figure group with an improper fraction. 385)
A)
5 4
B)
5 8
C)
3 4
385)
D)
3 8
Write a fraction to represent the shaded area of the figure. 386)
A)
1 6
B)
52 75
386)
1 5
C)
66
5 6
D)
5 1
Write the fraction in simplest form. 33 387) 51 A)
11 17
387) B)
3 17
C)
33 51
D)
11 3
Solve. Write the fraction in simplest form. 388) Find the area of the rectangle. Write the answer in simplest form. Recall that the area = length · width.
A=
388)
5 mile 13
B = 26 miles 31 sq mi A) 13
B)
343 sq mi 13
C)
130 sq mi 13
D) 10 sq mi
Write the improper fraction as a mixed or whole number. 145 389) 139 A) 1
139 6
B) 1
389)
6 139
C) 1
6 145
D) 139
6 139
Write a fraction to represent the shaded area of the figure. 390)
A)
1 6
B)
390)
5 1
C)
1 5
D)
5 6
Solve. 391) Determine which numbers in the list below are divisible by both 2 and 3. 28,938 6,625 915 9,150 1,278 5,642 A) 28,938, 9,150 B) 9,150 C) 28,938, 5,642, 915, 1,278 D) 28,938, 9,150, 1,278
391)
Solve. Write the answer as a mixed number in simplest form. 1 5 392) An attorney drove 7 miles from his home to a client's home and another 3 miles to get to his 4 8 office. How far did he drive in total? 7 7 A) 9 mi B) 7 mi 8 8
C) 10
67
7 mi 8
D) 11
7 mi 8
392)
Find the LCD of the list of fractions. 7 2 393) - , 6 8 A) 24 Solve. 394)
393) B) 2
C) -24
D) 48
1 3 1 x=- 4 8 8
A) 2
394) B) - 4
C) 4
D) - 2
Write a fraction to represent the shaded area of the figure. 395)
A)
1 3
B)
395)
1 4
C)
3 1
D)
3 4
The bar graph shows the number of new residents in several towns during the years 1999 to 2001. Use the graph to answer the question.
396) Of the total number of new residents in these four towns in the year 1999, what fraction were new residents of Birton? 465 119 119 119 A) B) C) D) 119 382 465 346 Find the LCD of the list of fractions. 1 16 397) , 5 3 A) 5
396)
397) B) 15
C) 8
68
D) 3
Divide and simplify. 4x 5 ÷ 398) 13 12 A)
48 65x
398) B)
46x 65
C)
48x 65
D)
48 63
Solve the problem. 399) In a psychology class containing there are 22 freshmen, 17 sophomores, 11 juniors, and 27 seniors. What fraction of the class is seniors? 27 77 1 27 A) B) C) D) 77 27 4 116 Represent the shaded area in the figure group with a mixed number. 400)
A) 1
4 3
B) 1
7 8
C) 1
3 4
400)
D) 1
2 3
Determine whether the fractions are equivalent. 14 12 and 401) 49 42
401)
A) equivalent
B) not equivalent
Perform the indicated operations. Write the answer in simplest form. 4 9 · 402) 1 ÷ 27 4 A) 9
B)
243 16
C)
1 9
402) D)
16 243
Write the fraction as an equivalent fraction with the given denominator. 5 403) = 9 18 A)
Simplify. 404)
10 18
B)
2 18
C)
5 18
403) D)
45 18
2 3 2 5 14
A)
169 70
399)
404) B)
169 4900
C)
69
13 70
D)
559 4900
Solve. Write the answer as a mixed number in simplest form. 405) A serving of filleted fish is generally considered to be from 9
1 lb. How many servings can be prepared 3
3 lb of flounder fillet? 8
A) 27
3 servings 8
Solve. 406) -5b - 4b =
B) 28
1 servings 8
C) 30 servings
1 servings 8
406) B) -
1 6
C) -
27 2
Estimate the value as a whole number or as a mixed numeral where the fractional part is
407) 990 ÷ 9
D) 3
3 2
A) - 6
D) -
3 2
1 . 2
1 15
A) 108
1 2
407) B) 109
C) 111
D) 110
Find the LCD of the list of fractions. 7 2 , 408) 56 96 A) 224
408) B) 168
C) 672
D) 1,344
Solve. Write the fraction in simplest form. 11 of 96. 409) Find 16 A)
11 1536
409)
B) 66
C) 96
D)
1536 11
Simplify the complex fraction. 2x 7 410) 6 13 A)
13 21x
410)
B)
12x 91
C)
21x 13
D)
13x 21
Write the fraction in simplest form. 2,775 411) 6,105 A)
405)
185 407
411) B)
6 11
C)
70
5 11
D)
222 407
Evaluate. 412)
1 3 5
412)
A)
413)
1 125
B)
1 8
C)
3 5
D)
1 15
8 91 4 2 · · 13 16 49
413)
A)
16 49
B)
4 49
C)
6.157265116e+13 5.279854837e+15
D)
8 49
Add or subtract as indicated. Write the answer in simplest form. 8 7 7 414) - - + 3 2 10 A) -
82 15
B) -
39 6
C)
414) 1 60
D)
164 15
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 5 2 415) 29 + -24 415) 7 21
A) - 5
416)
12 - 6
417) -
B) - 5
17 21
C) 5
13 21
D) 5
17 21
416) 2 3
A) 5
Solve.
13 21
1 3
B) 6
1 3
C) 6
2 3
D) 11
1 3
3 k=- 6 4
A) 8
417) B) -2
C) 1
D) 0
Solve. Write the fraction in simplest form. 418) There are 48 students in a math class. If 18 of the students like the teacher, what fraction of the students like the teacher? 3 6 18 3 A) B) C) D) 6 8 48 8
71
418)
Decide whether the given replacement value is a solution of the given equation. 7 7 a solution to 11x = ? 419) Is 132 12 A) Yes 420) Is
419)
B) No
3 1 3 a solution of x = ? 5 4 20
420)
A) Yes
B) No
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 1 421) 5 ÷ 2 421) 4
A) 11
Simplify. 422)
2 9
B) 2
1 4
C) 11
1 4
D) 2
2 9
7 1 1 ÷ · 4 7 5
A)
49 20
422) B)
245 4
C)
5 4
D)
1 20
Write the fraction in simplest form. 65 423) 117 A)
Solve. 424)
65 117
423) B)
5 13
C)
13 9
D)
5 9
5 15 x= 4 20
A) -
425) -
3 5
424) B)
3 5
C)
15 16
D) 1
3 1 +y=5 10
A)
1 2
425) B)
2 5
C)
1 5
D)
7 10
Add or subtract as indicated. Write the answer in simplest form. 3 3 + 426) 32 4x A)
3 + 24x 32x
B)
3x + 24 32
C)
72
426) 3x + 24 32x
D)
3x + 3 32x
Find the perimeter of the figure. 427)
427)
8 meter 65
7 meter 50 Triangle 13 meter 30
A)
679 m 975
B)
28 m 5
C)
28 m 145
D)
7 m 24375
Write the fraction. 428) There are 100 centimeters in a meter. What fractional part of a meter does 52 centimeters represent? 100 52 52 48 A) B) C) D) 52 48 100 52 Simplify the complex fraction. 5x 17 429) 8 13 A)
13x 30
429)
B)
65x 136
C)
136 65x
D)
40x 221
Add or subtract as indicated. Write the answer in simplest form. 2 430) 5m 11 A)
55m - 2 11
B)
-10m 11
C)
430) 3m 11
D)
5m - 2 11
Evaluate the expression for the given replacement values. Write the answer in simplest form. 3 21 for x = ,y=431) x ÷ y 10 10 A) -
1 7
B) -7
C) -
63 100
D) -
431) 100 63
Determine whether the statement is true or false. 6 3 12 , , and are all equivalent. 432) The fractions 16 4 36
432)
A) True Simplify. 433)
B) False
1 1 1 + · 8 7 3
A)
1 84
428)
433) B)
29 168
C)
73
59 56
D)
5 56
Multiply. Write the answer in simplest form. 2 2 434) · 5 9 A)
Solve. 435) -
45 4
B)
434)
2 7
C)
5 9
D)
4 45
5 15 x= 4 16
A) - 1
435) B)
3 4
C) -
75 64
D) -
3 4
Write the fraction. 436) In a art class containing 74 students, there are 8 freshmen, 5 sophomores, 11 juniors, and the rest are seniors. What fraction of the class is freshmen? 8 1 8 74 A) B) C) D) 87 4 74 8 Simplify the complex fraction. 7 90 437) 1 15 A)
7 6
437)
B)
3 40
C)
6 7
D)
7 1350
Add or subtract as indicated. Write the answer in simplest form. 7 1 438) + 9 9 A)
7 9
B)
7 8
C)
438) 8 9
D)
9 10
Represent the shaded area in the figure group with a mixed number. 439)
A) 1
5 4
B) 5
1 4
C) 1
3 4
439)
D) 1
1 4
Divide and simplify. 8 440) - ÷ 7 8 A) -
5 3
436)
440) B) - 7
C) -
74
1 7
D) -
9 56
Add or subtract as indicated. Write the answer in simplest form. 15 5 + 441) 16 16 A) -
5 4
B) -
5 8
C)
441) 5 8
D)
5 4
Solve. Write the answer as a mixed number in simplest form. 1 4 442) Maria exercises for 1 hours every Saturday. She runs for of the time that she exercises. How 9 5 much time does she spend running every Saturday? 8 8 A) hour B) 1 hours 9 9
C) 1
4 hours 45
D)
6 hour 9
Graph the fraction on a number line. 5 443) 8
443)
A)
B)
C)
D)
Add or subtract as indicated. Write the answer in simplest form. 6x 5x 7x 4x + 444) 46 46 46 46 A)
445) 6 -
446)
B)
x 23
C)
444) 2x 23
D)
22x 23
y 11
A)
Solve.
4x 46
6-y 11
445) B)
66 - 6y 11
C)
11 - 6y 11
D)
66 - y 11
2 1 x - = 7 6 42
A) 5
442)
446) B) -19
C) 19
75
D) -5
Evaluate the expression for the given replacement values. Write the answer in simplest form. x+y 3 4 3 for x = , y = ,z= 447) z 4 11 22 A)
6 17
B)
49 6
C)
1.293025674e+15 8.514618045e+15
D)
6 49
Solve. Write the answer as a mixed number in simplest form. 2 5 448) Ted walks around a lake on a path that is 5 miles long. It takes him 4 hours to complete his 3 6 walk. What is his average speed (in miles per hour)? 5 miles per hour A) 1 28
C) 2
5 miles per hour 29
B) 1
6 miles per hour 29
D) 1
5 miles per hour 29
Represent the shaded area in the figure group with an improper fraction. 449)
A)
9 4
B)
3 12
C)
9 12
6.519004441e+15 1.125899907e+15
B)
C)
8,514,618,045,497,345 862,017,116,176,384
D) 4
Solve. 451) On a recent trip, Asha drove 270 miles on 14
D)
3 4
450)
1 4
1 gallons of gasoline. How many miles would we 6
expect the car to travel on 1 gallon of gas? 1 A) 630 mi B) 3825 mi 6
C) 19
1 mi 17
D)
451)
17 mi 324
Solve. Write the fraction in simplest form. 452) A company employs 99,000 employees worldwide. About 2,700 employees work in the United States. What fraction of the employees work in the United States? 3 2,700 3 3 A) B) C) D) 110 99,000 1100 11
76
448)
449)
Perform the indicated operations. Write the answer in simplest form. 77 64 11 · ÷ 450) 16 49 7 A)
447)
452)
Solve. 453)
5 x 5 - = 3 4 12
A) 5
453) B) -
15 4
C)
15 4
Solve. Write the answer as a mixed number in simplest form. 454) A rectangular flower bed in front of a building measures 9
D) - 5
1 3 feet by 3 feet. What is the total area 3 7
454)
of the flower bed? Hint: The area of a rectangle is the product of the length times the width. 3 square feet A) 31 square feet B) 27 21
C) 33 square feet
D) 32 square feet
Determine whether the pair of fractions is equivalent. 3 5 and 455) 12 20
455)
A) equivalent
B) not equivalent
Write the prime factorization of the number. 456) 64 A) 6 2 B) 2 · 6
C) 2 6
456) D) Prime
Divide and simplify. 2 4 ÷ 457) 7x x2 A)
1 14x
457) B)
x 14
C)
14 x
D) 14x
Add or subtract as indicated. Write the answer in simplest form. 9 9 + 458) 11 11 A) 1
B) 0
C)
77
458) 18 11
D) undefined
Solve. Write the fraction in simplest form. 459) The circle graph below shows the fractional part of the Suarez family's income allocated to each category 459) each month.
If the Suarez's income last month was $4,800, how much money was allocated for savings? Round to the nearest cent, if necessary. A) $218.16 B) $1,200.00 C) $436.37 D) $480.00
Simplify. 460) 2 2 -
1 2 4
A)
5 16
Solve. 461)
460) B)
3 16
C)
65 16
D)
63 16
x x 2 = + 5 6 5
A)
1 12
461) B) 12
2 5
C) -
D) 0
Solve. Write the answer as a mixed number in simplest form. 2 1 462) A recipe for fudge brownies calls for 3 cups of cocoa per batch. If you are making 3 batches, 3 2 how many cups of cocoa are needed? 5 1 A) 12 cups B) 3 cups 6 2
C) 7
1 cups 6
D) 7 cups
Add or subtract as indicated. Write the answer in simplest form. 1 7 5 + 463) 3 36 6 A) -
11 36
B)
11 36
C) -
78
462)
463) 19 36
D)
1 6
464)
6 1 25 20
A)
464)
95 500
B)
19 100
C)
1 20
D)
1 5
Graph the list of numbers on the given number line. 3 7 1 465) 0, 1 , - , 4 , 4 4 8 2
A)
-
B)
-
7 8
4
1
1
4
C)
D)
7 8
1 2
4
1
1
3 4
3 4
1 2
465)
-
1 2
-
7 8
1 2
3 4
3 4
4
7 8
Graph the fraction on a number line. 7 466) 6
466)
A)
B)
C)
D)
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 2 5 467) 5 · -3 467) 5 8
A) 12
33 40
B) - 19
23 40
C) 19
79
23 40
D) - 12
33 40
Add or subtract as indicated. Write the answer in simplest form. 7y 3 468) 48 8 A)
7y - 18 8
B)
7 - 18y 48
C)
468) 7y - 3 48
D)
7y - 18 48
Write the fraction. 469) Of the 97 doctors at a hospital, 71 are women. What fraction of the doctors are women? 97 71 26 71 A) B) C) D) 71 26 71 97 Multiply. Write the answer in simplest form. yz 2 x · 470) x yz A) z 2
469)
470)
B) z 3
C) z
D)
yz 2 yz
The table shows the fraction of the world's surface land area taken up by each continent. Use the table to answer the question. Write your answer in simplest form.
North America
Fraction of World's Surface Land Area 16 100
South America
12 100
Europe
7 100
Africa
20 100
Asia
30 100
Australia
6 100
Antarctica
9 100
Continent
471) Find the fractional part of the world's land area within the continents of Australia and Asia. 2 8 3 9 A) B) C) D) 5 25 10 25 Add or subtract as indicated. Write the answer in simplest form. 3p 9 + 472) 10 14 A)
21p + 9 70
B)
3p + 45 70
C)
80
471)
472) 21p + 45 140
D)
21p + 45 70
Represent the shaded area in the figure group with an improper fraction. 473)
A)
Evaluate. 474) -
3 5
B)
5 3
C)
5 8
473)
D)
5 4
3 2 1 · 10 3
A)
6 30
474) B) -
3 100
C) -
6 10
D)
3 100
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 1 475) The difference of a number and 6 A) x ÷
1 6
B)
x-1 6
C)
1 -x 6
475) D) x -
1 6
Add or subtract as indicated. Write the answer in simplest form. 1 1 476) + 5 10 A)
2 15
B)
3 10
C)
476) 1 5
D)
8 25
Write the fraction as an equivalent fraction with the given denominator. 13 = 477) 2x 14x A)
20 14x
B)
13 14x
C)
91 14x
477) D)
182x 14x
Insert < or > to form a true sentence. 3 15 478) 19 17
478)
A) <
B) >
Write a fraction to represent the shaded area of the figure. 479)
A)
5 9
B)
479)
4 5
C)
81
5 4
D)
4 9
Perform the indicated operation and write the answer in simplest form. 3 16 · 480) 10 18 A) -
19 28
B)
21 26
C) -
4 15
480) D) -
27 80
Represent the shaded area in the figure group with an improper fraction. 481)
A)
4 6
B)
4 3
C)
4 2
481)
D)
2 6
Evaluate the expression for the given replacement values. Write the answer in simplest form. 6 2 for x = , y = 482) x - y 7 4 A)
5 14
B)
4 7
C)
1 7
D)
10 7
Find the LCD of the list of fractions. 7 1 4 , , 483) 10 12 15 A) 20
483) B) 30
C) 12
Estimate the value as a whole number or as a mixed numeral where the fractional part is
484) 16
Solve. 485)
D) 60 1 . 2
15 17 · 23 31 19
A) 384
484) B) 396
C) 388
D) 408
4 x 9 - = 5 4 20
A)
7 5
485) B) -
7 4
C) -
7 5
D)
7 4
Add or subtract as indicated. Write the answer in simplest form. 1 5 6 + + 486) 15 15 15 A)
30 3,375
482)
B)
12 45
C)
82
486) 4 5
D)
30 15
Represent the shaded area in the figure group with a mixed number. 487)
A) 4
1 3
B) 3
1 3
C) 1
2 3
487)
D) 1
1 3
Determine whether the pair of fractions is equivalent. 1 3 and 488) 3 10
488)
A) equivalent
B) not equivalent
Divide and simplify. 1 5 489) ÷ 6 12 A) -
2 5
489) B)
5 2
C)
2 5
D) -
5 72
Multiply. Write the answer in simplest form. 12 15 ·490) 5 14 A) -
Solve. 491)
27 19
B) -
490)
18 7
C)
14 15
D) -
180 70
1 n = 15 5
A) 75
491) B) 19
C) 3
Solve. Write the answer as a mixed number in simplest form. 492) A pair of planks needs adjustment. One plank is 62 inches and the other is 61
D) 20
1 inches. Find how 16
492)
much the longer plank should be shortened to make both planks the same length. 15 1 15 1 in. in. in. in. A) B) 123 C) D) 1 16 16 32 16
Add or subtract as indicated. Write the answer in simplest form. 13b 4 493) 15 11 A)
13b - 4 165
B)
143b - 60 165
C)
83
493) 9b 26
D)
9b 165
Divide and simplify. x2 494) 5x ÷ 15 A)
x 3
494) B)
x2 3
C)
75 x
D)
75 x2
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
495) A fraction is in
complex fraction equivalent improper fraction proper fraction
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
when the numerator and the denominator have no factors in
common other than 1. A) prime factorization C) least common denominator
495)
B) cross products D) simplest form
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 6 3 -5 496) 10 496) 19 19
A) 5
3 19
B) 5
9 19
C) 15
3 19
D) 5
9 38
Represent the shaded area in the figure group with a mixed number. 497)
A) 2
1 8
B) 9
1 4
C) 2
1 4
497)
D) 2
3 4
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 3 498) 7 · 4 498) 4
A) 28
499) - 4
B) 11
3 4
C) 112
D) 31
4 ÷ (-10) 9
A) -
1 3
499) B) -
4 9
C)
84
5 9
D)
4 9
Multiply. Write the answer in simplest form. 8 17x 500) · 7 22 A)
176x 119
B)
500)
5x 4
C)
68x 77
D)
25x 29
Add or subtract as indicated. Write the answer in simplest form. 1 1 501) - 2 10 A) -
Solve. 502)
3 5
B)
13 20
501)
C) -
1 5
D) -
1 6
x +x=9 2
A) 3
502) B) 16
C) 54
D) 6
Simplify by dividing. 0 503) -38 A) -38
503) B) 38
C) 0
D) undefined
Determine whether the pair of fractions is equivalent. 7 17 and 504) 8 18
504)
A) equivalent
B) not equivalent
Perform the indicated operation and write the answer in simplest form. 7a 2 + 505) 54 9 A)
7a + 2 54
B)
7a + 12 9
C)
7 + 12a 54
505) D)
7a + 12 54
Write the fraction in simplest form. 60 506) 100 A)
Solve. 507)
3 5
506) B)
60 100
C)
3 20
D)
20 5
8 4 x=63 9
A) -
14 9
507) B) -
7 8
C) -
85
8 7
D) -
7 2
Solve. Write the answer as a mixed number in simplest form. 508) A wall in Alex and Carla Dinu's garden is to be built using brick that is 2 mortar joint that is
A) 13
Solve. 509) x -
3 in. 8
1 inches wide and a 8
3 inch wide. Use the diagram to find the height of the wall. 4
B) 13
5 in. 8
C) 14
3 in. 8
D) 14
5 in. 8
2 5 =3 8
A)
1 24
509) B)
31 24
C) -
31 24
D) -
1 24
Add or subtract as indicated. Write the answer in simplest form. 13a 7a 510) 16 16 A) -
Simplify. 511)
5a 4
B)
5a 4
C)
510) 3a 8
D) -
3a 8
7 3 3 4 2
A)
1 64
508)
511) B)
1 12
C) 1
D)
1 16
Solve. Write the fraction in simplest form. 2 1 2 512) Jenna read of her book on Monday, of her book on Tuesday, and of her book on Wednesday. 8 8 8 What part of her book has she read? 8 3 A) B) 5 8
C)
Find the prime factorization of the number. 513) 828 A) 3 4 · 23 B) 2 3 · 3 2 · 23
5 8
C) 2 2 · 3 2 · 23
86
D)
512)
8 3
D) 2 4 · 23
513)
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 1 514) A number subtracted from 6 A) x - -
1 6
B) x -
1 6
C)
1 -x 6
514) D) -
1 -x 6
Simplify by dividing. -39 515) -39 A)
1 -39
515) B) 0
C) -1
D) 1
Write the fraction in simplest form. 11 516) 43 A)
21 5
516) B)
11 43
C)
1 43
D)
5 21
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 4 1 517) 11 - 3 517) 7 2
A) 4
518)
11 14
B) 8
1 14
C) 8
1 2
D) 7
1 2
518)
2 18 9 + 15
5 18
A) 18
5 18
B) 33
5 18
C) 33
1 2
D)
5 18
Write the fraction in simplest form. 28s3 t2 519) 36st A)
7s2 t 9
519) B)
7s3 t2 9
Solve. Write the fraction in simplest form. 520) In a product survey comparing several soft drinks,
C)
14st 9
D) 8s2 t
53 23 of those asked preferred Drink A, and 511 219
of those asked preferred Drink B. Which drink was preferred by more people? A) Drink B B) Drink A
87
520)
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
521) Fractions that represent the same portion of a whole are called A) undefined
B) like
fractions.
C) simplest form
D) equivalent
Translate the phrase to an algebraic expression. Use "x" to represent "a number". 2 522) 4 increased by a number 5 A) 4
2 -x 5
B) 4
2 +x 5
C) x + 4
2 5
522) D) 4
2 ·x 5
Identify the fraction as proper or improper. 7 523) 4
523)
A) proper
B) improper
Add or subtract as indicated. Write the answer in simplest form. 7 5 524) 12 14 A)
19 84
B)
79 64
C)
524) 1 64
D)
38 128
Determine whether the pair of fractions is equivalent. 1 6 and 525) 2 12
525)
A) equivalent Solve. 526) x -
B) not equivalent
1 1 = 5 10
A)
3 10
526) B) -
8 25
C) -
2 15
D)
1 5
Perform the indicated operations. Write the answer in simplest form. 8 20 8 · 527) ÷ 5 9 50 A)
64 45
521)
B)
45 64
C)
88
2 9
527) D)
9 2
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
528) Fractions that have the same denominator are called A) simplest form
B) undefined
528)
fractions.
C) like
D) equivalent
Write the fraction in simplest form. 26 529) 36 A) -
13 18
529) B) -
2 18
C) -
26 36
D)
13 2
Write a fraction to represent the shaded area of the figure. 530)
A)
3 2
B)
530)
2 5
C)
3 5
D)
2 3
Write the fraction. 531) There are 60 minutes in an hour. What fraction of an hour does 13 minutes represent? 13 13 60 13 A) B) C) D) 60 100 13 3600
531)
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 1 7 532) 15 + 7 532) 2 18
A) 22
Evaluate. 533) -
7 18
B)
7 18
C) 15
7 18
1 3 8
A) C)
D) 22
8 9
533) 3 8
B)
1.759218604e+13 9.007199255e+15
3 8
D) -
89
1.759218604e+13 9.007199255e+15
Find the LCD of the list of fractions. 7 5 , 534) 30 25 A) 150
534) B) 5
C) 55
D) 750
Write the fraction as an equivalent fraction with the given denominator. 4w = 535) 7 28 A)
16 + 4w 28
B)
4w + 4 28
C)
535)
4w 28
D)
16w 28
Find the LCD of the list of fractions. 21 4 ,536) 4 s A) 4s Simplify. 537) 2 2 + A)
536) B) 4
C) 4 + s
D) -4s
1 2 2
537)
5 4
B)
17 4
C)
3 4
D)
15 4
Solve. Write the answer as a mixed number in simplest form. 4 1 3 538) Keith Wood has 30 feet of rope. He cuts off a 14 -foot length and then a 12 -foot length. If he 5 3 4
538)
now needs a 4-foot piece of rope, will the remaining piece do?
A) Yes, there is still
17 of a foot left. 60
B) No, he will be
17 of a foot short. 60
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
539) A(n)
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
is a natural number greater than 1 whose factors are 1 and itself.
A) proper fraction C) prime number
539)
B) mixed number D) composite number
Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 1 2 540) 2 + 5 540) 5 9
A) 1
23 45
B)
5 7
C) 7
90
19 45
D) 1
17 45
Write the fraction. 541) Of 120 bicycles in a bike rack, 53 are mountain bikes. What fraction of the bicycles are not mountain bikes? 120 120 67 53 A) B) C) D) 67 53 120 120
541)
The table shows the fraction of the world's surface land area taken up by each continent. Use the table to answer the question. Write your answer in simplest form.
Continent North America
Fraction of World's Surface Land Area 4 25
South America
3 25
Europe
7 100
Africa
1 5
Asia
3 10
Australia
3 50
Antarctica
9 100
542) Find the fractional part of the world's land area within the continents of North America and Europe. 23 23 11 11 A) B) C) D) 100 25 25 100 Estimate the value as a whole number or as a mixed numeral where the fractional part is
543) 47
1 . 2
26 3 ÷ 8 27 199
543) B) 5
A) 6
1 2
D) 6
C) 5
1 2
Write the improper fraction as a mixed or whole number. 34 544) 5 A) 6
4 7
542)
B) 6
544)
4 5
C) 5
91
4 5
D) 7
4 5
Write the fraction. 545) According to a recent study, 11 out of 14 visits to a hospital emergency room were for an injury. What fraction of emergency room visits were injury-related? 3 11 14 11 A) B) C) D) 11 3 11 14 Evaluate the expression for the given replacement values. Write the answer in simplest form. 12 7 ,y=546) xy for x = 7 132 A) -11
B)
5 924
C)
924 13
D) -
545)
546) 1 11
Fill in the blank with one of the words or phrases listed below. mixed number composite number prime number reciprocals
complex fraction equivalent improper fraction proper fraction
547) A(n)
like cross products simplest form
numerator prime factorization least common denominator denominator undefined 0
547)
is one whose numerator is less than its denominator.
A) improper fraction C) mixed number
B) proper fraction D) complex fraction
Determine whether the pair of fractions is equivalent. 18 20 and 548) 63 77
548)
A) equivalent
B) not equivalent
Multiply. Write the answer in simplest form. 5 549) 0 · 14 A)
14 5
B)
549)
5 14
C) 0
D) undefined
Represent the shaded area in the figure group with a mixed number. 550)
A) 1
4 5
B) 1
5 6
C) 11
550)
5 6
D) 1
1 6
Evaluate the expression for the given replacement values. Write the answer in simplest form. 10 40 for x = ,y= 551) x ÷ y 20 25 A)
16 5
B)
4 5
C)
92
5 4
D)
5 16
551)
Add or subtract as indicated. Write the answer in simplest form. 1 7 552) 15 15 A) -
8 15
B)
8 15
C)
552) 2 5
D) -
2 5
Determine whether the pair of fractions is equivalent. 7 49 and 553) 9 63
553)
A) equivalent
B) not equivalent
Add or subtract as indicated. Write the answer in simplest form. 8 4 - 554) 28 28 A)
3 7
B) -
1 7
554)
C) -
3 7
D)
1 7
Solve. Write the answer as a mixed number in simplest form. 1 3 555) A stack of 1 -inch wide pizza boxes has a height of 18 -inches. How many boxes are in the stack? 555) 4 4
18
3 4
A) 23 boxes
B) 7 boxes
C) 15 boxes
Write the prime factorization of the number. 556) 62 A) 2 · 31 B) 2 2 · 31 Evaluate. 557) -
C) 2 2
D) 18 boxes
556) D) 2 · 29
9 3 5
A) -
557) 93 5
B) -
729 125
C)
93
27 5
D) -
27 5
Represent the shaded area in the figure group with an improper fraction. 558)
A)
Solve. 559) -
1 15
B)
15 4
C)
3 4
558)
D)
15 16
3 3 7 x= 8 5 16
A)
559)
13 30
B) -
13 30
C)
13 15
D) -
13 15
The table shows the fraction of the world's surface land area taken up by each continent. Use the table to answer the question. Write your answer in simplest form.
North America
Fraction of World's Surface Land Area 16 100
South America
12 100
Europe
7 100
Africa
20 100
Asia
30 100
Australia
6 100
Antarctica
9 100
Continent
560) How much greater is the fractional part of the continent of Africa than the fractional part of the continent of South America? 8 2 1 4 A) B) C) D) 25 25 12 50 Add or subtract as indicated. Write the answer in simplest form. 7x 13x 561) 16 16 A)
3x 8
B) -
5x 4
C)
94
560)
561) 5x 4
D) -
3x 8
562)
11 7 11 11
A) 4
563)
562) B)
4 11
C)
11 4
D)
4 22
2 3 + 5 14
A)
563)
43 70
B)
43 19
C)
1 14
D)
5 19
Evaluate the expression for the given replacement values. 3 564) -11x; x = 10 A) -
33 10
B)
564)
33 10
C) -
33 110
D)
3 110
Add or subtract as indicated. Write the answer in simplest form. y 5 565) 24 6 A)
y-5 24
B)
y - 20 24
C)
565) y - 20 6
D)
1 - 20y 24
Represent the shaded area in the figure group with a mixed number. 566)
A) 3
1 4
B) 12
3 4
C) 15
566)
1 4
D) 3
3 4
Add or subtract as indicated. Write the answer in simplest form. 2 13 567) y y A)
11 y
B) -
15 y
C)
567) 15 y
Identify the fraction as proper or improper. 27 568) 34
D) -
11 y
568)
A) proper
B) improper
95
Represent the shaded area in the figure group with a mixed number. 569)
A) 1
7 8
B) 7
3 4
C) 7
1 4
569)
D) 1
3 4
Solve. Write the fraction in simplest form. 1 1 570) Saji swims mi every day. One day he had already swum mi. How much further should he 4 9 swim? 1 A) mi 5
B)
5 mi 9
C)
5 mi 36
D)
1 mi 36
Write the improper fraction as a mixed number. 41 571) 6 A) 6
5 6
B) 7
571)
5 6
C) 5
5 6
Estimate the value as a whole number or as a mixed numeral where the fractional part is
572) 96
D) 6
5 7
1 . 2
2 1 · 86 157 91
A) 8,246
1 2
572) B) 8,357
C) 8,256
D) 8,357
1 2
Write the fraction. 573) In a math class containing 43 students, there are 8 freshmen, 4 sophomores, 5 juniors, and the rest are seniors. What fraction of the class is seniors? 26 1 26 43 A) B) C) D) 55 4 43 26 Represent the shaded area in the figure group with a mixed number. 574)
A) 1
2 3
570)
B) 5
2 3
C)
96
5 3
573)
574)
D) 1
3 4
Write the improper fraction as a mixed or whole number. 214 575) 7 A) 30
4 7
B) 214
575)
7 214
C)
7 214
D) 214
214 7
Perform the indicated operation and write the answer in simplest form. 8 1 1 576) ÷ · 9 6 5 A)
4 135
B)
20 27
C)
16 15
576) D)
80 3
Solve. Write the answer as a mixed number in simplest form. 1 577) On a recent trip, Asha drove 266 miles on 10 gallons of gasoline. How many miles per gallon did 2 she average?
A) 2793 mpg
B) 1330
1 mpg 2
C) 25
1 mpg 3
D)
577)
3 mpg 76
The circle graph below shows us how an average consumer spends money. Use this information to answer the question.
578) What fraction of spending goes for the categories other and food combined? 4 11 19 A) B) C) 5 20 30
97
3 D) 10
578)
Graph the fraction on a number line. 8 579) 5
Solve. 580)
579)
A)
B)
C)
D)
x x -2= -1 4 3
A) -
1 12
580) B) - 12
C) 12
D)
1 12
Evaluate the expression for the given replacement values. Write the answer in simplest form. 1 1 1 for x = , y = , z = 581) x + yz 5 8 9 A)
Simplify. 582)
13 360
B)
1 180
C)
77 360
D)
49 40
1 2 2 · + ÷1 8 5 3
A)
43 9
581)
582) B)
43 30
C)
43 60
D)
83 78
The circle graph below shows us how an average consumer spends money. Use this information to answer the question.
583) Suppose your family spent $62,000 on the items in the graph above. How much might we expect was spent on clothing? A) $3,100.00 B) $2,712.50 C) $1,550.00 D) $2,325.00 98
583)
Simplify. 584) 1 -
2 3 11
A)
-1 1331
584) B)
1 1331
C)
729 1331
D)
1323 1331
Solve. Write the answer as a mixed number in simplest form.
3 585) The area of a rectangle is 6 square meters. If its width is 1 meters, find its length. 5
A) 3
3 m 4
B) 3
1 m 3
C) 6 m
585)
D) 3 m
Simplify the complex fraction. x 43 586) 5 1+ 7 A)
36 84 - 7x
586)
B)
84 + 7x 36
C)
84 - 7x 36
D)
77x 36
Write the mixed number as an improper fraction. 3 587) 2 5 A)
13 5
B)
587)
10 5
C)
10 3
D)
13 3
Insert < or > to form a true sentence. 11 2 588) 15 5
588)
A) >
B) <
Solve. Write the fraction in simplest form. 589) Of the fifty states in the United States, 12 have at least one mountain higher than 12,000 feet. What fraction of states do not have a mountain higher than 12,000 feet? 3 19 38 6 A) B) C) D) 4 25 50 25 Solve. 590)
17 972x 29 = 43 1,763 41
A)
23 486
589)
590) B) -2
C) -
99
23 486
D) 2
Solve. Write the fraction in simplest form. 3 1 lb of cashews. How many 591) Johanna has a - lb mixture of cashews and peanuts that includes 4 12 pounds of peanuts are in the mixture? 1 2 A) lb B) lb 4 3
C) 2 lb
D)
1 lb 6
Determine whether the statement is true or false. 592) It is possible for the sum of two fractions to be a whole number. A) True B) False Solve. Write the fraction in simplest form. 593) The outer diameter of the donut below measures
591)
592)
15 inches. What is measure of the inner diameter of 593) 8
the donut? inner diameter 3 inch 4
A) 1
Simplify. 594)
1 in. 2
9 9 7 14
B)
3 in. 8
C)
9 in. 8
D)
27 8
9 9 + 7 14
A) 0
594)
B)
243 196
C)
36 7
D)
27 28
Add or subtract as indicated. Write the answer in simplest form. 1 1 595) 7 11 A)
4 7
B)
4 77
C)
595) 1 7
D)
1 77
Divide and simplify. 3 596) -7 ÷ 5 A) -
5 21
in2 .
596) B) -
21 5
C) -
100
35 3
D) -
3 35
Simplify. 597)
1 1 1 + · 8 3 4
A)
Evaluate. 598)
5 24
597) B)
11 96
C)
1 48
D)
7 6
5 3 6
A)
598) 125 6
B)
125 216
C)
101
216 125
D) 3
5 6
Answer Key Testname: CHAPTER 4 1) D 2) D 3) C 4) C 5) B 6) B 7) C 8) D 9) A 10) C 11) B 12) B 13) D 14) B 15) C 16) C 17) A 18) D 19) A 20) A 21) D 22) D 23) A 24) C 25) B 26) A 27) B 28) D 29) D 30) B 31) D 32) D 33) D 34) A 35) B 36) C 37) B 38) B 39) A 40) D 41) D 42) A 43) D 44) D 45) C 46) A 47) A 48) C 49) C 50) D 102
Answer Key Testname: CHAPTER 4 51) B 52) B 53) D 54) C 55) A 56) C 57) D 58) A 59) C 60) C 61) C 62) C 63) C 64) A 65) D 66) D 67) A 68) C 69) A 70) A 71) C 72) A 73) B 74) D 75) B 76) D 77) D 78) B 79) B 80) C 81) B 82) B 83) B 84) A 85) D 86) A 87) B 88) C 89) A 90) A 91) D 92) A 93) B 94) C 95) D 96) D 97) B 98) C 99) D 100) B 103
Answer Key Testname: CHAPTER 4 101) A 102) C 103) D 104) A 105) D 106) B 107) D 108) C 109) B 110) C 111) B 112) D 113) A 114) B 115) A 116) A 117) D 118) D 119) D 120) D 121) D 122) B 123) A 124) D 125) A 126) C 127) C 128) D 129) D 130) B 131) D 132) B 133) A 134) D 135) D 136) B 137) A 138) C 139) B 140) C 141) B 142) B 143) B 144) D 145) C 146) C 147) C 148) A 149) C 150) A 104
Answer Key Testname: CHAPTER 4 151) A 152) B 153) A 154) B 155) A 156) B 157) B 158) D 159) A 160) D 161) D 162) D 163) C 164) C 165) D 166) C 167) D 168) B 169) C 170) C 171) D 172) A 173) B 174) B 175) D 176) D 177) B 178) A 179) D 180) D 181) B 182) B 183) A 184) B 185) D 186) C 187) B 188) A 189) D 190) D 191) B 192) A 193) C 194) D 195) D 196) A 197) D 198) D 199) A 200) D 105
Answer Key Testname: CHAPTER 4 201) A 202) B 203) D 204) D 205) A 206) D 207) C 208) B 209) C 210) B 211) C 212) A 213) D 214) D 215) A 216) D 217) C 218) A 219) D 220) D 221) C 222) B 223) D 224) B 225) A 226) C 227) C 228) D 229) A 230) A 231) A 232) C 233) C 234) A 235) B 236) D 237) D 238) D 239) A 240) C 241) D 242) A 243) A 244) B 245) C 246) B 247) C 248) A 249) C 250) C 106
Answer Key Testname: CHAPTER 4 251) D 252) C 253) D 254) D 255) C 256) C 257) D 258) B 259) D 260) A 261) C 262) B 263) A 264) D 265) D 266) B 267) C 268) A 269) B 270) B 271) B 272) A 273) C 274) A 275) C 276) D 277) C 278) C 279) C 280) C 281) B 282) D 283) B 284) A 285) D 286) C 287) A 288) D 289) A 290) D 291) B 292) D 293) C 294) A 295) B 296) A 297) B 298) B 299) D 300) D 107
Answer Key Testname: CHAPTER 4 301) C 302) C 303) C 304) A 305) B 306) B 307) B 308) C 309) B 310) A 311) D 312) C 313) A 314) B 315) A 316) B 317) C 318) D 319) C 320) D 321) C 322) C 323) B 324) B 325) B 326) A 327) C 328) B 329) A 330) C 331) C 332) D 333) A 334) D 335) B 336) A 337) B 338) D 339) C 340) A 341) C 342) C 343) D 344) D 345) C 346) A 347) C 348) D 349) C 350) D 108
Answer Key Testname: CHAPTER 4 351) D 352) D 353) D 354) A 355) B 356) C 357) B 358) D 359) D 360) D 361) A 362) A 363) B 364) B 365) B 366) C 367) D 368) D 369) C 370) B 371) B 372) D 373) C 374) D 375) B 376) B 377) D 378) B 379) B 380) C 381) B 382) C 383) C 384) A 385) A 386) C 387) A 388) D 389) B 390) A 391) D 392) C 393) A 394) D 395) D 396) C 397) B 398) C 399) A 400) C 109
Answer Key Testname: CHAPTER 4 401) A 402) B 403) A 404) B 405) B 406) B 407) D 408) C 409) B 410) D 411) C 412) A 413) B 414) A 415) C 416) A 417) A 418) D 419) B 420) A 421) D 422) A 423) D 424) B 425) A 426) C 427) A 428) C 429) B 430) A 431) A 432) B 433) B 434) D 435) D 436) C 437) A 438) C 439) D 440) C 441) B 442) A 443) D 444) C 445) D 446) A 447) B 448) D 449) A 450) D 110
Answer Key Testname: CHAPTER 4 451) C 452) A 453) A 454) D 455) A 456) C 457) B 458) B 459) C 460) D 461) B 462) A 463) A 464) B 465) A 466) A 467) B 468) D 469) D 470) C 471) D 472) D 473) D 474) D 475) D 476) B 477) C 478) A 479) D 480) C 481) B 482) A 483) D 484) B 485) A 486) C 487) D 488) B 489) A 490) B 491) A 492) A 493) B 494) C 495) D 496) A 497) C 498) D 499) D 500) C 111
Answer Key Testname: CHAPTER 4 501) A 502) D 503) C 504) B 505) D 506) A 507) D 508) B 509) A 510) A 511) A 512) C 513) C 514) D 515) D 516) B 517) B 518) C 519) A 520) A 521) D 522) B 523) B 524) A 525) A 526) A 527) D 528) C 529) A 530) C 531) A 532) D 533) D 534) A 535) D 536) A 537) B 538) B 539) C 540) C 541) C 542) A 543) A 544) B 545) D 546) D 547) B 548) B 549) C 550) B 112
Answer Key Testname: CHAPTER 4 551) D 552) D 553) A 554) B 555) C 556) A 557) B 558) B 559) B 560) B 561) D 562) B 563) A 564) B 565) B 566) D 567) D 568) A 569) D 570) C 571) A 572) C 573) C 574) A 575) A 576) C 577) C 578) D 579) A 580) B 581) C 582) C 583) A 584) C 585) A 586) C 587) A 588) B 589) B 590) D 591) B 592) A 593) B 594) B 595) B 596) C 597) A 598) B
113
Chapter 5 Exam Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. The table gives the winner of the weekly gymnastics competition for the first eight weeks of the season. Week 1 2 3 4 5 6 7 8
Last Name, Initial Smith, A Davis, M Wilson, K Moseley, R Smith, A Smith, A Wilson, K Davis, M
Average Score 38.200 39.115 37.625 38.221 39.085 38.675 38.895 39.975
1) Make a list of the leading averages in order from greatest to least for the weeks shown.
1)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Round the decimal to the given place value. 2) 73.9, nearest ten A) 73.9 B) 71
C) 70
D) 69
Write the decimal number in standard form. 3) Eight and seventeen hundredths A) 8.0017 B) 8.17
C) 817
D) 8.017
Arrange the list of numbers in order from smallest to largest. 2 4 3 4) , , , 0.95 3 5 4 A)
3 2 4 , , , 0.95 4 3 5
Multiply. 5) (7.4)(100) A) 7,400 Solve.
B)
2 3 4 , , , 0.95 3 4 5
C) 740
4 3 2 , , 5 4 3
D)
4 3 2 , , , 0.95 5 4 3
D) 7.40000
6) Maria is planning a border for her triangular-shaped garden. One side of the garden is 12.7 feet long, another side is 15.5 feet long, and the third side is 26.1 feet long. Find the amount of border material needed. A) 54.2 ft B) 53.3 ft C) 54.3 ft D) 55.3 ft
1
3)
4) C) 0.95,
B) 0.074
2)
5)
6)
Estimate the product by rounding. 7) 4.0084 × 9.6 A) 36
7)
B) 40
C) 50
D) 45
Write the fraction as a decimal. If necessary, use repeating decimal notation. 5 8) -1 20 A) -1.25
B) -1.25
C) -1.25
8) D) -1.255
Estimate the sum or difference by rounding. 9) 104.62 8.25 + 9.009 A) 122
9)
B) 100
C) 117
D) 121
Find the area of the triangle or rectangle. Round to the nearest thousandth, if necessary. 3 yd 10) 5
10)
0.80 yd
A) 0.48 sq. yd
B) 0.462 sq. yd
C) 2.8 sq. yd
Round the decimal to the given place value. 11) 3.13003, nearest thousandth A) 3.130 B) 3.03
C) 3.13003
Write the decimal number in standard form. 12) Fourteen and seven hundred forty-seven thousandths A) 14.0747 B) 14,747 C) 14.747 Solve.
D) 1.4 sq. yd
D) 3.23
D) 0.14747
13) Find the area.
12)
13)
1.2 miles
5.2 miles
A) 624 sq mi
11)
B) 62.4 sq mi
C) 3.12 sq mi
2
D) 0.624 sq mi
Insert <, >, or = between the pair of numbers to form a true statement. 14) 0.726 _____ 0.796 A) = B) < Solve.
14)
C) >
15) Find the total distance from Fall City to Scottsville.
15)
17.5 miles 14.3 miles
24.6 miles
A) 31.8 mi
B) 56.4 mi
C) 59.6 mi
D) 42.1 mi
Insert <, >, or = between the pair of numbers to form a true statement. 23 2.554 16) 9 A) <
B) =
16) C) >
Solve the equation. 17) -0.7x + 1.15 = -0.4x + 2.35 A) -10.909
B) 4
C) -4
D) -36.364
Multiply. 18) (-6.3)(-8.41) A) 5.2983
B) 52.983
C) 529.83
D) 0.52983
Simplify the expression. 19) -3.2(7 - 6.8) A) -29.2
B) -0.74
C) -29.3
D) -0.64
Solve.
20) A clothing store has a shirt on sale for $25.35. Round this value to the nearest dollar. A) $25.35 B) $25 C) $25.0 D) $26
Divide. 21) 48 ÷ (0.08) A) 6,000
B) 60,000
C) 60
D) 600
Perform the indicated operation. Round the result to the nearest thousandth if necessary. 22) 9.2 × 4.94 A) 45.448 B) 14.14 C) 36.248 D) 4.26
3
17)
18)
19)
20)
21)
22)
Multiply. 23) (18.13)(0.0012) A) 0.031756
B) 0.011756
C) 0.121756
D) 0.021756
Divide. 24) 1.94 ÷ 5 A) 0.0388
B) 0.288
C) 0.388
D) 0.0288
25) 0.96 ÷ (-10) A) 96
B) -9.6
C) -0.0096
D) -0.096
Perform the indicated operation. Round the result to the nearest thousandth if necessary. 26) 9.92 - 28.15 A) -18.23 B) -8.23 C) 38.07 D) 18.23
23)
24)
25)
26)
Fill in the blank with one of the choices listed below. Some choices may be used more than once. vertically standard form sum
decimal mean denominator
27) The
and median numerator
right triangle circumference mode
of a set of numbers in numerical order is the middle number. If there are an
even number of numbers, the median is the
A) mean; median Find the mode or modes (if any). 28) 5, 9, 46, 3, 2, 8, 92, 1, 4, 16 A) 18
27)
of the two middle numbers.
B) mean; mode
C) median; mean
D) median; mode
B) 9
C) 8
D) no mode
B) 9.07
C) 1.907
D) 0.907
C) -9.4
D) -8.6
28)
Divide. 29) 16 14.512 A) 19.07
Evaluate the expression for the given replacement values. 30) x - y for x = 9, y = -0.4 A) 8.6 B) 9.4
Determine whether the given value is a solution to the given equation. 31) Is 16.7 a solution of -4x = -66.8? A) No B) Yes Perform the indicated operation. 32) 23.45 + 55.44 + 33.317 A) 112.217
B) 112.207
Write the decimal number in standard form. 33) Six and five hundred sixteen ten-thousandths A) 0.60516 B) 6.00516
4
29)
30)
31)
C) 112.307
D) 113.207
C) 6.0516
D) 6.516
32)
33)
Divide. 34) -6.85 ÷ (-100) A) 0.0685
B) 0.00685
C) 68,500
D) 6,850
34)
Fill in the blank with one of the choices listed below. Some choices may be used more than once. vertically standard form sum
35) The
decimal mean denominator
and median numerator
of a list of numbers of items is
right triangle circumference mode
sum of items . number of items
35)
A) mean
B) mode
C) median
D) numerator
Perform the indicated operation. 36) -5.2 - (1.9) A) 7.1
B) -50.1
C) -3.3
D) 3.3
Find the grade point average. If necessary, round to the nearest hundredth. 37) Grade Credit Hours A 4 B 3 C 3 A 3 A 1 A) 3.14
B) 3.57
C) 3.36
37)
D) 3.00
Write the fraction as a decimal. If necessary, use repeating decimal notation. 15 38) 20 A) -0.75 Solve the equation. 39) 5(x - 1.9) = 9.3 A) 1.48
36)
38)
B) -0.755
C) -0.75
D) -0.75
B) 18.8
C) 2.24
D) 3.76
39)
The bar graph shows the times it took five men to run a mile. Use the table to answer the question.
40) Randy ran a mile in how much less time than Graham ran a mile? A) 0.66 min B) 0.36 min C) 1.13 min
5
D) 0.56 min
40)
Divide, and round the quotient as indicated. 41) Divide 1.82 by 0.029 and round the quotient to the nearest hundredth. A) 6.28 B) 63.26 C) 62.76 Find the mean, median, and mode of the list of numbers. 42) 8, 10, 17, 17, 15, 11, 11, 13 A) mean: 12.75; median: 13; mode: 14 C) mean: 12.75; median: 12; mode: 11 and 17 Solve.
B) mean: 12; median: 12.75; no mode D) mean: 9.25; median: 16; no mode
43) A clothing store has a shirt on sale for $17.69. Round this value to the nearest dollar. A) $17.69 B) $17.0 C) $17 D) $18
Round the money amount to the nearest cent or dollar as indicated. 44) $4999.63, nearest dollar A) $5000 B) $5 C) $4000 Solve.
D) 6.33
D) $4999.6
45) There are approximately 2.54 centimeters in 1 inch. How many inches are there in 110 centimeters? (Round to the nearest hundredth.) A) 43.31 in. B) 0.02 in. C) 433.07 in. D) 2.31 in.
Multiply. 46)
B) 175.1
C) 174.11
Write the decimal as a fraction or mixed number in lowest terms. 47) -0.066 33 1 33 A) B) C) 500 4,356 50
43)
44)
45)
D) 30.7
1 D) 66
Determine whether the given value is a solution to the given equation. 48) Is 17.8 a solution to 28.6 - z = 11.8? A) Yes B) No Round the decimal to the given place value. 49) 1.301, nearest hundredth A) 1.31 B) 1.30
C) 1.301
B) -0.38
C) -0.48
6
47)
48)
D) 1.29
Write the fraction as a decimal. If necessary, use repeating decimal notation. 12 50) 25 A) -0.68
42)
46)
23.2 × 7.5
A) 174
41)
49)
50) D) -0.58
Perform the indicated operation. Round the result to the nearest thousandth if necessary. 51) 2.283 + 4.12 + 10.235 A) -3.832 B) 17.565 C) 16.638 D) 8.398 Simplify the expression. 0.7 - 4.9 52) -2 A) -5.25
52) B) 2.1
Find the mode or modes (if any). 53) 1.4, 0.5, 0.7, 1.4, 0.3, 1.6, 0.3, 1.7, 2.1 A) 0.3 B) 1.4
C) -21
D) 0.21
C) 0.3 and 1.4
D) 1.1
Insert <, >, or = between the pair of numbers to form a true statement. -0.00957 54) -0.00975 A) = Solve.
B) >
53)
54) C) <
55) Karl earns $8.67 per hour at his job. He worked 16 hours last week. Calculate Karl's pay before taxes. A) $140.00 B) $138.72 C) $138.80 D) $139.41
Solve the equation. 56) -10.4 = -2.6x A) 7.8
51)
B) 4.0
C) -7.8
Arrange the list of numbers in order from smallest to largest. 57) 0.063, 0.036, 0.033, 0.066 A) 0.033, 0.036, 0.063, 0.066 C) 0.033, 0.066, 0.036, 0.063
D) 2.0
B) 0.033, 0.063, 0.036, 0.066 D) 0.066, 0.063, 0.036, 0.033
55)
56)
57)
Divide. 58) 6.0 24 A) 0.4
B) 4.0
C) 5
D) 40
B) 1.59
C) 2.31
D) -1.59
58)
Simplify.
59) (-0.6)2 + 1.95 A) 0.75
Write the decimal in words. 60) 9.5 A) nine and five millionths C) nine and five tenths
B) nine and five thousandths D) nine and five hundredths
7
59)
60)
Fill in the blank with one of the choices listed below. Some choices may be used more than once. vertically standard form sum
decimal mean denominator
and median numerator
right triangle circumference mode
61) When writing decimals in words, write " A) and
61)
" for the decimal point.
B) mean
C) sum
D) mode
Determine whether the given value is a solution to the given equation. 62) Is 8.3 a solution of 0.8x = 6.4240001? A) Yes B) No
62)
Solve. If necessary, round answers to the nearest hundredth. 63) The following test scores were recorded for a student: 80, 77, 75, 74, 83, 79. Find the mean, median, and mode. A) mean: 79 median: none mode: 83 B) mean: 78 median: 74 mode: 83 C) mean: 77 median: none mode: none D) mean: 78 median: 78 mode: none Multiply. 64) (0.07)(0.08) A) 0.0056 Solve.
C) 0.000056
64)
65)
66) One week in May in the town of Greenleaf, it rained 2.29 inches on Monday, 0.82 inches on Thursday, and 1.35 inches on Friday. It did not rain the other four days. What was the total rainfall for the week? A) 4.44 in. B) 4.36 in. C) 4.26 in. D) 4.46 in.
66)
B) -200
C) -2
D) -0.2
68) A circular firepit has a diameter of 27 inches. Approximate the circumference of this firepit and of a firepit whose diameter is doubled. (Use 3.14 for .) A) 21.33 in. and 84.78 in. B) 84.78 in. and 339.12 in. C) 169.56 in. and 339.12 in. D) 84.78 in. and 169.56 in
Evaluate the expression for the given replacement values. 69) xy for x = 5, y = -2.7 A) 13.5 B) -135 Solve.
D) 0.56
65) A farmer sells 9,000 bushels of tomatoes for $3.10 a bushel. How much did the farmer receive? A) $27,000.00 B) $27,900.00 C) $2,700.00 D) $2,790.00
Divide. 67) Divide -4 by 0.02 A) -20 Solve.
B) 0.056
63)
C) 135
D) -13.5
70) In one week, Sunil worked 31.5 hours washing windows and earned $246.50, including tips. How much did Sunil earn per hour? (Round to the nearest cent if necessary.) A) $7.83 B) $7.93 C) $7.85 D) $7.81 8
67)
68)
69)
70)
Divide. 71) 4 1.6 A) 14
B) 4
C) 0.4
D) 1.4
Determine whether the given value is a solution to the given equation. x 72) = 67.8; x = 54.24 8 A) Yes
72)
B) No
73) Is 3 a solution to x + 6.1 = 9.5? A) Yes
75) -0.98 _____ -0.92 A) >
73)
B) No
Insert <, >, or = between the pair of numbers to form a true statement. 74) -0.79100 _____ -0.791 A) > B) =
Perform the indicated operation. 76) 95.46 + 3.394 + 9.251 + 6.39 A) 114.505
71)
B) =
74)
C) <
75)
C) <
B) 114.595
C) 115.495
D) 114.495
76)
Perform the indicated operation. Round the result to the nearest thousandth if necessary. 77) (-0.00882) ÷ (-0.58) A) 65.76 B) -0.015 C) 0.015 D) 0.005
77)
Solve the equation. 78) x + 2.4 = 8.3 A) 3.458
78)
B) 5.9
C) 10.7
D) -5.9
Write the decimal as indicated. 79) 49.096, in words A) Forty-nine and ninety-six ten-thousandths B) Forty-nine and ninety-six thousandths C) Forty-nine and ninety-six hundredths D) Forty-nine and ninety-six tenths
79)
Determine whether the given value is a solution to the given equation. 80) Is 3 a solution to x + 5.2 = 8.1? A) Yes B) No Multiply. 81) (-18.0)(-9.4) A) 1,692
B) 16.92
80)
C) 169.2
Insert <, >, or = between the pair of numbers to form a true statement. 82) 0.439 _____ 0.429 A) = B) > 9
D) 1.692
C) <
81)
82)
Find the mode or modes (if any). 83) 20, 43, 46, 43, 49, 43, 49 A) 49
B) 41.9
C) 43
D) 46
Divide. 84) 1.5 ÷ -2 A) -0.65
B) -0.75
C) -0.075
D) -0.065
Perform the indicated operation. 85) (4.0) + (-3.2) A) 7.2
B) 0.8
C) -0.8
D) -7.2
Write the decimal as indicated. 86) Eight thousand and forty-nine thousandths, in standard form A) 8000.49 B) 8000.0049 C) 800.049
D) 8000.049
83)
84)
85)
86)
Solve the equation by first multiplying both sides through by an appropriate power of 10 so that the equation contains integers only. 87) 1.8x - 3 - 1.3x = 16.5 87) A) 6.29 B) 3.9 C) 39 D) 33.6
Determine whether the given value is a solution to the given equation. 88) Is 20 a solution to 35.1 - y = 15.1? A) Yes B) No Perform the indicated operation. 89) Subtract 38 from 60.61 A) 22.61 90)
B) 98.61
C) 22.71
D) 23.11
89)
90)
40.090 - 18.322
A) 23.000
B) 21.768
C) 21.772
Write the decimal in words. 91) The distance from John's house to Ted's is 0.7 mile. A) seven tenths C) seven thousandths
D) 21.778
B) seven ten-thousandths D) seven hundredths
Write the decimal number in standard form. 92) Negative fifteen and nine hundred ninety-seven thousandths A) -15.997 B) -15.501,000 C) -15.0997 Solve.
88)
D) -15,000.501
93) Phillip bought a video for $38.63. If he paid with two $20 bills, what was his change? A) $2.00 B) $1.47 C) $1.37 D) $2.37
10
91)
92)
93)
Find the mean. If necessary, round to one decimal place. 94) 1.1, 0.5, 0.7, 1.1, 0.3, 1.3, 0.3, 1.4, 1.8 A) 8.5 B) 0.9
C) 1
D) 0.8
Round the decimal to the indicated place value. 95) 36.4522, nearest thousandth A) 36.45 B) 36.451
C) 36.452
D) 36.453
Write the decimal in words. 96) 9.664 A) nine and six hundred sixty-four millionths B) nine and six hundred sixty-four tenths C) nine and six hundred sixty-four hundredths D) nine and six hundred sixty-four thousandths
D) $0.08
Write the decimal as a fraction or mixed number in lowest terms. 98) -17.3714 36857 7 93 A) -1 B) -1737 C) -17 50000 50 250
1857 D) -17 5000
Find the median. If necessary, round to one decimal place. 99) 10, 7, 28, 11, 49, 34, 30 A) 28 B) 30
C) 11
D) 24.6
Find the mean. If necessary, round to one decimal place. 100) 12, 20, 13, 3, 13, 5, 5, 1 A) 9 B) 13
C) 8
D) 10.3
101)
44.19 10
A) 0.04419
97)
98)
99)
100)
101) B) 4,419
C) 441.9
D) 4.419
Perform the indicated operation. 102) 3.195 14.821 + 155.340 A) 173.346
95)
96)
Round the money amount to the nearest cent or dollar as indicated. 97) $0.07767, nearest cent A) $1.00 B) $0.07 C) $0.00
Divide.
94)
102)
B) 173.256
C) 173.246
D) 173.356
Solve. 103) Tom buys $15.85 worth of gasoline for his car. If the gas station charges $1.359 per gallon, how many gallons did he get? (Round to the nearest tenth.) A) 0.9 gal B) 0.1 gal C) 11.7 gal D) 1.2 gal
11
103)
Evaluate the expression for the given replacement values. 104) x ÷ y for x = 107.8, y = 9.8 A) 0.091 B) 0.909
C) 110
D) 11
Insert <, >, or = between the pair of numbers to form a true statement. 18.6060 105) 18.0606 A) = Solve the equation. 106) 5(3x - 0.2) = 3x - 1 A) 12
B) >
105) C) <
B) 0.167
C) 0
D) -0.067
Write the fraction as a decimal. If necessary, use repeating decimal notation. 44 107) 125 A) 0.353
C) 0.342
D) 0.352
Find the mode or modes (if any). 108) 7.37, 7.41, 7.56, 7.37, 7.88, 7.99, 7.62 A) 7.41 B) 7.37
C) 7.56
D) 7.6
B) 0.056685
Evaluate the expression for the given replacement values. 110) 4.8 ÷ x for x = 76.8 A) -0.375 B) 0.0625
C) 0.56684998
D) 566,849.98
C) 0.00625
D) -0.0375
Write the words for the dollar amount as you would on a check. 111) $875.66 66 dollars A) Eight hundred seventy-five and 100 B) Eight hundred seventy-five dollars and C) Eight hundred and seventy-five and
106)
107)
B) 0.452
Divide. 109) 566.84998 ÷ 1,000 A) 5,668,499.8
104)
108)
109)
110)
111)
66 cents 100
66 dollars 100
D) Eight hundred seventy-five dollars and
66 100
Arrange the list of numbers in order from smallest to largest. 112) 2.853, 2.538, 2.583, 2.358 A) 2.358, 2.583, 2.538, 2.853 C) 2.358, 2.538, 2.583, 2.853
B) 2.853, 2.538, 2.583, 2.358 D) 2.853, 2.583, 2.538, 2.358
Simplify by combining like terms. 113) 9.7 - 6.8x - 9.8x + 15.5 A) 8.59999981x C) -16.6x + 25.1999998
B) -17.6x + 25.1999998 D) -16.6x - 5.80000019 12
112)
113)
Evaluate the expression for the given replacement values. for y = -1.3 114) y2 A) -16.9
B) 1.69
C) -1.69
D) -2.6
Find the mean. If necessary, round to one decimal place. 115) 15, 10, 7, 10, 8, 1, 7 A) 8.3 B) 7.8
C) 9.8
D) 9.7
Write the decimal number in standard form. 116) Ten and six tenths A) 0.106 B) 10.6
C) 1.6
D) 0.16
Multiply. 117) (809.83)(-0.01) A) 8.0983002
B) -0.80983
C) -8.0983002
D) 0.80983002
Simplify the expression. 118) (8.3 + 7.5)(9.9 - 2.8) A) 112.18
B) 79.75
C) 153.62
D) 200.66
Solve. 119) The nutrition chart on a bag of flavored potato chips says that each serving contains 2.8 grams of sodium. The chart also says that there are 5 servings in the bag. How many grams of sodium are in the entire bag of potato chips? A) 7.8 g B) 13.8 g C) 13 g D) 14 g Find the median. If necessary, round to one decimal place. 120) 3, 7, 17, 25, 37, 45, 50 A) 25 B) 37
C) 17
D) 26.8
Simplify the expression. 121) (8.4)(1,000) - (8.4)(100) A) 8,316
C) 7,560
D) 0
B) 900
Solve. 122) The water in a tank weighs 945.84999 lb. One cubic foot of water weighs 62.5 lb. How many cubic feet of water are in the tank? (Round to the nearest hundredth.) A) 59,115.62 cu. ft B) 1,008.35 cu. ft C) 15.13 cu. ft D) 0.07 cu. ft Evaluate the expression for the given replacement values. 123) yz for y = -0.3, z = 4.8 A) 1.44 B) -1.44
C) -14.4
D) 14.4
Round the decimal to the given place value. 124) 82.2290, nearest hundredth A) 82.23 B) 82.2290
C) 82.33
D) 82.13
13
114)
115)
116)
117)
118)
119)
120)
121)
122)
123)
124)
Estimate the sum or difference by rounding. 125) 203.23 9.98 + 54.46 A) 260
125)
B) 267
Evaluate the expression for the given replacement values. 126) y + x for x = 5.2, y = 9 A) 14.2 B) 6.1
C) 250
D) 268
C) 14.3
D) 3.8
Divide, and round the quotient as indicated. 127) Divide 4.466 by 2.3 and round the quotient to the nearest hundredth. A) 0.19 B) 2.44 C) 0.24 Multiply. 128)
D) 1.94
B) 1
Write the decimal number in standard form. 129) Fifty-six hundredths A) 0.056 B) 0.56 Multiply. 130) 5.1 × 1,000 A) 0.0051
127)
128)
0.05 × 0.2
A) 0.001
126)
B) 51,000
C) 0.01
D) 0.1
C) 50.6
D) 56
C) 5.100
Write the decimal as a fraction or mixed number in lowest terms. 131) 0.58 29 1 1 A) B) C) 50 3,364 58
D) 5,100
29 D) 500
Write the fraction as a decimal. If necessary, use repeating decimal notation. 132) Millie has a new sewing machine that will automatically set the seam allowance guide, but it must be entered as a decimal. Millie's pattern only gives the seam allowances as fractions. If the pattern 1 gives the seam allowance as -inch, what number should Millie enter into the sewing machine? 2 Round to the nearest thousandth, if necessary. A) 0.05 B) 0.5
C) 4.8
Determine whether the given value is a solution to the given equation. 133) Is 0.06 a solution of 4.5x = 2.7? A) Yes B) No
14
129)
130)
131)
132)
D) 2
133)
Fill in the blank with one of the choices listed below. Some choices may be used more than once. vertically standard form sum
decimal mean denominator
and median numerator
right triangle circumference mode
134) When 2 million is written as 2,000,000, we say it is written in A) right triangle Multiply. 135)
B) vertically
C) circumference
134)
.
D) standard form
135)
0.0076 × 4.2
A) 0.003192
B) 0.3192
C) 0.0003192
D) 0.03192
Simplify the expression. -6 - 0.4 136) -0.8 A) 8
136) B) 0.8
C) -5.5
D) 7.1
Find the mean. If necessary, round to one decimal place. 137) 4, 6, 9, 5, 13, 10 A) 9.4 B) 7.8
C) 8.3
D) 6.3
Divide. 138) Divide 44 by -0.0008 A) -0.8
B) -27,500
C) -5,500
D) -55,000
Perform the indicated operation. 139) 446.4 + 0.26 + 94.02 + 72.9 A) 613.58
B) 614.58
C) 613.68
D) 613.59
Find the value of the expression. Give the result as a decimal. 67 - 2(67) 140) 2 A) -11.4
B) -12.9
C) -10.05
C) 0.4375
15
139)
D) -12.2
63 D) 125
Write the fraction as a decimal. If necessary, use repeating decimal notation. 7 142) 16 B) 0.4375
138)
140)
Write the decimal as a fraction or mixed number in simplest form. 141) 0.504 1 1 63 A) B) C) 254,016 504 12
A) 0.4375
137)
141)
142) D) 0.4375
Round the decimal to the given place value. 143) 1.491, nearest tenth A) 1.491 B) 1.4
C) 1.5
143)
D) 1.6
Perform the indicated operation. 144) 6.31 - 3.96 A) 2.35
144)
B) 3
C) 3.35
Insert <, >, or = between the pair of numbers to form a true statement. 145) 406.140 _____ 406.104 A) < B) =
D) 2.45
145)
C) >
Write the fraction as a decimal. If necessary, use repeating decimal notation. 2 146) 11 A) 0.181
B) 0.18
146)
C) 0.18
D) 0.18000001
Write the decimal as a fraction or mixed number in simplest form. 147) -28.41 841 41 A) -2,841 B) -2 C) -28 1000 100
D) -284
1 10
Insert <, >, or = between the pair of numbers to form a true statement. 61 _____ 7.625 148) 8 A) > 149) 0.500 _____
B) =
147)
148) C) <
41 81
149)
A) >
B) <
C) =
Solve. 150) Find the exact circumference of the circle. Then use the approximation 3.14 for the circumference.
9 miles
A) 9 mi, 28.26 mi C) 18 mi, 56.7 mi
B) 81 mi, 254.34 mi D) 18 mi, 56.52 mi
16
and approximate
150)
151) A country reports total exports of $8,641 million last year. Write this number using standard notation. A) $8,641 B) $8,641,000,000 C) $8,641,000,000,000 D) $8,641,000 Find the median. If necessary, round to one decimal place. 152) 46, 11, 8, 7, 22, 11, 28, 37, 38, 30 A) 23.8 B) 28
C) 22
D) 25
Round the decimal to the given place value. 153) 5.86, nearest tenth A) 5.86 B) 6
C) 5.9
D) 5.8
Evaluate the expression for the given replacement values. 154) x + y - z for x = 4.7, y = 9, z = 0.75 A) 14.45 B) -5.05
C) 12.85
D) 12.95
Solve the equation. 155) 6x - 25.2 = 2x + 6 A) 1.282
C) 7.8
D) 0.128
B) 7.7
Solve. 156) In a track meet, Jake runs 400 meters in 57.1 seconds. What was his average speed in meters per second? (Round to the nearest tenth.) A) 0.1 m/s B) 1.4 m/s C) 7 m/s D) 70.1 m/s Write the fraction as a decimal. If necessary, use repeating decimal notation. 1 157) Prof. Al-Badul calculated that of her students passed their college algebra exam. Write this 2 fraction as a decimal, rounding to the nearest thousandth if necessary. A) 20 B) 2 C) 0.5
Simplify by combining like terms. 158) -14.7 + 6.1x - 11.6 - 4.6x A) 2.5x - 26.3000002 C) 1.5x - 3.09999943
B) 1.8
C) 1.6
D) $40
154)
155)
156)
157)
159)
160) D) 2
Perform the indicated operation. Round the result to the nearest thousandth if necessary. 161) -48.76 - 3.27 A) -51.03 B) 45.49 C) -52.03 D) -45.49
17
153)
158)
Write the fraction as a decimal. If necessary, use repeating decimal notation. 9 160) 5 A) 0.56
152)
D) 5
B) -1.5999994x D) 1.5x - 26.3000002
Round the money amount to the nearest cent or dollar as indicated. 159) $32.56, nearest dollar A) $32.6 B) $32 C) $33
151)
161)
Write the decimal as a fraction or mixed number in lowest terms. 162) 50.562 50,562 50.562 141 A) B) C) 50 1000 1000 250 Find the circumference of the circle. Then use the approximation 3.14 for 163)
281 D) 50 500
162)
and approximate the circumference. 163)
9 yd
A) 58.32 yd Divide. 164) 1.5 ÷ 0.3 A) 50
B) 56.52 yd
C) 29.16 yd
D) 28.26 yd
B) 1.2
C) 12
D) 5
Arrange the list of numbers in order from smallest to largest. 5 4 165) 1.25, 1 , 1.52, 1 8 9
164)
165)
4 5 A) 1.25, 1 , 1.52, 1 9 8
4 5 B) 1.25, 1.52, 1 , 1 9 8
4 5 C) 1 , 1 , 1.25, 1.52 9 8
5 4 D) 1 , 1.52, 1 , 1.25 8 9
Write the fraction as a decimal. If necessary, use repeating decimal notation. 4 of them don't like broccoli. Write this 166) An organization surveys its members and finds that 29 fraction as a decimal. Round to the nearest thousandth, if necessary. A) 0.138 B) 0.625 C) 0.038
166)
D) 0.725
Divide. 167) 9 134.1 A) 125.1
B) 29.8
C) 14.9
D) 0.07
Multiply. 168) (-5.394)(100) A) 539.4
B) -539.4
C) 0.05394
D) -5,394
169) (-4.597)(-0.1) A) 0.04597
B) 45.97
C) -0.4597
D) 0.4597
Evaluate the expression for the given replacement values. 170) 2y - z for y = 0.8, z = 3.2 A) 4.8 B) 5.6
C) 2.4
18
D) -1.6
167)
168)
169)
170)
Arrange the list of numbers in order from smallest to largest. 171) 5.13, 4.78, 4.87, 5.31 A) 4.87, 4.78, 5.31, 5.13 C) 5.31, 5.13, 4.87, 4.78
171)
B) 4.78, 4.87, 5.13, 5.31 D) 4.78, 5.13, 4.87, 5.31
Write the decimal as a fraction or mixed number in lowest terms. 172) 0.224 28 1 1 A) B) C) 125 50,176 224
28 D) 12
Simplify. 173) 2.7x - 3.6 - 1.4x - 9.8 A) -12.1x
B) 1.3x - 13.4
C) 1.3x + 6.2
D) 4.1x - 35.28
Perform the indicated operation. 174) 7.657 + (-7.139) A) -14.696
B) -0.518
C) 0.518
D) -14.796
Find the mean, median, and mode of the list of numbers. 175) 23, 32, 41, 42, 50 A) mean: 41; median: 42; no mode C) mean: 37.6; median: 41; no mode
B) mean: 37.6; median: 41.5; mode: 41 D) mean: 37.6; no median; mode: 36.5
Write the fraction as a decimal. If necessary, round to the nearest thousandth. 11 176) 15 A) 0.734
B) 0.732
172)
173)
174)
175)
176)
C) 0.733
D) 0.333
Determine whether the given value is a solution to the given equation. 177) Is 6 a solution of 3.5x = 21? A) Yes B) No
177)
Insert <, >, or = between the pair of numbers to form a true statement. 178) 0.15 _____ 0.18 A) < B) =
178)
Round the money amount to the nearest cent or dollar as indicated. 179) $1.379, nearest cent A) $1.4 B) $1.37 C) $1
C) >
D) $1.38
Write the fraction as a decimal. If necessary, use repeating decimal notation. 65 180) 20 A) 3.25 Divide. 181)
C) 3.25
B) 3.25
180) D) 3.255
0.54 1000
A) 0.054
179)
181) B) 0.00054
C) 54 19
D) 5.4
Solve. If necessary, round answers to the nearest hundredth. 182) The following test scores were recorded for a student: 98, 90, 86, 86, 98, 100. Find the mean, median, and mode. A) mean: 93 median: 94 mode: 86 and 98 B) mean: 93 median: 86 mode: 100 C) mean: 94 median: 93 mode: 98 D) mean: 94 median: 94 mode: 86 Find the circumference of the circle. Then use the approximation 3.14 for 183)
182)
and approximate the circumference. 183)
9.5 m
A) 59.66 m Multiply. 184) (9.17)(6.59) A) 60.4303
B) 57.76 m
C) 28.88 m
B) 604.303
C) 0.604303
Arrange the list of numbers in order from smallest to largest. 185) 0.09, 0.02, 0.029, 0.092 A) 0.02, 0.09, 0.029, 0.092 C) 0.02, 0.029, 0.09, 0.092 Multiply. 186)
D) 29.83 m
D) 6.04303
185)
B) 0.029, 0.092, 0.02, 0.09 D) 0.092, 0.029, 0.09, 0.02
186)
0.104 × 0.3
A) 0.0312
184)
B) 0.000312
C) 3.12
Evaluate the expression for the given replacement values. 187) y - x + zfor x = 4.9, y = 8, z = 0.56 A) -2.54 B) 3.66
C) 3.56
Write the decimal in words. 188) 286.18 A) two hundred eighty-six and eighteen thousandths B) two hundred eighty-six and eighteen hundredths C) two hundred and eighty-six and eighteen tenths D) two hundred and eighty-six and eighteen hundredths
20
D) 0.312
D) 2.54
187)
188)
Fill in the blank with one of the choices listed below. Some choices may be used more than once. vertically standard form sum
decimal mean denominator
and median numerator
right triangle circumference mode
189) The distance around a circle is called the A) numerator
189)
.
B) mean
C) median
D) circumference
Solve. 190) A swimmer swims the 200m butterfly in 2.20529 minutes. Round her time to the nearest hundredth. A) 2.22 minutes B) 2.21 minutes C) 2.20 minutes D) 2.205 minutes 191) Some desert areas get only 8-10 inches of rainfall per year (365 days). If in one year the rainfall was 8.58 inches, what was the average daily rainfall for that year? (Round to the nearest thousandth.) A) 0.236 in. B) 0.235 in. C) 0.025 in. D) 0.024 in. Perform the indicated operation. 192) 15.53 - 13.262 A) 29.792
B) 2.368
C) 28.792
D) 2.268
Solve. 193) Last year, Pati's average electricity bill was $166.39. In October, her electricity bill was $197.94. How much more than last year's average was the October bill? A) $41.55 B) $31.55 C) $31.45 D) $32.55 Simplify the expression. 194) (-3.8)2 + 4.6 - 9.7 A) 9.34
B) -1.3
C) 1.69
D) 2.5
190)
191)
192)
193)
194)
Solve. If necessary, round answers to the nearest hundredth. 195) The grades are given for a student for a particular semester. Find the grade point average. The point values 195) of grades are given below. A : 4, B : 3, C : 2, D : 1, F : 0 Grade C D F B D A) 1.4 C) 1.5
Credit Hours 4 3 3 4 4
B) 18 D) 3.6
Divide, and round the quotient as indicated. 196) Divide 1,284.47 by 0.029 and round the quotient to the nearest thousandth. A) 4,429.207 B) 4,429.257 C) 44,292.569
21
D) 44,292.069
196)
Find the median. If necessary, round to one decimal place. 197) 20, 21, 34, 44, 67, 71, 86 A) 49.5 B) 67
C) 44
D) 34
Round the money amount to the nearest cent or dollar as indicated. 198) $0.9983, nearest cent A) $0.00 B) $1.00 C) $1.01
D) $0.10
Evaluate the expression for the given replacement values. x for x = 42, y = -0.7 199) y A) -0.017
197)
198)
199)
B) -60
C) -1.667
D) -6
Fill in the blank with one of the choices listed below. Some choices may be used more than once. vertically standard form sum
decimal mean denominator
and median numerator
200) Like fractional notation, A) median Solve the equation. 201) 7.6 = y - 9 A) 8.5
right triangle circumference mode
notation is used to denote a part of a whole.
B) decimal
C) sum
D) mean
B) 0.844
C) 6.7
D) 16.6
200)
201)
Solve the equation by first multiplying both sides through by an appropriate power of 10 so that the equation contains integers only. 202) 0.1x + 0.3 = -0.4 202) A) -0.7 B) -1 C) 1 D) -7
Round the money amount to the nearest cent or dollar as indicated. 203) $99.64, nearest dollar A) $90 B) $100 C) $0
D) $99.70
Solve. If necessary, round answers to the nearest hundredth. 204) 15 students were asked how much cash they had with them and the results were recorded.
203)
204)
27, 30, 20, 15, 0, 5, 2, 50, 105, 25, 20, 75, 55, 13, 16 How many students had less cash than the mean? A) 4 B) 10
C) 8
Insert <, >, or = between the pair of numbers to form a true statement. 205) 770.802 _____ 770.820 A) < B) =
22
D) 11
C) >
205)
The table gives the winner of the weekly gymnastics competition for the first eight weeks of the season. Week 1 2 3 4 5 6 7 8
Last Name, Initial Smith, A Davis, M Wilson, K Moseley, R Smith, A Smith, A Wilson, K Davis, M
Average Score 38.200 39.115 37.625 38.221 39.085 38.675 38.895 39.975
206) What is the lowest average score on the list? Who achieved that average? A) 38.675; Smith, A B) 38.221; Moseley, R C) 39.085; Smith, A D) 37.625; Wilson, K Write the decimal number in standard form. 207) Three hundred ninety-one thousandths A) 0.0391 B) 0.391
C) 0.00391
206)
D) 300.91
Write the words for the dollar amount as you would on a check. 208) $33.68 68 68 dollars dollars A) Thirty-three B) Thirty-three and 100 100 C) Thirty-three dollars and
68 100
207)
208)
D) Thirty-three dollars and 68 cents
Find the mean. If necessary, round to one decimal place. 209) 15, 3, 27, 15 A) 15 B) 13.5
C) 21
D) 15.5
Write the fraction as a decimal. If necessary, use repeating decimal notation. 24 of the second-graders did not eat or 210) A survey taken in an elementary school revealed that 109
209)
210)
drink a milk product at least one time every day of the week. Write this amount as a decimal, rounding to the nearest hundredth. A) 4.54 B) 0.20 C) 0.22 D) 0.78
Find the median. If necessary, round to one decimal place. 211) 10, 3, 23, 18, 21, 49, 39, 32 A) 24.5 B) 23
C) 22
23
D) 21
211)
Find the circumference of the circle. Then use the approximation 3.14 for 212)
and approximate the circumference. 212)
20.5 yd
A) 132.84 yd
B) 128.74 yd
C) 64.37 yd
D) 66.42 yd
Insert <, >, or = between the pair of numbers to form a true statement. 79 _____ 7.182 213) 11 A) =
B) >
C) <
Write the decimal in words. 214) -0.066 A) negative sixty-six ten-thousandths C) negative sixty-six hundredths Simplify. 215)
213)
B) negative sixty-six hundred-thousandths D) negative sixty-six thousandths
0.46 + 2.12 -0.3
A) -8.6 Divide. 216) 10.442 ÷ 100 A) 104.42
215) B) -86
C) -0.086
D) -0.86
B) 1.0442
C) 1,044.2
D) 0.10442
Find the mean. If necessary, round to one decimal place. 217) 51, 38, 94, 54, 137, 89 A) 77.7 B) 76.7
C) 92.6
D) 77.2
Solve. 218) In a practice run, a race car driver's speed is clocked at 144.326 mph at the end of his first lap, and at 175.910 mph at the end of the next lap. How much faster was he driving at the end of the second lap? A) 31.584 mph B) 31.594 mph C) 31.484 mph D) 32.584 mph Perform the indicated operation. 219) 7.41 1.34 + 36.96 A) 45.81
214)
216)
217)
218)
219)
B) 44.81
C) 44.71
24
D) 45.71
Find the mode or modes (if any). 220) 96, 62, 32, 62, 29, 96 A) 96
B) 62
C) 62.8
D) 96, 62
Solve. 221) Find the perimeter of the rectangle.
220)
221)
2.16 feet
3.3 feet
A) 4.98 ft
B) 7.128 ft
C) 5.46 ft
D) 10.92 ft
Write the fraction as a decimal. If necessary, use repeating decimal notation. 13 222) 15
222)
A) 0.16
B) 0.133
C) 0.13
D) 0.16
Perform the indicated operation. 223) 0.52 + (-7.949) A) -8.469
B) -8.369
C) 7.429
D) -7.429
Insert <, >, or = between the pair of numbers to form a true statement. 224) 0.2 _____ 0.0785 A) < B) > Simplify the expression. 225) (-4.9)2 A) -24.01
B) 24.01
224)
C) =
C) -9.8
223)
D) 72.03
225)
Fill in the blank with one of the choices listed below. Some choices may be used more than once. vertically standard form sum
decimal mean denominator
and median numerator
right triangle circumference mode
226) To write fractions as decimals, divide the
by the
A) numerator; denominator C) denominator; numerator
.
226)
B) mean; median D) median; mean
Round the decimal to the given place value. 227) -0.0279, nearest thousandth A) -0.028 B) 0
C) -0.03
D) -0.0279
Solve the equation. 228) -2.5 = 20.4 - x A) 17.9
C) 22.4
D) 17.4
B) 22.9 25
227)
228)
Solve. 229) A farmer is planning to plant wheat in circular plots. The diameter of each plot is to be 48.6 yd. What will be the circumference of each of the farmer's plots of wheat? (Use 3.14 for .) A) 314.928 yd B) 157.464 yd C) 152.604 yd D) 305.208 yd Find the circumference of the circle. Then use the approximation 3.14 for 230)
229)
and approximate the circumference. 230)
20 m
A) 62.8 m
B) 125.6 m
Find the median. If necessary, round to one decimal place. 231) 1.3, 0.5, 0.7, 1.3, 0.3, 1.5, 0.3, 1.6, 2 A) 1.3 B) 1.1 Estimate the product by rounding. 232) 9.8 × 6.3 A) 54
B) 63
C) 121.6 m
D) 60.8 m
C) 1
D) 0.7
C) 60
D) 70
Divide, and round the quotient as indicated. 233) Divide 158.89 by 1.9 and round the quotient to the nearest hundredth. A) 8.36 B) 84.13 C) 83.63
D) 8.41
Find the mode or modes (if any). 234) 91, 25, 91, 13, 25, 29, 56, 91 A) 42.5
D) no mode
B) 91
C) 52.6
Determine whether the given value is a solution to the given equation. x = 4.5; x = 0.153 235) 0.34 A) Yes
232)
233)
234)
235)
B) No
Write the decimal in words. 236) -0.681 A) six hundred eighty-one thousandths C) six hundred eighty-one hundredths
B) six hundred eighty-one millionths D) six and eighty-one hundredths
Determine whether the given value is a solution to the given equation. 237) Is 48.5 a solution of 6x = 29.1? A) No B) Yes Simplify the expression. 238) 1.7(1.6 - 2.9) A) 0.18
231)
B) -0.18
C) 2.21
26
236)
237)
D) -2.21
238)
Solve. 239) A meter is a unit of measure in the metric system that is approximately equal to 39.37 inches. Helga is 1.05 meters tall. What is her approximate height in inches? (Round to the nearest hundredth.) A) 41.23 in. B) 4.13 in. C) 41.34 in. D) 412.33 in. 240) Find the total monthly cost of owning and maintaining a car given the information shown. Monthly car payment: $282.59 Monthly insurance cost: $72.20 Average cost of gasoline per month: $73.30 Average maintenance cost per month: $12.50 A) $439.59 B) $450.59 C) $440.49 D) $440.59 Find the area of the triangle or rectangle. Round to the nearest thousandth, if necessary. 241)
239)
240)
241)
30 yd 44.5 yd A) 1,335 sq. yd
Multiply. 242)
B) 495 sq. yd
C) 667.5 sq. yd
D) 450 sq. yd
242)
0.102 × 3.1
A) 0
B) 3
C) 0.3162
D) 3.202
Round the money amount to the nearest cent or dollar as indicated. 243) $663.60, nearest dollar A) $660 B) $663.6 C) $664
D) $663
Round the decimal to the indicated place value. 244) 10.672, nearest tenth A) 10.6 B) 10.67
D) 10.7
C) 10.8
Insert <, >, or = between the pair of numbers to form a true statement. 245) 538,000 _____ 0.0538 A) = B) < Divide. 246) -0.9 ÷ (-0.9) A) -1
B) 1
Find the mean. If necessary, round to one decimal place. 247) 76, 60, 76, 99, 60 A) 74.2 B) 73.7
27
243)
244)
245)
C) >
C) 0.81
D) -0.9
C) 92.8
D) 74.7
246)
247)
Evaluate the expression for the given replacement values. 248) y ÷ 11 for y = 1.034 A) 0.94 B) 10.638
C) 0.094
D) 106.383
Write the fraction as a decimal. If necessary, use repeating decimal notation. 168 249) 375 A) 0.458
B) 0.447
249)
C) 0.448
D) 0.348
Solve. 250) The table shows an area's population (in millions) every 10 years from 1965 to 2005. What was the difference in population from 1975 to 2005?
Year 1965 1975 1985 1995 2005
A) 3.192 million
250)
Population (in millions) 4.56 5.472 6.84 6.384 7.752
B) 2.28 million
C) 26.448 million
D) 0.912 million
Insert <, >, or = between the pair of numbers to form a true statement. 19 251) 0.613 _____ 31 A) =
B) <
Perform the indicated operation. 252) 16.992 - 5.056 A) 22.048
248)
251) C) >
B) 11.936
Evaluate the expression for the given replacement values. 253) x - z for x = 6.9, z = 0.92 A) -5.98 B) 6.08
C) 12.036
D) 11.836
C) 7.82
D) 5.98
252)
253)
Fill in the blank with one of the choices listed below. Some choices may be used more than once. vertically standard form sum
decimal mean denominator
and median numerator
right triangle circumference mode
254) When multiplying decimals, the decimal point in the product is placed so that the number of decimal places in the product is equal to the of the number of decimal places in the factors. A) median
B) sum
C) mode
28
D) mean
254)
Perform the indicated operation. 255) 353.184 13.281 + 1.018 A) 367.593
255)
B) 367.483
C) 367.583
D) 367.493
Solve. If necessary, round answers to the nearest hundredth. 256) 15 students were asked how much cash they had with them and the results were recorded.
256)
29, 32, 22, 17, 0, 5, 2, 54, 105, 27, 22, 81, 59, 15, 18 How many students had more cash than the mean? A) 7 B) 11
Evaluate the expression for the given replacement values. 257) xz for x = 3, z = 6.7 A) 9.7 B) 20.1 258) x - y A) 7.6 Divide. 259)
for x = 7, y = 0.6
B) 5.4
C) 4
D) 5
C) 201
D) 2.01
C) -6.4
D) 6.4
962 37.0
A) 27
257)
258)
259) B) 2.6
C) 260
D) 26
Solve. 260) Nick is going to put insecticide on his lawn to control grubworms. The lawn is a rectangle that measures 241.1 feet by 89 feet. The amount of insecticide required is 0.06 ounces per square foot. a) Find the area of the lawn. b) Find how much insecticide Nick needs to purchase. A) a) 660.20002 sq ft B) a) 21,457.9009 sq ft b) 39.6120012 oz b) 1,287.47405 oz C) a) 21,457.9009 sq ft D) a) 660.20002 sq ft b) 357,631.68 oz b) 11,003.33 oz
260)
Fill in the blank with one of the choices listed below. Some choices may be used more than once. vertically standard form sum
261) The A) mean Divide. 262) -1.8 ÷ 0.06 A) -17.4
decimal mean denominator
and median numerator
right triangle circumference mode
261)
of a set of numbers is the number that occurs most often.
B) median
C) mode
D) denominator
B) -3
C) -30
D) -1.74
29
262)
Perform the indicated operation. 263) 200 - 97.627 A) 103.373
B) 102.373
C) 6
D) 97.427
C) 4.2
D) 0.238
C) 1.96
D) 2.8
Write the decimal as a fraction or mixed number in lowest terms. 266) 0.5 1 5 5 A) B) C) 2 10 100
1 D) 10
Evaluate the expression for the given replacement values. 264) z ÷ 8.9 for z = 37.38 A) 0.42 B) 0.024 265) z 2
for z = 1.4 A) 0.28
B) 19.6
Determine whether the given value is a solution to the given equation. x 267) = 3.04; x = 243.2 8 A) Yes
263)
264)
265)
266)
267)
B) No
Find the area of the triangle or rectangle. Round to the nearest thousandth, if necessary. 268)
268)
48 yd 22.5 yd A) 1,248 sq. yd
B) 540 sq. yd
C) 1,152 sq. yd
D) 1,080 sq. yd
Find the value of the expression. Give the result as a decimal. 1 2 + (5.9)(3.5) 269) 5 A) 20.69
B) 20.654
269) C) 20.9
D) 21.9
Simplify the expression. (3.8)2 270) 100 A) 0.01444
270) B) 1.444
C) 14.44
D) 0.1444
Find the value of the expression. Give the result as a decimal. 6 271) (-9.2 - 3.8) 7 A) -11.143
B) -15.167
271) C) -87.1
Determine whether the given value is a solution to the given equation. 272) Is 6.8 a solution of 0.5x = 3.4? A) No B) Yes
30
D) -11.686
272)
Simplify by combining like terms. 273) 25.7x + 5.4 - 11.8x - 18.4000001 A) 0.9x B) 13.9x + 13.0
C) 14.9x - 13.0
D) 13.9x - 13.0
Determine whether the given value is a solution to the given equation. 274) Is 3.9 a solution to 5.8 + x = 13.6 - x? A) Yes B) No Insert <, >, or = between the pair of numbers to form a true statement. 275) 220.8706 _____ 220.8607 A) = B) < Round the decimal to the given place value. 276) -13.306, nearest hundredth A) -13.310 B) -13
274)
275)
C) >
C) -13.31
D) -13.3
Solve. 277) Attendance at a baseball game was reported to be 36,281. Round this number to the nearest thousand. A) 36,300 B) 37,000 C) 36,000 D) 36,281.0000 Insert <, >, or = between the pair of numbers to form a true statement. 278) 0.543 _____ 0.54300 A) > B) <
Estimate the sum or difference by rounding. 280) 4,000 - 135.16
277)
279)
280)
B) 4,100
C) 3,900
D) 3,860
Determine whether the given value is a solution to the given equation. 281) Is 2.2 a solution to 4.7 + x = 8.1 - x? A) Yes B) No
281)
Insert <, >, or = between the pair of numbers to form a true statement. 13 _____ 4.332 282) 3 A) <
276)
278)
C) =
Solve. 279) A printing company charges $1.8325 for each color flyer it prints. What would be the cost (before tax) for printing 350 color flyers? (Round the answer to the nearest cent.) A) $6,413.75 B) $641.38 C) $6,063.75 D) $606.37
A) 3,865
273)
B) =
282) C) >
Evaluate the expression for the given replacement values. 283) -8y for y = -3.7 A) -29.6 B) 296
C) -296
31
D) 29.6
283)
Solve. 284) Don, Amanda, and Maria enter a 38.8-mile bicycle team relay race. They complete the course in 1.72 hours. What was their average speed on the course? (Round to the nearest tenth.) A) 0.4 mi/hr B) 0.0 mi/hr C) 22.6 mi/hr D) 2.3 mi/hr Evaluate the expression for the given replacement values. 285) -1.6y for y = 6 A) 9.6 B) 96
C) -9.6
284)
285)
D) -96
Write the decimal in words. 286) 1.00784 A) one and seven hundred eighty-four thousandths B) one and seven hundred eighty-four hundred-thousandths C) one and seven hundred eighty-four tenths D) one and seven hundred eighty-four millionths 287) 35.7 A) thirty-five and seven tenths C) thirty-five and seven hundredths
286)
287)
B) thirty-five and seven thousandths D) thirty-five and seven millionths
Fill in the blank with one of the choices listed below. Some choices may be used more than once. vertically standard form sum
decimal mean denominator
and median numerator
right triangle circumference mode
288) To add or subtract decimals, write the decimals so that the decimal points line up A) right triangle Perform the indicated operation. 289) 14.461 - 7.947 A) 6.614
B) vertically
C) circumference
D) standard form
B) 6.514
C) 6.714
D) 22.408
Write the decimal as a fraction or mixed number in lowest terms. 290) 9.4 1 2 47 A) 9 B) 9 C) 25 5 50 Perform the indicated operation. 291) Subtract 0.0673 from 71 A) 70.9327
.
B) 70.4327
C) 71.0327
47 D) 5
D) 71.0673
288)
289)
290)
291)
Estimate the quotient by rounding. 292) 2.7 32.79 A) 30
B) 12
C) 11
32
D)
1 11
292)
Insert <, >, or = between the pair of numbers to form a true statement. 293) 0.0836 _____ 836,000 A) < B) = Write the decimal in words. 294) 3.24 A) three and twenty-four hundredths C) three and twenty-four tenths
293)
C) >
B) three and twenty-four millionths D) three and twenty-four thousandths
Solve. 295) A windmill is constructed having blades 11.6 feet long. The length of the blades will be the radius of the circle which the windmill will sweep. What is the circumference of the circle which the windmill will sweep? (Use 3.14 for .) A) 36.424 ft B) 70.528 ft C) 72.848 ft D) 35.264 ft Write the decimal as a fraction or mixed number in lowest terms. 296) 1.01 1 1 1 A) B) C) 1 1000 100 1000
D) 1
1 100
294)
295)
296)
The bar graph shows the times it took five men to run a mile. Use the table to answer the question.
297) The fastest mile time is how much less time than the slowest mile time? A) 1.49 min B) 1.02 min C) 0.71 min Multiply. 298) 7.4 × 0.01 A) 0.0074
B) 0.074
C) 7.400
D) 1.13 min
D) 0.74
Solve. 299) Find the perimeter of the figure below.
4.79 cm 8 cm
A) 15.76 cm
298)
299)
5.6 cm 2.5 cm
297)
2.16 cm
B) 23.05 cm
C) 8.56 cm
33
D) 15.85 cm
Write the fraction as a decimal. If necessary, round to the nearest thousandth. 10 300) 25 A) -0.2
B) -0.4
C) -0.46
300) D) -0.32
Write the fraction as a decimal. If necessary, use repeating decimal notation. 16 301) 25
301)
A) 0.54
B) 0.64
C) 0.74
D) 0.84
Perform the indicated operation. 302) -8.9 - 5.6 A) -14.5
B) 3.3
C) 14.5
D) -3.3
C) 13.7527
D) 13.753
Round the decimal to the given place value. 303) 13.7527, nearest thousandth A) 13.763 B) 13.743
Write the decimal in words. 304) -114.044 A) negative one hundred fourteen and forty-four thousandths B) negative one hundred and fourteen and forty-four hundredths C) negative one hundred and fourteen and forty-four thousandths D) negative one hundred fourteen and forty-four ten-thousandths 305) A planet orbits the sun every 58.3 years. A) fifty-eight and three tenths C) fifty-eight and three hundredths
302)
303)
304)
B) fifty-eight and three millionths D) fifty-eight and three thousandths
305)
Estimate the quotient by rounding. 306) 7.9 72.23 A) 10
1 C) 9
B) 64
306) D) 9
Solve. If necessary, round answers to the nearest hundredth. 307) The following test scores were recorded for a student: 88, 83, 81, 77, 83, 69, 79. Find the mean, median, and mode. A) mean: 81 median: 77 mode: 83 B) mean: 81 median: 80 mode: 88 C) mean: 80 median: 77 mode: 88 D) mean: 80 median: 81 mode: 83 Determine whether the given value is a solution to the given equation. 308) Is 24.6 a solution to 47.1 - z = 22.5? A) Yes B) No Round the decimal to the given place value. 309) 45.7, nearest one A) 47 B) 45
C) 45.7
34
307)
308)
D) 46
309)
Evaluate the expression for the given replacement values. 310) x + z for x = 9.1, z = 0.83 A) 9.93 B) 8.27
C) 19.86
D) 17.4
Perform the indicated operation. 311) 9.1 - 2.577 A) 6.677
310)
311)
B) 8.000
C) 6.523
D) 7.523
Simplify by combining like terms. 312) 31.4x - 12.3 - 15.9x + 27.3000002 A) 16.5x + 15.0 B) 15.5x + 15.0
C) 15.5x + 16
D) 30.5x
Estimate the sum or difference by rounding. 313) 6.93 - 4.27 A) 1 B) 3
C) 2
D) 11
Write the decimal number in standard form. 314) One hundred and two tenths A) 0.102 B) 102.0
C) 10.2
D) 100.2
Solve the equation. 315) 1.3x + 4.2 = 0.6x - 0.49 A) 0.149
C) -6.7
D) -6.6
B) -6.03
Determine whether the given value is a solution to the given equation. x = 0.97; x = 3.298 316) 3.4 A) Yes
312)
313)
314)
315)
316)
B) No
Find the area of the triangle or rectangle. Round to the nearest thousandth, if necessary. 3 m 317) 5
317)
1.2 m
A) 0.73 sq. m
B) 0.72 sq. m
C) 13.6 sq. m
Determine whether the given value is a solution to the given equation. 318) Is 7.2 a solution to x + 3.3 = 10.5? A) Yes B) No
35
D) 3.6 sq. m
318)
Find the mean. If necessary, round to one decimal place. 319) 70, 106, 237, 72 A) 161.7 B) 121.8
C) 121.3
D) 120.8
Solve the equation. 320) 1.3x - 2.3 = 0.8x - 0.65 A) 0.303
B) 3.3
C) 3.267
D) 3.29
Simplify. 321) 0.8x + 1.1 = -2.1 A) -2.56
B) -3.2
C) -1.2
D) -4
Write the fraction as a decimal. If necessary, use repeating decimal notation. 2 322) 3 A) -0.6
B) -0.06
C) -0.06
320)
321)
322) D) -0.6
Solve. 323) In one year, a baseball player got 169 hits in 473 times at bat. What was his batting average? Give decimal notation to the nearest thousandth. A) 0.337 B) 0.360 C) 0.357 D) 0.367 Solve. If necessary, round answers to the nearest hundredth. 324) The following test scores were recorded for a student: 75, 64, 69, 64, 66. Find the mean, median, and mode. A) mean: 67.6 median: 66 mode: 64 B) mean: 68.5 median: 69 mode: 75 C) mean: 67.6 median: 66 mode: 75 D) mean: 84.5 median: 67.5 mode: 64 Perform the indicated operation. 325) 4.120 - 4.007 A) 7.127
B) 0.213
C) 8.127
D) 0.113
Simplify. 326) 6(x + 5.6) = 10x + 18.4 A) 3.8
B) -15.2
C) 19.2
D) -3.2
Multiply. 327) (493.10)(10) A) 49.310001
B) 4,931.0001
C) 493.100
D) 49,310.001
C) 21.5
D) 25
C) 96
D) 9.5
Find the median. If necessary, round to one decimal place. 328) 6, 13, 28, 22, 41, 42 A) 28 B) 22
319)
323)
324)
325)
326)
327)
328)
Divide. 329) 0.02 1.9 A) 95
B) 84
36
329)
Arrange the list of numbers in order from smallest to largest. 330) 2.09, 2.9, 2.099, 2.999 A) 2.09, 2.9, 2.099, 2.999 C) 2.999, 2.9, 2.099, 2.09
330)
B) 2.099, 2.09, 2.999, 2.9 D) 2.09, 2.099, 2.9, 2.999
Write the fraction as a decimal. If necessary, use repeating decimal notation. 43 331) 16 C) 2.6875
D) 2.6875
Round the money amount to the nearest cent or dollar as indicated. 332) $0.8224, nearest cent A) $0.822 B) $0.83 C) $0.82
D) $0.8224
A) 2.6875
B) 2.6875
331)
Determine whether the given value is a solution to the given equation. x 333) = 7.98; x = 23.94 3 A) Yes
332)
333)
B) No
Write the decimal as a fraction or mixed number in lowest terms. 334) 29.56 3 14 A) 2,956 B) 295 C) 29 5 25
37
3 D) 29 5
334)
Answer Key Testname: CHAPTER 5 1) 39.975 39.115 39.085 38.895 38.675 38.221 38.200 37.625 2) C 3) B 4) B 5) C 6) C 7) B 8) A 9) C 10) A 11) A 12) C 13) C 14) B 15) B 16) C 17) C 18) B 19) D 20) B 21) D 22) A 23) D 24) C 25) D 26) A 27) C 28) D 29) D 30) B 31) B 32) B 33) C 34) A 35) A 36) C 37) C 38) A 39) D 40) A 41) C 42) C 43) D 38
Answer Key Testname: CHAPTER 5 44) A 45) A 46) A 47) A 48) B 49) B 50) C 51) C 52) B 53) C 54) C 55) B 56) B 57) A 58) B 59) C 60) C 61) A 62) B 63) D 64) A 65) B 66) D 67) B 68) D 69) D 70) A 71) C 72) B 73) B 74) B 75) C 76) D 77) C 78) B 79) B 80) B 81) C 82) B 83) C 84) B 85) B 86) D 87) C 88) A 89) A 90) B 91) A 92) A 93) C 39
Answer Key Testname: CHAPTER 5 94) B 95) C 96) D 97) D 98) D 99) A 100) A 101) D 102) D 103) C 104) D 105) C 106) C 107) D 108) B 109) C 110) B 111) A 112) C 113) C 114) B 115) A 116) B 117) C 118) A 119) D 120) A 121) C 122) C 123) B 124) A 125) A 126) A 127) D 128) C 129) B 130) D 131) A 132) B 133) B 134) D 135) D 136) A 137) B 138) D 139) A 140) B 141) D 142) C 143) C 40
Answer Key Testname: CHAPTER 5 144) A 145) C 146) C 147) C 148) B 149) B 150) D 151) B 152) D 153) C 154) D 155) C 156) C 157) C 158) D 159) C 160) B 161) C 162) D 163) B 164) D 165) A 166) A 167) C 168) B 169) D 170) D 171) B 172) A 173) B 174) C 175) C 176) C 177) A 178) A 179) D 180) B 181) B 182) A 183) A 184) A 185) C 186) A 187) B 188) B 189) D 190) B 191) D 192) D 193) B 41
Answer Key Testname: CHAPTER 5 194) A 195) C 196) D 197) C 198) B 199) B 200) B 201) D 202) D 203) B 204) D 205) A 206) D 207) B 208) B 209) A 210) C 211) C 212) C 213) C 214) D 215) A 216) D 217) D 218) A 219) D 220) D 221) D 222) A 223) D 224) B 225) B 226) A 227) A 228) B 229) C 230) A 231) A 232) C 233) C 234) B 235) B 236) A 237) A 238) D 239) C 240) D 241) C 242) C 243) C 42
Answer Key Testname: CHAPTER 5 244) D 245) C 246) B 247) A 248) C 249) C 250) B 251) B 252) B 253) D 254) B 255) B 256) C 257) B 258) D 259) D 260) B 261) C 262) C 263) B 264) C 265) C 266) A 267) B 268) B 269) A 270) D 271) A 272) B 273) D 274) A 275) C 276) C 277) C 278) C 279) B 280) C 281) B 282) C 283) D 284) C 285) C 286) B 287) A 288) B 289) B 290) B 291) A 292) C 293) A 43
Answer Key Testname: CHAPTER 5 294) A 295) C 296) D 297) A 298) B 299) B 300) B 301) B 302) A 303) D 304) A 305) A 306) D 307) D 308) A 309) D 310) A 311) C 312) B 313) B 314) D 315) C 316) A 317) B 318) A 319) C 320) B 321) D 322) A 323) C 324) A 325) D 326) A 327) B 328) D 329) A 330) D 331) A 332) C 333) A 334) C
44
Chapter 6 Exam Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
equal congruent Pythagorean
1) In the proportion
rate unit price leg
x 7 , x · 16 and 2 · 7 are called = 2 16
A) ratio Solve.
cross products ratio similar
right proportion
.
B) cross products
C) congruent
1) D) right
2) The standard dose of medicine for a dog is 10 grams for every 15 pounds of body weight. What is the standard dose for a dog that weighs 115 pounds? 2 1 A) 77 g B) 76 g C) 76 g D) 76 g 3 3
For the proportion, solve for the variable. x 0 3) = 5 8 A) 1
2)
3)
B) 0
C)
5 8
D) 40
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
4)
equal congruent Pythagorean
cross products ratio similar
x 7 is an example of a = 2 16
.
A) unit rate Solve.
rate unit price leg
right proportion
4)
B) proportion
C) rate
D) ratio
5) A solution strength of 8 mg of medicine in 1 mL of solution is available. If a patient needs 14 mg, how many mL do you administer? A) 112 mL B) 0.6 mL C) 1.75 mL D) 14 mL
Write the rate as a fraction in simplest form. 6) 270 miles in 30 minutes 9 mi 270 mi A) B) 1 min 30 min
C)
1
45 mi 5 min
D)
1 mi 9 min
5)
6)
Solve.
7) On an architect's blueprint, 1 inch corresponds to 3 feet. Find the length of a wall represented by a 1 line 6 inches long on the blueprint. Round to the nearest tenth if necessary. 3 A) 211.1 ft
B) 4.7 ft
C) 19 ft
D) 23.3 ft
8) Given that the triangles above are similar, find the unknown length n.
6 24
8)
n
57.6 B) 144
A) 0.25
C) 14.4
D) 2.5
Write the sentence as a proportion. Then determine whether the proportion is a true proportion. 9) four is to three as nine is to seven 4 9 4 9 4 9 4 9 A) = ; true B) = ; true C) = ; false D) = ; false 3 7 7 3 3 7 7 3 Solve.
10) Approximate to the nearest thousandth of a centimeter, if necessary, the length of the missing side of a right triangle with legs of 2 cm and 4 cm. A) 6.220 cm B) 4.472 cm C) 8 cm D) 3.464 cm
Write the rate as a fraction in simplest form. 11) 246 miles in 4 hours 123 mi 2 mi A) B) 4 hr 4 hr
123 mi C) 2 hr
246 mi D) 2 hr
Find the ratio of the corresponding sides of the given similar triangles. 12) 5
2 A) 5
4
7)
9)
10)
11)
12)
10
1 B) 2
8
C)
Find the unit rate. 13) 300 students for 12 teachers A) 3,600 students/teacher C) 0.04 students/teacher
4 5
B) 312 students/teacher D) 25 students/teacher
D) 2
13)
Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth. 14) leg = 10, leg = 24 14) A) 22 B) 18 C) 25 D) 26
2
Write the rate as a unit rate. 15) 56 miles on 2 gallons of gas A) 58 gal B) 112 mi
C) 28 mi/gal
D) 0.036 mi/gallon
Use a calculator to approximate the square root. Round the square root to the nearest thousandth. 16) 8 A) 2.131 B) 2.833 C) 2.825 D) 2.828 Find the square root and simplify. Round to the nearest thousandth if necessary. 169 17) 196 A)
Solve.
169 14
B)
14 13
C)
13 196
D)
13 14
B) 137 people/bus D) 0.073 person/bus
Determine whether the pair of triangles is congruent. 20)
60° 76°
10 in
A) congruent
Solve.
18)
19)
20)
60°
76° 10 in
B) not congruent
Write the sentence as a proportion. 21) 70 children is to 91 bicycles as 10 children is to 13 bicycles. 70 children 91 children 70 children 91 children = = A) B) 10 bicycles 13 bicycles 91 bicycles 10 bicycles C)
16)
17)
18) It is recommended that there be at least 16.1 square feet of ground space in a garden for every newly planted shrub. A garden is 32.2 feet by 17.5 feet. Find the maximum number of shrubs the garden can accommodate. A) 160 shrubs B) 2 shrubs C) 35 shrubs D) 12 shrubs
Write the rate as a unit rate. 19) 685 people in 50 buses A) 635 people/bus C) 13.7 people/bus
15)
70 children 10 children = 91 bicycles 13 bicycles
D)
10 children 13 children = 91 bicycles 70 bicycles
22) It is recommended that there be at least 11 square feet of work space for every person in a conference room. A certain conference room is 16 feet by 19 feet. Find the maximum number of people the room can accommodate. A) 38 people B) 28 people C) 27 people D) 48 people 3
21)
22)
Find the square root. 1 23) 100 A)
23)
1 20
B)
1 10
C)
1 5
D) 10
Find the ratio of the corresponding sides of the given similar triangles. 24) 11
11
4
2 5
9
A)
2 5
4
3
B)
24)
2 5
3 5
11 9
C)
9 11
D)
5 2
Solve the proportion for the given variable. Round the solution where indicated. -2 -0.9 = 25) n 5.4 A) 10
4 5
C) 4
B) 12
43 50
25) D) 1
4 5
Solve the proportion for the given variable. 0.3 1.2 = 26) 7 n A)
9 25
B) 2
26)
1 10
C) 8
2 5
D) 28
Find the square root. 36 27) 49 A)
36 7
27) B)
7 6
C)
6 7
Determine whether the proportion is true or false. 8 2 = 28) 20 5
D)
6 49
28)
A) True
B) False
Write the rate as a unit rate. 29) 20 cents for 5 marbles A) 0.25 cents/marble C) 4 cents/marble
B) 25 marbles D) 100 cents/marble
4
29)
Fill in the table to calculate miles per gallon. 30) Beginning Ending Miles Gallons of Miles Odometer Odometer Driven Gas Used Per Gallon Reading Reading (round to the nearest tenth) 53,431 53,827 14.9
30)
A) miles driven: 396; miles per gallon: 5,900.4 B) miles driven: 107,258; miles per gallon: 7,198.5 C) miles driven: 396; miles per gallon: 26.6 D) miles driven: 107,258; miles per gallon: 26.6 Find the ratio described as a fraction in simplest form. 31) According to an organization's membership list, it has 600 members who are 50 or older and 1,350 members who are younger than 50. What is the ratio of members who are younger than 50 to the total number of members? 4 4 9 9 A) B) C) D) 9 13 13 4 Solve.
32) A fire fighter needs to estimate the height of a burning building. She estimates the length of her 1 shadow to be 7 feet long and the length of the building's shadow to be 51 feet long. Find the 2 height of the building if the fire fighter is 5 feet tall. A) 85 ft B) 58.5 ft
C) 34 ft
Write the rate as a fraction in simplest form. 33) 215 employees for 40 companies 215 employees A) 8 companies C)
D)
33)
43 employees 40 companies
Given that the pair of triangles is similar, find the unknown length of the side labeled with a variable. 34) 75
A) 28
x
7
25
B) 12
C) 21
5
32)
D) 76.5 ft
43 employees B) 8 companies
40 employees 5 companies
31)
D) 7
34)
35)
35)
12
n 4
6
A) 24
B) 18
C) 20
D) 6
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
equal congruent Pythagorean
cross products ratio similar
rate unit price leg
36) The side of the right triangle, labeled "x" is called the
x A) Pythagorean
B) right
right proportion
C) leg
Determine whether the pair of triangles is congruent. 37)
7 yd
5 yd A) congruent
9 yd
5 yd
36)
.
D) hypotenuse
37)
7 yd
5 yd
B) not congruent
Write the rate as a unit rate. 38) A concert tour grossed $156,000 for 13 shows. A) $6,000/show C) $156,000/13 shows
B) $1,200/show D) $12,000/show
6
38)
Given that the pair of triangles is similar, find the unknown length of the side labeled with a variable. 39)
15 24
A) 36
z
57.6 B) 0.625
Solve. 40) One pound of an ingredient yields 2
C) 360
D) 6.25
1 cups of the final product. How many pounds of this 4
ingredient will be required by a recipe that yields 6 cups of the final product? 1 1 2 A) 8 lb B) 13 lb C) 2 lb 3 2 3
D) 2
40)
1 lb 4
Determine whether the proportion is true or false. 8 4 = 41) 14 7
41)
A) True
B) False
Find the unit price and decide which is the better buy. 42) Frozen orange juice: 10 ounces for $1.59 12 ounces for $1.80 A) 10-oz size B) 12-oz size C) Both cost the same per ounce.
42)
Find the ratio described as a fraction in simplest form. 43) Find the ratio of the width to the length of the rectangular swimming pool sketched below.
12 yards (width)
A) 12
39)
13 yards (length) 13 B) 12
C)
7
12 25
D)
12 13
43)
Given that the pair of triangles is similar, find the length of the side labeled n. Round your results to 1 decimal place, if necessary. 44) 44)
1
n
2
A) 6
3
B) 0.6
C) 1.5
D) 0.7
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 45) 4.81 to 8.79 8.79 879 4.81 481 A) B) C) D) 4.81 481 8.79 879 Find the unit rate. 46) 975 miles in 30 hours A) 0.031 mi/hr
B) 325 mi/hr
C) 32.5 mi/hr
D) 945 mi/hr
Determine whether the pair of triangles is congruent. 47)
62° 62°
A) congruent Solve.
9 cm
45)
46)
47)
72°
62° 9 cm
B) not congruent
48) The ratio of a basketball player's completed free throws to attempted free throws is 5 to 8. If she completed 10 free throws, find how many free throws she attempted. Round to the nearest whole number if necessary. A) 2 free throws B) 6 free throws C) 5 free throws D) 16 free throws
48)
Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth. 49) leg = 9, leg = 12 49) A) 14 B) 8 C) 15 D) 11
Solve.
50) On an architect's blueprint, 1 inch corresponds to 6 feet. If an exterior wall is 16 feet long, find how long the blueprint measurement should be. 3 2 A) 3 in. B) 2 in. C) 24 in. D) 8 in. 4 3
8
50)
Find the unit price and decide which is the better buy. Round to three decimal places. Assume that we are comparing different sizes of the same brand. 51) Crackers: 51) $15.47 for 18 ounces $11.90 for 14 ounces A) 14 oz B) 18 oz C) Both cost the same per ounce.
Find the ratio described as a fraction in simplest form. 52) According to an organization's membership list, it has 1,950 members who are married and 1,350 members who are single. What is the ratio of members who are married to members who are single? 3 13 9 13 A) B) C) D) 13 27 13 9
52)
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
equal congruent Pythagorean
53) A
rate unit price leg
right proportion
is the quotient of two numbers. It can be written as a fraction, using a colon, or
using the word to. A) ratio
Solve.
cross products ratio similar
B) rate
C) unit rate
D) proportion
54) It takes Bill 24 minutes to type and spell check 14 pages. Find how many pages he can type and spell check in 4.5 hours. Round to the nearest tenth if necessary. A) 63 pages B) 157.5 pages C) 262.5 pages D) 462.9 pages
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 55) 5.7 to 10 57 57 5.7 100 A) B) C) D) 10 100 10 57 Find the square root. 56) 81 A) 9
1 C) 81
B) 6,561
9
53)
54)
55)
56) D) 81
Write the sentence as a proportion. 57) 2 tbsp of hot cocoa mix is to 3.5 cups of hot cocoa as 6 tbsp of hot cocoa mix is to 10.5 cups of hot cocoa. 3.5 cups hot cocoa A) 10.5 cups hot cocoa B)
2 tbsp hot cocoa mix 6 tbsp hot cocoa mix = 3.5 cups hot cocoa 10.5 cups hot cocoa
C)
2 tbsp hot cocoa mix 3.5 cups hot cocoa = 6 tbsp hot cocoa mix 10.5 cups hot cocoa
D)
2 tbsp hot cocoa mix 6 tbsp hot cocoa mix
57)
Find the unknown length in the right triangle. If necessary, approximate the length to the nearest thousandth. 58) 58) 4 cm 7 cm ?
A) 6.403 cm
B) 8.062 cm
C) 11 cm
D) 5.745 cm
For the proportion, solve for the variable. 950 z = 59) 215 1,290 A) 245,100
Solve.
59)
B) 5,700
C)
3 19
D)
19 3
60) Find the height of the cliff. If necessary, round to the nearest hundredth meter.
60)
40 m
29 m A) 49.41 m
B) 11 m
C) 27.55 m
Determine whether the proportion is true or false. 120 195 = 61) 280 455
D) 26.37 m
61)
A) True
B) False
10
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
62)
equal congruent Pythagorean
cross products ratio similar
rate unit price leg
right proportion
triangles have exactly the same shape but not necessarily the same size.
A) Right
B) Similar
C) Congruent
62)
D) Pythagorean
Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth. 63) leg = 12, hypotenuse = 20 63) A) 20 B) 19 C) 14 D) 16
Find the square root and simplify. Round to the nearest thousandth if necessary. 64) 144 A) 24 B) 14 C) 12
D) 20,736
Solve the proportion for the given variable. Round the solution where indicated. 24 -9 = 65) 120 y A) -5
B) 5
C) 45
65) D) -45
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 66) $18 to $28 18 9 18 9 A) B) C) D) 28 28 14 14 Determine whether the proportion is true or false. 0.5 0.4 = 67) 0.3 0.2
66)
67)
A) True Solve.
64)
B) False
68) The ratio of a quarterback's completed passes to attempted passes is 7 to 8. If he attempted 32 passes, find how many passes he completed. Round to the nearest whole number if necessary. A) 8 passes B) 4 passes C) 28 passes D) 37 passes
68)
69) A motorcycle can be driven 115 miles in 3 hours, how long will it take to travel 125 miles? 6 23 23 2 hours hours hours hours A) 3 B) C) D) 1 23 25 75 23
69)
Find the unit rate. 70) In a region, the total number of students enrolled in public schools in a recent year was 469,585. At the same time, there were 24,266 public school teachers. Write a unit rate in students per teacher. Round to the nearest whole. A) 18 students/teacher B) 19 students/teacher C) 21 students/teacher D) 20 students/teacher
11
70)
Write the rate as a unit rate. 71) 116 miles in 2 hours A) 118 mi/hr
B) 58 mi/hr
C) 58 mi
D) 232 mi
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 4 1 72) 2 to 7 7 4 A)
72 203
B)
9 29
C)
63 232
D)
Solve.
72)
203 72
Find the square root. 529 73) 121 A)
71)
73)
22 5
B)
23 11
C)
24 11
D)
23 12
74) On an architect's blueprint, 1 inch corresponds to 9 feet. If an exterior wall is 54 feet long, find how long the blueprint measurement should be. Write the answer as a mixed number if necessary. 2 1 A) 1 in. B) 54 in. C) 6 in. D) 40 in. 3 2
Solve the proportion for the given variable. Round the solution where indicated. x 0.03 = 75) 1.5 5 Round to the nearest hundredth. A) 0.23 B) 250.00
74)
75)
C) 111.11
D) 0.01
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
equal congruent Pythagorean
cross products ratio similar
rate unit price leg
76) In the right triangle shown below, a 2 + b2 = c2 is called the
A) leg
right proportion
theorem.
B) Pythagorean
C) right
D) hypotenuse
Write the ratio or rate as a fraction in simplest form. 77) 4.9 to 10 4.9 49 A) B) 10 100
100 C) 49
49 D) 10
12
76)
77)
Determine whether the proportion is true or false. 13 2 = 78) 4 13
78)
A) True
B) False
Use a calculator to approximate the square root. Round the square root to the nearest thousandth. 79) 48 A) 6.928 B) 6.925 C) 6.008 D) 6.933 Solve.
80) If a tree 57.5 feet tall casts a shadow that is 23 feet long, find the height of a tree casting a shadow that is 11 feet long. Round to the nearest tenth if necessary. A) 4.4 ft B) 27.5 ft C) 45.5 ft D) 120.2 ft
Solve the proportion for the given variable. 60 y = 81) 10 1 9 A)
20 3
79)
80)
81)
B) 54
C)
2 3
D)
3 2
Determine whether the pair of triangles is congruent. 82)
82)
13 mi 13 mi
5 mi
12 mi
12 mi
12 mi
A) congruent
B) not congruent
Solve the proportion for the given variable. Round the solution where indicated. 1 2 16 = 83) 4 n 8 A)
1 16
B) 16
C) 20
83)
D)
1 64
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 84) 66 kilometers to 102 kilometers 66 66 11 A) B) C) 6 D) 102 17 17
13
84)
Write the sentence as a proportion. 85) 27 robins is to 3 cardinals as 63 robins is to 7 cardinals. 27 robins 7 robins 27 robins 63 robins = = A) B) 3 cardinals 63 cardinals 7 cardinals 3 cardinals C)
27 robins 3 robins = 63 cardinals 7 cardinals
D)
27 robins 63 robins = 3 cardinals 7 cardinals
Use a calculator to approximate the square root. Round the square root to the nearest thousandth. 86) 167 A) 12.938 B) 12.910 C) 12.724 D) 12.923 Determine whether the pair of triangles is congruent. 87)
31 in
85)
86)
87)
6°
31°
95° 6 in A) congruent
95°
B) not congruent
Given that the pair of triangles is similar, find the length of the side labeled n. Round your results to 1 decimal place, if necessary. 88) 88)
4.7
8.3
n
A) 0.1
12.6
B) 7.1
Write the ratio or rate as a fraction in simplest form. 89) 9 inches of rain in 51 days 17 in. 3 in. A) B) 3 days 17 days
C) 22.3
D) 3.1
1 in. C) 3 days
9 in. D) 51 days
89)
Find the unknown length in the right triangle. If necessary, approximate the length to the nearest thousandth. 90) 90) 25 ft
24 ft A) 1 ft
Find the square root. 91) 324 A) 36
?
B) 2.64699996 ft
C) 7 ft
D) 8.35300004 ft
B) 104,976
C) 20
D) 18
14
91)
Determine whether the pair of triangles is congruent. 92)
18 in 35°
115° 18 in A) congruent
92)
35°
115°
B) not congruent
Find the square root and simplify. Round to the nearest thousandth if necessary. 93) 151 A) 12.724 B) 12.303 C) 12.288 Solve.
D) 12.275
94) A 25-foot ladder is leaning against a house with the base of the ladder 5 feet from the house. How high up the house does the ladder reach? If necessary, round to the nearest tenth foot.
93)
94)
25 ft
5 ft A) 25.5 ft
B) 24.5 ft
C) 24.2 ft
D) 20 ft
Solve the proportion for the given variable. n 12 95) = 7 21 A) 4
95)
B) 2
C) 7
D) 3
Determine whether the proportion is true or false. 21 31.5 = 96) 9 13.5
96)
A) True
B) False
Solve the proportion for the given variable. Round the solution where indicated. 28 21 = 97) 4 x A) 21
B) 7
C) 3
Determine whether the proportion is true or false. 4 2 3 3 = 98) 3 6 4 16
97) D) 4
98)
A) True
B) False
15
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 99) 27 cents to 5 dollars 324 20 9 5 A) B) C) D) 5 9 20 324 Write the sentence as a proportion. Then determine whether the proportion is a true proportion. 100) one fifth is to two fifteenths as two thirds is to four ninths 1 2 1 2 1 2 1 2 5 3 5 15 5 15 5 15 ; false ; true ; false = ; true = = = A) B) C) D) 2 4 2 4 4 2 4 2 15 9 3 9 9 3 9 3 Solve the proportion for the given variable. Round the solution where indicated. z 70 = 101) 11 50 A)
102)
77 5
B)
5 77
C)
77 50
99)
100)
101) D) 154
2.1 1.2 = y 7.6
102)
Round to the nearest tenth. A) 0.1 B) 133.0
C) 0.8
D) 13.3
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
equal congruent Pythagorean
cross products ratio similar
rate unit price leg
right proportion
103) The side of the right triangle, labeled "x" is called the
103)
.
x
A) leg
B) right
C) hypotenuse
D) Pythagorean
Determine whether the proportion is true. 3 9 104) = 8 24
104)
A) True
B) False
Write the sentence as a proportion. Then determine whether the proportion is a true proportion. 105) six is to ten as nine is to fifteen 6 9 6 9 6 9 6 9 ; false ; true ; true ; false = = = = A) B) C) D) 10 15 15 10 10 15 15 10
16
105)
Solve. 106) A punch recipe calls for mixing 2 parts of grape juice with 5 parts of lemon juice. Find how much grape juice should be mixed with 80 ounces of lemon juice. A) 40 oz B) 200 oz C) 16 oz D) 32 oz 107) It takes Florence 26 minutes to type and spell check 10 pages of a manuscript. Find how long it takes her to type and spell check 65 pages. Round to the nearest whole number if necessary. A) 169 min B) 1,690 min C) 25 min D) 26 min Write the rate as a fraction in simplest form. 108) 13 tests for 91 students 7 tests 13 tests A) B) 13 students 91 students
C)
7 tests 1 student
D)
1 test 7 students
106)
107)
108)
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
equal congruent Pythagorean
cross products ratio similar
109) If cross products are A) congruent
rate unit price leg
109)
the proportion is false.
B) right
C) equal
Write the sentence as a proportion. 110) $27 is to 45 bottles as $24 is to 40 bottles. $45 $24 = A) 27 bottles 40 bottles C)
right proportion
D) not equal
110)
$27 $24 = B) 45 bottles 40 bottles
$27 $45 = 24 bottles 40 bottles
D)
$27 $24 = 40 bottles 45 bottles
Solve. 111) The gasoline/oil ratio for a certain snow mobile is 20 to 1. If 1 gallon equals 128 fluid ounces, how many fluid ounces of oil should be mixed with 4 gallons of gasoline? Round to the nearest fluid ounce. A) 27 fl oz B) 250 fl oz C) 25 fl oz D) 26 fl oz
111)
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
equal congruent Pythagorean
112) A
cross products ratio similar
rate unit price leg
right proportion
112)
is a "money per item" unit rate.
A) proportion
B) ratio
C) leg
17
D) unit price
Given that the pair of triangles is similar, find the unknown length of the side labeled with a variable. 113)
113)
27
y
21
A) 36
28
B) 34
C) 28
D) 45
Solve the proportion for the given variable. Round the solution where indicated. 15 3 = 114) n 1 7 A)
15 7
B)
5 7
C) 35
114)
D)
7 5
Solve. 115) The adult daily dosage for a certain medicine is 80 milligrams for every 25 pounds of body weight. If the patient weighs 150 pounds and he is to receive a dose of this medicine every 3 hours, find the amount of medicine he should receive in each dose. A) 60 mg B) 3840 mg C) 1440 mg D) 160 mg 116) A board such as the one pictured below will balance if
9 ft
first weight second weight . = second distance first distance
115)
116)
n ft
100 lb
55 lb
Find the distance n that will allow the board to balance. 19 4 1 A) 4 B) 16 C) 16 20 11 9
Determine whether the proportion is true. 0.4 0.2 = 117) 0.1 0.5
D) 4
1 9
117)
A) True
B) False
18
Solve. 118) A baseball player gets 7 hits in every 12 times at bat. At this rate, if he made 49 hits, find how many times he batted. A) 343 times B) 84 times C) 588 times D) 49 times Determine whether the proportion is true or false. 6 2 = 119) 12 4
118)
119)
A) True
B) False
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 120) 42 to 45 14 42 42 14 A) B) C) D) 45 15 45 15 Find the ratio described as a fraction in simplest form. 121) Find the ratio of the width to the perimeter of the rectangular garden sketched below.
120)
121)
13 meters (width)
17 meters (length) 13 B) 60
17 A) 60
C)
13 30
D)
13 17
Find the ratio of the corresponding sides of the given similar triangles. 122) 2.4
4.8
A)
3.6
2 3
122)
2 4
B)
3
6 5
C)
5 6
D)
Write the rate as a unit rate. 123) An animal can move at 1440 meters per hour. Write this rate in meters per minute. A) 86,400 m/min
B) 24 m/min
C) 84 m/min
124) 1,800 cars in 750 households A) 1,050 cars/household C) 2.4 cars/household
B) 0.417 car/household D) 2,550 cars/household
19
4 3
2 D) m/min 5
123)
124)
Write the rate as a fraction in simplest form. 125) 108 yards in 18 seconds 6 sec 30 yd A) B) 1 yd 5 sec
108 yd C) 18 sec
6 yd D) 1 sec
Find the ratio described as a fraction in simplest form. 126) Find the ratio of the longest side to the perimeter of the right triangle.
125)
126)
135 m
159 m
A)
84 m
5 14
B)
53 126
C)
2 9
D)
28 53
Solve. 127) A rectangular plot of land is 73 meters wide by 91 meters long. Find the length of the diagonal and, if necessary, round to the nearest tenth meter.
127)
73 m
A) 164 m
91 m
B) 114.3 m
C) 116.7 m
D) 54.3 m
128) A fire fighter needs to estimate the height of a burning building. She estimates the length of her 1 shadow to be 8 feet long and the length of the building's shadow to be 42 feet long. Find the 2 height of the building if the fire fighter is 5
A) 70 ft
128)
2 feet tall. 3
B) 63 ft
C) 50.505 ft
D) 28 ft
129) One end of a guy wire is attached to the top of a 12-foot pole and the other end is anchored into the 129) ground 7 feet from the base of the pole. Find the length of the guy wire. If necessary, round to the nearest tenth foot. 12 ft
A) 19 ft
7 ft
B) 13.1 ft
C) 19.8 ft
20
D) 13.9 ft
Provide an appropriate response. 130) Peter Saltwood can paint 88 doors in 7 hours, while Carl Kepler can paint 42 doors in 4 hours. Who can paint doors faster, Peter or Carl? A) Carl B) Peter Write the ratio or rate as a fraction in simplest form. 131) 360 cents to 260 cents 18 18 cents A) B) 26 13
18 cents C) 13
18 D) 26
130)
131)
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
132) A
equal congruent Pythagorean
cross products ratio similar
rate unit price leg
right proportion
132)
is used to compare different kinds of quantities
A) leg
B) proportion
C) rate
D) ratio
Solve. 133) There are 0.5 milligrams of iron in a 3.5 ounce serving of cod. How much iron is in 6 ounces of cod? Round the answer to one decimal place. A) 0.9 mg B) 1.9 mg C) 1.3 mg D) 0.3 mg Solve the proportion for the given variable. Round the solution where indicated. 1 2 9 x = 134) 8 1 1 19 7 A)
135)
8 7
B)
9 7
C)
64 63
134)
D)
7 9
3 27 = 8 x 9
A)
1 3
133)
135)
B) 8
C) 24
21
D) 648
Write the sentence as a proportion. 1 136) 11 miles is to 4 hours as 44 miles is to 17 hours. 4 4
A)
1 mi 4
11 mi = 44 hr 17 hr 4
C)
136)
1 mi 4
11 hr
=
B)
44 mi 17 hr
D)
Find the unit price. 137) $0.46 for 2 oranges A) $0.46 per orange C) $0.92 per orange
11 mi 44 mi = 1 17 hr 4 hr 4 11 mi 44 mi = 17 hr 1 4 hr 4
137)
B) $4.35 per orange D) $0.23 per orange
Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth. 138) leg = 8, leg = 6 138) A) 10 B) 14 C) 48 D) 5.292
Solve. 139) It is recommended that there be at least 11.1 square feet of floor space in a classroom for every student in the class. Find the minimum floor space that 17 students require. Round to the nearest tenth if necessary. A) 153.2 sq ft B) 188.7 sq ft C) 11.1 sq ft D) 65.3 sq ft Find the ratio of the corresponding sides of the given similar triangles. 140) 18
A)
27
9 7
B)
14
140) 21
7 9
C)
2 3
D)
27 14
Find the ratio described as a fraction in simplest form. 141) Find the ratio of the shortest side to the perimeter of the right triangle.
141)
36 m
39 m
A)
1 6
15 m
B)
139)
5 13
C)
22
13 30
D)
2 5
Given that the pair of triangles is similar, find the length of the side labeled n. Round your results to 1 decimal place, if necessary. 142) 142) 24
1 4
A) 1.5
4
n
1 24 4
B) 0.7
C) 24
D) 392
Find the ratio described as a fraction in simplest form. 143) Use the graph below to find the ratio of Work miles to total miles.
A)
1 25
B)
1 50
C)
Write the rate as a fraction in simplest form. 144) 978 calories in a 3-ounce slice of quiche 978 cal 1 cal A) B) 3 oz 326 oz 145) 6 printers for 26 computers 6 printers 3 printers A) B) 2 computers 13 computers
8 25
143)
D)
3 25
326 cal C) 1 oz
3 oz D) 978 cal
2 printers C) 26 computers
26 printers D) 6 computers
144)
145)
Find the unit price and decide which is the better buy. Round to three decimal places. Assume that we are comparing different sizes of the same brand. 146) Crackers: 146) $1.41 for 21 ounces $2.37 for 32 ounces A) 32 oz: $0.074 per oz B) 21 oz: $0.067 per oz C) Both cost the same per ounce.
23
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
equal congruent Pythagorean
cross products ratio similar
147) If cross products are A) equal
rate unit price leg
right proportion
147)
the proportion is true.
B) right
C) not equal
D) congruent
Solve the proportion for the given variable. Round the solution where indicated. x 12 148) = 5 30 A) 2
B) 4
C) 6
148) D) 5
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 149) 25 cents to 35 cents 25 5 5 25 A) B) C) D) 35 35 7 7 Solve. 150) A grocer will refuse a shipment of strawberries if the ratio of bruised strawberries to the total batch is at least 1 to 13. A sample is found to contain 14 bruised strawberries and 162 good strawberries. Determine whether the shipment should be refused. A) yes, the shipment should be refused. B) no, the shipment should not be refused.
149)
150)
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
equal congruent Pythagorean
cross products ratio similar
rate unit price leg
right proportion
151) The side of the right triangle, labeled "x" is called the
151)
.
x
A) Pythagorean
B) leg
C) hypotenuse
Find the unit price and decide which is the better buy. 152) Soy sauce: 32 ounces for $2.08 10 ounces for $0.70 A) $0.065 per oz; 10-oz size C) $0.070 per oz; 10-oz size
D) right
152)
B) $0.065 per oz; 32-oz size D) Both cost the same per ounce.
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 153) 780 bytes to 260 bytes 1 13 1 3 A) B) C) D) 26 3 3 1
24
153)
Solve. 154) A bag of fertilizer covers 2,000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 160 feet by 60 feet. A) 48 bags B) 4 bags C) 5 bags D) 480 bags Determine whether the pair of triangles is congruent. 155)
154)
155)
14 cm 14 cm
6 cm
12 cm
12 cm A) congruent
6 cm B) not congruent
Find the unit price. 156) $42.00 for 4 video tapes A) $9.60 per video tape C) $10.50 per video tape
156)
B) $21.00 per video tape D) $10.70 per video tape
Write the ratio or rate as a fraction in simplest form. 3 1 157) 4 to 6 4 6 A)
38 111
B)
157)
57 74
C)
19 37
D)
74 57
Find the unknown length in the right triangle. If necessary, approximate the length to the nearest thousandth. 158) 158) 12 ft
4 ft
? A) 11 ft
B) 13.255 ft
C) 8 ft
D) 11.314 ft
Write the rate as a unit rate. 159) $4,050 earned in 9 weeks A) $225.00/wk
B) $450.00/wk
C) $405.00/wk
D) $0.0022/wk
Write the sentence as a proportion. 160) 2 diamonds is to 11 rubies as 8 diamonds is to 44 rubies. 2 diamonds 44 diamonds 2 diamonds 8 diamonds = = A) B) 11 rubies 8 rubies 11 rubies 44 rubies C)
2 diamonds 11 diamonds = 8 rubies 44 rubies
D)
25
8 diamonds 44 diamonds = 11 rubies 2 rubies
159)
160)
Solve the proportion for the given variable. 7 10 161) = x 12 A) 4
1 5
B)
161)
5 42
C) 16
4 5
D) 8
2 5
Write the sentence as a proportion. Then determine whether the proportion is a true proportion. 162) one and four tenths is to two as three and five tenths is to five 1.4 3.5 1.4 3.5 1.4 3.5 1.4 3.5 ; false ; true ; false ; true = = = = A) B) C) D) 5 2 2 5 2 5 5 2 Solve. 163) If a flagpole 9 feet tall casts a shadow that is 12 feet long, find the length of the shadow cast by an antenna which is 33 feet tall. Round to the nearest tenth if necessary. A) 36 ft B) 3.3 ft C) 44 ft D) 24.8 ft Find the unit rate. 164) A high school student created a remote control car that can travel 77 feet in 7 seconds. A) 7 feet/sec B) 11 sec/feet C) 11 feet/sec D) 77 feet/sec Solve the proportion for the given variable. Round the solution where indicated. 11 8 = 165) 17 z Round to the nearest thousandth. A) 0.081 B) 5.176
C) 12.364
162)
163)
164)
165) D) 0.193
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
equal congruent Pythagorean
166)
cross products ratio similar
rate unit price leg
right proportion
166)
triangles have the same shape and the same size.
A) Pythagorean
B) Congruent
C) Right
Determine whether the pair of triangles is congruent. 167)
9 in
6 in A) congruent
9 in
6in
D) Similar
167)
9 in
9 in
B) not congruent
26
Write the rate as a fraction in simplest form. 168) 477 miles on 81 gallons 477 mi 9 mi A) B) 9 gal 9 gal
53 mi C) 81 gal
53 mi D) 9 gal
Solve. 169) Five out of 10 adults in a certain city buy their prescription drugs at large drug stores. If this city has 53,000 adults, how many of these adults would you expect to buy their prescription drugs at large drug stores? A) 1060 adults B) 2650 adults C) 10,600 adults D) 26,500 adults
168)
169)
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
170) A
equal congruent Pythagorean
cross products ratio similar
rate unit price leg
right proportion
170)
is a rate with a denominator of 1.
A) ratio
B) unit rate
C) unit price
D) proportion
Determine whether the proportion is true or false. 3 15 3 5 4 = 171) 3 1 2 9
171)
A) True
B) False
Write the sentence as a proportion. 172) 7.3 gallons is to 8.2 minutes as 21.9 gallons is to 24.6 minutes. 7.3 gal 8.2 gal 8.2 gal 21.9 gal = = A) B) 24.6 min 21.9 min 7.3 min 24.6 min C)
7.3 gal 21.9 gal = 8.2 min 24.6 min
D)
Write the rate as a fraction in simplest form. 173) 336 hours for 30 projects 336 hr 56 hr A) B) 56 projects 6 projects
172)
7.3 gal 8.2 gal = 21.9 min 24.6 min
56 hr C) 5 projects
30 hr D) 56 projects
Write the ratio or rate as a fraction in simplest form. 174) Lake County's smallest forest preserve is 900 acres. Orange County's smallest forest preserve is 500 acres. Find the ratio of the acreage of Lake County's forest preserve to Orange County's forest preserve. 9 500 900 5 A) B) C) D) 5 900 500 9
27
173)
174)
Given that the pair of triangles is similar, find the length of the side labeled n. Round your results to 1 decimal place, if necessary. 175) 175) 15.9
n
A) 30.1
5.3
9.9
B) 29.7
C) 157.4
D) 3.3
Given that the pair of triangles is similar, find the unknown length of the side labeled with a variable. 176)
1.60000002 0.90000001
A) 0.80000001
x
0.45000001
B) 0.253125
C) 8
D) 3.20000005
Solve. 177) A toy maker wants to make a triangular mainsail for a toy sailboat in the same shape as a full-size sailboat's mainsail. Use the diagram to find the length of the toy's missing side. Round to the nearest hundredth if necessary.
19.2 ft
177)
20.8 ft 3.6 ft
8 ft A) 0.96 ft
176)
x ft
1.5 ft B) 3.9 ft
C) 8 ft
D) 6 ft
178) The scale on a map states that 1 centimeter corresponds to 40 kilometers. On the map, two cities are 9 cm apart. Find the actual distance. A) 36 km B) 3600 km C) 36,000 km D) 360 km
178)
Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth. 179) leg = 3, hypotenuse = 14 179) A) 4.123 B) 14.318 C) 13.675 D) 3.317
28
Find the unknown length in the right triangle. If necessary, approximate the length to the nearest thousandth. 180) 180) ?
5 cm
14 cm A) 110.5 cm
B) 9.5 cm
C) 221 cm
D) 14.866 cm
Determine whether the proportion is true or false. 15 4 = 181) 10 3
181)
A) True
B) False
Fill in the blank with one of the words or phrases listed below. not equal unit rate hypotenuse
equal congruent Pythagorean
cross products ratio similar
rate unit price leg
182) A triangle with one right angle is called a A) similar
right proportion
182)
triangle.
B) Pythagorean
C) hypotenuse
D) right
Write the sentence as a proportion. 1 2 183) 3 cups of chocolate chips is to 24 cupcakes as 6 cups of chocolate chips is to 48 cupcakes. 5 5 3
A)
B)
C)
D)
1 cups chocolate chips 5 24 cupcakes
3
1 cups chocolate chips 5
6
2 cups chocolate chips 5
3
1 cups chocolate chips 5
2 6 cups chocolate chips 5
6 =
=
183)
2 cups chocolate chips 5 48 cupcakes
24 cupcakes 48 cupcakes
24 cupcakes 48 cupcakes
Solve. 184) Richard Saltwood's car averages 520 miles on its 20-gallon tank of gas. If Richard runs out of gas 3 and a mechanic comes to his rescue with 4 gallons of gas, determine how far his car can go. 4 Round to the nearest mile. A) 46 mi
B) 247 mi
C) 125 mi
29
D) 124 mi
184)
Write the rate as a fraction in simplest form. 185) 11 cars for 66 people 6 cars 11 cars A) B) 1 person 66 people
11 cars C) 6 people
1 car D) 6 people
185)
Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth. 186) leg = 11, leg = 4 186) A) 11.705 B) 2.646 C) 3.873 D) 10.247
Solve. 187) The zoo has hired a landscape architect to design the triangular lobby of the children's petting zoo. In his scale drawing, the longest side of the lobby is 11 cm. The shortest side of the lobby is 4 cm. The longest side of the actual lobby will be 49 m. How long will the shortest side of the actual lobby be? A) 0.2 m B) 134.8 m C) 17.8 m D) 1.3 m 188) Yearly homeowner property taxes are figured at a rate of $1.55 tax for every $100 of home value. Find the property taxes on a condominium valued at $131,000. A) $2030.50 B) $2032.05 C) $203.05 D) $1311.55
30
187)
188)
Answer Key Testname: CHAPTER 6 1) B 2) B 3) B 4) B 5) C 6) A 7) C 8) C 9) C 10) B 11) C 12) B 13) D 14) D 15) C 16) D 17) D 18) C 19) C 20) A 21) C 22) C 23) B 24) D 25) B 26) D 27) C 28) A 29) C 30) C 31) C 32) C 33) B 34) C 35) B 36) C 37) B 38) D 39) A 40) C 41) A 42) B 43) D 44) C 45) D 46) C 47) B 48) D 49) C 50) B 31
Answer Key Testname: CHAPTER 6 51) A 52) D 53) A 54) B 55) B 56) A 57) B 58) B 59) B 60) C 61) A 62) B 63) D 64) C 65) D 66) D 67) B 68) C 69) A 70) B 71) B 72) A 73) B 74) C 75) D 76) B 77) B 78) B 79) A 80) B 81) C 82) B 83) B 84) D 85) D 86) D 87) B 88) B 89) B 90) C 91) D 92) A 93) C 94) B 95) A 96) A 97) C 98) A 99) C 100) A 32
Answer Key Testname: CHAPTER 6 101) A 102) D 103) C 104) A 105) C 106) D 107) A 108) D 109) D 110) B 111) D 112) D 113) A 114) B 115) A 116) B 117) B 118) B 119) A 120) D 121) B 122) B 123) B 124) C 125) D 126) B 127) C 128) D 129) D 130) B 131) B 132) C 133) A 134) D 135) B 136) B 137) D 138) A 139) B 140) A 141) A 142) C 143) C 144) C 145) B 146) B 147) A 148) A 149) C 150) A 33
Answer Key Testname: CHAPTER 6 151) B 152) B 153) D 154) C 155) A 156) C 157) B 158) D 159) B 160) B 161) D 162) B 163) C 164) C 165) C 166) B 167) A 168) D 169) D 170) B 171) B 172) C 173) C 174) A 175) B 176) A 177) B 178) D 179) C 180) D 181) B 182) D 183) A 184) D 185) D 186) A 187) C 188) A
34
Chapter 7 Exam Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve.
1) A house recently sold for $375,380. The commission rate on the sale is 6%. If a real estate agent is to receive 40% of the commission, find the amount received by the agent. A) $90.09 B) $9,009.12 C) $90,091.20 D) $900.91
1)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 2) The enrollment at a local college decreased by 13% over last year's enrollment of 2,400. Find the 2) current enrollment. A) 2,088 students B) 2,712 students C) 312 students D) 2,387 students
Solve.
3) Annie borrows $3,700 and agrees to pay it back in 9 years. If the simple interest rate is 10%, find the total amount she pays back. A) $33,300 B) $37,000 C) $3,330 D) $7,030
3)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 4) Sales at a local ice cream shop went up 80% in 5 years. If 24,000 ice cream cones were sold in the 4) current year, find the number of ice cream cones sold 5 years ago. (Round to the nearest integer, if necessary.) A) 13,333 ice cream cones B) 4,800 ice cream cones C) 30,000 ice cream cones D) 19,200 ice cream cones
Solve.
5) Find the amount of discount when the original price is $37,100.00 and the discount rate is 32%. A) $35,912.80 B) $25,228.00 C) $11,872.00 D) $1,187.20
5)
6) Find the original price when the discount rate is 50% and the amount of discount is $317.50. A) $15,875.00 B) $6.35 C) $635.00 D) $158.75
6)
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
7) The percent equation is
percent of decrease sale price total price
commission 0.01 100%
· percent =
.
A) base; amount C) amount; base
1 100
7)
B) base; commission D) commission; amount
Translate to an equation and solve. 8) What percent of 150 is 34.5? A) 230% B) 23%
C) 2.3%
1
D) 0.23%
8)
Translate the question into an equation. Do not solve. 9) 11% of 83 is what number? A) 11 · 83 = x B) 11% = 83 · x
C) 11% · x = 83
D) 11% · 83 = x
Write the decimal as a percent. 10) 0.092 A) 0.092%
B) 92%
C) 9.2%
D) 0.92%
11) 0.001 A) 0.01%
B) 0.1%
C) 0.001%
D) 1%
C) 28
D) 2,800
Translate to an equation and solve. 12) 175% of 16 is what number? A) 2.8 B) 280
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 13) 4.7 is what percent of 17.8? A) 3.79% B) 26.40% C) 0.26%
D) 378.72%
Find the total amount in the compound interest account. 14) $90,000 is compounded daily at a rate of 9% for 1 year. A) $76,500.00 B) $118,800.00 C) $98,100.00
D) $160,200.00
9)
10)
11)
12)
13)
14)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 15) The enrollment at a local college increased by 15% over last year's enrollment of 2,800. Find the 15) current enrollment. A) 2,815 students B) 420 students C) 7,000 students D) 3,220 students Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
16)
compound interest amount of discount percent of increase
percent of decrease sale price total price
commission 0.01 100%
1 100
16)
= purchase price + sales tax.
A) Amount of discount C) Sales tax
B) Commission D) Total price
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 17) A sales tax of $6.41 is added to an item's price of $299.99. Find the sales tax rate. Round to the 17) nearest whole percent. A) 2% B) 23% C) 47% D) 4%
Solve.
18) A salesperson earned a commission of $6,226 for selling $56,600 worth of watches to various stores. Find the commission rate. A) 0.9% B) 1.1% C) 9.1% D) 11%
2
18)
Write the fraction or mixed number as a percent. 13 Round to the nearest hundredth percent. 19) 15 A) 8.67%
19)
B) 8.667%
C) 86.67%
D) 86.7%
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 20) 16 is what percent of 50? A) 32% B) 3.2% C) 3,200%
D) 0.32%
Write the percent as a decimal. 21) 625% A) 62.5
B) 625
C) 6.25
D) 0.625
Write the decimal as a percent. 22) 0.79 A) 79%
B) 0.079%
C) 790%
D) 7.9%
20)
21)
22)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 23) A sales representative is paid a commission rate of 3.8% on all sales. Find her commission if her 23) sales were $123,530. A) $32,507.89 B) $128,224.14 C) $3,250.79 D) $4,694.14
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 24) 7,920 is what percent of 3,300? A) 240% B) 24% C) 42%
D) 2.4%
24)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 25) 60% of the accountants in a business are female. If there are 220 accountants altogether, how many 25) accountants are female? A) 367 accountants B) 132 accountants C) 88 accountants D) 27 accountants
Write the fraction or mixed number as a percent. 7 26) 8 A) 85.5%
26)
B) 85%
C) 87.5%
D) 87%
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 27) The enrollment at a local college decreased by 6% over last year's enrollment of 2,200. Find the 27) decrease in enrollment. A) 132 students B) 2,068 students C) 2,332 students D) 1,320 students
Solve.
28) In a survey of 100 people, 33 preferred peach syrup on their ice cream. What percent preferred peach syrup? 33 67 % % A) B) 67% C) 33% D) 100 100
3
28)
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
29)
percent of decrease sale price total price
commission 0.01 100%
1 100
29)
= discount rate · original price.
A) Sales tax C) Total price
B) Amount of discount D) Sales price
Write the percent as a decimal. 30) 0.58% A) 0.0058
B) 0.058
C) 0.58
D) 0.0068
30)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 31) A union contract calls for a 7.7% salary increase for all employees. Determine the increase for a 31) worker who is currently making $47,280. A) $50,920.56 B) $3,640.56 C) $36,405.60 D) $43,639.44 Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
32)
compound interest amount of discount percent of increase
percent of decrease sale price total price
commission 0.01 100%
1 100
32)
= tax rate · purchase price.
A) Total price C) Amount of discount
B) Commission D) Sales tax
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 33) $1,440 is compounded annually at 5%. Find the total amount in the account after 5 years. 33) A) $1,837.87 B) $1,728.00 C) $1,750.33 D) $1,800.00
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 34) What percent of 137 is 18.2? A) 0.08% B) 752.75% C) 13.28%
D) 0.13%
Write the percent as a fraction or mixed number in simplest form. 35) 31.25% 1 5 5 A) 31 B) C) 31 4 16 16
5 D) 17
Fill in the blank. 36) A fraction written as a percent is less than 100% when the numerator is _____________ than the greater/less denominator. A) less
B) greater
4
34)
35)
36)
Write the percent as a fraction or mixed number in simplest form. 3 37) 4 % 8 A) 2
3 16
B)
7 16
C)
37) 7 160
D)
7 80
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
38)
compound interest amount of discount percent of increase
percent of decrease sale price total price
1 100
is compounded not only on the principal, but also on interest already earned in previous compounding periods. A) Compound interest C) Percent of decrease
Solve.
commission 0.01 100%
B) Commission D) Percent of increase
39) In a surveyed area, 0.2% of the residents signed up for the local park district pool pass. Write this percent as a decimal. A) 0.002 B) 0.0002 C) 0.02 D) 0.2
Write the fraction or mixed number as a percent. 9.499780464e+14 40) 3.518437209e+15 A) 27%
38)
39)
40)
B) 270%
C) 0.27%
D) 2.7%
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 41) Richard has $27.72 deducted from his monthly salary of $1,540 for a vacation savings plan. What 41) percent of Richard's salary is withheld for the vacation savings plan? What percent of Richard's salary is not withheld for vacation savings plan? A) 2.8%; 972% B) 98.2%; 1.8% C) 972%; 2.8% D) 1.8%; 98.2%
Translate the question into a proportion. Do not solve. 42) What percent of 400 is 60? 60 p a 60 = = A) B) 400 100 400 100
400 p = C) 60 100
400 60 = D) b 100
Write the fraction or mixed number as a percent. 1 43) 12 1 A) 8 % 3
Solve.
42)
43)
B) 12%
C)
5 % 6
44) Find the simple interest when: Principal = $330, Rate = 9%, Time = 8 years. A) $297.00 B) $2,376.00 C) $29.70
5
D) 120%
D) $237.60
44)
Translate the question into an equation. Do not solve. 45) 72% of what number is 65? A) 72% · x = 65 B) 72 · 65 = x Solve.
C) 72 · x = 65
D) 72% = 65 · x
46) A tax of $6,383 is added to a bulk order's price of $49,100. Find the sales tax rate. A) 7.7% B) 13% C) 1.3% D) 0.8%
45)
46)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 47) Last year, Nora bought a share of stock for $8.70. She was paid a dividend of $5.22. Determine what 47) percent of the stock price is the dividend. A) 1.7% B) 60% C) 6% D) 40%
Find the total amount in the compound interest account. 48) $8,000 at 4% compounded semiannually for 10 years A) $11,887.58 B) $9,751.96 C) $11,200.00
D) $11,841.95
Translate the question into a proportion. Do not solve. 49) 10% of what number is 22.7? 10 22.7 22.7 10 = = A) B) b 100 b 100
a 10 = D) 22.7 100
Solve.
a 22.7 = C) 10 100
48)
49)
50) In a survey of 100 people, 13 preferred mustard on their hot dogs. What percent preferred mustard? 13 % A) 0.13% B) 1.3% C) D) 13% 100
50)
51) What number is 48% of 90? A) 432 B) 43,200
51)
C) 43.2
6
D) 4,320
Find the amount of increase and the percent increase to complete the table. Round percents to the nearest tenth, if necessary. 52) 52) Original Amount New Amount Amount of Increase Percent Increase 70 100 6 27 80 112 104 312
A)
Original Amount 70 6 80 104
New Amount 100 27 112 312
Amount of Increase 30 21 32 208
Percent Increase 4.3% 35% 4% 20%
B)
Original Amount 70 6 80 104
New Amount 100 27 112 312
Amount of Increase 30 21 32 208
Percent Increase 21.4% 175% 20% 100%
C)
Original Amount 70 6 80 104
New Amount 100 27 112 312
Amount of Increase 30 21 32 208
Percent Increase 85.7% 700% 80% 400%
D)
Original Amount 70 6 80 104
New Amount 100 27 112 312
Amount of Increase 30 21 32 208
Percent Increase 42.9% 350% 40% 200%
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 53) Toby is taking Cora out to dinner. He has $65.55 to spend. He wants to tip the server 15% of the 53) cost of the meal. How much can he spend on the meal? A) $9.83 B) $57.00 C) $43.70 D) $55.72
Solve.
54) Find the sale price when the original price is $85.00 and the discount rate is 40%. A) $3.40 B) $51.00 C) $34.00 D) $81.60
54)
55) Approximately 29.9% of all students at a city college commute to school. Write this percent as a fraction or mixed number in simplest form. 299 99 299 9 A) B) 2 C) D) 29 1000 100 10,000 10
55)
7
56) Find the amount of discount when the original price is $50.00 and the discount rate is 20%. A) $40.00 B) $10.00 C) $1.00 D) $49.00 Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 57) 4,558 is what percent of 4,300? A) 10.6% B) 106% C) 94% Solve.
D) 1.06%
56)
57)
58) A $230.00 dress is on sale for 35% off. Find the discount and the sale price. A) Discount: $8.05; sale price: $149.50 B) Discount: $80.50; sale price: $149.50 C) Discount: $80.50; sale price: $2,219.50 D) Discount: $8.05; sale price: $2,219.50
58)
59) The sales tax on the purchase of a tractor is $1,922.13. If the tax rate is 6.3%, find the purchase price of the tractor. A) $32,432.13 B) $19,221.30 C) $30,510.00 D) $586,441.86
59)
Write the decimal as a percent. 60) 0.9 A) 0.09%
B) 90%
C) 900%
D) 0.9%
60)
A group of 100 adults were asked what type of cake was their favorite. The circle graph shows the results.
61) What percent preferred chocolate cake? 1 % A) 43% B) 43
100 % C) 43
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 62) What number is 22% of 21? A) 4.62 B) 462 C) 0.462
8
43 % D) 100
D) 46.2
61)
62)
Determine what percent of the figure is shaded. 63)
A) 10%
Solve.
63)
B) 75%
C) 25%
1 D) 33 % 3
64) A diamond necklace normally sells for $35,542. If it is first discounted by 25% and then taxed at 6%, find the total price. A) $28,260.89 B) $28,255.89 C) $28,265.89 D) $28,355.89
64)
65) A $320 chair is on sale at 20% off. Find the discount. A) $6.40 B) $64.00
65)
C) $313.60
D) $256.00
66) 14% of students at a small college lived at home while attending classes. Write this percent as a decimal. A) 0.014 B) 0.14 C) 14.0 D) 1.4 Write the percent as a fraction or mixed number in simplest form. 67) 2,400% A) 12 B) 240 C) 24
D) 48
Write the percent as a decimal. 68) 100% A) 100
D) 0.01
Solve.
B) 1
C) 0.1
69) A sales representative is paid a commission rate of 6.5%. Find her commission if she sold $103,020 worth of goods last month. A) $1,584.92 B) $109,716.30 C) $15,849.23 D) $6,696.30
Translate the question into a proportion. Do not solve. 70) 29% of 31.9 is what number? 31.9 p 31.9 29 = = A) B) 29 100 b 100
a 29 = C) 31.9 100
29 p = D) 31.9 100
Find the total amount in the compound interest account. 71) $1,310 is compounded daily at a rate of 7% for 3 years. A) $1,604.81 B) $1,613.19 C) $1,616.09
D) $1,610.32
Translate to an equation and solve. 72) 16 is 2% of what number? A) 8,000
D) 800
B) 80
C) 32
9
66)
67)
68)
69)
70)
71)
72)
Write the percent as a decimal. 73) 77.08% A) 0.07708 Solve.
B) 77.08
C) 0.7708
74) A refrigerator sells for $759. If the sales tax rate is 7.8%, what is the total price? A) $592.02 B) $818.20 C) $1,351.02
Translate to an equation and solve. 75) What percent of 75,534 is 23,415.54? A) 3.2% B) 31%
C) 0.31%
D) 7.708
D) $59.20
D) 0.032%
73)
74)
75)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 76) In the past ten years, the population of a city decreased from 145,000 to 140,000. Find the percent 76) decrease. A) 3.6% B) 2,800% C) 3.4% D) 96.6%
Solve.
77) Find the simple interest when: Principal = $1,160, Rate = 8.5%, Time = 2 years. A) $197.20 B) $98.60 C) $1,972.00 D) $986.00
77)
78) Write the equivalent decimal and percent for 2. A) 0.0002, 0.02% B) 0.100, 100%
78)
C) 0.002, 0.2%
D) 2, 200%
Translate the question into an equation. Do not solve. 79) 7 is what percent of 70? A) 7 · x = 70 B) 7 · x = 70%
C) 7 · 70 = x
D) 7 = x · 70
Solve. Round to the nearest tenth, if necessary. 80) What percent of 114,738 is 66,549? A) 58% B) 0.6%
C) 580%
D) 5.8%
Write the fraction or mixed number as a percent. 1 81) 1 2 A) 1.5% Solve.
79)
80)
81)
B) 150%
C) 15%
D) 0.15%
82) A house sold for $192,000 and the real estate agent earned a commission of $7,680. Find the commission rate. A) 0.4% B) 4.0% C) 25% D) 2.5%
Write the percent as a fraction or mixed number in simplest form. 83) 75% 1 3 1 A) 1 B) C) 7 2 8 2
10
3 D) 4
82)
83)
Translate to an equation and solve. 84) 0.7 is 5% of what number? A) 140 Solve.
B) 14
C) 0.14
D) 1.4
84)
85) Tonisha went to dinner. The bill for dinner was $36.90. If she left a 15% tip, how much was her total cost for dinner, rounded to the nearest cent? A) $42.44 B) $21.22 C) $47.97 D) $79.34
85)
86) Mario saved 0.5 of what he earned over the summer. Write this decimal as a percent. A) 0.05% B) 50% C) 500% D) 0.5%
86)
87) In small firms in a certain country, 25% of full-time employees receive medical insurance benefits. Write 25% as a fraction. 1 1 1 1 A) B) 2 C) D) 8 2 4 2
87)
Determine what percent of the figure is shaded. 88)
A) 62.5% Write the decimal as a percent. 89) 5.00 A) 50%
88)
B) 50%
C) 60%
D) 37.5%
B) 0.05%
C) 0.5%
D) 500%
89)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 90) One day 48 students were sick with the flu. If this were 32% of the total number of students, how 90) many students were there altogether? A) 1,536 students B) 1,500 students C) 15,360 students D) 150 students
Solve.
91) A $2,800 sofa is on sale at 25% off. Find the discount. A) $2,730.00 B) $2,100.00 C) $70.00
D) $700.00
92) How much commission will an agent make on the sale of a $538,500 house if she receives 1.6% of the selling price? A) $8,616.00 B) $861.60 C) $3,365.62 D) $33,656.25 Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 93) 953 is what percent of 708? A) 0.14% B) 1.35% C) 74.29% Solve.
D) 134.6%
94) Find the amount of discount when the original price is $67.70 and the discount rate is 40%. A) $64.99 B) $2.71 C) $40.62 D) $27.08
11
91)
92)
93)
94)
95) A real estate agent earned $3,880 for selling a property. If his commission rate is 8%, find the selling price of the property. A) $475,000 B) $49,500 C) $48,500 D) $485,000 Translate to an equation and solve. 96) 133 is what percent of 70? A) 5.26% Solve.
B) 1.9%
C) 190%
97) A $260 painting is on sale at 10% off. Find the sale price. A) $26.00 B) $2,574.00 C) $234.00
D) 52.63%
D) $2.60
95)
96)
97)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 98) In an office building, 15 offices are currently being unrented. This represents 6% of the total units. 98) How many offices are there in the building? A) 90 offices B) 250 offices C) 2,500 offices D) 25 offices
Solve. 99) In a particular city, A) 0.002%
1 1 of the residents subscribe to the local newspaper. Write as a percent. 500 500
B) 0.2%
C) 0.02%
99)
D) 0.0002%
Find the total amount in the compound interest account. 100) $20,000 at 8.7% compounded semiannually for 6 years. A) $33,337.99 B) $25,821.69 C) $33,519.81
D) $32,991.89
Translate to an equation and solve. 101) 3.6 is 72% of what number? A) 0.5 B) 2.592
C) 0.05
D) 5
102) 120% of what number is 90? A) 750 B) 75
C) 14,400
D) 144
100)
101)
102)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 103) A company increased the number of its employees from 500 to 580. What was the percent increase 103) in employees? A) 53.7% B) 16% C) 86.2% D) 13.8%
Solve. Round to the nearest tenth, if necessary. 104) What number is 24.6% of 52,343? A) 12,876.4 B) 128,763.8
C) 1,287,637.8
12
D) 128.8
104)
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
percent of decrease sale price total price
105) The decimal equivalent of the % symbol is A) 100%
106)
B)
=
commission 0.01 100%
1 100
105)
.
1 100
C) 0.01
D) amount
amount of decrease . original amount
106)
A) Percent of decrease C) Amount of discount
B) Percent of increase D) Compound interest
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 107) The Whitcher family paid 13% of the purchase price of a $205,000 home as a down payment. 107) Determine the amount of the down payment. A) $26,650 B) $2,665 C) $15,769 D) $267 The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to answer the question.
108) If State University has approximately 40,000 students, about how many would you expect to consume 5-6 pizzas in a typical month? A) 13,600 students B) 720 students C) 1,360 students D) 7,200 students Translate to an equation and solve. 109) 0.6% of what number is 7.8? A) 780 B) 1,300
C) 2,600
D) 650
Write the percent as a decimal. 110) 6.2% A) 0.62
C) 6.2
D) 62.0
B) 0.062
13
108)
109)
110)
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
percent of decrease sale price total price
111) The fraction equivalent of the % symbol is A) 100%
Write the decimal as a percent. 112) 6.2 A) 620%
commission 0.01 100%
1 100
111)
.
B) 0.01
C)
1 100
D) base
B) 0.0062%
C) 62%
D) 0.62%
Solve. 113) Find the sale price when the original price is $39.00 and the discount rate is 41%. A) $1.60 B) $37.40 C) $15.99 D) $23.01
112)
113)
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
percent of decrease sale price total price
114)
= original price - amount of discount.
A) Total price C) Amount of discount
commission 0.01 100%
1 100
114)
B) Sales price D) Sales tax
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 115) 125% of 28 is what number? A) 3.5 B) 3,500 C) 350
D) 35
Solve. 116) To determine the tip on a restaurant bill, a patron rounds his bill to the nearest dollar and then calculates 15% of that dollar amount. If the bill came to $48.53, determine the tip that he left. A) $7.55 B) $7.35 C) $7.45 D) $7.25 117) A radio costs $84 and a set of headphones costs $18. What is the total price for purchasing these items if the sales tax rate is 8.5%? A) $110.67 B) $188.70 C) $8.67 D) $102.00 Write the decimal as a percent. 118) 0.3572 A) 3572%
B) 35.72%
C) 3.572%
14
D) 0.3572%
115)
116)
117)
118)
Complete the table. 119) Original Price
Discount Rate
$95 $69 $149.50 $176.60
A)
B)
C)
D)
Amount of Discount
Sale Price
119)
10% 20% 50% 40%
Original Price
Discount Rate
$95 $69 $149.50 $176.60
10% 20% 50% 40%
Original Price
Discount Rate
$95 $69 $149.50 $176.60
10% 20% 50% 40%
Original Price
Discount Rate
$95 $69 $149.50 $176.60
10% 20% 50% 40%
Original Price
Discount Rate
$95 $69 $149.50 $176.60
10% 20% 50% 40%
Amount of Discount $9.50 $13.80 $74.75 $70.64 Amount of Discount $85.00 $49.00 $99.50 $136.60 Amount of Discount $85.50 $55.20 $74.75 $105.96 Amount of Discount $0.95 $1.38 $7.48 $7.06
Sale Price $85.50 $55.20 $74.75 $105.96 Sale Price $10.00 $20.00 $50.00 $40.00 Sale Price $9.50 $13.80 $74.75 $108.98 Sale Price $94.05 $67.62 $142.02 $169.54
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 120) The mosquito population within a defined area is estimated at 55 million. Due to weather 120) conditions, it is projected that this population will increase by 60%. Find the increase and the projected population. A) increase: 33 million mosquitos projected population: 88 million mosquitos B) increase: 3,300 million mosquitos projected population: 3,355 million mosquitos C) increase: 3,300 million mosquitos projected population: 3,245 million mosquitos D) increase: 33 million mosquitos projected population: 22 million mosquitos
15
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
121) In a mathematical statement, A) is
percent of decrease sale price total price
commission 0.01 100%
1 100
121)
usually means "multiplication."
B) amount
C) percent
D) of
Solve. 122) A company borrows $35,000 for 9 years at a simple interest of 13.5% to buy trucks. Find the total amount paid on the loan. A) $77,525.00 B) $39,252.50 C) $425,250.00 D) $42,525.00
122)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 123) Find the amount of decrease and the percent decrease if the original amount is 225 and the new 123) amount is -9,900. A) 10,125; 4,495% B) 10,125; 4,600% C) 10,125; 4,510% D) 10,125; 4,500%
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 124) 5% of 200 is what number? A) 100 B) 10 C) 1
D) 0.1
Solve. 125) For a recruitment brochure, a college presented the following graph indicating the continental homes of its student population.
Write the percent of students from North America as a fraction in simplest form. 688 86 172 688 A) B) C) D) 10 125 250 100
16
124)
125)
Complete the table. 126) Original Price
Discount Rate
$330 $530 $63,400 $86,600
A)
B)
C)
D)
Amount of Discount
35% 25% 15% 12%
Original Price
Discount Rate
$330 $530 $63,400 $86,600
35% 25% 15% 12%
Original Price
Discount Rate
$330 $530 $63,400 $86,600
35% 25% 15% 12%
Original Price
Discount Rate
$330 $530 $63,400 $86,600
35% 25% 15% 12%
Original Price
Discount Rate
$330 $530 $63,400 $86,600
35% 25% 15% 12%
Amount of Discount $35.00 $25.00 $15.00 $12.00
Sale Price $295.00 $505.00 $63,385.00 $86,588.00
Amount of Discount $115.50 $132.50 $9,510.00 $10,392.00
Sale Price $214.50 $397.50 $53,890.00 $76,208.00
Amount of Discount $57.75 $66.25 $4,755.00 $5,196.00
Sale Price $272.25 $463.75 $58,645.00 $81,404.00
Amount of Discount $214.50 $397.50 $53,890.00 $76,208.00
Translate the question into a proportion. Do not solve. 127) 324 is 85% of what number? 85 p 324 85 = = A) B) 324 100 b 100
Sale Price $115.50 $132.50 $9,510.00 $10,392.00
85 324 = C) b 100
Solve. 128) Write the equivalent fraction and percent for 0.075. 2.638827907e+15 ; 0.75% A) 3.518437209e+17 C)
126)
Sale Price
B)
2.638827907e+15 ; 7.5% 3.518437209e+16
2.638827907e+15 ; 0.0075% 3.518437209e+15
D) 7
17
a 85 = D) 324 100
1.759218604e+14 ; 0.075% 3.518437209e+14
127)
128)
Write the decimal as a percent. 129) 0.52 A) 520% 130) 29
A) 0.29%
B) 5.2%
C) 0.052%
D) 52%
B) 290%
C) 2.9%
D) 2900%
129)
130)
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
131) In the percent proportion A)
amount 100
percent of decrease sale price total price
=
B)
commission 0.01 100%
1 100
percent . 100
base amount
131) C)
base 100
D)
amount base
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 132) The number of video stores in a region recently decreased from 61 to 43. Find the percent decrease. 132) A) 41.9% B) 70.5% C) 238.9% D) 29.5%
133) A union contract calls for a 3.0% salary increase for all employees. Determine the new salary for a worker who is currently making $38,090. A) $38,120.00 B) $30.00 C) $39,232.70 D) $1,142.70 Write the percent as a decimal. 134) 36% A) 0.36
B) 0.036
C) 36.0
D) 3.6
133)
134)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 135) The enrollment at a local college increased 4% over last year's enrollment of 3,900. Find the current 135) enrollment. A) 3,904 students B) 5,460 students C) 156 students D) 4,056 students
For the food described, find the percent of total calories from fat. If necessary, round to the nearest tenth of a percent. 136) Salad dressing serving size 60 tablespoons. 136)
Total From fat
Calories 60 36
A) 60% Write the percent as a decimal. 137) 20% A) 0.2
B) 167%
C) 6%
B) 2
C) 0.02 18
D) 30%
D) 20.0
137)
Solve. 138) Find the discount rate when the original price is $112.00 and the amount of the discount is $33.60. A) 70% B) 7% C) 1% D) 30%
138)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 139) Due to a lack of funding, the number of students enrolled at City College went from 9,000 last year 139) to 3,000 this year. Find the percent decrease in enrollment. A) 33.3% B) 300% C) 200% D) 66.7%
Find the total amount in the compound interest account. 140) $400 at 14% compounded quarterly for 2 years A) $512.00 B) $428.49
C) $526.72
D) $519.84
Write the percent as a decimal. 141) 18.9% A) 1.89
C) 0.0189
D) 0.189
B) 18.9
140)
141)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 142) Attendance this year at the homecoming football game is 160% of what it was last year. If last year's 142) homecoming football game attendance was 41,000, what is this year's attendance? (Round to the nearest integer, if necessary.) A) 65,600 people B) 3,902 people C) 656,000 people D) 256 people
Solve. 143) Write the equivalent decimal and percent for A) 0.0012; 0.12% Write the percent as a decimal. 144) 700% A) 70
3 . 250
143)
B) 0.12; 0.0012%
C) 0.012; 1.2%
B) 0.7
D) 1.2; 0.012%
C) 7
D) 700
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 145) 0.6 is 5% of what number? A) 0.12 B) 12 C) 1.2
D) 120
144)
145)
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
percent of decrease sale price total price
146) To write a decimal or fraction as a percent, multiply by A) percent
B)
1 100
C) 0.01
19
commission 0.01 100%
1 100
146)
.
D) 100%
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 147) If the local sales tax rate is 9.7%, find the total amount charged for a refrigerator priced at $857. 147) A) $83.13 B) $940.13 C) $831.29 D) $1,688.29
Solve. Round your answer to the nearest whole. 148) Linda got 6 out of the 36 questions right on last Monday's test. What percent of the test did she do correctly? A) 17% B) 50% C) 2% D) 600% Write the percent as a decimal. 149) 0.1% A) 0.001
B) 0.1
C) 0.002
Solve. 150) Find the simple interest when: Principal = $7,400, Rate = 10%, Time = 3 A) $740.00
B) $24,050.00
Translate the question into an equation. Do not solve. 151) What number is 41% of 68? A) x · 41% = 68 B) x · 41 = 68
D) 0.01
1 years. 4
C) $7,400.00
D) $2,405.00
C) x = 41% · 68
D) x = 41 · 68
Determine what percent of the figure is shaded. 152)
2 A) 66 % 3
Write the percent as a decimal. 154) 0.4% A) 0.005
149)
150)
151)
152)
B) 60%
C) 30%
D) 40%
Write the fraction or mixed number as a percent. 37 153) 50 A) 1,000%
148)
153)
B) 7.4%
C) 37%
D) 74%
B) 0.4
C) 0.004
D) 0.04
Solve. 155) A basketball player made 51 out of 100 attempted free throws. What percent of free throws was made? 51 % A) B) 0.51% C) 51% D) 5.1% 100
20
154)
155)
Write the percent as a fraction or mixed number in simplest form. 1 156) 12 % 3 A)
37 300
B) 1233
1 3
C) 6
156) 1 6
D) 123
1 3
Solve. 157) Find the simple interest when: Principal = $276, Rate = 24%, Time = 13 months. A) $66.24 B) $861.12 C) $8,611.20 D) $71.76
157)
Find the total amount in the compound interest account. 158) $11,000 at 3% compounded annually for 7 years A) $13,310.00 B) $12,980.00
C) $13,528.61
D) $13,134.58
158)
Write the percent as a decimal. 159) 200% A) 20
B) 200
C) 0.2
D) 2
Translate to an equation and solve. 160) 484 is what percent of 605? A) 160% B) 85%
C) 70%
D) 80%
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 161) 127.4 is what percent of 14? A) 910% B) 1.1% C) 10.99% Find the total amount in the compound interest account. 162) $220 at 12% compounded annually for 17 years A) $1,348.69 B) $642.40 163) $8,600 at 5.2% compounded annually for 4 years. A) $9,047.20 B) $10,388.80
D) 9.1%
C) $668.80
D) $1,510.52
C) $11,080.95
D) $10,533.23
159)
160)
161)
162)
163)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 164) The marketing division of a company predicts that 78% of the 450 special promotional sale items 164) will sell on the first day of sale. What percent of the promotional items should be available after the first day of sale? How many special promotional items should be available after the first day of sale? A) 22%; 351 items B) 78%; 99 items C) 78%; 351 items D) 22%; 99 items
165) 20% of the lawyers in a firm are male. If there are 420 lawyers altogether, how many lawyers are male? A) 2,100 lawyers B) 5 lawyers C) 336 lawyers D) 84 lawyers Translate to an equation and solve. 166) 50% of what number is 56? A) 1,120 B) 112
C) 28
21
D) 11.2
165)
166)
167) What number is 42% of 40? A) 16.8 B) 16,800
C) 1,680
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 168) 23 is 4% of what number? A) 5,750 B) 57.5 C) 92
D) 168
D) 575
Solve. 169) In the last election Mr. Thomas received 0.21% of the vote. Write this percent as a decimal. A) 2.1 B) 0.021 C) 0.21 D) 0.0021 170) A money market fund advertises a simple interest rate of 7%. Find the total amount received on an investment of $9,000 for 6 months. A) $12,150.00 B) $12,780.00 C) $9,315.00 D) $315.00 Translate to an equation and solve. 171) What number is 28% of 48? A) 13.44 B) 1.344
C) 134.4
D) 1,344
Write the percent as a decimal. 172) 40% A) 0.29
B) 4
C) 0.04
D) 0.4
Write the decimal as a percent. 173) 0.006 A) 0.6%
B) 0.006%
C) 6%
D) 0.06%
Write the fraction or mixed number as a percent. 21 174) 25 A) 1,000% Write the percent as a decimal. 175) 22% A) 0.022
168)
169)
170)
171)
172)
173)
174)
B) 42%
C) 84%
B) 22.0
C) 2.2
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 176) 75% of 84 is what number? A) 11.2 B) 7 C) 63 Write the percent as a decimal. 177) 0.054% A) 0.000054
167)
B) 0.0054
C) 0.00054
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 178) 90% of what number is 72? A) 64.8 B) 8 C) 80
22
D) 8.4%
D) 0.22
D) 630
D) 5.4
D) 800
175)
176)
177)
178)
Solve. 179) The bar graph shows the percent of books ordered for a promotion that were sold within the promotion period.
Write the percent of Children's Fiction titles sold as a decimal. A) 0.075 B) 7.5 C) 0.75
180) 561 is what percent of 935? A) 50% B) 60% Translate the question into an equation. Do not solve. 181) What percent of 20 is 21? A) 20% · x = 21 B) x · 20 = 21
D) 75.0
C) 65%
D) 120%
C) x = 20 · 21
D) 20% = 21 · x
Solve. 182) A $3,100 computer is on sale at 40% off. Find the sale price. A) $2,976.00 B) $124.00 C) $1,860.00
179)
D) $1,240.00
180)
181)
182)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 183) A union contract calls for a 5.8% salary increase for all employees. Determine the increase that a 183) worker currently making $55,750 under this contract can expect. A) $58,983.50 B) $3,233.50 C) $32,335.00 D) $52,516.50
Write the percent as a fraction or a mixed number in simplest form. 184) 62.5% 5 1 5 A) B) 62 C) 62 8 2 8
5 D) 7
Translate to an equation and solve. 185) 3 is what percent of 25? A) 0.12%
D) 12%
B) 1,200%
C) 1.2%
23
184)
185)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 1 186) Find the simple interest earned on $4,800 saved for 7 years at an interest rate of 17%. 186) 4
A) $5,916.00
B) $816.00
C) $8,160.00
D) $59,160.00
Determine what percent of the figure is shaded. 187)
A) 300%
187)
1 C) 33 % 3
B) 75%
D) 25%
188)
188)
A) 30%
B) 37.5%
C) 60%
D) 62.5%
Write the fraction or mixed number as a percent. 1 189) 6 2 A) 650%
189)
B) 0.65%
C) 65%
D) 6.5%
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 190) A company increased the number of its employees from 160 to 185. Find the percent increase. 190) A) 53.6% B) 13.5% C) 86.5% D) 15.6%
Solve. 191) In a particular city,
5.629499534e+15 of the residents subscribe to the local newspaper. Write this 2.814749767e+17
fraction as a percent. A) 0.02%
B) 2%
C) 0.2%
191)
D) 0.002%
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 192) Find the amount of increase and the percent increase if the original amount is 36 and the new 192) amount is 144. A) 108; 400% B) 108; 310% C) 108; 300% D) 108; 295% Write the fraction as a decimal and then write the decimal as a percent. Round the decimal to three decimal places and the percent to the nearest tenth of a percent. 5 193) 193) 4
A) 0.013; 1.3%
B) 1.25; 125%
C) 0.125; 12.5%
24
D) 12.5; 1,250%
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 194) What number is 83% of 335? A) 27,805 B) 27.81 C) 2,780.5
D) 278.05
194)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 195) A $330.00 dress is on sale for 45% off. Find the discount and the sale price. 195) A) discount: $14.85; sale price: $3,151.50 B) discount: $148.50; sale price: $3,151.50 C) discount: $14.85; sale price: $181.50 D) discount: $148.50; sale price: $181.50
196) The Powell family paid 18% of the purchase price of a $141,000 home as a down payment. Determine the amount of the down payment. A) $25,380 B) $254 C) $2,538 D) $7,833
196)
197) In the past ten years, the population of a city decreased from 105,000 to 90,000. Find the percent decrease. A) 16.7% B) 600% C) 14.3% D) 85.7%
197)
198) An inspector found 12 defective bolts during an inspection. If this is 0.04% of the total number of bolts inspected, how many bolts were inspected? A) 1,200 bolts B) 300 bolts C) 30,000 bolts D) 3,000 bolts
198)
Write the percent as a fraction or a mixed number in simplest form. 199) 0.1% 1 1 1 A) B) C) 1000 100 500
1 D) 2000
199)
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
percent of decrease sale price total price
200)
= commission rate · sales.
commission 0.01 100%
1 100
200)
A) Amount of discount C) Commission
B) Total price D) Sales tax
Solve. 201) In an extended care facility, 0.0391 of the residents require a particular heart medication. Write this decimal as a percent. A) 0.0391% B) 391% C) 0.391% D) 3.91%
201)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 202) 20% of the teachers in a school are female. If there are 270 teachers altogether, how many teachers 202) are female? A) 7 teachers B) 54 teachers C) 216 teachers D) 1,350 teachers
25
Determine what percent of the figure is shaded. 203)
A) 62.5%
203)
B) 50%
C) 60%
Solve. 204) Write the equivalent decimal and percent for 1 A) 0.033; 3 % 3
Translate to an equation and solve. 205) 48 is what percent of 40? A) 1,200%
D) 37.5%
1 . 3
204)
1 B) 0.33; 33 % 3
C) 0.0033;
B) 1.2%
C) 120%
D) 12%
C) 5.0 = 21% · x
D) 5.0 = 21 · x
Translate the question into an equation. Do not solve. 206) 5.0 is 21% of what number? A) 5.0 · 21% = x B) 5.0 · 21 = x
1 % 3
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 207) 38 is what percent of 20? A) 19% B) 1.9% C) 190%
D) 0.0033;
1 % 300
D) 1,900%
Solve. 208) In a large city, 0.001 of the budget went toward city workers' salaries. Write this decimal as a percent. A) 0.001% B) 1% C) 0.1% D) 0.0001% 209) Write the equivalent decimal and fraction for 800%. 8 A) 0.8, B) 800, 800 10
8 D) 0.08, 100
C) 8, 8
205)
206)
207)
208)
209)
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
210)
=
percent of decrease sale price total price
commission 0.01 100%
amount of increase . original amount
1 100
210)
A) Percent of increase C) Compound interest
B) Percent of decrease D) Amount of discount
26
Solve. 211) A dart player made 15 bull's eyes out of 100 attempted throws. What percent of the throws were bull's eyes? 17 3 % % A) 15% B) C) D) 85% 20 20
211)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 212) The enrollment at a local college increased 7% over last year's enrollment of 3,900. Find the increase 212) in enrollment. A) 273 students B) 3,627 students C) 2,730 students D) 4,173 students
Translate to an equation and solve. 213) 14,754 is 120% of what number? A) 122.95 B) 12,295
C) 1,770,480
D) 17,704.8
213)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 214) An entrepreneur borrowed $25,000 from a bank at 5% for 15 months to start a new project. Find the 214) total amount due the bank the end of the 15-month period. A) $1,562.50 B) $40,625.00 C) $26,562.50 D) $43,750.00
Write the percent as a fraction or mixed number in simplest form. 215) 8.5% 17 1 1 A) B) 8 C) 8 200 20 2
85 D) 100
Solve. 216) A house recently sold for $456,310. The commission rate on the sale is 6.5%. If a real estate agent is to receive 80% of the commission, find the amount received by the agent. A) $237.28 B) $237,281.20 C) $23,728.12 D) $2,372.81 Write the percent as a fraction or a mixed number in simplest form. 217) 140% 5 7 4 A) B) C) 2 14 10 5
2 D) 1 5
Solve. 218) $158,000 is borrowed to buy a house. If the simple interest rate on the 25-year loan is 10.25%, find the total amount paid on the loan. A) $4,048,750.00 B) $562,875.00 C) $198,487.50 D) $404,875.00
27
215)
216)
217)
218)
Complete the table. 219) Sale $183,000 $20,000 $512,900 $41,670
Commission Rate 3% 5%
219)
Commission
$35,903.00 $3,750.30
A)
Sale $183,000 $20,000 $512,900 $41,670
Commission Rate 3% 5% 7% 9%
Commission $27,450.00 $5,000.00 $35,903.00 $3,750.30
B)
Sale $183,000 $20,000 $512,900 $41,670
Commission Rate 3% 5% 14% 18%
Commission $54,900.00 $10,000.00 $35,903.00 $3,750.30
C)
Sale $183,000 $20,000 $512,900 $41,670
Commission Rate 3% 5% 3.5% 4.5%
Commission $2,745.00 $500.00 $35,903.00 $3,750.30
D)
Sale $183,000 $20,000 $512,900 $41,670
Commission Rate 3% 5% 7% 9%
Commission $5,490.00 $500.00 $35,903.00 $3,750.30
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 220) Roger earned $850. If Roger gave 5% to charity, how much did he give to charity? 220) A) $425.00 B) $4.25 C) $0.425 D) $42.50
Write the percent as a decimal. 221) 9% A) 9
B) 0.09
Solve. 222) Write the equivalent decimal and fraction for 0.3%. 3 3 A) 0.03; B) 0.003; 10000 1000
C) 0.9
D) 90.0
3 C) 0.0003; 100
3 D) 0.3; 10
223) Find the sale price when the original price is $18,800.00 and the discount rate is 9%. A) $17,108.00 B) $1,692.00 C) $169.20 D) $18,630.80
28
221)
222)
223)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 224) In a recent survey of 2,800 people, 56 said that their favorite color of car was white. What percent of 224) the people surveyed liked white cars? A) 50% B) 2% C) 3% D) 51% A group of 100 adults were asked what type of cake was their favorite. The circle graph shows the results.
225) What type of cake was preferred by the most adults? What percent preferred this type of cake? A) spice; 4% C) chocolate;
225)
B) chocolate; 43% 43 % 100
D) spice;
1 % 25
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 226) Before taking a typing course, Bruce could type 17 words per minute. By the end of the course, he 226) was able to type 50 words per minute. Find the percent increase. A) 194.1% B) 74.6% C) 34% D) 66%
Determine what percent of the figure is shaded. 227)
A) 20%
227)
2 C) 66 % 3
B) 40%
D) 150%
Solve. 228) Video games made up 14.5% of the total revenue for a small specialty store. Write this percent as a decimal. A) 1.45 B) 14.5 C) 0.0145 D) 0.145
29
228)
2 229) Write the equivalent decimal and fraction for 66 %. 3
A) 0.066;
1 150
Complete the table. 230) Purchase Price $25 $200 $494 $90
2 3
C) 0.0066;
Sales Tax
Total Price
B) 0.66; 66
Tax Rate 7% 8% 9.5% 7.8%
229) 1 66
A)
Purchase Price $25 $200 $494 $90
Tax Rate 7% 8% 9.5% 7.8%
Sales Tax $17.50 $160.00 $469.30 $70.20
Total Price $42.50 $360.00 $963.30 $160.20
B)
Purchase Price $25 $200 $494 $90
Tax Rate 7% 8% 9.5% 7.8%
Sales Tax $1.75 $16.00 $46.93 $7.02
Total Price $23.25 $184.00 $447.07 $82.98
C)
Purchase Price $25 $200 $494 $90
Tax Rate 7% 8% 9.5% 7.8%
Sales Tax $1.17 $10.67 $31.29 $4.68
Total Price $26.17 $210.67 $525.29 $94.68
D)
Purchase Price $25 $200 $494 $90
Tax Rate 7% 8% 9.5% 7.8%
Sales Tax $1.75 $16.00 $46.93 $7.02
Total Price $26.75 $216.00 $540.93 $97.02
Write the decimal as a percent. 231) 9.3 A) 93%
B) 0.0093%
C) 930%
D) 0.66;
230)
D) 0.93%
Write the fraction or mixed number as a percent. 1 232) 8 1 A) 24 % 2
2 3
231)
232) 1 C) 12 % 2
B) 24%
30
D) 12%
Solve. 233) 0.3% of what number is 3.9? A) 650 B) 780
C) 1,300
D) 2,600
Translate to an equation and solve. 234) 75% of 48 is what number? A) 36 B) 4
C) 6.4
D) 360
233)
234)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 235) Last year the profit for a company was $581,000. This year's profit decreased by 6.5%. Find this 235) year's profit. A) $203,350.00 B) $543,235.00 C) $37,765.00 D) $377,650.00
For the food described, find the percent of total calories from fat. If necessary, round to the nearest tenth of a percent. 236) Nutrition Facts 236) Serving Size 12 crackers (30g) Servings Per Container About 10 Amount Per Serving Calories 135 Calories from Fat 40 % Daily Value Total Fat 4g 6% Saturated Fat 0.5g 3% Polyunsaturated Fat 0g Monounsaturated Fat 1.5g Cholesterol 0mg 0% Sodium 220mg 9% Total Carbohydrate 21g 7% Dietary Fiber 2g 7% Sugars 4g Protein 2g Vitamin A 0% Vitamin C 0% Calcium 5% Iron 2% Phosphorus 9 A) 337.5%
B) 32.6%
C) 29.6%
D) 3%
Translate to an equation and solve. 1 237) 102.3 is 15 % of what number? 2 A) 66
237)
B) 6.6
Translate the question into a proportion. Do not solve. 238) 15.3 is what percent of 40? 15.3 p a 15.3 = = A) B) 40 100 40 100
31
C) 660
D) 6,600
40 15.3 = C) b 100
40 p = D) 15.3 100
238)
Solve. 239) A coat has a purchase price of $40. If the sales tax on this purchase is $2.80, find the sales tax rate. A) 0.07% B) 7% C) 0.065% D) 0.93% Translate the question into a proportion. Do not solve. 240) What number is 78% of 106? 106 78 78 106 = = A) B) b 100 b 100
78 p = C) 106 100
a 78 = D) 106 100
239)
240)
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
241)
means "per hundred."
A) Base
percent of decrease sale price total price
commission 0.01 100%
1 100
241)
B) Commission
C) Percent
D) Amount
Solve. 242) Punky went to dinner. Her bill was $21.50, and she left a 15% tip. How much was the tip, rounded to the nearest dollar? A) $3 B) $6 C) $25 D) $43
242)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 243) The profit of Mythological Company last year was $413,000. This year's profit decreased by 6.5%. 243) Find this year's profit. A) $26,845.00 B) $386,155.00 C) $144,550.00 D) $268,450.00
Determine what percent of the figure is shaded. 244)
A) 70%
244)
B) 85%
C) 87.5%
Translate to a proportion and solve. Round to the nearest hundredth, if necessary. 245) 115% of what number is 69? A) 13,225 B) 132.25 C) 600 246) 57 is 10% of what number? A) 570 B) 5.7
C) 57
32
D) 12.5%
D) 60
D) 5,700
245)
246)
Write the fraction or mixed number as a percent. 1 247) 3 1 A) 33 % 3
B)
247)
1 % 300
C)
1 % 3
1 D) 3 % 3
Solve. 248) Sam and Sally went out to dinner. The dinner bill was $84.55 plus a 15% tip. If they split the total cost, how much did Sam pay, rounded to the nearest cent? A) $48.62 B) $42.28 C) $97.23 D) $6.34
248)
Find the amount of increase and the percent increase to complete the table. Round percents to the nearest tenth, if necessary. 249) 249) Original Amount New Amount Amount of Increase Percent Increase 85 60 50 15 195 90 338 182
A)
Original Amount 85 50 195 338
New Amount 60 15 90 182
Amount of Increase 25 35 105 156
Percent Increase 29.4% 70% 53.8% 46.2%
B)
Original Amount 85 50 195 338
New Amount 60 15 90 182
Amount of Increase 25 35 105 156
Percent Increase 32.4% 77% 59.2% 50.8%
C)
Original Amount 85 50 195 338
New Amount 60 15 90 182
Amount of Increase 25 35 105 156
Percent Increase 2.9% 7% 5.4% 50.8%
D)
Original Amount 85 50 195 338
New Amount 60 15 90 182
Amount of Increase 100 70 210 312
Percent Increase 117.6% 140% 107.7% 92.3%
Solve. 250) Latasha and Sharon ordered out for pizza. The bill was for $19.32. How much did they give the delivery person to pay for the pizza along with a 5% tip, rounded to the nearest dollar? A) $18 B) $19 C) $1 D) $20
33
250)
Fill in the blank with one of the words or phrases listed below. Some words may be used more than once. percent of base is sales tax amount
compound interest amount of discount percent of increase
percent of decrease sale price total price
251) In a mathematical statement, A) of
commission 0.01 100%
1 100
251)
means "equals."
B) is
C) base
Solve. 252) What is the sales tax on a suit priced at $260 if the sales tax rate is 8.6%? A) $223.60 B) $0.86 C) $22.36
D) amount
D) $282.36
252)
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 253) A facilities manager determines that 4% of the offices, or 15 offices, in the building are not 253) occupied. Find the total number of offices in this building. A) 3,750 offices B) 37.5 offices C) 375 offices D) 60 offices
Translate to an equation and solve. 254) 7% of 19,344 is what number? A) 1,354.08 B) 1,354.18
C) 135.408
D) 13,540.8
Solve. Round to the nearest tenth, if necessary. 255) 8,958 is 122% of what number? A) 73.4 B) 734,262.295
C) 734.3
D) 7,342.6
34
254)
255)
Answer Key Testname: CHAPTER 7 1) B 2) A 3) D 4) A 5) C 6) C 7) A 8) B 9) D 10) C 11) B 12) C 13) B 14) C 15) D 16) D 17) A 18) D 19) C 20) A 21) C 22) A 23) D 24) A 25) B 26) C 27) A 28) C 29) B 30) A 31) B 32) D 33) A 34) C 35) B 36) A 37) C 38) A 39) A 40) A 41) D 42) A 43) A 44) D 45) A 46) B 47) B 48) A 49) B 50) D 35
Answer Key Testname: CHAPTER 7 51) C 52) D 53) B 54) B 55) A 56) B 57) B 58) B 59) C 60) B 61) A 62) A 63) C 64) B 65) B 66) B 67) C 68) B 69) D 70) C 71) C 72) D 73) C 74) B 75) B 76) C 77) A 78) D 79) D 80) A 81) B 82) B 83) D 84) B 85) A 86) B 87) C 88) A 89) D 90) D 91) D 92) A 93) D 94) D 95) C 96) C 97) C 98) B 99) B 100) A 36
Answer Key Testname: CHAPTER 7 101) D 102) B 103) B 104) A 105) C 106) A 107) A 108) D 109) B 110) B 111) C 112) A 113) D 114) B 115) D 116) B 117) A 118) B 119) A 120) A 121) D 122) A 123) D 124) B 125) B 126) B 127) B 128) C 129) D 130) D 131) D 132) D 133) C 134) A 135) D 136) A 137) A 138) D 139) D 140) C 141) D 142) A 143) C 144) C 145) B 146) D 147) B 148) A 149) A 150) D 37
Answer Key Testname: CHAPTER 7 151) C 152) B 153) D 154) C 155) C 156) A 157) D 158) C 159) D 160) D 161) A 162) D 163) D 164) D 165) D 166) B 167) A 168) D 169) D 170) C 171) A 172) D 173) A 174) C 175) D 176) C 177) C 178) C 179) C 180) B 181) B 182) C 183) B 184) A 185) D 186) A 187) B 188) B 189) A 190) D 191) B 192) C 193) B 194) D 195) D 196) A 197) C 198) C 199) A 200) C 38
Answer Key Testname: CHAPTER 7 201) D 202) B 203) A 204) B 205) C 206) C 207) C 208) C 209) C 210) A 211) A 212) A 213) B 214) C 215) A 216) C 217) D 218) B 219) D 220) D 221) B 222) B 223) A 224) B 225) B 226) A 227) B 228) D 229) D 230) D 231) C 232) C 233) C 234) A 235) B 236) C 237) C 238) A 239) B 240) D 241) C 242) A 243) B 244) C 245) D 246) A 247) A 248) A 249) A 250) D 39
Answer Key Testname: CHAPTER 7 251) B 252) C 253) C 254) A 255) D
40
Chapter 8 Exam Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use the information given to draw a bar graph. Clearly label the bars. 1) The following table shows the number of male infants born in a certain city on New Year's Day1)in various years. Make a horizontal bar graph to illustrate the data. No. of Male Infants Year Born New Year's Day 1960 6 1961 14 1962 10 1963 16 1964 10 1965 10 The double-line graph shows temperature highs and lows for a week.
2) On what day of the week was the difference between the high temperature and the low temperature the least? What was this difference in temperature?
1
2)
Twenty teenagers were asked to give their current savings account balances. Use the balances shown in the list to complete the frequency distribution table and construct a histogram. 3) 3) 150 1080 960 3022 3499 2001 880 2650 2118 1250 1499 560 2499 2399 2500 2789 1620 1382 1810 2299 Class Intervals Tally Class Frequency (Account Balances) (Number of Teenagers) $0-$499 $500-$999 $1000-$1499 $1500-$1999 $2000-$2499 $2500-$2999 $3000-$3499
2
Fill in the table. Round to the nearest degree. Then draw a circle graph to represent the information given in the table. 4) 4) Favorite Sports Among a Group of Students Sports Percent Degrees in Sector Baseball 15% Football 10% Basketball 57% Soccer 12% Others 6%
Use the information given to draw a bar graph. Clearly label the bars. 5) The following table shows the average amount spent per week on groceries by four different 5) families. Make a vertical bar graph to illustrate the data. Amount Spent Family on Groceries Smith $123.25 Harding $176.00 Tooley $151.75 Borne $168.00
3
The list shows the scores for a basketball team. Use the list to complete the frequency distribution table and construct a histogram. 6) 6) 40 31 35 28 19 17 26 33 31 30 28 29 29 26 27 Class Intervals Tally Class Frequency (Scores) (Number of Games) 10-19 20-29 30-39 40-49
4
Twenty teenagers were asked to give their current savings account balances. Use the balances shown in the list to complete the frequency distribution table and construct a histogram. 7) 7) $150 $1080 $960 $3022 $3499 $2001 $880 $2650 $2118 $1250 $1499 $560 $2499 $2399 $2500 $2789 $1620 $1382 $1810 $2299 Class Intervals Tally Class Frequency (Account Balances) (Number of Teenagers) $0-$499 $500-$999 $1000-$1499 $1500-$1999 $2000-$2499 $2500-$2999 $3000-$3499
Use the information given to draw a bar graph. Clearly label the bars. 8) The following table shows the number of inches of rainfall measured at City X during various 8) days. Make a vertical bar graph to illustrate the data. Inches of Day Rainfall April 7 1.26 April 22 1.94 May 7 3.26 May 22 2.54 June 7 2.02 June 22 1.86
5
Twenty teenagers were asked to give their current savings account balances. Use the balances shown in the list to complete the frequency distribution table. 9) 9) 123 1296 899 3189 3145 2425 620 2700 2459 1080 1250 661 2119 2499 2650 2500 1500 1499 1620 2399 Class Intervals Tally Class Frequency (Account Balances) (Number of Teenagers) $0-$499 $500-$999 $1000-$1499 $1500-$1999 $2000-$2499 $2500-$2999 $3000-$3499
Use the information given to draw a bar graph. Clearly label each bar. 10) The following table shows the number of female infants born in a certain city on New Year's Day 10) in various years. Number of Female Infants Year Born New Year's Day 1980 28 1981 16 1982 24 1983 40 1984 36 1985 32
6
Use the information given to draw a bar graph. Clearly label the bars. 11) The following table shows the number of female infants born in a certain city on New Year's Day 11) in various years. Make a vertical bar graph to illustrate the data. No. of Female Infants Year Born New Year's Day 1980 14 1981 8 1982 12 1983 20 1984 18 1985 16
12) The following table shows the number of visitors at a jazz festival in various years. Make a vertical bar graph to illustrate the data.
12)
Year Visitors (in thousands) 1981 12 1991 17 2001 20 2003 23
Fill in the table. Round to the nearest degree. Then draw a circle graph to represent the information given in the table. 13) 13) Shares of Stock Owned by an Investor Type of Stock Percent of Shares Degrees in sector Company A 40% Company B 24% Company C 36%
7
Use the information given to draw a bar graph. Clearly label the bars. 14) Make a vertical bar graph to illustrate the data in the table below.
14)
Entree Choices of Customers During One Week Entree Number of Customers Grilled Salmon 35 Chicken Salad 40 Beef Stew 30 Ham Pie 45 Bacon Burger 38 Cheese Pizza 22
The double-line graph shows temperature highs and lows for a week.
15) What was the high temperature reading on Wednesday?
15)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Plot the three ordered-pair solutions of the equation. 16) y = 3x + 6; (0, 6), (-2, 0), (3, 15)
16)
8
A)
B)
C)
D)
Use the circle graph to solve the problem. 17) A survey of the 3,143 vehicles on the campus of State University yielded the following circle graph.
11%
14%
33%
9% 8% 25% Together, what percent of the vehicles are either vans or convertibles? A) 23% B) 14% C) 5%
9
D) 126%
17)
Solve the problem. 18) Use the frequency distribution table to find the following: a. mean (Round to the nearest tenth, if necessary.) b. median c. mode d. range Data Item Frequency 90 2 91 3 92 1 93 7 94 7 A) a. 92 B) a. 92.7 C) a. 92 b. 93 b. 93 b. 93 c. 93 and 94 c. 93 c. 94 d. 4 d. 4 d. 4
18)
D) a. 92.7 b. 93 c. 93 and 94 d. 4
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
quadrants plotting bar
19) A(n) A) histogram
line origin x
y experiment circle
class frequency linear tree diagram
probability class interval
is a graph in which pictures or symbols are used to visually present data.
B) tree diagram
C) pictograph
10
D) circle
19)
Graph the linear equation. 20) x + y = 7
20)
A)
B)
C)
D)
11
21) y = 2x - 2
21)
A)
B)
C)
D)
12
The bar graph shows the number of students who flunk Dr. Jones' class each year.
22) During which year(s) did Dr. Jones' have more than 8 students flunk his class? A) 1996, 1998, 1999, 2000, 2002 B) 1996, 1998, 1999, 2000 C) 1996, 1998, 1999 D) 1998, 1999, 2000, 2002 Complete each ordered-pair solution of the given equation. 23) x = y + 20 ; ( , 13), ( , -4), (20 , ) A) (-7, 13), (24,-4), (20, 0) C) (33, 13), (16, -4), (20, 0)
B) (33, 13), (-24, -4), (20, 0) D) (-7, 13), (16, -4), (20, 0)
Use the circle graph to solve the problem. 24) A survey of the 7,746 vehicles on the campus of State University yielded the following circle graph.
11%
14%
34%
8% 5% 28% Find the number of hatchbacks. Round your result to the nearest whole number. A) 34 B) 5,112 C) 2,634 D) 2,246
Graph the linear equation.
13
22)
23)
24)
25) y =
1 x 4
25)
A)
B)
C)
D)
14
Use the circle graph to solve the problem. 26) There are 17,000 students attending the local university. The students are asked which sport they most 26) enjoy watching. The circle graph shows the percentage favoring each sport.
5% 13%
39% 19%
24% How many students' favorite sport is either Basketball or Baseball? A) 2,210 students B) 6,630 students C) 8,840 students D) 884,000 students
27) The circle graph summarizes the results of a survey in which 1,100 adults were asked their favorite movie category.
How many of the survey respondents said that they favor others? Round to the nearest whole number. A) 336 respondents B) 102 respondents C) 930 respondents D) 369 respondents
15
27)
Graph the equation. 28) 2x - y = -4
28)
A)
B)
C)
D)
16
The following circle graph displays Chris and Mary Smith's monthly $2900 family budget. Use the circle graph to answer the question.
29) What is the ratio of money spent on utilities to the total amount of the monthly budget? 58 11 5 58 A) B) C) D) 11 58 58 5 Find the probability of the event if a single choice is made from a bag. 30) A bag contains 5 red marbles, 8 blue marbles, 7 yellow marbles, and 4 green marbles. What is the probability of choosing a red marble when one marble is drawn? 1 1 5 5 A) B) C) D) 24 4 19 24
29)
30)
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
quadrants plotting bar
line origin x
y experiment circle
31) In the ordered pair (a, b) the A) y; x
class frequency linear tree diagram
-value is a and the
B) origin; y
C) x; origin
17
probability class interval
-value is b.
D) x; y
31)
Solve the problem. 32) Draw a tree diagram for the experiment of tossing a coin once then spinning the spinner once.
A)
B)
C)
D)
Find the probability of the event if a single choice is made from a bag. 33) A bag contains 6 red marbles, 5 blue marbles, 2 yellow marbles, and 4 green marbles. What is the probability of choosing a yellow or green marble when one marble is drawn? 1 6 4 2 A) B) C) D) 2 17 17 17
18
32)
33)
The pictograph shows the number of bicyclists who participated in the Labor Day weekend bicycle race for the years indicated.
34) What was the amount of decrease in the number of cyclists from 2001 to 2002? A) 25 B) 35 C) 15 Graph the equation. 35) x - 3y = 3
D) 20
34)
35)
A)
B)
19
C)
D)
20
Plot the point corresponding to the ordered pair on the given set of axes. 36) (-5, 4)
A)
B)
C)
D)
21
36)
Find the x- and y-coordinates of each labeled point. 37)
37)
1 A) C -2 , 0 ; D(3, -5) 2
C) C 0, -2
B) C 0, -2
1 ; D(3, -5) 2
1 ; D(-5, 3) 2
1 D) C -2 , 0 ; D(-5, 3) 2
Use the circle graph to solve the problem. 38) The circle graph below gives the number of students in the residence halls at the state university.
240 216
424
192
344
224
Write the ratio as a fraction in lowest terms of the number of residents at Fisher to the number of students at Carver. 43 344 30 43 A) B) C) D) 205 205 43 30
22
38)
Graph the linear equation. 39) 5x - 2y = 10
39)
A)
B)
C)
D)
23
The circle graph shows the results of the student council presidential election and the percent of the vote each person received. 40) 40) Student Council President
Andy 22%
Gina 32%
Ted 27%
Matt 19%
400 total votes What percent of the votes did Andy NOT get? A) 22% B) 73%
Find the range for the given data items. 41) 14, 15, 16, 17, 18 A) 14 B) 18
C) 68%
D) 78%
C) 16
D) 4
41)
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
quadrants plotting bar
line origin x
y experiment circle
class frequency linear tree diagram
42) The possible results of an experiment are the A) probability
probability class interval
42)
.
B) outcomes
C) quadrants
Find the coordinates of the points in the graph. 43)
D) histogram
43)
A) C(-7, -6); D(1, -6) C) C(1, 2); D(-6, 6)
B) C(-7, 1); D(-6, 6) D) C(-7, 1); D(6, -6)
24
The pictograph shows the number of bicycles sold at Mountain Biking Mania for a 7-week period.
44) What was the total number of bicycles sold in this 7-week period? A) 535 bicycles B) 530 bicycles C) 545 bicycles
D) 520 bicycles
44)
A deck of cards contains 52 cards. These cards consist of four suits - hearts, spades, clubs, and diamonds. Each suit contains one of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Assume that one card is selected at random from a well-shuffled deck of cards. 45) Find the probability that the card is not a picture card (i.e. not a jack, queen, or king). 45) 49 1 3 10 A) B) C) D) 52 4 13 13
Use the circle graph to solve the problem. 46) The circle graph below gives the inventory of the women's department of a store.
Coats $61,533
Lingerie $9,288
Dresses $49,923
Slacks $22,059
Skirts $11,610 Socks Blouses $4,644 $10,449
What is the total inventory? A) $169,506 B) $164,862
C) $174,150
Plot the three ordered-pair solutions of the equation.
25
D) $119,583
46)
47) 2x + y = 3; (5, -7), (4, -5), (2, -1)
47)
A)
B)
C)
D)
26
The pictograph shows the number of bicycles sold at Mountain Biking Mania for a 7-week period.
48) During which week was the least number of bicycles sold? How many bicycles were sold that week? A) week 3; 100 bicycles B) week 7; 120 bicycles C) week 4; 50 bicycles D) week 5; 20 bicycles Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes. 49) Roll a single die, and then toss a coin. A) 12 outcomes B) 2 outcomes C) 8 outcomes D) 6 outcomes
48)
49)
The bar graph shows the number of tickets sold each week by the garden club for their annual flower show.
50) How many more tickets were sold during week 3 than week 6? A) 11 tickets B) 16 tickets C) 21 tickets 27
D) 49 tickets
50)
Find the probability of the event. 51) If a single die is tossed once, find the probability of the following event. A 6 or a 4 1 1 1 A) B) C) 3 6 2 Graph the equation. 52) x = -3y
51) D) 10
52)
A)
B)
C)
D)
28
Find the coordinates of the points in the graph. 53)
53)
A) A(4, 6); B(6, -4) C) A(4, 6); B(-4, 6)
B) A(6, 24); B(6, -4) D) A(4, 6); B (6, 6)
The bar graph shows the number of tickets sold each week by the garden club for their annual flower show.
54) How many tickets were sold during week 3? A) 19 tickets B) 30 tickets
C) 40 tickets
29
D) 59 tickets
54)
The histogram shows the scores of each participant in a game from a total of 100 participants.
55) How many participants scored more than 79? A) 19 participants B) 82 participants
C) 94 participants
D) 57 participants
55)
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
56) During which two hour period did the temperature increase the most? A) 10 a.m. to 11 a.m. B) 9 a.m. to 11 a.m. C) 10 a.m. to 12 p.m. D) 12 p.m. to 2 p.m.
30
56)
A new car dealership has taken an inventory of the vehicles it has in stock. Below is a histogram indicating the number of vehicles in stock in certain price ranges. Use the histogram to answer the question.
57) How many vehicles in stock are priced between $14,000 and $20,999? A) 15 vehicles B) 10 vehicles C) 5 vehicles
D) 3 vehicles
57)
Use the frequency distribution table to find the mean, median, and mode. If needed, round the mean to one decimal place. 58) 58) Data Item Frequency 3 4 4 5 5 7 6 2 7 2
A) mean: 7.7, median: 7, mode: 7 C) mean: 5, median: 4.5, mode: 2
B) mean: 5, median: 5, mode: 5 D) mean: 4.7, median: 5, mode: 5
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
59) In a(n)
quadrants plotting bar
line origin x
y experiment circle
class frequency linear tree diagram
probability class interval
graph, each section (shaped like a piece of pie) shows a category and the
relative size of the category. A) histogram B) line
C) circle
31
D) bar
59)
Plot the point corresponding to the ordered pair on the given set of axes. 60) (0, 3)
A)
B)
C)
D)
60)
Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes. 61) Spin the first spinner once and the second spinner once.
A) 7
B) 12
C) 9
32
D) 16
61)
Find the probability of the event. 62) If a single die is tossed once, find the probability of the following event. A7 7 A) 7 B) 1 C) 6 Graph the equation. 63) y = 2x + 6
62) D) 0
63)
A)
B)
C)
D)
33
64) y = 0
64)
A)
B)
C)
D)
34
The pictograph shows the number of bicyclists who participated in the Labor Day weekend bicycle race for the years indicated.
65) In what year(s) was there an increase in the number of cyclists who participated in the race? A) 2002, 2003, 2007 B) 2003, 2006, 2007 C) 2001, 2003, 2007 D) 2002, 2004, 2005
65)
A dart is thrown randomly and sticks on the circular dart board shown. Assume that all sectors are the same size and that the dart does not land on a border between shaded areas.
66) Find the probability that the dart lands on sector number 3 or sector number 6. 1 1 1 1 A) B) C) D) 2 4 5 8
35
66)
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
67) At what time was the temperature its lowest? A) 4 p.m. B) 1 p.m.
C) 9 a.m.
D) 6 p.m.
67)
A dart is thrown randomly and sticks on the circular dart board shown. Assume that all sectors are the same size and that the dart does not land on a border between shaded areas.
68) Find the probability that the dart lands on the sector numbered 3. 1 5 1 A) B) C) 10 8 8
36
1 D) 4
68)
The circle graph shows the results of the student council presidential election and the percent of the vote each person received. 69) 69) Student Council President
Ted 36%
Ben 22%
Jim 24%
Matt 18%
700 total votes Who received the second largest number of votes? A) Ben B) Jim
C) Ted
37
D) Matt
Graph the equation. 70) y + 2x = 4
70)
A)
B)
C)
D)
Plot the point corresponding to the ordered pair on the given set of axes.
38
1 71) - 2 , 0 2
71)
A)
B)
C)
D)
Solve the problem. 72) The numbers 1 through 17 are each written on the same size sheet of paper and placed in a bag. You then select one sheet of paper at random from the bag. What is the probability of choosing a 7 from the bag? 17 7 1 1 A) B) C) D) 7 17 7 17
39
72)
The circle graph shows the results of the student council presidential election and the percent of the vote each person received. 73) 73) Student Council President
Ming 35%
Ben 20% Jim 15%
Ann 30%
700 total votes Find the ratio of Jim's votes to Ben's votes. 3 4 A) B) 7 3
C)
3 20
D)
3 4
Determine whether the ordered pair is a solution of the given linear equation. 74) (2, 1); 3x + 4y = 2 A) No B) Yes
74)
Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes. 75) Spin the spinner once and roll a die.
A) 12
B) 18
C) 36
75)
D) 9
Determine whether the ordered pair is a solution of the given linear equation. 76) (0, 1); x + 9y = -9 A) No B) Yes
76)
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
77) A(n) A) linear
quadrants plotting bar
line origin x
y experiment circle
class frequency linear tree diagram
probability class interval
equation in two variables can be written in the form ax + by = c.
B) bar
C) circle
40
D) plotting
77)
Find the x- and y-coordinates of each labeled point. 78)
78)
A) A(7, 6); B (7, 6) C) A(7, 7); B(6, -5)
B) A(7, 7); B(-5, 6) D) A(7, 30); B(6, -5)
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
79) At what time was the temperature the highest? A) 2 p.m. B) 11 a.m.
C) 1 p.m.
41
D) 5 p.m.
79)
The bar graph shows the expenditures of one city government in a recent year.
80) Name the agency with the smallest spending and estimate this value. A) Health; $5.4 million B) All Other Agencies; $8.2 million C) Human Resources; $24.2 million D) Environment; $3.2 million
80)
A dart is thrown randomly and sticks on the circular dart board shown. Assume that all sectors are the same size and that the dart does not land on a border between shaded areas.
81) Find the probability that the dart lands on an area marked with a number greater than 3 and less than or equal to 7. 2 5 1 3 A) B) C) D) 5 8 2 8
42
81)
Use the circle graph to solve the problem. 82) A survey of the 3,218 vehicles on the campus of State University yielded the following circle graph.
82)
8%
17%
34%
9% 7% 25% What percent of the vehicles are hatchbacks? A) 109% B) 9%
C) 25%
D) 34%
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
quadrants plotting bar
83) The A) class interval
line origin x
of an event is
y experiment circle
class frequency linear tree diagram
probability class interval
number of ways that the event can occur . number of possible outcomes
B) outcomes
C) probability
43
83) D) experiment
Solve the problem. 84) Draw a tree diagram for the experiment of spinning the spinner once then tossing a coin.
A)
B)
C)
D)
84)
The pictograph shows the number of bicyclists who participated in the Labor Day weekend bicycle race for the years indicated.
85) How many cyclists participated in 2,001? A) 50 cyclists B) 90 cyclists
C) 65 cyclists
44
D) 100 cyclists
85)
Find the probability of the event. 86) Two dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10? 5 1 1 A) B) 3 C) D) 18 18 12
86)
Use the graph of data items to find the mean, median, and mode. If needed, round the mean to one decimal place. 87) 87)
A) mean: 34.3, median: 40, mode: no mode C) mean: 35, median: 30.5, mode: 20, 30
B) mean: 34.3, median: 30, mode: 50 D) mean: 35, median: 30.5, mode: 50
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
88) What temperature was recorded at 6 p.m.? A) 76 ° F B) 73 ° F
C) 75 ° F
45
D) 77 ° F
88)
Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes. 89) Spin the first spinner once and the second spinner twice.
A) 48
B) 36
C) 10
89)
D) 11
The bar graph shows the number of tickets sold each week by the garden club for their annual flower show.
90) During which week were 59 tickets sold? A) week 5 B) week 1
C) week 6
46
D) week 4
90)
The circle graph summarizes the results of a survey of the favorite movie category chosen by a group of adults.
91) 1,100 adults answer the survey. Find the ratio of number of respondents who favor drama movies to those who favor action movies. Write the ratio as a fraction with integers in the numerator and denominator. 602 335 267 3685 A) B) C) D) 267 267 335 267 Find the probability of the event. 92) If a single die is tossed once, find the probability of the following event. A 6 or a 5 or a 1 1 1 1 A) B) C) 2 6 3
92) D) 12
Find the coordinates of the points in the graph. 93)
A) G(0, 5); H(2, -6)
91)
93)
B) G(5, 0); H(2, -6)
C) G(5, 0); H(-6, 2)
47
D) G(0, 5); H(-6, 2)
A dart is thrown randomly and sticks on the circular dart board shown. Assume that all sectors are the same size and that the dart does not land on a border between shaded areas.
94) Find the probability that the dart does not land on the sector numbered 4. 3 1 7 A) B) C) 4 8 8
9 D) 10
94)
The pictograph shows the number of bicyclists who participated in the Labor Day weekend bicycle race for the years indicated.
95) What was the least number of cyclists to participate in any one year? A) 50 cyclists B) 20 cyclists C) 100 cyclists
48
D) 120 cyclists
95)
Find the range for the data set. 96)
A) 5.51
96)
B) 0.23
C) 5.28
D) 0.21
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
quadrants plotting bar
97) A(n)
line origin x
y experiment circle
class frequency linear tree diagram
probability class interval
is a special bar graph in which the width of each bar represents a(n) and the height of each bar represents the
A) pictograph; class interval; class frequency C) pictograph; class frequency; class interval
97)
.
B) histogram; class frequency; class interval D) histogram; class interval; class frequency
Determine whether the ordered pair is a solution of the given linear equation. 98) (-1, 3); y = -4x - 1 A) No B) Yes
98)
Find the range for the data set. 99) 9, 18, 9, 18, 9, 18, 9, 18 A) 9
B) 18
C) 27
D) 13.5
99)
100) 319, 319, 319, 319, 348 A) 667
B) 32
C) 319
D) 29
49
100)
Find the x- and y-coordinates of each labeled point. 101)
101)
A) R(4, 2); S(-2, -7) C) R(-7, -2); S(4, -2)
B) R(-7, 4); S(-2, -7) D) R(-7, 4); S(-7, -2)
Complete each ordered-pair solution of the given equation. 102) x - y = 20 ; ( , 16), ( , -2), (20 , ) A) (-4, 16), (18, -2), (20, 0) C) (36, 16), (18, -2), (20, 0)
102)
B) (36, 16), (-22, -2), (20, 0) D) (-4, 16), (22,-2), (20, 0)
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
quadrants plotting bar
line origin x
y experiment circle
class frequency linear tree diagram
probability class interval
103) The process of locating a point on the rectangular coordinate system is called point. A) circle
B) origin
C) line
50
the
D) plotting
103)
Graph the equation. 104) y = -2
104)
A)
B)
C)
D)
A deck of cards contains 52 cards. These cards consist of four suits - hearts, spades, clubs, and diamonds. Each suit contains one of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Assume that one card is selected at random from a well-shuffled deck of cards. 105) Find the probability that the card is the 9 of spades 105) 1 1 4 1 A) B) C) D) 13 52 13 26
51
Graph the equation. 106) y = 5x + 4
106)
A)
B)
C)
D)
Solve the problem. 107) Use the frequency distribution table to find the range. Data Item Frequency 90 2 91 3 92 1 93 7 94 7 A) 5 B) 4 C) 3
52
107)
D) 7
Graph the equation. 108) x + y = -4
108)
A)
B)
C)
D)
53
Solve the problem. 109) Use the graph of data items to find the following: a. mean (Round to the nearest tenth, if necessary.) b. median c. mode d. range
A) a. 30.9 b. 30 c. 30 d. 40
109)
B) a. 30 b. 30 c. 40 d. 20
C) a. 30.9 b. 30 c. 40 d. 20
D) a. 30.9 b. 30 c. 30 d. 20
A deck of cards contains 52 cards. These cards consist of four suits - hearts, spades, clubs, and diamonds. Each suit contains one of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Assume that one card is selected at random from a well-shuffled deck of cards. 110) Find the probability that the card is a hearts picture card (the jack, queen, or king of hearts). 110) 1 1 3 3 A) B) C) D) 3 4 52 13
Plot the point corresponding to the ordered pair on the given set of axes. 111) (1, 2)
54
111)
A)
B)
C)
D)
Complete each ordered-pair solution of the given equation. 112) y = -4x - 31; (-9, ), (-31, ), (0, ) A) (-9, 5) (-31, 93) (0, -31) C) (-9, 5) (-31, 93) (0, 93)
B) (-9, -9) (-31, 93) (0, -31) D) (-9, 5) (-31, -31) (0, -31)
55
112)
Use the circle graph to solve the problem. 113) There are 10,000 students attending the local university. The students are asked which sport they most 113) enjoy watching. The circle graph shows the percentage favoring each sport.
6% 12%
40% 17%
25% What percentage of students did not name Soccer or Volleyball as their favorite sport? A) 58% B) 17% C) 42% D) 25%
The histogram shows the scores of each participant in a game from a total of 100 participants.
114) What is the ratio of participants who score 0-19 to the total number of participants? 50 19 4 3 A) B) C) D) 19 50 25 100 Graph the equation.
56
114)
115) x = 0
115)
A)
B)
C)
D)
Find the probability of the event if a single choice is made from a bag. 116) A bag contains 7 red marbles, 2 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue when one marble is drawn from the bag? 4 5 1 A) B) 8 C) D) 5 4 5 Find the probability of the event. 117) If a single die is tossed once, find the probability of the following event. An odd number. 1 1 A) B) 3 C) 3 6 57
116)
117) D)
1 2
The histogram shows the scores of each participant in a game from a total of 100 participants.
118) How many more participants scored 80-99 than 20-39? A) 13 participants B) 32 participants C) 16 participants
D) 4 participants
Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes. 119) Spin the spinner once and toss a coin.
A) 16
B) 8
C) 6
58
D) 4
118)
119)
The following circle graph displays Chris and Mary Smith's monthly $2900 family budget. Use the circle graph to answer the question.
120) What is the ratio of money spent on transportation to money spent on charity? 11 11 6 A) B) C) 4 6 11
D)
4 11
120)
The circle graph shows the results of the student council presidential election and the percent of the vote each person received. 121) 121) Student Council President
Jim 34%
Matt 20%
Ben 32%
Ming 14%
200 total votes How many votes did Jim get? A) 40 B) 28
C) 68
Plot the point corresponding to the ordered pair on the given set of axes.
59
D) 64
1 1 122) 5 , - 6 2 2
122)
A)
B)
C)
D)
Determine whether the ordered pair is a solution of the given linear equation. 123) (4, -8); y = -2x A) Yes B) No
60
123)
The circle graph summarizes the results of a survey of the favorite movie category chosen by a group of adults.
124) 1,600 adults answer the survey. How many of the survey respondents said that they favor others? Round to the nearest whole. A) 488 respondents B) 427 respondents C) 536 respondents D) 3,050 respondents
124)
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
125) During which hours was the temperature increasing? A) 9 a.m. to 11 a.m. and 12 p.m. to 1 p.m. B) 1 p.m. to 4 p.m. and 5 p.m. to 6 p.m. C) 1 p.m. to 6 p.m. D) 9 a.m. to 1 p.m. Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes. 126) Toss two coins. A) 4 outcomes B) 3 outcomes C) 1 outcome D) 2 outcomes
61
125)
126)
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
quadrants plotting bar
line origin x
y experiment circle
class frequency linear tree diagram
127) The axes divide the plane into four regions called A) plotting
probability class interval
127)
.
B) origin
C) outcomes
Plot the point corresponding to the ordered pair on the given set of axes. 128) (4, -6)
A)
B)
C)
D)
62
D) quadrants
128)
The histogram shows the scores of each participant in a game from a total of 100 participants.
129) How many participants scored 100? A) 3 participants B) 6 participants
C) 25 participants
Complete each ordered-pair solution of the given equation. 130) x + 3y = 3; ( ,-2), ( , 0), ( ,1) A) (-2, -2) (0, 3) (1, 0) C) (-9, -2) (0, 0) (3, 1)
B) (-9, -2) (3, 0) (0, 1) D) (9, -2) (3, 0) (0, 1)
63
D) 12 participants
129)
130)
Graph the equation. 131) 3x - 3y = 18
131)
A)
B)
C)
D)
64
The bar graph shows the number of tickets sold each week by the garden club for their annual flower show.
132) During which week did the garden club sell the most tickets? A) week 2 B) week 5 C) week 1
D) week 4
132)
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
133) What temperature was recorded at 1 p.m.? A) 79°F B) 80°F
C) 77°F
65
D) 81°F
133)
The circle graph shows the results of the student council presidential election and the percent of the vote each person received. 134) 134) Student Council President
Lili 22%
Ann 36%
Ben 24%
Jim 18%
400 total votes What percent of the votes did Jim and Lili receive together? A) 18% B) 60% C) 22%
D) 40%
Determine whether the ordered pair is a solution of the given linear equation. 135) (10, -3); y - x = 7 A) No B) Yes 136) (13, -13); y = -x A) No
135)
136)
B) Yes
Find the probability of the event. 137) If a single die is rolled, find the probability of the following event. A number less than 2? 1 1 5 A) B) C) 9 6 6
137) D)
1 3
Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes. 138) Toss three coins. A) 1 outcome B) 3 outcomes C) 6 outcomes D) 8 outcomes
66
138)
The double-line graph shows temperature highs and lows for a week.
139) What day was the temperature the lowest? What was this low temperature? A) Thursday; 70°F B) Friday; 72°F C) Saturday; 70°F Complete each ordered-pair solution of the given equation. 140) y = -x + 8; (5, ), (8, ), (0, ) A) (5, 15) (8, 0) (0, 8) C) (5, 3) (8, 0) (0, 8)
B) (5, 3) (8, 2) (0, 8) D) (5, 5) (8, 8) (0, 0)
Find the x- and y-coordinates of each labeled point. 141)
D) Friday; 69°F
139)
140)
141)
A) C(6, 8); D(-3, 7) C) C(-4, -3); D(6, -3)
B) C(-4, 6); D(-3, 7) D) C(-4, 6); D(7, -3)
Graph the equation.
67
142) x = 3
142)
A)
B)
C)
D)
68
The bar graph shows the expenditures of one city government in a recent year.
143) Name the agency whose spending is between $6 million and $7 million and estimate its value. A) Pensions; $6.5 million B) Pensions; $13.4 million C) Miscellaneous; $6.5 million D) Miscellaneous; $13.4 million Solve the problem. 144) The numbers 1 through 17 are each written on the same size sheet of paper and placed in a bag. You then select one sheet of paper at random from the bag. What is the probability of choosing a 5 or a 6 from the bag? 1 2 11 A) B) 2 C) D) 2 17 17
69
143)
144)
Plot the point corresponding to the ordered pair on the given set of axes. 145) (-1, -6)
A)
B)
C)
D)
Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes. 146) Roll two six-sided dice. A) 12 outcomes B) 36 outcomes C) 2 outcomes D) 1 outcome
70
145)
146)
The bar graph shows the number of tickets sold each week by the garden club for their annual flower show.
147) How many tickets were sold in all? A) 215 tickets B) 205 tickets
C) 195 tickets
Complete each ordered-pair solution of the given equation. 148) x = 7y; ( , 3), (0, ), (-28, ) A) (21, 3), (0, 0), (-28 , 4) C) (10, 3), (0, 0), (-28 , -4)
149)
B) (0, -6), (3, 0), (2, -2) D) (0, 6), (-6, 0), (2, -5)
B) 11
C) 15
71
147)
148)
B) (10, 3), (0, 7), (-28, 4) D) (21, 3), (0, 0), (-28 , -4)
149) y = 2x - 6; (0, ), ( , 0 ), (2, ) A) (0, -6), (-6, 0), (2, -2) C) (0, 6), (3, 0), (2, -2) Find the range for the data set. 150) 11, 12, 13, 14, 15 A) 4
D) 105 tickets
D) 13
150)
The circle graph shows the results of the student council presidential election and the percent of the vote each person received. 151) 151) Student Council President
Matt 30%
Lili 24%
Ben 28%
Ann 18%
700 total votes Who got the most votes? A) Ann
B) Lili
C) Ben
D) Matt
The pictograph shows the number of bicycles sold at Mountain Biking Mania for a 7-week period.
152) How many bicycles were sold in week 7? A) 100 bicycles B) 65 bicycles
C) 120 bicycles
72
D) 90 bicycles
152)
The bar graph shows the number of students who flunk Dr. Jones' class each year.
153) During which year(s) did exactly 4 students flunk Dr. Jones' class? A) 2003 B) 1993, 2001 C) 1993 Complete and graph the ordered-pair solutions of the given equation. 154) x = 8y; ( , 3), (0, ), (-32, )
73
D) 1993, 2003
153)
154)
A) (24, -3), (0, 0), (-32 , 4)
B) (11, 3), (0, 8), (-32, 4)
C) (24, 3), (0, 0), (-32 , -4)
D) (3, 24), (0, 0), (-4, -32 )
The circle graph shows the results of the student council presidential election and the percent of the vote each person received. 155) 155) Student Council President
Matt 35%
Ben 22%
Lili 26%
Ann 17%
200 total votes Who got the fewest votes? A) Lili
B) Ben
C) Matt
74
D) Ann
Complete and graph the ordered-pair solutions of the given equation. 156) y = 4x - 2; (0, ), (1, ), (-1, )
A) (0, -2), (1, -6), (-1, 2)
B) (0, -2), (1, 2), (-1, -6)
C) (0, 0), (1, -2), (-1, 2)
D) (0, 2), (1, 6), (-1, -2)
Determine whether the ordered pair is a solution of the given linear equation. 157) (-5, 0); -2y + 5x = -25 A) No B) Yes Complete each ordered-pair solution of the given equation. 158) x + y = 26 ; (15, ), ( , -3), (26 , ) A) (15, 11), (29,-3), (26, 0) C) (15, 41), (29,-3), (26, 0)
B) (15, 41), (23, -3), (26, 0) D) (15, 11), (23, -3), (26, 0)
75
156)
157)
158)
A deck of cards contains 52 cards. These cards consist of four suits - hearts, spades, clubs, and diamonds. Each suit contains one of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Assume that one card is selected at random from a well-shuffled deck of cards. 159) Find the probability that the card is a red ace. 159) 1 2 1 1 A) B) C) D) 13 13 52 26 The bar graph shows the number of students who flunk Dr. Jones' class each year.
160) During which year did Dr. Jones' have the greatest number of students flunk his class? How many students flunked during that year? A) 1997, 2 students B) 1998, 12 students C) 1998, 16 students D) 1999, 16 students
76
160)
Graph the equation. 161) y = x
161)
A)
B)
C)
D)
77
Use the circle graph to solve the problem. 162) The circle graph below gives the number of students in the residence halls at the state university.
162)
400 210
570
200
450
300
Which residence hall has the highest number of students? A) Adams B) Carver C) Dodge
D) Evans
163) The circle graph shows the percent of the total population of 89,400 of Springfield living in the given types of housing.
41%
163)
33%
3% 8%
15%
Find the number of people who live in apartments. Round your result to the nearest whole number. A) 29,502 people B) 33 people C) 25,032 people D) 59,898 people
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
quadrants plotting bar
164) A(n) A) pictograph
line origin x
y experiment circle
class frequency linear tree diagram
probability class interval
is an activity being considered, such as tossing a coin or rolling a die.
B) probability
C) histogram
78
D) experiment
164)
Solve. 165) A new drug is being tested that is supposed to lower cholesterol. This drug was given to 300 people and the results are below.
165)
Lower Higher Cholesterol Cholesterol Cholesterol not Changed 126 74 100 If a person is testing this drug, what is the probability that their cholesterol will be higher? 113 29 37 2 A) B) C) D) 150 50 150 3 The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
166) During which hours shown was the temperature greater than 76°F? A) 10 a.m. to 3 p.m. B) 10 a.m. to 5 p.m. C) 11 a.m. to 3 p.m. D) 11 a.m. to 5 p.m. Find the probability of the event. 167) If a single die is tossed once, find the probability of the following event. A5 5 A) B) 0 C) 5 6
79
166)
167) D)
1 6
The bar graph shows the number of tickets sold each week by the garden club for their annual flower show.
168) During which week did the garden club sell the fewest tickets? A) week 5 B) week 6 C) week 2 Graph the equation. 169) y = x - 1
D) week 4
168)
169)
A)
B)
80
C)
D)
Find the probability of the event. 170) Two dice are tossed. What is the probability the sum of the two numbers on the die will be 4? 11 1 2 A) B) C) 3 D) 12 12 3 Find the x- and y-coordinates of each labeled point. 171)
170)
171)
A) G(6, 5); H(-4, -2) C) G(6, -2); H(5, -2)
B) G(6, 5); H(-2, -4) D) G(5, 28); H(-2, -4)
Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes. 172) Pick a number from 1, 2, 3 or 4, and then toss a coin. A) 8 outcomes B) 2 outcomes C) 1 outcome D) 6 outcomes
172)
A deck of cards contains 52 cards. These cards consist of four suits - hearts, spades, clubs, and diamonds. Each suit contains one of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Assume that one card is selected at random from a well-shuffled deck of cards. 173) Find the probability that the card is a 2, 3, or 5. 173) 1 3 3 1 A) B) C) D) 4 13 52 3
81
The circle graph shows the results of the student council presidential election and the percent of the vote each person received. 174) 174) Student Council President
Ben 36%
Lili 22%
Matt 24%
Jim 18%
500 total votes Find the ratio of Ben's votes to total votes cast. 9 9 A) B) 16 25
C)
16 9
D)
25 9
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
175) During which hour did the temperature increase the most? A) 12 p.m. to 1 p.m. B) 9 a.m. to 10 a.m. C) 1 p.m. to 2 p.m. D) 10 a.m. to 11 a.m.
82
175)
The circle graph shows the results of the student council presidential election and the percent of the vote each person received. 176) 176) Student Council President
Gina 35%
Lili 22%
Ann 26%
Ted 17%
400 total votes What percent of the votes did Ted NOT get? A) 65% B) 83%
C) 74%
Graph the equation. 177) y = -2
D) 17%
177)
A)
B)
83
C)
D)
Graph the linear equation. 178) x = 2
178)
A)
B)
84
C)
D)
The bar graph shows the expenditures of one city government in a recent year.
179) How much more is spent on Health than on Environment? A) $3.3 million B) $1.5 million C) $5.7 million
85
D) $2.2 million
179)
The double-line graph shows temperature highs and lows for a week.
180) What day was the temperature the highest? What was this high temperature? A) Wednesday; 75°F B) Sunday; 80°F C) Wednesday; 89°F D) Wednesday; 90°F
180)
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
181) A(n) A) line
quadrants plotting bar
line origin x
y experiment circle
class frequency linear tree diagram
probability class interval
181)
graph presents data using vertical or horizontal bars.
B) circle
C) bar
Complete each ordered-pair solution of the given equation. 182) 6x + y = -15; (-3, ), (0, ), (1, ) A) (-3, -3) (0, -15) (1, -21) C) (-3, 3) (0, -21) (1, -21)
B) (-3, 3) (0, -15) (1, -21) D) (-3, 3) (0, 0) (1, -21)
86
D) tree diagram
182)
The pictograph shows the number of bicyclists who participated in the Labor Day weekend bicycle race for the years indicated.
183) In what year did 20 cyclists participate? A) 2,007 B) 2,001
C) 2,006
Graph the equation. 184) x = -4
D) 2,005
183)
184)
A)
B)
87
C)
D)
Complete each ordered-pair solution of the given equation. 185) y = 2x; (6, ), (0, ), ( , -8) A) (6, 12), (0, 0), (-4, -8) C) (6, 8), (0, 2), (-4, -8)
B) (6, 12), (0, 1), (-4, -8) D) (6, 12), (0, 0), (4, -8)
Find the x- and y-coordinates of each labeled point. 186)
185)
186)
A) R(-5, 6); S(0, -6) C) R(6, -5); S(0, -6)
B) R(6, -5); S(-6, 0) D) R(-5, 6); S(-6, 0)
88
Find the coordinates of the points in the graph. 187)
187)
A) R(2, -6); S(-4, 0) C) R(-6, 2); S(0, -4)
B) R(2, -6); S(0, -4) D) R(-6, 2); S(-4, 0)
A deck of cards contains 52 cards. These cards consist of four suits - hearts, spades, clubs, and diamonds. Each suit contains one of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Assume that one card is selected at random from a well-shuffled deck of cards. 188) Find the probability that the card is a red card. 188) 1 1 1 1 A) B) C) D) 2 26 52 4 A dart is thrown randomly and sticks on the circular dart board shown. Assume that all sectors are the same size and that the dart does not land on a border between shaded areas.
189) Find the probability that the dart lands on a white area. 1 1 5 A) B) C) 4 2 8
89
3 D) 8
189)
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
quadrants plotting bar
line origin x
y experiment circle
class frequency linear tree diagram
probability class interval
190) The point of intersection of the x-axis and the y-axis in the rectangular coordinate system is called the . A) x
B) quadrants
C) y
190)
D) origin
The pictograph shows the number of bicyclists who participated in the Labor Day weekend bicycle race for the years indicated.
191) In what years did more than 70 cyclists participate? A) 2003, 2007 C) 2001, 2003, 2006, 2007
B) 2003, 2006, 2007 D) 2001, 2002, 2003, 2006, 2007
191)
192) What was the average number of cyclists who participated in the race? If necessary, round to the nearest whole number. A) 88 cyclists B) 66 cyclists C) 76 cyclists D) 85 cyclists
192)
193) What was the amount of increase in the number of cyclists from 2005 to 2006? A) 105 B) 60 C) 70
193)
Graph the equation.
90
D) 65
194) y =
1 x 4
194)
A)
B)
C)
D)
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
195) A(n) A) line
quadrants plotting bar
line origin x
y experiment circle
class frequency linear tree diagram
probability class interval
graph displays information with a line that connects data points.
B) circle
C) bar
91
D) histogram
195)
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
196) At what time was the temperature 72°? A) 6 p.m. C) 10 a.m. Find the range for the data set. 197) 13, 13, 13, 17, 24, 24, 24 A) 17
196)
B) 9 a.m. D) 9 a.m. and 10 a.m.
B) 37
C) 11
92
D) 4
197)
Graph the equation. 198) y - x = 1
198)
A)
B)
C)
D)
93
Plot the point corresponding to the ordered pair on the given set of axes. 199) (1, 0)
A)
B)
C)
D)
Graph the equation.
94
199)
200) x = y + 5
200)
A)
B)
C)
D)
95
The pictograph shows the number of bicyclists who participated in the Labor Day weekend bicycle race for the years indicated.
201) In what year did the least number of cyclists participate? A) 2004 B) 2,005 C) 2,007
D) 2003
Find the x- and y-coordinates of each labeled point. 202)
201)
202)
A) G(0, 4); H(-7, -5) C) G(4, 0); H(-7, -5)
B) G(4, 0); H(-5, -7) D) G(0, 4); H(-5, -7)
Find the probability of the event if a single choice is made from a bag. 203) A bag contains 13 balls numbered 1 through 13. What is the probability of selecting a ball that has an even number when one ball is drawn from the bag? 13 2 6 A) B) C) D) 6 6 13 13
203)
Fill in the blank with one of the words or phrases listed below. outcomes pictograph histogram
quadrants plotting bar
204) A(n) A) tree diagram
line origin x
y experiment circle
class frequency linear tree diagram
probability class interval
204)
is one way to picture and count outcomes.
B) histogram
C) circle 96
D) pictograph
Determine whether the ordered pair is a solution of the given linear equation. 205) (0, 4); 3x + 6y = 12 A) Yes B) No
205)
A new car dealership has taken an inventory of the vehicles it has in stock. Below is a histogram indicating the number of vehicles in stock in certain price ranges. Use the histogram to answer the question.
206) How many vehicles in stock are priced $21,000 or more? A) 20 vehicles B) 45 vehicles C) 50 vehicles
97
D) 70 vehicles
206)
Graph the equation. 207) y = -x
207)
A)
B)
C)
D)
98
208) y = 2x
208)
A)
B)
C)
D)
Determine whether the ordered pair is a solution of the given linear equation. 209) (1, 15); y = 15x A) No B) Yes Plot the point corresponding to the ordered pair on the given set of axes.
99
209)
210) 0, -
1 2
210)
A)
B)
C)
D)
100
Graph the linear equation. 211) y = 3
211)
A)
B)
C)
D)
Find the probability of the event if a single choice is made from a bag. 212) A bag contains 26 balls numbered 1 through 26. What is the probability of choosing a ball numbered 27? 1 A) 1 B) 26 C) D) 0 26 Plot the three ordered-pair solutions of the equation.
101
212)
213) x - y = 2; (5, 3), (7, 5), (1, -1)
213)
A)
B)
C)
D)
102
The pictograph shows the number of bicyclists who participated in the Labor Day weekend bicycle race for the years indicated.
214) In what year(s) was there a decline in the number of cyclists who participated in the race? A) 2002, 2003, 2005, 2006 B) 2002, 2004 C) 2003, 2006, 2007 D) 2002, 2004, 2005 Plot the point corresponding to the ordered pair on the given set of axes. 1 1 215) - 5 , - 6 2 2
A)
B)
103
214)
215)
C)
D)
Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes. 216) Choose a number, 1, 2, 3, and then a vowel, a,e,i,o,u. A) 12 outcomes B) 15 outcomes C) 8 outcomes D) 5 outcomes
104
216)
Graph the equation. 217) x - y = -3
217)
A)
B)
C)
D)
A deck of cards contains 52 cards. These cards consist of four suits - hearts, spades, clubs, and diamonds. Each suit contains one of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Assume that one card is selected at random from a well-shuffled deck of cards. 218) Find the probability that the card is an 8 218) 1 1 1 9 A) B) C) D) 4 52 13 13
Determine whether the ordered pair is a solution of the given linear equation. 219) (0, 0); y = 9x A) Yes B) No
105
219)
The circle graph shows the results of the student council presidential election and the percent of the vote each person received. 220) 220) Student Council President
Ming 30%
Jim 24%
Matt 28%
Ted 18%
400 total votes How many people voted for someone other than Matt? A) 328 B) 304 C) 112
D) 288
Find the probability of the event if a single choice is made from a bag. 221) A bag contains 3 red marbles, 7 blue marbles, and 2 green marbles. What is the probability of choosing a blue marble when one marble is drawn? 1 7 7 1 A) B) C) D) 6 12 10 4
221)
A deck of cards contains 52 cards. These cards consist of four suits - hearts, spades, clubs, and diamonds. Each suit contains one of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Assume that one card is selected at random from a well-shuffled deck of cards. 222) Find the probability that the card is a diamond. 222) 4 1 1 1 A) B) C) D) 13 13 52 4
Use the circle graph to solve the problem. 223) The circle graph below gives the inventory of the women's department of a store.
Coats $23,898
Lingerie $5,121
Dresses $23,329
Slacks $10,242
Skirts $6,828 Socks Blouses $2,276 $6,259
In which item of apparel does the store have the smallest investment? A) Coats B) Lingerie C) Skirts
106
D) Socks
223)
Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes. 224) Spin the first spinner once, toss a coin, and spin the second spinner once.
A) 9
B) 48
C) 24
224)
D) 36
Use the circle graph to solve the problem. 225) A survey of the 4,729 vehicles on the campus of State University yielded the following circle graph.
225)
7%
18%
34%
9% 3% 29% Find the number of pickups. Round your result to the nearest whole number. A) 1,608 B) 3,358 C) 1,371
D) 29
The histogram shows the scores of each participant in a game from a total of 100 participants.
226) The greatest number of participants is within which category? A) 40-59 B) 60-79 C) 60-69
107
D) 80-99
226)
Answer Key Testname: CHAPTER 8 1) Answers may vary. The following is a possible answer.
1,965 1,964 1,963 1,962 1,961 1,960 4
8
12
16
2) Friday; 3°F 3)
108
Answer Key Testname: CHAPTER 8 4)
Favorite Sports Among a Group of Students Sports Percent Degrees in Sector Baseball 15% 54° Football 10% 36° Basketball 57% 205° Soccer 12% 43° Others 6% 22°
5) Answers may vary. The following is a possible answer.
$180.00 $160.00 $140.00 $120.00
109
Answer Key Testname: CHAPTER 8 6)
7)
110
Answer Key Testname: CHAPTER 8 8) Answers may vary. The following is a possible answer.
3.6 3.2 2.8 2.4 2.0 1.6 1.2
Apr 7
Apr 22 May 7 May 22 Jun 7
Jun 22
9)
10) Answers may vary. The following is a possible answer.
40 32 24 16 8
1980
1981
1982
1983
1984
111
1985
Answer Key Testname: CHAPTER 8 11) Answers may vary. The following is a possible answer.
20 16 12 8 4
1980
1981
1982
1983
1984
12) Answers may vary. The following is a possible answer. Visitors at Jazz Festival 25 20 15 10 5
13)
Shares of Stock Owned by an Investor Type of Stock Percent of Shares Degrees in sector Company A
40%
144
Company B
24%
86
Company C
36%
130
112
1985
Answer Key Testname: CHAPTER 8 14) Answers may vary. The following is a possible answer. Entree Choices of Customers During One Week 40 30 20 10
15) 89°F 16) C 17) A 18) D 19) C 20) C 21) A 22) D 23) C 24) C 25) A 26) C 27) B 28) C 29) C 30) D 31) D 32) A 33) B 34) A 35) D 36) A 37) A 38) D 39) C 40) D 41) D 42) B 43) D 44) B 45) D 46) A 47) C 48) D 49) A 50) A 51) A 52) D 113
Answer Key Testname: CHAPTER 8 53) C 54) B 55) A 56) B 57) A 58) D 59) C 60) A 61) B 62) D 63) D 64) D 65) B 66) B 67) C 68) C 69) B 70) D 71) D 72) D 73) D 74) A 75) B 76) A 77) A 78) B 79) C 80) D 81) C 82) D 83) C 84) D 85) B 86) D 87) B 88) C 89) B 90) D 91) B 92) A 93) C 94) C 95) B 96) B 97) D 98) B 99) A 100) D 101) D 102) C 114
Answer Key Testname: CHAPTER 8 103) D 104) B 105) B 106) A 107) B 108) B 109) C 110) C 111) C 112) A 113) A 114) B 115) A 116) A 117) D 118) D 119) B 120) A 121) C 122) B 123) A 124) A 125) A 126) A 127) D 128) D 129) A 130) D 131) C 132) D 133) A 134) D 135) A 136) B 137) B 138) D 139) D 140) C 141) D 142) C 143) C 144) C 145) B 146) B 147) B 148) D 149) B 150) A 151) D 152) C 115
Answer Key Testname: CHAPTER 8 153) D 154) C 155) D 156) B 157) B 158) A 159) D 160) D 161) C 162) C 163) A 164) D 165) C 166) C 167) D 168) C 169) A 170) B 171) A 172) A 173) B 174) B 175) D 176) B 177) D 178) C 179) D 180) C 181) C 182) B 183) D 184) D 185) A 186) A 187) C 188) A 189) D 190) D 191) C 192) C 193) D 194) D 195) A 196) B 197) C 198) A 199) C 200) C 201) B 202) C 116
Answer Key Testname: CHAPTER 8 203) C 204) A 205) B 206) B 207) C 208) D 209) B 210) C 211) C 212) D 213) B 214) D 215) A 216) B 217) A 218) C 219) A 220) D 221) B 222) D 223) D 224) C 225) C 226) B
117
Chapter 9 Exam Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Without actually converting, choose the most reasonable answer. 1) The weight of a vitamin is about __________ . A) 200 g B) 2 kg C) 200 kg
D) 20 kg
2) A dinner plate has a diameter of about __________. A) 26 m B) 26 km
C) 26 g
D) 26 cm
3) A baby bottle has a capacity of about __________. A) 25 ml B) 250 ml
C) 2.5 L
D) 25 L
4) The weight of an average woman is about __________ . A) 600 kg B) 60 kg C) 6 kg
D) 0.6 kg
5) A 55-gallon drum has a capacity of about __________ . A) 20.8 L B) 20.8 ml C) 208 L
D) 208 ml
6) A two-car garage is about __________ wide. A) 8 m B) 8000 m
C) 800 m
D) 80 m
7) A plant is 19 inches tall, which is about ________ . A) 0.5 m B) 5 m
C) 500 cm
D) 5 cm
8) Sam aims to drink about 50 fluid ounces of water per day, which is about ________ . A) 150 L B) 15 L C) 1.5 L D) 150 ml Perform the indicated operation. 9) 4.1 dm ÷ 4 A) 16.4 dm
B) 0.1025 dm
C) 1.025 dm
D) 10.25 dm
Find the area of the geometric figure. 10)
7.5 yd
A) 30 sq yd
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
12.5 yd
10 yd
B) 46.875 sq yd
C) 75 sq yd
Convert the measurement as indicated. 11) 6 qt to cups 1 A) 1 c B) 24 c 2
D) 37.5 sq yd
11) C) 48 c
1
D) 96 c
Convert as indicated. 12) 94.49 m to decimeters A) 9.449 dm
B) 944.9 dm
C) 9,449 dm
D) 0.945 dm
Classify the angle as acute, right, obtuse, or straight. 13) A
A) Obtuse
12)
13)
B) Straight
C) Acute
D) Right
Solve. Remember to insert units when writing your answer. 14) In November, 12 tons 1,145 lb of coal were delivered to a steel mill. In December, 6 tons 1,592 lb were delivered. Find the total amount of coal delivered in these two months. A) 6 tons 1,553 lb B) 19 tons 737 lb C) 18 tons 737 lb D) 5 tons 1,553 lb
14)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
15) Two angles that have a sum of 90° are called A) supplementary
volume ray gram obtuse
15)
angles.
B) straight
C) acute
D) complementary
Convert the measurement as indicated. 1 16) 6 pt to cups 2 A) 1
5 c 8
C) 3
B) 26 c
Fill in the blank. 17) A yard is __________ a meter. A) shorter than Solve.
16)
B) the same length as
1 c 4
D) 13 c
C) longer than
18) A plane is cruising at 837 kilometers per hour. Convert this to miles per hour. Round to the nearest whole number. A) 912 mph B) 519 mph C) 1,348 mph D) 544 mph
2
17)
18)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
19) The
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
of a polyhedron is the sum of the areas of the faces of the polyhedrons.
A) area
B) surface area
Convert as indicated. 20) 98 m to centimeters A) 9.8 cm
C) volume
B) 9800 cm
C) 980 cm
19)
D) perimeter
D) 0.98 cm
Find the area of the geometric figure. 21) 4 ft 5 ft
20)
21)
4 ft
17 ft
12 ft
A) 54 sq ft Solve.
B) 184 sq ft
C) 188 sq ft
D) 192 sq ft
22) A paperweight is in the shape of a square-based pyramid 8 centimeters tall. If an edge of the base is 9 centimeters, find the volume of the pyramid. 1.319413953e+13 4.398046511e+12 cu cm cu cm A) 215 B) 647 1.319413953e+13 4.398046511e+12 C) 215
1.319413953e+13 cu cm 1.319413953e+13
22)
D) 2,592 cu cm
23) A circular mural has a radius of 40 meters. Approximate the distance around the mural border. Use 3.14 for . A) 62.8 ft B) 251.2 ft C) 5,024 ft D) 125.6 ft
3
23)
Find the perimeter of the figure. 24) Trapezoid
24)
30 m 12 m
12 m
A) 288 m Fill in the blank. 25)
24 m
B) 30 m
C) 42 m
D) 78 m
25)
angle measures between 90° and 180°.
A) An acute
B) A straight
C) An obtuse
D) A right
Convert as indicated. If necessary, round to the nearest tenth of a degree. 26) 180°C to degrees Fahrenheit A) 118.6°F B) 356°F C) 83°F
D) 292°F
Convert. 27) 34 pt to gallons 1 A) 4 gal 2
1 D) 8 gal 2
1 B) 2 gal 8
1 C) 4 gal 4
Solve. Remember to insert units when writing your answer. 28) A group of 19 hikers is stranded and they have a total of 17.1 L of water remaining between them. If the water is divided equally among all members of the group, how many milliliters will each person get? A) 900 ml B) 90 ml C) 9000 ml D) 190 ml Convert the measurement as indicated. 29) 11 gal 3 qt to quarts A) 56 qt B) 91 qt
C) 25 qt
D) 47 qt
Perform the indicated operation. 30) 29 gal 2 qt ÷ 2 A) 15 gal 1 qt
C) 14 gal 2 qt
D) 14 gal 1 qt
C) 10.6 lb
D) 7.6 lb
B) 14 gal 3 qt
Convert as indicated. 31) 106 oz to the nearest tenth of a pound, if necessary A) 16.6 lb B) 6.6 lb
4
26)
27)
28)
29)
30)
31)
Find the indicated angle. 32) Identify the pair or pairs of complementary angles.
32)
A) ABD and FBC C) ABD and FBC; DBE and EBF Solve.
33)
B) ABD and EBF; DBE and FBC D) DBE and EBF
33)
81 ft Yard
49 ft House
73 ft 22 ft
60 ft A homeowner wants to know how much grass seed to buy. First the size of the yard must be determined. Use the drawing to determine how many square feet are in the yard. A) 5,146.5 sq ft B) 9,215 sq ft C) 4,835 sq ft D) 4,068.5 sq ft
Find the volume of the solid. Use
22 for . 7
34)
34)
4 yd
4 yd
A) 36 cu yd
9 yd
B) 144 cu yd
C) 324 cu yd
5
D) 17 cu yd
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
35)
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
35)
is a measure of the pull of gravity.
A) Mass
B) Area
Perform the indicated operation. 36) 4 c 6 fl oz + 5 c 5 fl oz A) 10 c 4 fl oz
C) Weight
B) 9 c 3 fl oz
D) Volume
C) 11 c 3 fl oz
D) 10 c 3 fl oz
Convert as indicated. If necessary, round to the nearest tenth of a degree. 37) 186.2°F to degrees Celsius A) 303.2°C B) 121.2°C C) 85.7°C
D) 367.2°C
Convert. 38) 4.3 cm to millimeters A) 430 mm
D) 0.043 mm
B) 43 mm
C) 0.43 mm
Find the perimeter of the figure. 39) 16 in.
36)
37)
38)
39)
37 in.
A) 69 in. C) 106 in.
B) 53 in. D) not enough information given
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
40) Two angles that have a sum of 180° are called A) obtuse
volume ray gram obtuse
40)
angles.
B) complementary
C) straight
6
D) supplementary
Find the volume of the solid. Use
41)
22 for . 7
41)
18 in.
20 in.
A) 5091
3 cu in. 7
B) 1018
2 cu in. 7
C) 20365
5 cu in. 7
Convert the measurement as indicated. 42) 160 fl oz to gallons A) 10 gal
1 B) 1 gal 4
C) 5 gal
D) 254
4 cu in. 7
1 D) 2 gal 2
Solve. Remember to insert units when writing your answer. 43) A flagpole which is 4.5 m tall is mounted on a pedestal which is 20 cm high. How far is the top of the flagpole above the ground? A) 4.7 m B) 24.5 m C) 4.52 m D) 6.5 m Convert as indicated. 44) 6.25 lb to ounces A) 1,250 oz
B) 100 oz
C) 625 oz
D) 62.5 oz
Solve. Remember to insert units when writing your answer. 45) A package of trail mix contains 0.3 kg of nuts, 0.13 kg of chocolate bits, and 600 g of dried fruit. Find the total weight of the package. A) 60.43 kg B) 6.43 kg C) 600.43 kg D) 1.03 kg Solve.
46) A drapery panel measures 8 feet by 9 feet. Find how many square feet of material are needed for four panels. A) 72 sq ft B) 504 sq ft C) 576 sq ft D) 80 sq ft
Perform the indicated operation. Simplify the result if possible. 47) 36 ft 6 in. ÷ 3 A) 13 ft 2 in. B) 12 ft 3 in. C) 12 ft 2 in.
D) 2 ft 12 in.
Find the indicated angle. 48) Find the supplement of 52°. A) 308° B) 38°
D) 128°
C) 218°
7
42)
43)
44)
45)
46)
47)
48)
Find the area of the geometric figure. 49) 5m
49)
4m
7m 11 m A) 297 sq m
B) 141 sq m
C) 109 sq m
Perform the indicated operation. Simplify the result if possible. 50) 13 yd 2 ft × 5 A) 74 yd 1 ft B) 68 yd 2 ft C) 68 yd 1 ft Solve.
D) 97 sq m
D) 16 yd 2 ft
51) Find the perimeter of the figure. Approximate the result to the nearest tenth using 3.14 for .
50)
51)
26 yd
6 yd
A) 89.7 yd
B) 70.8 yd
Convert the measurement as indicated. 52) 396 in. to yards A) 11 yd B) 1,188 yd Solve.
C) 63.7 yd
D) 113.7 yd
C) 33 yd
D) 132 yd
53) The outside of a water storage tank is in the shape of a sphere. Approximate to the nearest hundredth the volume of the tank with a radius of 18.4 feet. Use 3.14 for . A) 19,560.64 cu ft B) 26,080.86 cu ft C) 1,417.44 cu ft D) 1,063.08 cu ft
Solve. Remember to insert units when writing your answer. 54) Joel is 1.69 m tall and his father is 44 mm shorter. How tall is Joel's father? A) 1.646 m B) 1.734 m C) 1.25 m
D) 1.6856 m
Convert as indicated. 55) 496 oz to pounds A) 124 lb
D) 32 lb
B) 49 lb
C) 31 lb
8
52)
53)
54)
55)
Identify the figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points. 56) Y W
56)
Z
A) angle; WYZ or ZYW or Y
B) ray; YW
C) line; WY
D) line segment; YZ
Convert as indicated. If necessary, round to two decimal places. 57) 14 ounces to grams A) 0.56 g B) 6.3 g C) 396.9 g Fill in the blank. 58) An ounce weighs _________ a gram. A) greater than B) the same as
D) 30.8 g
58)
C) less than
Convert the measurement as indicated. ft in. 59) 71 in. = A) 5 ft 5 in.
59)
B) 11 ft 5 in.
C) 4 ft 23 in.
D) 5 ft 11 in.
Find the area of the geometric figure. 60) Parallelogram 3
57)
60)
2 m 5
6m
A) 6 sq m
B) 40
4 sq m 5
C) 20
Convert the measurement as indicated. 61) 48 ft to yards A) 144 yd
2 sq m 5
1 C) 5 yd 3
B) 1,728 yd
D) 10
1 sq m 5
61) D) 16 yd
Solve. Remember to insert units when writing your answer. 62) A company wishes to ship 9 boxes of their product, each box weighing 5 lb 3 oz. What is the total weight of 9 boxes? A) 45 lb 11 oz B) 14 lb 11 oz C) 46 lb 11 oz D) 45 lb 3 oz
9
62)
Perform the indicated operation. Simplify the result if possible. 63) 17 ft 8 in. - 2 ft 4 in. A) 15 ft 8 in. B) 15 ft 4 in. C) 19 ft 4 in.
D) 14 ft 4 in.
Perform the indicated operation. 64) 13 tons 1,007 lb + 5 tons 1,605 lb A) 18 tons 612 lb B) 8 tons 1,402 lb
D) 19 tons 612 lb
C) 7 tons 1,402 lb
Find the exact or approximate circumference of the circle, as indicated. 22 for . 65) Find the approximate circumference. Use 7
63)
64)
65)
70 mi
A) 220 mi
B) 440 mi
C) 110 mi
D) 15,400 mi
Find the surface area of the solid. Use 3.14 for . 66)
66)
13.0 in.
A) 132.665 sq in. Solve.
B) 1,149.76 sq in.
C) 176.89 sq in.
D) 530.66 sq in.
67) A tank is in the shape of a cylinder 4 feet tall and 6 feet in radius. Find the exact surface area of the tank. A) 20 sq ft B) 80 sq ft C) 120 sq ft D) 144 sq ft
Perform the indicated operation. 68) 7 gal - 1 qt 1 pt A) 6 gal 2 qt 1 pt
B) 7 gal 1 qt 1 pt
C) 6 gal 3 qt 1 pt
D) 7 gal 2 qt 1 pt
Convert. 69) 47.6 dg to grams A) 4760 g
B) 0.476 g
C) 4.76 g
D) 476 g
10
67)
68)
69)
Perform the indicated operation. 70) 10.2 kg + 8 kg A) 18.2 kg
B) 182 kg
C) 22 kg
D) 2.2 kg
Solve. Remember to insert units when writing your answer. 71) In a lab experiment 500 ml of salt water were added to 1.79 L of water. Later, 340 ml of the solution were drained off. How much of the solution still remains? A) 1,950 ml B) 2,307.9 ml C) 339 ml D) 338.9 ml Convert as indicated. 72) 66 km to meters A) 0.066 m
B) 6,600 m
C) 66,000 m
D) 0.66 m
Convert the measurement as indicated. 1 73) 5 gal to pints 2 A) 88 pt
71)
72)
73)
B) 11 pt
C) 44 pt
D) 22 pt
Solve. Remember to insert units when writing your answer. 74) A submarine probe was lowered to a point 1 mile 4,059 feet below the ocean's surface. Later it was lowered an additional 1 mile 5,075 feet below this point. How far is the probe below the surface? A) 2 mi 4,854 ft B) 2 mi 3,854 ft C) 3 mi 3,854 ft D) 3 mi 3,954 ft Perform the indicated operation. 75) 7 gal 2 qt × 2 A) 15 gal
70)
B) 16 gal
C) 15 gal 2 qt
D) 14 gal
76) WZY A) 130°
B) 120°
C) 110°
D) 115°
Convert as indicated. 77) 6 tons to pounds A) 96 lb
B) 1,200 lb
C) 12,000 lb
D) 6,000 lb
74)
75)
Find the measure of the angle.
11
76)
77)
Find the perimeter (or circumference) and area of the figure. 78)
78)
7 ft
8 ft
A) perimeter = 30 ft area = 112 sq ft C) perimeter = 2 ft area = 56 sq ft Solve.
B) perimeter = 30 ft area = 56 sq ft D) perimeter = 15 ft area = 112 sq ft
79) A box measures 14 inches by 19 inches by 7 inches. Find the volume of this box in cubic centimeters. Round answer to the nearest whole cubic centimeter. A) 4,729 cu cm B) 30,513 cu cm C) 12,013 cu cm D) 1 cu cm
79)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
80)
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
80)
measures the amount of surface of a region.
A) Weight
B) Volume
C) Area
D) Mass
Provide an appropriate response. 81) Find the measure of x.
81)
20°
A) 70° Convert as indicated. 82) 376 mm to centimeters A) 3.8 cm Solve.
B) 125°
C) 65°
D) 160°
B) 37,600 cm
C) 3,760 cm
D) 37.6 cm
83) A rectangular room measures 15 ft by 19 ft. Find the cost of installing a wallpaper border around the room if the border costs $0.76 per foot. A) $433.20 B) $216.60 C) $25.84 D) $51.68
12
82)
83)
84) A regular hexagon has a side length of 0.8 yd. Find its perimeter. A) 4.8 yd B) 4 yd C) 3.2 yd D) not enough information given Perform the indicated operation. Simplify the result if possible. 85) 9 yd 2 ft + 7 yd 1 ft A) 17 yd B) 16 yd C) 2 yd 1 ft
D) 16 yd 2 ft
Solve. Remember to insert units when writing your answer. 86) A rectangular fence is to be installed around a garden 15 ft 8 in. long by 18 ft 7 in. wide. What is the total length of fencing needed to enclose the garden? A) 34 ft 4 in. B) 67 ft 6 in. C) 34 ft 3 in. D) 68 ft 6 in.
84)
85)
86)
Body surface area (BSA) is often used to calculate dosages for some drugs. BSA is calculated in square meters using a person's weight and height. (weight in kg) × (height in cm) BSA = 3600
Solve.
87) Suppose an adult whose height is 60 in. and weight is 99 kg is to receive a drug that has a recommended dosage range of 10-12 mg per square meter. Find the dosage range for this adult. Round to the nearest hundredth, if necessary. A) 12.85 mg to 15.41 mg B) 20.47 mg to 24.57 mg C) 204.72 mg to 245.66 mg D) 8.06 mg to 9.67 mg
87)
88) Approximate to the nearest hundredth the volume of a sphere with a radius of 2.5 centimeters. Use 3.14 for . A) 65.42 cu cm B) 523.33 cu cm C) 26.17 cu cm D) 36.8 cu cm
88)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
89) A(n)
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
is made up of two rays that share the same endpoint. The common end point
is called the
89)
.
A) adjacent; vertical C) angle; vertical
B) adjacent; vertex D) angle; vertex
Convert as indicated. If necessary, round to the nearest tenth of a degree. 90) 62°C to degrees Fahrenheit A) 143.6°F B) 19.4°F C) 55°F
D) 79.6°F
Solve. Remember to insert units when writing your answer. 91) A cab driver paid $25.06 to fill his car with 60.1 liters of gasoline. Find the price per liter of the gasoline to the nearest tenth of a cent. A) $0.417 B) $4.170 C) $0.240 D) $2.398
13
90)
91)
Convert as indicated. If necessary, round to two decimal places. 92) 65 kilograms to pounds A) 165.1 lb B) 29.25 lb C) 143 lb
D) 68.9 lb
Find the perimeter of the figure. 93) 8m 4m
23 m
17 m
13 m
93)
19 m
11 m
A) 105 m
92)
23 m
Perform the indicated operation. 94) 12,420 ml - 0.8 L (in liters) A) 11,620 L
B) 92 m
C) 101 m
D) 118 m
B) 11.62 L
C) 123.4 L
D) 12,419.2 L
94)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
95) A(n)
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
95)
is a set of points extending indefinitely in two directions.
A) line segment
B) line
Convert the measurement as indicated. 96) 5 ft to inches A) 15 in. B) 60 in.
C) ray
D) transversal
C) 20 in.
D) 180 in.
Convert as indicated. If necessary, round to two decimal places. 97) 50 pounds to kilograms A) 127 kg B) 53 kg C) 110 kg
D) 22.5 kg
96)
97)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
98) When two lines intersect, four angles are formed. Two of these angles that are opposite each other are called angles. A) vertical
B) complementary
C) supplementary
14
D) adjacent
98)
Find the measures of x, y, and z in the figure. 99) Given that m n
99)
38°
A) x = 38° y = 38° z = 38°
B) x = 38° y = 142° z = 142°
C) x = 142° y = 38° z = 142°
D) x = 38° y = 142° z = 38°
Solve. 100) Find the capacity (volume in cubic feet) of a rectangular chest with inside measurements of 7 feet 1 1 by 3 feet by 3 feet. 3 4 A) 25
5 cu ft 18
B) 5
1 cu ft 4
C) 75
5 cu ft 6
D) 10
100)
5 cu ft 6
Find the exact or approximate circumference of the circle, as indicated. 101) Find the exact circumference.
101)
9 units
A) 9 units
B) 81 units
C) 4.5 units
D) 18 units
Convert the measurement as indicated. 1 102) 9 qt to pints 2 A) 2
103)
3 pt 8
102)
B) 38 pt
C) 19 pt
D) 4
3 pt 4
1 gal to cups 8
A) 4 c
103) B) 1 c
C)
15
1 c 2
D) 2 c
Find the surface area of the solid. Use 3.14 for . 104)
104)
2m
6m 5m
A) 52 sq m
B) 60 sq m
C) 104 sq m
D) 120 sq m
Solve. 105) An ice cream cone with a 8-centimeter diameter and 13-centimeter depth is filled exactly level with the top of the cone. Approximate how much ice cream (in cubic centimeters) is in the cone. 22 Use for . 7 A) 653
5 cu cm 7
B) 871
13 cu cm 21
C) 217
19 cu cm 21
Convert as indicated. If necessary, round to two decimal places. 106) 27.8 inches to centimeters A) 10.95 cm B) 333.6 cm C) 2.31 cm
D) 2614
6 cu cm 7
D) 70.61 cm
Solve. Remember to insert units when writing your answer. 5 107) One bag of cookies weighs 12 oz. How many pounds will 7 bags weigh? 8 A) 88
3 lb 8
B) 5
37 lb 128
C) 84
5 lb 8
Solve. 108) A roof is inclined at an angle of 64.23°. Find the complement of this angle. A) 26.87° B) 25.77° C) 25.87°
106)
107) D) 5
67 lb 128
D) 26.77°
109) A rectangular room measures 16 ft by 12 ft. Find the cost of installing a strip of wallpaper around the room if the wallpaper costs $0.62 per foot. A) $119.04 B) $34.72 C) $17.36 D) $238.08
16
105)
108)
109)
Find the perimeter (or circumference) and area of the figure. 3.14. 110) Give the exact value and an approximation using
110)
7 mi
43.96 mi A) circumference = 14 area = 196 87.92 sq mi 43.96 mi C) circumference = 7 area = 49 153.86 sq mi
43.96 mi B) circumference = 14 area = 49 153.86 sq mi 43.96 mi D) circumference = 7 area = 196 615.44 sq mi
Find the area of the geometric figure. 111)
Square
111)
10 yd
A) 20 sq yd C) 100
B) 14 sq yd
1 sq yd 3.95824186e+13
D) 40 sq yd
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
112) The measure of the space of a solid is called its A) perimeter
volume ray gram obtuse
112)
.
B) area
C) volume
D) surface area
Perform the indicated operation. 113) 29 lb 10 oz + 18 lb 9 oz A) 47 lb 4 oz
B) 47 lb 3 oz
C) 48 lb 3 oz
D) 48 lb 4 oz
114) 26 lb 1 oz - 15 lb 13 oz A) 11 lb 4 oz
B) 10 lb 4 oz
C) 41 lb 4 oz
D) 11 lb 11 oz
Solve. Remember to insert units when writing your answer. 115) A bottle weighs 188 grams. Find the weight in kilograms of 44 bottles. A) 8,272,000 kg B) 8.272 kg C) 8,272 kg
17
D) 82.72 kg
113)
114)
115)
Solve. 116) A particular vitamin comes in 700 milligram tablets. Convert this to ounces. Round answer to the nearest thousandth, if necessary. A) 24.71 oz B) 0.28 oz C) 0.028 oz D) 7000 oz Perform the indicated operation. 117) 19 gal 4 fl oz ÷ 2 A) 9 gal 2 qt 2 fl oz
B) 9 gal 10 fl oz
C) 9 gal 1 qt 2 fl oz
D) 9 gal 3 qt 2 fl oz
Solve. 118) Find the perimeter of the figure. Approximate the result to the nearest tenth using 3.14 for .
116)
117)
118)
9 cm
4 cm A) 38.6 cm
B) 32.3 cm
C) 28.3 cm
D) 34.6 cm
Solve. Remember to insert units when writing your answer. 119) The sediment on the bottom of a creek is normally 26 cm thick, but a recent flood washed away 10 mm of sediment. How thick is it now? A) 16 cm B) 25.9 cm C) 25 cm D) 250 cm Find the area of the geometric figure. 120) 2m 1 2 m 2
119)
120) 2
1 m 2
5m
A) 61 sq m
11 m
B) 57 sq m
C) 49 sq m
D) 58 sq m
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
121) An angle that measures 90° is called a(n) A) straight
volume ray gram obtuse
121)
angle.
B) supplementary
C) right
18
D) complementary
Convert the measurement as indicated. 3 122) 11 qt to cups 4 A) 22 c
122)
B) 47 c
C) 94 c
D) 44 c
Convert as indicated. If necessary, round to the nearest tenth of a degree. 123) For the production of a special product a substance must be heated to 700°F. Find this temperature in degrees Celsius. A) 1,266.4°C B) 371.1°C C) 385.3°C D) 1,292°C Perform the indicated operation. 124) 9 tons 644 lb - 4 tons 151 lb A) 4 tons 493 lb B) 5 tons 493 lb
C) 13 tons 795 lb
D) 13 tons 493 lb
Solve. Remember to insert units when writing your answer. 125) Two boxes of rice are combined into one container. If one of the boxes contains 2 lb 15 oz and the other contains 1 lb 7 oz, how much total rice is there? A) 3 lb 6 oz B) 3 lb 7 oz C) 4 lb 6 oz D) 4 lb 7 oz Classify the angle as acute, right, obtuse, or straight. 126)
123)
124)
125)
126)
N
A) Acute
B) Right
C) Obtuse
D) Straight
Solve. Remember to insert units when writing your answer. 127) A lab technician mistakenly added 63 cl of a chemical to a mixture instead of 38 ml. Find the excess amount of the chemical. A) 6,262 ml B) 25 ml C) 592 ml D) 62.62 ml Solve. 128) The face-off areas in ice hockey have a diameter of 31.7 ft. Find the area of a face-off circle. Use 3.14 for . Round to the nearest tenth, if necessary. A) 99.5 sq ft B) 3,155.4 sq ft C) 788.8 sq ft D) 394.4 sq ft Convert as indicated. 129) 41.3 dm to meters A) 4.13 m
B) 4,130 m
C) 0.413 m
D) 413 m
Perform the indicated operation. 130) 5.3 g × 8.9 A) 14.2 g
B) 47.17 g
C) 471.7 g
D) 4,717 g
Convert as indicated. 131) 6800 mm to meters A) 6.8 m
B) 68 m
C) 0.68 m
D) 680 m
19
127)
128)
129)
130)
131)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
132) A(n) A) line segment
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
132)
is a piece of a line with two endpoints.
B) perimeter
C) transversal
D) ray
Solve. 133) You find two sizes of tomato sauce at the store. One is 28 fluid ounces and the other is 840 milliliters. Which is larger? A) 28 fl oz B) 840 ml 134) Find how much fencing is needed to enclose a rectangular lot 72 ft by 112 ft. A) 8,064 ft B) 184 ft C) 736 ft Convert as indicated. 135) 481 g to milligrams A) 481,000 mg
B) 48,100 mg
C) 0.481 mg
D) 368 ft
D) 0.0481 mg
Classify the angle as acute, right, obtuse, or straight. 136) S
A) Right
B) Straight
C) Obtuse
135)
D) Acute
138) A 2.72-m sash cord has become frayed at both ends, so 1.3 cm is trimmed from each end. How long is the remaining cord? A) 2.694 m B) 0.12 m C) 2.707 m D) 1.42 m
140) 36 oz to pounds A) 2.25 lb
134)
136)
Solve. Remember to insert units when writing your answer. 137) The highway commission is installing concrete sound barriers along a highway. Each barrier is 3 yd 2 ft long. Find the total length of 4 barriers placed end to end. A) 14 yd 1 ft B) 5 yd 1 ft C) 18 yd 2 ft D) 14 yd 2 ft
Convert. 139) 46 mg to grams A) 0.046 g
133)
B) 4600 g
C) 0.46 g
D) 46,000 g
B) 3 lb
C) 2.571 lb
D) 576 lb
20
137)
138)
139)
140)
Find the perimeter of the figure. 141) Parallelogram
141)
30 m 21 m
A) 51 m
B) 72 m
C) 102 m
D) 81 m
Classify the angle as acute, right, obtuse, or straight. 142)
A A) Obtuse
142)
B) Straight
C) Right
D) Acute
Solve. 143) A gelatin mold is in the shape of a hemisphere (half-sphere). If its diameter is 6 inches, find the exact volume of gelatin that 6 molds will hold. A) 108 cu in. B) 54 cu in. C) 18 cu in. D) 216 cu in.
143)
Find the measure of the angle.
144) BGF A) 135°
B) 140°
C) 150°
D) 145°
Convert the measurement as indicated. 145) 288 fl oz to cups A) 576 c B) 144 c
C) 72 c
D) 36 c
21
144)
145)
Solve. 146) Find the area of the window. If necessary, use
3.14 and round your result to the nearest tenth.
146)
12 ft
5 ft A) 63.9 sq ft
B) 26.8 sq ft
C) 138.5 sq ft
D) 99.3 sq ft
Body surface area (BSA) is often used to calculate dosages for some drugs. BSA is calculated in square meters using a person's weight and height. (weight in kg) × (height in cm) BSA = 3600
147) Calculate the BSA for an adult whose height is 200 cm and weight is 91 kg. Round to the nearest hundredth, if necessary. A) 3.25 sq m B) 7.11 sq m C) 22.48 sq m D) 2.25 sq m Solve. 148) Find the volume of a pyramid with a square base 6 inches on a side and a height of 1 B) 2
A) 39 cu in.
25 cu in. 72
C) 2
1 cu in. 6
1 inches. 12
147)
148)
D) 13 cu in.
149) A stone is a unit in the British customary system. Paul weighs 67.7 kilograms. Convert this weight to stones and pounds. Round to the nearest pound. Use this conversion: 1 stone = 14 pounds. A) 2 stone 8 lb B) 5 stone 9 lb C) 10 stone 9 lb D) 14 stone 9 lb Identify the figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points. 150)
149)
150)
D E
A) line; DE
B) ray; ED
C) ray; DE
D) line segment; DE
Convert the measurement as indicated. 151) 52,800 ft to miles A) 10 mi B) 264 mi
C) 10.5 mi
22
D) 11 mi
151)
152) 7 c to pints A) 14 pt
3 C) 1 pt 4
B) 28 pt
Perform the indicated operation. 153) 16.1 dm + 6.5 dm A) 22.6 dm
B) 32.6 dm
154) 74 cm - 64 mm (in centimeters) A) 73.36 cm B) 10 cm
1 D) 3 pt 2
C) 81.1 dm
D) 21.6 dm
C) 67.6 cm
D) 676 cm
Find the area of the geometric figure. 155)
8.9 m
157) 36 qt to gallons A) 36 gal
B) 53.4 sq m
C) 14.9 sq m
D) 5.34 sq m
156)
B) 13 yd 2 ft
C) 12 yd 2 ft
D) 12 yd 1 ft
B) 18 gal
C) 9 gal
D) 72 gal
Fill in the blank. 158) A centimeter is _________ an inch. A) shorter than
B) the same length as
Convert the measurement as indicated. 159) 14 c to gallons 1 7 gal A) 3 gal B) 2 16
C)
7 gal 8
C) longer than
D) 1
3 gal 4
Find the area of the geometric figure. 160)
157)
158)
159)
160)
r = 11 mi
Use 3.14 for . A) 379.94 sq mi
154)
6m
Convert the measurement as indicated. yd ft 156) 37 ft = A) 11 yd 1 ft
153)
155)
Rectangle
A) 534 sq m
152)
B) 1,519.76 sq mi
C) 138.16 sq mi
23
D) 69.08 sq mi
Convert as indicated. 161) 400 m to kilometers A) 0.4 km 162) 820 kl to liters A) 8.2 L Find the volume of the solid. Use
B) 40,000 km
C) 400,000 km
D) 4 km
B) 0.82 L
C) 820,000 L
D) 82,000 L
161)
162)
22 for . 7
163)
163)
4 cm
7 cm
1 cu cm 7
B) 352 cu cm
C) 88
Perform the indicated operation. 164) 5 pt - 2 pt 1 c A) 3 pt 1 c
B) 2 pt 3 c
C) 7 pt 1 c
D) 2 pt 1 c
Convert as indicated. 165) 26.4 mm to decimeters A) 2.64 dm
B) 2640 dm
C) 264 dm
D) 0.264 dm
A) 88 cu cm
D) 308 cu cm
164)
165)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
166) An angle whose measure is between 90° and 180° is called a(n) A) angle
B) acute
volume ray gram obtuse
angle.
C) adjacent
D) obtuse
Provide an appropriate response. 167) Find the complement of a 36° angle. A) 144° B) 234°
C) 324°
D) 54°
Convert as indicated. 168) 6400 cm to meters A) 640,000 m
C) 6.4 m
D) 64 m
B) 6,400,000 m
24
166)
167)
168)
Solve. 169) A painting in a museum is 200 centimeters wide. Convert this width to inches. Round answer to the nearest hundredth, if necessary. A) 656 in. B) 78.74 in. C) 508 in. D) 60.98 in. Fill in the blank. 170) A foot is __________ a meter. A) the same length as
B) longer than
C) shorter than
Convert the measurement as indicated. 171) 84 in. to feet A) 28 ft
B) 7 ft
C) 252 ft
D)
Perform the indicated operation. Simplify the result if possible. 172) 15 ft 4 in. - 12 ft 11 in. A) 3 ft 5 in. B) 2 ft 5 in. C) 27 ft 5 in.
7 ft 12
D) 3 ft 7 in.
Find the surface area of the solid. Use 3.14 for . 173)
169)
170)
171)
172)
173)
10 mi
A) 314.00 sq mi
B) 1,256.00 sq mi
C) 4,186.67 sq mi
D) 418.67 sq mi
Solve. Remember to insert units when writing your answer. 174) How many gallons of punch have been prepared if 4 pt 1 c of fruit juice is mixed with 10 pt 1 c of ginger ale? Give your answer as a mixed number. 3 7 3 15 gal A) 1 gal B) 1 gal C) 3 gal D) 4 8 4 16 175) Find the area in square feet of a rectangular yard whose length is 58 feet.
A) 5,841 sq ft
B) 5,742
1 sq ft 3
1 yards and whose width is 99 3
C) 17,226 sq ft
25
D) 17,325 sq ft
174)
175)
Find the volume of the solid. Use
22 for . 7
176)
176)
2 ft
4 ft
A) 32 cu ft
C) 10
B) 4 cu ft
Find the indicated angle. 177) Find the supplement of 148°. A) 212° B) 32°
2 cu ft 3
C) 122°
D) 16 cu ft
D) not possible
Convert the measurement as indicated. in. 178) 29 yd 2 ft = A) 89 in.
177)
178)
B) 420 in.
C) 1,068 in.
D) 31 in.
Find the area of the geometric figure. 179)
179)
d = 4 ft
Use 3.14 for . A) 24.12 sq ft
B) 50.24 sq ft
Find the perimeter of the figure. 180) 14 yd
C) 12.56 sq ft
D) 25.12 sq ft
180)
7 yd 3 yd 15 yd
10 yd
A) 49 yd C) 95 yd
B) 98 yd D) not enough information given
26
Convert as indicated. 181) 9.3 tons to pounds A) 9,300 lb
B) 18,600 lb
C) 148.8 lb
D) 1,860 lb
Convert as indicated. If necessary, round to the nearest tenth of a degree. 182) A weather forecaster has predicted a high temperature of 9°C for tomorrow. Find this temperature in degrees Fahrenheit. A) -27°F B) 37°F C) -15.8°F D) 48.2°F Solve. Remember to insert units when writing your answer. 183) Harry caught a fish weighing 37 lb 15 oz and then caught a second fish weighing 23 lb 12 oz. How much more did the first fish weigh? A) 13 lb 3 oz B) 61 lb 11 oz C) 60 lb 11 oz D) 14 lb 3 oz Convert as indicated. 184) 72 hg to centigrams A) 0.072 cg
B) 720,000 cg
C) 0.72 cg
D) 72,000 cg
Find the area of the geometric figure. 185) 5 cm
7
A) 18
182)
183)
184)
185)
1 cm 3
1 sq cm 3
B) 12
Find the volume of the solid. Use
186)
2 sq cm 9
C) 3
2 sq cm 3
D) 36
2 sq cm 3
22 for . 7
186)
1 4 m 2
7m
A) 16
181)
1 cu m 2
B) 148
1 cu m 2
C) 33 cu m
27
D) 445
1 cu m 2
Solve. 187) Find the perimeter of the figure. Approximate the result to the nearest tenth using 3.14 for .
187)
11 m
11 m A) 56.5 m
B) 50.3 m
C) 28.3 m
D) 67.5 m
Convert the measurement as indicated. 1 188) cup to quarts 5 A)
2 qt 5
B)
188) 4 qt 5
C)
1 qt 10
D)
1 qt 20
Solve. Remember to insert units when writing your answer. 189) A supermarket sells soup in 2-qt-1-pt containers. How much soup is contained in three such containers? A) 1 gal 3 qt 1 pt B) 3 gal 1 pt C) 3 gal 3 pt D) 1 gal 3 qt Convert the measurement as indicated. 190) 8,800 yd to miles
4 B) 8 mi 5
A) 5 mi
Convert as indicated. 191) 3,354 lb to the nearest tenth of a ton, if necessary A) 209.6 tons B) 3.4 tons
C) 26,400 mi
2 D) 1 mi 3
C) 33.5 tons
D) 1.7 tons
Identify the figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points. 192) D A
G
A) angle; DGA or GDA or G
B) line; DG
C) angle; ADG or GDA or D
D) angle; DAG or GAD or A
28
189)
190)
191)
192)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
193) A(n)
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
is a part of a line with one endpoint and extends indefinitely in one direction.
A) ray
B) transversal
C) perimeter
193)
D) line segment
Find the measure of the indicated angle. The figure is not drawn to scale. 194) Find the measure of x.
194)
32°
A) 53°
B) 113°
C) 58°
D) 148°
Find the measure of the angle.
195) CGF A) 110°
B) 100°
C) 90°
D) 105°
Find the exact or approximate circumference of the circle, as indicated. 22 for . 196) Find the approximate circumference. Use 7
196)
350 cm
A) 385,000 cm
B) 550 cm
C) 2,200 cm
29
195)
D) 1,100 cm
Find the volume of the solid. Use
22 for . 7
197)
197)
10.5 cm 10.5 cm
10.5 cm A) 31.5 cu cm
B) 1,157.625 cu cm
C) 110.25 cu cm
D) 220.5 cu cm
Solve. Remember to insert units when writing your answer. 198) A lumber yard is going to cut a board which is 20 m into 4 pieces of equal length. How long will each piece be? A) 6 m B) 15 m C) 5 m D) 16 m Solve. 199) Find the perimeter of a square picture frame if the length of one side is 6.6 in. A) 43.56 in. B) 13.2 in. C) 19.8 in.
D) 26.4 in.
Solve. Remember to insert units when writing your answer. 200) A nature path in a state park is 14 mi 640 yd long. If a hiker hikes this path 3 times in a year, what is the total distance that he has hiked on this path? A) 42 mi 640 yd B) 43 mi 160 yd C) 44 mi 161 yd D) 44 mi 160 yd Find the area of the geometric figure. 201)
199)
200)
201)
3m
8m
3m A) 42 sq m
198)
B) 18 sq m
C) 48 sq m
30
D) 33 sq m
Find the measure of the angle.
202) WZX A) 30°
B) 90°
Perform the indicated operation. 203) 15.75 L ÷ 2.1 A) 0.075 L
C) 100°
B) 7.5 L
C) 75 L
D) 25°
D) 0.75 L
Find the perimeter of the figure. 204)
10 yd
202)
203)
204)
10 yd
10 yd A) 50 yd
Convert as indicated. 205) 11 kg to milligrams A) 0.11 mg
B) 20 yd
C) 29 yd
D) 30 yd
B) 0.011 mg
C) 11,000,000 mg
D) 1,100 mg
Solve. Remember to insert units when writing your answer. 206) A bottle of soft drink weighs 260 grams. If a carton contains six bottles, find the weight in kilograms of 6 cartons. A) 1.56 kg B) 9.36 kg C) 0.156 kg D) 0.936 kg Solve. 207) The distance between two cities is 628 kilometers. Convert this to miles. Round answer to the nearest hundredth, if necessary. A) 1,011.08 mi B) 188.4 mi C) 389.36 mi D) 684.52 mi
205)
206)
207)
A cubic centimeter (cc) is the amount of space that a volume of 1 ml occupies. Because of this, we say that 1 cc = 1 ml. A common syringe is one with a capacity of 3 cc. Use the diagram below to find the indicated measurement.
208) B
A) 12 cc
B) 0.12 cc
C) 0.012 cc 31
D) 1.2 cc
208)
Solve. Remember to insert units when writing your answer. 209) An oil drum holds 32 gal of oil. If 5 gal and 1 qt have been removed, how much oil remains? A) 27 gal 1 qt B) 26 gal 3 qt C) 27 gal 3 qt D) 26 gal 7 qt
209)
Convert as indicated. 210) 0.56 km to centimeters A) 56,000 cm
210)
B) 5.6 cm
C) 560 cm
D) 5600 cm
Solve. 211) A gardener wants to put a fence around a garden with sides of lengths 56 m, 16 m, 82 m, and 21 m. How much fencing must he buy? A) 206 m B) 175 m C) 144 m D) 276 m Identify the figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points. 212)
211)
212)
Y
V
A) ray; VY
B) angle; VY
C) line segment; VY
D) line; VY
Solve. 213) The speed limit is 80 miles per hour. Convert this to kilometers per hour. Round answer to the nearest hundredth, if necessary. A) 24 km per hr B) 49.6 km per hr C) 203.2 km per hr D) 128.8 km per hr Convert as indicated. 214) 874 mg to kilograms A) 874,000 kg
B) 0.000874 kg
C) 0.0874 kg
Find the indicated angle. 215) Identify the pair or pairs of supplementary angles.
D) 87,400 kg
213)
214)
215)
A) ABD and EBF
B) ABE and DBF
C) ABE and ABD; ABE and EBF; DBF and EBF; DBF and ABD
D) There are none.
32
Solve. Remember to insert units when writing your answer. 216) A carpenter needs to cut a board into thirds. If the board is 36 ft 8 in. long originally, how long will each cut piece be? A) 9 ft 3 in. B) 32 ft 4 in. C) 9 ft 8 in. D) 9 ft 2 in. Identify the figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points. 217)
216)
217)
M
N
O
A) line segment; MN
B) line; MN
C) ray; NO
D) angle; MNO or ONM or N
Convert the measurement as indicated. 3 218) qt to fluid ounces 4 A) 12 fl oz
218)
B) 24 fl oz
C) 48 fl oz
Find the indicated angle. 219) Find the complement of 155°. A) 65° B) 25°
C) 155°
D) 6 fl oz
D) not possible
Find the surface area of the solid. Use 3.14 for . 220)
219)
220)
7 ft
7 ft
A) 147 sq ft
7 ft
B) 343 sq ft
C) 392 sq ft
D) 294 sq ft
Solve. 221) The tree in the Morton's back yard is 10.8 m tall. Because it blocks too much light, they ask a tree 1 trimmer to remove the top of the tree. How tall will the tree be after being shortened? 4 A) 8.5 m
B) 10.6 m
C) 8.1 m
33
D) 2.7 m
221)
Perform the indicated operation. 222) 5 gal - 2 gal 3 qt A) 2 gal 1 qt
B) 3 gal 1 qt
Convert the measurement as indicated. 223) 27 c to quarts 1 A) 13 qt B) 54 qt 2
C) 3 gal 3 qt
D) 2 gal 5 qt
3 C) 6 qt 4
3 D) 3 qt 8
222)
223)
Solve. 224) A water storage tank is in the shape of a cone with the pointed end down. If the radius is 28 feet 22 and the depth of the tank is 18 feet, find the volume of the tank in cubic feet. Use for . 7 A) 528 cu ft
B) 9,504 cu ft
Perform the indicated operation. 225) 17 cm + 5 dm (in centimeters) A) 517 cm B) 5.17 cm
C) 44,352 cu ft
D) 14,784 cu ft
C) 22 cm
D) 1,705 cm
Solve. 226) A circular walkway has a radius of 126 m. Approximate the distance around the walkway. Use for . A) 198 m
B) 792 m
C) 396 m
B) 22 c
C) 20 c
226)
D) 10 c
B) 88 fl oz
C) 44 fl oz
228) D) 22 fl oz
Find the exact or approximate circumference of the circle, as indicated. 229) Find the exact circumference.
229)
75 km
A) 5,625 km
22 7
227)
Solve. Remember to insert units when writing your answer. 3 228) A container holds 2 quarts of liquid. How many fluid ounces is this? 4 A) 11 fl oz
225)
D) 49,896 m
Convert the measurement as indicated. 1 227) 5 pt to cups 2 A) 11 c
224)
B) 37.5 km
C) 75 km
34
D) 150 km
Identify the figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points. 230)
230)
Y
W
A) angle; YW
B) line; YW
C) ray; YW
D) line segment; YW
Solve. 231) A circular flower garden has a diameter of 86 feet. Approximate the distance around the garden. Use 3.14 for . A) 270.04 ft B) 540.08 ft C) 135.02 ft D) 23,223.44 ft 232) An engineer designing a tunnel specifies a length of 96 m. The actual construction requires the tunnel to be 450 cm longer. What is the final length of the tunnel, in meters? A) 96.45 m B) 4,596 m C) 141 m D) 100.5 m Convert as indicated. If necessary, round to two decimal places. 233) 10.5 liters to gallons A) 2.73 gal B) 11.13 gal C) 39.8 gal
D) 9.98 gal
Solve. 234) A swimming pool is in the shape of a cylinder 5 feet deep and 9 feet in radius. Find the exact volume of the pool. A) 81 cu ft B) 405 cu ft C) 405 cu ft D) 45 cu ft Convert the measurement as indicated. 235) 104 fl oz to quarts 1 1 A) 3 qt B) 6 qt 4 2
5 C) 1 qt 8
Convert as indicated. If necessary, round to the nearest tenth of a degree. 236) 127°F to degrees Celsius A) 52.8°C B) 260.6°C C) 102.6°C
232)
233)
234)
235) D) 26 qt
D) 171°C
Solve. Remember to insert units when writing your answer. 237) A photographer wishes to enlarge a portion of a photograph. The length of the desired portion is 1.1 times the desired portion's width. If the enlargement is to be 9.2 cm wide, what will its length be? A) 1,012 cm B) 101.2 cm C) 10.12 cm D) 1.012 cm
35
231)
236)
237)
Identify the figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points. 238)
238)
V
Z
A) line; VZ
B) line segment; ZV
C) ray; VZ
D) ray; ZV
Convert. 239) 7.67 kg to grams A) 0.00767 g
B) 0.0767 g
C) 767 g
Convert as indicated. If necessary, round to the nearest tenth of a degree. 240) 185°F to degrees Celsius A) 120.6°C B) 70.8°C C) 85°C
D) 7670 g
D) 365°C
Find the perimeter of the figure. 241) Square
239)
240)
241)
6.8 yd
A) 92.48 yd
B) 27.2 yd
Find the volume of the solid. Use
242)
C) 37.2 yd
D) 13.6 yd
22 for . 7
242)
3m 2m
8m
A) 144 cu m Convert as indicated. 243) 233.6 cm to millimeters A) 23,360 mm
B) 48 cu m
C) 13 cu m
D) 6 cu m
B) 233.6 mm
C) 2,336 mm
D) 2.336 mm
36
243)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
244) The basic unit of length in the metric system is the A) gram 245) A(n)
volume ray gram obtuse
244)
.
B) meter
C) liter
D) perimeter 245)
is the basic unit of mass in the metric system.
A) perimeter
B) gram
C) liter
D) meter
Find the surface area of the solid. Use 3.14 for . 246)
246)
4 yd
7 yd
A) 331.07 sq yd Convert. 247) 3
B) 87.92 sq yd
C) 153.86 sq yd
D) 50.24 sq yd
1 gal to quarts 4
A) 13 qt
247) B) 12 qt
C) 26 qt
Solve. 248) Find the surface area of a box in the shape of a cube that is 8 feet on each side. A) 256 sq ft B) 64 sq ft C) 512 sq ft
D) 6 qt
D) 384 sq ft
Classify the angle as acute, right, obtuse, or straight. 249)
249)
S
A) Acute
248)
B) Straight
C) Obtuse
37
D) Right
Convert as indicated. 250) 0.81 L to milliliters A) 81 ml 251) 61 kg to grams A) 61,000 g
B) 0.00081 ml
C) 810 ml
D) 0.0081 ml
B) 0.61 g
C) 6,100 g
D) 0.061 g
Solve. Remember to insert units when writing your answer. 1 252) One bag of cookies weighs 6 ounces. How many pounds will 16 bags weigh? Give your answer 2 in pounds and ounces. A) 10 lb 16 oz
B) 8 lb 32 oz
C) 104 lb
251)
252)
D) 6 lb 0.5 oz
Convert as indicated. If necessary, round to the nearest tenth of a degree. 253) The temperature recorded on a thermometer was 38°C. Find the corresponding temperature in degrees Fahrenheit. A) 100.4°F B) 53.1°F C) 36.4°F D) -10.9°F Perform the indicated operation. 254) 3 gal 1 pt - 1 pt 7 fl oz A) 3 gal 7 fl oz C) 2 gal 1 fl oz
250)
B) 2 gal 3 qt 1 pt 1 c 1 fl oz D) 2 gal 3 qt 1 pt 1 fl oz
253)
254)
Solve. 255) At birth, Lisa weighed 6 pounds 7 ounces. How many grams is that? Round to the nearest gram. A) 227 g B) 2,580 g C) 4 g D) 2,920 g
255)
Perform the indicated operation. 256) 59 gal 2 qt ÷ 2 A) 29 gal 3 qt
256)
B) 29 gal 1 qt
C) 30 gal 1 qt
Convert. Round to the nearest tenth of a degree, if necessary. 257) 105°F to degrees Celsius A) 40.6°C B) 131.4°C
C) 90.3°C
D) 29 gal 2 qt
D) 221°C
Solve. Remember to insert units when writing your answer. 258) There are two trees in Raul's garden. One tree is 36 ft 2 in. tall. The other tree is 24 ft 10 in. tall. How much taller is the taller tree? A) 60 ft 4 in. B) 12 ft 4 in. C) 12 ft 8 in. D) 11 ft 4 in. 259) A farmer plans to use 35.8 meters of leftover fencing material to enclose a square garden plot for her daughter. How long will each side of the garden be? A) 7.16 m B) 17.9 m C) 4.475 m D) 8.95 m Convert as indicated. 260) 29.89 m to kilometers A) 29,890 km
B) 2,989 km
C) 0.2989 km
38
D) 0.02989 km
257)
258)
259)
260)
Perform the indicated operation. 261) 9 gal 3 fl oz × 3 A) 35 gal 1 fl oz C) 27 gal 1 c 1 fl oz
261)
B) 28 gal 1 fl oz D) 27 gal 1 pt 1 fl oz
Solve. 262) Find the exact volume and surface area of a sphere of radius 4 inches. 256 cu in.; SA = 64 sq in. A) V = B) V = 256 cu in.; SA = 4 sq in. 3 C) V =
64 3
cu in.; SA =
256 3
sq in.
262)
D) V = 64 cu in.; SA = 16 sq in.
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
263) The A) surface area Convert as indicated. 264) 57.6 cg to dekagrams A) 0.0576 dag
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
263)
of a polygon is the distance around the polygon.
B) volume
C) area
D) perimeter
B) 5,760 dag
C) 0.00576 dag
D) 57,600 dag
Solve. 265) A hotel is building a fitness center measuring 252 ft × 62 ft. The flooring to cover the space is made of a special 3-layer cushioned tile and costs $20.00 per square foot. How much will it cost for the new flooring? A) $12,560 B) $15,624 C) $312,480 D) $334 Fill in the blank. 266) A kilogram weighs __________ a pound. A) less than B) the same as
C) greater than
Solve. Remember to insert units when writing your answer. 267) A gas tank contains 38.1 L of gasoline. To top it off, 856 ml of gasoline were added to it. Find the total amount of gasoline in the tank. A) 38.956 L B) 3,895.6 L C) 38,956 L D) 46.66 L Solve. 268) A pizza restaurant advertises two specials. The first special is a 10-inch pizza for $12. The second special is two 6-inch pizzas for $11. Determine the better buy. (Hint: First compare the areas of the two specials and then find a price per square inch for both specials.) A) The two specials are equivalent buys. B) 10-in. pizza C) two 6-in. pizzas
39
264)
265)
266)
267)
268)
Solve. Remember to insert units when writing your answer. 269) The total pages of a hardbound book are 2.3 cm thick. The front and back covers are each 1.4 mm thick. How high would a stack of 7 of these books be? A) 2.58 cm B) 17.08 cm C) 18.06 cm D) 35.7 cm Solve. 270) A child measures 102 centimeters. Convert this to feet and inches. Round answer to the nearest inch, if necessary. A) 4 ft 5 in. B) 2 ft 5 in. C) 3 ft 4 in. D) 2 ft 4 in. Find the measures of x, y, and z in the figure. 271)
269)
270)
271)
10°
A) x = 10° y = 170° z = 170°
B) x = 170° y = 10° z = 170°
C) x = 80° y = 10° z = 80°
D) x = 135° y = 10° z = 135°
Convert as indicated. If necessary, round to two decimal places. 272) 59 kilometers to miles A) 149.86 mi B) 36.58 mi C) 17.7 mi
D) 94.99 mi
Find the exact or approximate circumference of the circle, as indicated. 3.14. 273) Find the approximate circumference. Use
272)
273)
106 ft
A) 665.68 ft
B) 35,281.04 ft
C) 166.42 ft
D) 332.84 ft
Solve. Remember to insert units when writing your answer. 274) A furniture company packs its chairs in boxes and stacks these boxes in a distribution warehouse. Each box is 2 ft 2 in. wide. How far from the wall would 9 of these boxes extend? Assume that there is no space between boxes. A) 18 ft 6 in. B) 19 ft 8 in. C) 18 ft 18 in. D) 19 ft 6 in.
40
274)
Find the area of the geometric figure. 275) 6 ft
275)
5 ft
A) 30 sq ft
B) 60 sq ft
C) 11 sq ft
D) 15 sq ft
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
276) An angle whose measure is between 0° and 90° is called a(n)
angle.
A) adjacent
B) obtuse
C) acute
D) angle
Perform the indicated operation. 277) 2.5 L + 1,800 ml (in liters) A) 20.5 L
B) 4,300 L
C) 251.8 L
D) 4.3 L
Convert as indicated. 278) 32.78 mm to meters A) 0.3278 m
B) 3,278 m
C) 32,780 m
D) 0.03278 m
Solve. 279) The length of a rectangle is 130 in. and the width is 56 in. Find its perimeter. A) 7,280 in. B) 372 in. C) 316 in.
D) 186 in.
Perform the indicated operation. 280) 16.1 kl + 20.8 kl A) 224.1 kl
D) 369 kl
B) 36.9 kl
C) 181.8 kl
Solve. 281) Approximate to the nearest hundredth the volume of a sphere with diameter of 2.3 meters. Use 3.14 for . A) 16.61 cu m B) 38.20 cu m C) 6.37 cu m D) 2.77 cu m Find the area of the geometric figure. 282) Parallelogram
277)
278)
279)
280)
281)
282)
4.75 m
2m A) 9.5 sq m
276)
B) 19 sq m
C) 9.5 m
41
D) 4.75 sq m
Find the measure of the indicated angle. The figure is not drawn to scale. 283) If m and n are parallel, find the measure of u.
51°
283)
47°
A) 51°
B) 47°
C) 39°
D) 43°
Convert as indicated. If necessary, round to the nearest tenth of a degree. 284) 16.3°C to degrees Fahrenheit A) -2.7°F B) 41.1°F C) -22.9°F
D) 61.3°F
Perform the indicated operation. 285) 72 cm - 56 mm (in centimeters) A) 71.44 cm B) 664 cm
D) 16 cm
C) 66.4 cm
Solve. Remember to insert units when writing your answer. 286) Four years ago, John planted a tree in his garden. It was 4 ft 7 in. tall. Since then the tree has grown 7 ft 8 in. How tall is the tree now? A) 11 ft 3 in. B) 12 ft 3 in. C) 12 ft 5 in. D) 11 ft 15 in. Solve. 287)
284)
285)
286)
287)
6 ft
14 ft
14 ft 10 ft
The drawing shows the end of a building that is to be bricked. If the area of the side of a brick used is 1 square foot, find the number of bricks needed to completely cover the side of the building. 6
A) 364 bricks
B) 60 bricks
Fill in the blank. 288) The measure of a straight angle is
C) 2,184 bricks
D) 2,688 bricks
288)
.
A) 180° C) 90°
B) between 90° and 180° D) between 0° and 90°
Convert the measurement as indicated. 289) 6.7 mi to feet A) 35,376 ft B) 2,948 ft
C) 982.67 ft
42
D) 11,792 ft
289)
Convert as indicated. If necessary, round to two decimal places. 290) 800 grams to ounces A) 22,680 oz B) 17.6 oz C) 32 oz
D) 3.6 oz
Solve. Remember to insert units when writing your answer. 291) A floor tile is 28.95 cm wide. How many tiles in a row are needed to cross a room 7.527 m wide? 28.95 cm
A) 260 tiles
7.527 m
B) 2.6 tiles
C) 26 tiles
290)
291)
D) 2,600 tiles
Find the exact or approximate circumference of the circle, as indicated. 3.14. 292) Find the approximate circumference. Use
292)
3.3 mi
A) 20.724 mi
B) 5.181 mi
C) 8.549 mi
D) 10.362 mi
Find the perimeter (or circumference) and area of the figure. 293) 3 cm
15 cm
293)
6 cm 25 cm
A) perimeter = 80 cm area = 177 sq cm C) perimeter = 49 cm area = 375 sq cm
B) perimeter = 80 cm area = 375 sq cm D) perimeter = 49 cm area = 177 sq cm
Solve. 294) One package of ground beef weighs 1.25 pounds, while another weighs 2.5 pounds. Find the difference between these two packages in grams. Round to the nearest hundredth, if necessary. A) 562.5 g B) 5625 g C) 56.25 g D) 5.625 g
43
294)
Find the measure of the indicated angle. The figure is not drawn to scale. 295) Find the measure of x.
71°
A) 192°
295)
121°
B) 50°
C) 31°
D) 59°
Identify the figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points. 296)
G
F
A) angle; GF
B) line; GF
C) ray; GF
D) line segment; GF
Find the exact or approximate circumference of the circle, as indicated. 3.14. 297) Find the approximate circumference. Use
297)
4.5 yd
A) 5.715 yd
296)
B) 63.585 yd
C) 28.26 yd
44
D) 14.130 yd
Find the area of the geometric figure. 298)
298)
7 yd
5.9 yd
2.2 yd
6 yd
A) 122.7 sq yd C) 86.3 sq yd
11 yd
B) 76.15 sq yd D) not enough information given
Convert the measurement as indicated. 299) 18 ft to yards A) 54 yd
1 C) 1 yd 2
B) 216 yd
299) D) 6 yd
Solve. Remember to insert units when writing your answer. 300) Two milligrams of preservatives are added to a 0.3-kg box of dried fruit. How many milligrams of preservatives are in 3 cartons of dried fruit if each carton contains 14 boxes? A) 50.4 mg B) 168 mg C) 12.6 mg D) 42 mg Perform the indicated operation. 301) 42 g ÷ 4 A) 105 g 302) 3 gal 2 qt + 6 gal 3 qt A) 11 gal 1 qt
B) 10.5 g
C) 0.95 g
B) 10 gal 3 qt
C) 9 gal 1 qt
Solve. 303) How much soil is needed to fill a rectangular hole 8 feet by 4 feet by 9 feet? A) 128 cu ft B) 324 cu ft C) 288 cu ft
D) 0.1 g
D) 10 gal 1 qt
D) 576 cu ft
304) A punch recipe calls for 10 gallons of juice. How many liters is that? Round to the nearest tenth of a liter. A) 9.5 L B) 2.6 L C) 37.9 L D) 10.6 L Solve. Remember to insert units when writing your answer. 305) Sara wants to consume no more than 6.9 g of saturated fat with her breakfast. If her tea with milk contains 211 mg of saturated fat, how much more saturated fat can she have with her breakfast? A) 66.89 mg B) 6,689 g C) 4.79 g D) 6.689 g
45
300)
301)
302)
303)
304)
305)
Find the perimeter of the figure. 306) 15 cm
306) 8 cm
16 cm
A) 64 cm
B) 38 cm
C) 39 cm
D) 31 cm
Solve. Remember to insert units when writing your answer. 307) A company ships its product in boxes weighing 5 lb 4 oz. The boxes are packed in cartons of 3 boxes each. How much will 6 cartons weigh? A) 94 lb 8 oz B) 15 lb 12 oz C) 32 lb 4 oz D) 93 lb 8 oz Convert the measurement as indicated. 308) 11 qt to cups A) 88 c B) 176 c
C) 44 c
D) 22 c
Perform the indicated operation. 309) 9 tons 402 lb - 5 tons 725 lb A) 4 tons 1,677 lb B) 3 tons 1,677 lb
C) 14 tons 1,127 lb
D) 4 tons 323 lb
Convert as indicated. 310) 81.77 g to milligrams A) 0.08177 mg
B) 0.008177 mg
C) 8,177 mg
D) 81,770 mg
Perform the indicated operation. 311) 5.9 L - 255 ml (in liters) A) 5,645 L
B) 5.645 L
C) 56.45 L
D) 3.35 L
307)
308)
309)
310)
311)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
312)
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
is a measure of the amount of substance in an object. This measure does not change. A) Area
Convert as indicated. 313) 31 ml to liters A) 31,000 L
B) Weight
C) Volume
D) Mass
B) 0.031 L
C) 3,100 L
D) 0.31 L
C) 4 gal
7 D) 1 gal 8
Convert the measurement as indicated. 314) 30 pt to gallons 1 3 A) 7 gal B) 3 gal 2 4
46
312)
313)
314)
Solve. 315) An inflatable circular pool has a radius of 3 for .
A) 9
20 ft 21
B) 31
Convert as indicated. 316) 0.87 L to dekaliters A) 8.7 dal
1 22 ft. Approximate the distance around the pool. Use 6 7
65 ft 126
C) 4
B) 0.087 dal
C) 0.0087 dal
Perform the indicated operation. 317) 47 m - 1.43 dam (in meters) A) 32.7 m B) 46.857 m Find the volume of the solid. Use
41 ft 42
C) 45.57 m
D) 19
315)
19 ft 21
D) 87 dal
D) 468.57 m
316)
317)
22 for . 7
318)
318)
4 yd
A)
4 cu yd 21
B) 268
Perform the indicated operation. 319) 32 lb 11 oz - 7 lb 7 oz A) 40 lb 2 oz
4 cu yd 21
C) 16
B) 39 lb 2 oz
16 cu yd 21
C) 24 lb 4 oz
D) 33
11 cu yd 21
D) 25 lb 4 oz
Find the perimeter of the figure. 320)
11 mi
8 mi A) 44 mi
319)
320)
11 mi
B) 28 mi
C) 22 mi
47
D) 30 mi
Find the area of the geometric figure. 321)
3 yd
8 yd
321)
13 yd
11 yd B) 12 sq yd
A) 33 sq yd
C) 16.5 sq yd
D) 19.5 sq yd
Convert as indicated. If necessary, round to two decimal places. 322) 93 yards to meters A) 101.37 m B) 85.32 m C) 305.04 m
D) 28.35 m
Solve. 323) The sides of a triangle are 665 ft, 163 ft, and 788 ft. Find its perimeter. A) 3,232 ft B) 1,656 ft C) 1,616 ft
D) 1,453 ft
Perform the indicated operation. 324) 4.5 m + 43 cm (in meters) A) 4.93 m
D) 47.5 m
B) 4,304.5 m
Fill in the blank. 325) A gallon has _________ a liter. A) greater capacity than
C) 8.8 m
B) the same capacity as
C) less capacity than
Solve. 326) Find the area of a rectangle that measures 9 inches by 2 feet. Give the area in square inches and in square feet. 1 1 A) 216 sq in.; 1 sq ft B) 216 sq in.; 1 sq ft 8 2 C) 1
1 sq in.; 216 sq ft 2
D) 264 sq in.; 1
322)
323)
324)
325)
326)
5 sq ft 6
Find the perimeter of the figure. 327) Rectangle
327)
6 cm 8 cm A) 14 cm
B) 24 cm
C) 28 cm
D) 4 cm
Solve. 328) A rubber ice-hockey puck has a 3.2 inch diameter. What is the area of its circular surface? Use 3.14 for . Round to the nearest tenth, if necessary. A) 8.0 sq in. B) 32.2 sq in. C) 4.0 sq in. D) 10.0 sq in.
48
328)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
329) When two lines intersect, four angles are formed. Two of these angles that share a common side are called angles. A) complementary
B) vertical
C) supplementary
D) adjacent
Convert the measurement as indicated. 1 330) gal to fluid ounces 8 A) 16 fl oz
330)
B) 4 fl oz
C) 8 fl oz
D) 2 fl oz
Find the area of the geometric figure. 331)
Square
329)
331)
1.6 cm
A) 2.56 sq cm
B) 6.4 sq cm
C) 3.2 sq cm
D) 5.12 sq cm
Solve. 332) A total of 6 gal 1 qt of oil has been removed from a 48-gallon drum. How much oil still remains in the container? A) 41 gal 7 qt B) 42 gal 3 qt C) 42 gal 1 qt D) 41 gal 3 qt Perform the indicated operation. Simplify the result if possible. 333) 7 yd 2 ft + 13 yd 2 ft A) 20 yd 2 ft B) 21 yd 1 ft C) 21 yd 2 ft
D) 20 yd 1 ft
332)
333)
Find the measure of the angle.
334) FGA A) 170°
B) 185°
C) 190°
49
D) 180°
334)
Solve. Remember to insert units when writing your answer. 335) A store buys 45 kg of rice in bulk. If the rice is divided into 12 packets of equal weight, how many kilograms will be in each packet? A) 3.75 kg B) 37.5 kg C) 2.67 kg D) 0.27 kg Find the area of the geometric figure. 336)
335)
336)
r = 8 yd
Use
22 for . 7
A) 50
2 sq yd 7
B) 25
1 sq yd 7
C) 201
1 sq yd 7
D) 402
2 sq yd 7
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
337) An angle that measures 180° is called a(n) A) straight
volume ray gram obtuse
337)
angle.
B) acute
C) obtuse
D) right
Convert the measurement as indicated. in. 338) 1 ft 5 in. = A) 16 in. Convert as indicated. 339) 74.66 m to millimeters A) 7,466 mm
338)
B) 61 in.
C) 17 in.
D) 6 in.
B) 0.0747 mm
C) 74,660 mm
D) 0.747 mm
50
339)
Find the volume of the solid. Use
22 for . 7
340)
340) 6m
3m Use
22 for . 7
A) 169
5 cu m 7
B) 9
3 cu m 7
C) 56
4 cu m 7
D) 37
5 cu m 7
Solve. 341) If fencing costs $6 per foot, find the total cost for fencing a rectangular garden 37 ft by 16 ft. A) $636 B) $318 C) $1,272 D) $3,552 342) Find the surface area of a rectangular box 2 feet by 3 feet by 5 feet. A) 47 sq ft B) 54 sq ft C) 31 sq ft
D) 62 sq ft
Convert the measurement as indicated. 1 343) 5 gal to quarts 4 A) 10 qt
344) Find the volume of a cube with edges of 4 A) 18
342)
343)
B) 42 qt
Solve.
341)
C) 21 qt
D) 20 qt
1 inches. 3
7 cu in. 9
344) B) 8
2 cu in. 3
D) 81
C) 13 cu in.
2.814749767e+15 cu in. 7.599824371e+15
Perform the indicated operation. 345) 61.1 mm - 1.93 cm (in centimeters) A) 41.8 cm B) 609.07 cm
C) 4.18 cm
D) 59.17 cm
346) 54 km - 2,329 m (in kilometers) A) 51.671 km B) 3,071 km
C) 30.71 km
D) 51,671 km
51
345)
346)
Find the exact or approximate circumference of the circle, as indicated. 3.14. 347) Find the approximate circumference. Use
347)
20 yd
A) 1,256 yd
B) 62.8 yd
C) 31.4 yd
D) 125.6 yd
Solve. Remember to insert units when writing your answer. 348) The height of the highest mountain that Jen has climbed is 5.847 km. This year, she will attempt to climb a mountain that is 54 m higher. What is the height of the mountain that she will attempt to climb this year? Give your answer in kilometers. A) 6.387 km B) 5.901 km C) 5.8524 km D) 5.793 km Solve. 349) A circular fountain has a radius of 51 ft. Approximate the distance around the fountain. Use 3.14 for . A) 320.28 ft B) 8,167.14 ft C) 160.14 ft D) 80.07 ft Perform the indicated operation. 350) 1,500 ml + 1.4 L (in liters) A) 16.4 L
B) 2,900 L
C) 2.9 L
D) 141.5 L
Convert as indicated. 351) 786 cm to meters A) 78.6 m
B) 7.86 m
C) 7,860 m
D) 78,600 m
Convert as indicated. If necessary, round to the nearest tenth of a degree. 352) Sam is running a fever of 99.2°F. Find this temperature as it would be shown on a Celsius thermometer. A) 37.3°C B) 210.6°C C) 146.6°C D) 72.9°C Solve. 353) If 2 ft 11 in. of material is used to manufacture one scarf, how much material is needed for 9 scarves? A) 22 ft 7 in. B) 18 ft 11 in. C) 26 ft 3 in. D) 31 ft 5 in. Provide an appropriate response. 354) Find the supplement of a 37° angle. A) 143° B) 233°
C) 53°
D) 323°
Perform the indicated operation. 355) 0.33 mg ÷ 6 A) 1.82 mg
C) 5.5 mg
D) 18.18 mg
B) 0.055 mg
52
348)
349)
350)
351)
352)
353)
354)
355)
Solve. Remember to insert units when writing your answer. 356) A carton of markers weighs 44 lb 1 oz. Of this, 3 lb 11 oz is due to packaging. Find the weight of the markers in 13 cartons. A) 524 lb 14 oz B) 522 lb 2 oz C) 573 lb 1 oz D) 572 lb 13 oz Convert the measurement as indicated. gal qt 357) 27 pt = A) 6 gal 1 qt 1 pt 358)
357)
pt
B) 3 gal 1 qt 1 pt
C) 3 gal 3 pt
D) 3 gal 2 qt 1 pt
1 pint to quarts 5
A)
4 qt 5
356)
358) B)
1 qt 10
C)
2 qt 5
D)
1 qt 20
Find the measure of the angle.
359) EGC A) 90° 360) AGB A) 45° Perform the indicated operation. 361) 5 qt 1 pt + 8 qt 1 pt A) 3 gal 1 qt
B) 60°
C) 50°
B) 40°
C) 35°
D) 15°
B) 2 gal 2 qt
C) 4 gal
D) 3 gal 2 qt
Convert the measurement as indicated. 362) 147 in. to feet (Write your answer as a decimal.) A) 0.75 ft B) 1,764 ft Convert as indicated. 363) 34,000 lb to tons 1 A) 17 tons 2
D) 70°
359)
360)
361)
362) C) 12.25 ft
D) 441 ft
363) B) 17 tons
C) 16 tons
53
D) 18 tons
Find the area of the geometric figure. 364)
364)
d = 41 in.
Use
22 for . 7
A) 1320
11 sq in. 14
B) 5283
1 sq in. 7
C) 128
6 sq in. 7
D) 257
5 sq in. 7
Solve. Remember to insert units when writing your answer. 365) The two sticks used to make a kite have lengths of 0.8 m and 60 cm. What total length of wood must be ordered for the sticks if 28 kites are to be built? A) 60.8 m B) 1.4 m C) 16,822.4 m D) 39.2 m Perform the indicated operation. 366) 7.97 g + 184 mg (in g) A) 8.154 g
B) 8.154 mg
C) 981 mg
D) 8,154 g
365)
366)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
367) To convert from one unit to another, A) mass
volume ray gram obtuse
367)
may be used.
B) transversal
C) unit fractions
Convert as indicated. If necessary, round to two decimal places. 368) 13 liters to quarts A) 49.27 qt B) 12.35 qt C) 13.78 qt
D) volume
D) 3.38 qt
368)
Find the measure of the angle.
369) VZY A) 135°
B) 145°
C) 155° 54
D) 140°
369)
Perform the indicated operation. 370) 28 lb 14 oz - 5 lb 4 oz A) 22 lb 10 oz
B) 23 lb 10 oz
C) 33 lb 2 oz
D) 34 lb 2 oz
Solve. 371) The discus is thrown from a circular region 8 feet 4 inches in diameter. What is the area of the circle (in square inches)? Use 3.14 for . Round to the nearest tenth, if necessary. A) 31,400.0 sq in. B) 7,850.0 sq in. C) 3,925.0 sq in. D) 314.0 sq in. Identify the figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points. 372)
370)
371)
372)
C A
A) angle; CA
B) line segment; CA
C) line; CA
D) ray; CA
Find the volume of the solid. 373)
373)
3 cm 2 cm
9 cm
A) 6 cu cm
B) 54 cu cm
C) 162 cu cm
D) 14 cu cm
Classify the angle as acute, right, obtuse, or straight. 374)
374)
B
A) Straight
B) Obtuse
C) Acute
55
D) Right
Find the measure of the indicated angle. The figure is not drawn to scale. 375) Find the measure of h. (m n)
375)
31°
A) 149°
B) 159°
C) 59°
D) 121°
Convert as indicated. 376) 278.5 mm to decimeters A) 0.2785 dm
B) 27,850 dm
C) 27.85 dm
D) 2.785 dm
Convert. 377) 114 in. =
in.
ft
A) 9 ft 6 in.
376)
377)
B) 9 ft 11 in.
C) 6 ft 9 in.
D) 8 ft 18 in.
Find the unknown diameter or radius as indicated. 378)
378)
r=?
d = 14 m
A) 7 m Perform the indicated operation. 379) 10 kg - 1,712 g (in kg) A) -712 g
B) 14 m
C) 28 m
B) 8.288 kg
C) 8.288 g
D) 7 m
D) 8,288 kg
Solve. Remember to insert units when writing your answer. 380) One box of pudding mix weighs 2.235 kilograms, but 80 grams of this weight is the packaging. Find the actual weight (excluding packaging) of the pudding mix in 9 boxes. A) 20.115 kg B) 2.155 kg C) 19.395 kg D) 12.915 kg
56
379)
380)
Find the perimeter of the figure. 381) 3 in. 4 in. 9 in.
381)
6 in. 7 in. A) 20 in.
B) 23 in.
C) 29 in.
D) 22 in.
Find the indicated angle. 382) Find the complement of 84°. A) 6° B) 276°
C) 186°
D) 96°
Solve. 383) Find the volume of a rectangular block of wood 7 inches by 2 A) 26
1 cu in. 4
Convert as indicated. 384) 0.06 m to centimeters A) 0.0006 cm
B) 3
1 cu in. 2
C) 8
B) 6 cm
Convert. Round to the nearest tenth of a degree, if necessary. 385) 21.7°C to degrees Fahrenheit A) 7.1°F B) 71.1°F
1 1 inches by 1 inches. 2 2
3 cu in. 4
D) 3
383) 3 cu in. 4
C) 0.006 cm
D) 0.6 cm
C) -19.9°F
D) 44.1°F
Convert as indicated. If necessary, round to the nearest tenth of a degree. 386) In a European cookbook, a recipe requires a mixture for candy to be heated to 136°C, but the cook only has access to a Fahrenheit thermometer. Find the temperature in degrees Fahrenheit that should be used for making this candy. A) 302.4°F B) 282°F C) 276.8°F D) 93.3°F Convert as indicated. If necessary, round to two decimal places. 387) 8.3 gallons to liters A) 7.89 L B) 8.8 L C) 31.46 L
D) 2.16 L
Perform the indicated operation. 388) 2.8 km + 583 m (in kilometers) A) 583,002.8 km B) 2.8583 km
D) 3.383 km
C) 8.63 km
Solve. 389) Find the perimeter of a square picture frame with a side length of 6.4 inches. A) 12.8 in. B) 25.6 in. C) 40.96 in.
57
382)
D) 19.2 in.
384)
385)
386)
387)
388)
389)
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
390) A line that intersects two or more lines at different points is called a(n) A) ray
B) line segment
Convert as indicated. 391) 310 g to kilograms A) 310,000 kg
C) vertex
B) 0.031 kg
C) 31,000 kg
Solve. Remember to insert units when writing your answer. 392) A recipe calls for 22 fluid ounces of water. How many cups is this? 1 A) 5 c B) 11 c C) 44 c 2
390)
.
D) transversal
D) 0.31 kg
391)
392)
3 D) 2 c 4
Identify the figure as a line, a ray, a line segment, or an angle. Then name the figure using the given points. 393)
393)
E
C
F
A) line; EC
B) ray; CE
C) angle; ECF or FCE or C
D) line segment; CF
Find the volume of the solid. 22 . 394) Use 7
394)
12 ft
17 ft
A) 452
4 cu ft 7
B) 113
1 cu ft 7
C) 1923
3 cu ft 7
D) 7693
5 cu ft 7
Solve. Remember to insert units when writing your answer. 395) A 5.1-m rope is attached to a 2.7-m rope. However, when the ropes are tied, 6 cm of length is lost to form the knot. What is the length of the tied ropes? A) 7.86 m B) 1.8 m C) 7.2 m D) 7.74 m
58
395)
Convert as indicated. If necessary, round to two decimal places. 396) 198 milliliters to fluid ounces A) 750.42 fl oz B) 51.48 fl oz C) 5,854.86 fl oz
D) 6.7 fl oz
396)
Body surface area (BSA) is often used to calculate dosages for some drugs. BSA is calculated in square meters using a person's weight and height. (weight in kg) × (height in cm) BSA = 3600
397) Calculate the BSA for an adult whose height is 75 in. and weight is 168 lb. Round to the nearest hundredth, if necessary. A) 20 sq m B) 2.24 sq m C) 2 sq m D) 6.32 sq m Convert as indicated. If necessary, round to two decimal places. 398) 99 miles to kilometers A) 107.91 km B) 159.39 km C) 61.38 km
D) 251.46 km
Convert the measurement as indicated. 399) 34 fl oz to pints 1 1 A) 8 pt B) 2 pt 2 8
1 C) 4 pt 4
D) 136 pt
Convert. 400) 7.8 tons to pounds A) 1,560 lb
C) 124.8 lb
D) 7,800 lb
B) 15,600 lb
Fill in the blank. 402)
B) 13 gal 1 qt
C) 6 gal 3 qt
D) 6 gal 1 qt
402)
B) A straight
C) A right
D) An obtuse
Find the measure of the indicated angle. The figure is not drawn to scale. 403) Find the measure of x.
403)
42°
A) 42°
400)
401)
angle has a measure of 180°.
A) An acute
398)
399)
Convert the measurement as indicated. gal qt 401) 27 qt = A) 96 gal 3 qt
397)
B) 48°
C) 32°
59
D) 132°
Solve. Remember to insert units when writing your answer. 3 404) A recipe calls for 2 cups of water. How many fluid ounces is this? 4 A) 88 fl oz
404)
B) 11 fl oz
C) 22 fl oz
D) 44 fl oz
Convert the measurement as indicated. 405) 17 yd to feet A) 51 ft B) 612 ft
C) 153 ft
D) 204 ft
Convert as indicated. 3 406) 6 lb to ounces 4 A) 132 oz
406) B) 72 oz
C) 109 oz
D) 108 oz
Solve. 407) Paul is 5 feet 1 inches tall. Convert this height to centimeters. Round to the nearest tenth of a centimeter. A) 154.9 cm B) 24.0 cm C) 200.1 cm D) 153.4 cm Solve. Remember to insert units when writing your answer. 408) Ryan normally weighs 102 kilograms, but he lost 3,100 grams after being sick. Find Ryan's new weight. A) 98.9 kg B) 101.69 kg C) 105.1 kg D) 71 kg Perform the indicated operation. 409) 17 tons 1,500 lb ÷ 5 A) 3 tons 300 lb
B) 3 tons 301 lb
C) 3 tons 1,100 lb
D) 4 tons 300 lb
Solve. Remember to insert units when writing your answer. 410) A hiker started the day with 6 L of water. At the first break, she drank 271 ml. How many liters of water remained? A) 0.5,729 L B) 5.729 L C) 57.29 L D) 3.29 L Convert as indicated. If necessary, round to two decimal places. 411) 33 quarts to liters A) 34.98 L B) 125.07 L C) 8.58 L
D) 31.35 L
Convert as indicated. 412) 0.55 L to kiloliters A) 0.00055 kl
D) 55 kl
413) 143 mg to grams A) 14,300 g
405)
B) 550 kl
C) 0.0055 kl
B) 0.143 g
C) 1.43 g
D) 143,000 g
Convert the measurement as indicated. 414) 2 pt to fluid ounces A) 32 fl oz B) 8 fl oz
C) 16 fl oz
D) 4 fl oz
60
407)
408)
409)
410)
411)
412)
413)
414)
Solve. 415) Find the volume of a sphere with radius 5 A) 95
1 cu in. 14
B) 697
Convert the measurement as indicated. mi 416) 18,357 ft = A) 4 mi 2,517 ft Perform the indicated operation. 417) 79.1 L ÷ 0.5 A) 15.82 L
1 22 inches. Use for . 2 7
4 cu in. 21
C) 47
15 cu in. 28
415) D) 2091
4 cu in. 7
416)
ft
B) 3 mi 2,417 ft
C) 2 mi 2,617 ft
D) 3 mi 2,517 ft
B) 1,582 L
C) 39.55 L
D) 158.2 L
417)
Solve. Remember to insert units when writing your answer. 418) A bag of chips weighs 291 grams. If each bag contains 6 servings, find the weight of 1 serving. A) 48.5 g B) 58.5 g C) 1,746 g D) 59.5 g
418)
Convert as indicated. 419) 0.16 ml to centiliters A) 0.0016 cl
419)
B) 16 cl
C) 0.016 cl
D) 1.6 cl
Classify the angle as acute, right, obtuse, or straight. 420)
A) Obtuse
C
420)
B) Acute
C) Straight
D) Right
Solve. 421) A redwood tree is 67.3 meters tall. Convert this to feet. Round to the nearest hundredth of a foot. A) 220.74 ft B) 170.94 ft C) 20.52 ft D) 73.36 ft
61
421)
Find the volume of the solid. Use
22 for . 7
422)
422)
r = 5 cm
A) 39
2 cu cm 7
B) 1571
3 cu cm 7
C) 78
4 cu cm 7
D) 523
17 cu cm 21
Find the measure of the indicated angle. The figure is not drawn to scale. 423) Find the measure of y.
423)
114°
A) 76°
B) 66°
C) 24°
D) 204°
Find the unknown diameter or radius as indicated. 424)
r = 1.2 cm
A) 3.768 cm
424)
d=?
B) 2.4 cm
C) 4.52 cm
Convert as indicated. If necessary, round to two decimal places. 425) 17.2 meters to yards A) 15.78 yd B) 56.42 yd C) 5.24 yd
62
D) 0.6 cm
D) 18.75 yd
425)
Convert. 426) 0.89 L to milliliters A) 0.00089 ml
B) 0.0089 ml
C) 890 ml
D) 89 ml
Find the area of the geometric figure. 427) Trapezoid
426)
427)
11 in.
13.9 in.
20 in. A) 152.9 sq in.
B) 278 sq in.
C) 430.9 sq in.
D) 215.45 sq in.
Solve. 428) Find the volume of a rectangular box 9 feet by 5.6 feet by 3 feet. A) 81 cu ft B) 94.08 cu ft C) 453.6 cu ft
D) 151.2 cu ft
Perform the indicated operation. 429) 1 qt 1 pt × 2 A) 2 gal 1 pt
D) 2 gal 2 pt
B) 3 qt
C) 1 gal 2 qt
Solve. Remember to insert units when writing your answer. 430) An automobile has a 74.5-L gas tank. Only 3.8 liters of gasoline still remain in the tank. How much gasoline is needed to fill the tank? A) 71.7 L B) 80.7 L C) 36.5 L D) 70.7 L Perform the indicated operation. Simplify the result if possible. 431) 11 ft 9 in. + 8 ft 6 in. A) 19 ft 3 in. B) 20 ft 3 in. C) 20 ft 5 in. Convert as indicated. 432) 97 oz to
lb
D) 19 ft 6 in.
B) 8 lb 1 oz
C) 9 lb 7 oz
430)
431)
D) 5 lb 17 oz
Find the area of the geometric figure. 433) Trapezoid 5m
433)
6m
8m A) 240 sq m
429)
432)
oz
A) 6 lb 1 oz
428)
B) 39 sq m
C) 120 sq m
63
D) 78 sq m
Convert as indicated. 434) 11,250 lb to tons 1 A) 11 tons 4
1 B) 4 tons 2
1 C) 7 tons 2
5 D) 5 tons 8
Find the perimeter of the figure. 435) Parallelogram
434)
435)
8.6 m 2.9 m
A) 23 m
B) 11.5 m
C) 14.4 m
Convert as indicated. If necessary, round to two decimal places. 436) 50.4 meters to feet A) 46.07 ft B) 15.37 ft C) 165.31 ft Convert as indicated. 437) 12 lb 8 oz to ounces A) 152 oz
B) 200 oz
C) 1,208 oz
D) 20.1 m
D) 54.94 ft
D) 128 oz
Solve. 438) A doctor orders a dosage of 5 ml of medicine every 6 hours for 2 days. How many fluid ounces of medicine should be purchased? Round up to the next whole fluid ounce. A) 10 fl oz B) 7 fl oz C) 9 fl oz D) 8 fl oz Perform the indicated operation. 439) 13 yd 2 ft × 5 A) 68 yd 2 ft
B) 68 yd 1 ft
C) 74 yd 1 ft
D) 16 yd 2 ft
Find the area of the geometric figure. 440) Trapezoid
6.3 in.
5 in.
A) 92.5 sq in. Perform the indicated operation. 441) 4.09 g - 172 mg (in g) A) 3.918 mg
436)
437)
438)
439)
440)
12.2 in.
B) 76.86 sq in.
C) 31.5 sq in.
D) 46.25 sq in.
B) 237 mg
C) 3.918 g
D) 3,918 g
64
441)
Solve. Remember to insert units when writing your answer. 442) A medication comes in two strengths. Regular strength contains 50 mg of medication. Extra strength contains 0.085 g of medication. How much extra medication is in the extra-strength tablet? A) 35 mg B) 49.915 mg C) 41.5 mg D) 800 mg 443) A case of soft drink holds 12 bottles, each of which contains 16 ounces of soft drink. How many quarts are there in one case of the soft drink? A) 24 qt B) 6 qt C) 48 qt D) 12 qt Perform the indicated operation. 444) 390 kl × 8 A) 3,220 kl
B) 3,120 kl
C) 322 kl
D) 31,200 kl
Solve. 445) A real estate agent has a rectangular lot available that measures 80 meters by 30 meters. Find its area in square feet. Round to the nearest hundredth, if necessary. A) 2,400 sq ft B) 216 sq ft C) 25,820.16 sq ft D) 258,201.6 sq ft Convert the measurement as indicated. ft 446) 16 yd 2 ft = A) 18 ft
B) 34 ft
5 lb 112
443)
444)
445)
446) C) 22 ft
D) 50 ft
Convert as indicated. 5 447) oz to pounds 7 A)
442)
447) B) 7
1 lb 7
C)
1 lb 14
D) 11
3 lb 7
Fill in the blank with one of the words or phrases listed below. transversal area angle unit fractions
line segmentstraight acute perimeter line complementary weight meter
448) The A) liter Convert as indicated. 449) 114 oz to pounds 1 A) 7 lb 8
adjacent right vertical supplementary vertex mass liter surface area
volume ray gram obtuse
448)
is the basic unit of capacity in the metric system.
B) perimeter
3 lb B) 7 16
C) gram
D) meter
C) 7 lb
2 D) 11 lb 5
Solve. 450) Find the volume of a rectangular box 4 inches by 7 inches by 9 inches. A) 144 cu in. B) 196 cu in. C) 252 cu in.
65
D) 567 cu in.
449)
450)
Convert as indicated. 451) 6.4 g to kilograms A) 0.0064 kg
B) 6,400 kg
C) 640 kg
D) 0.00064 kg
Convert as indicated. If necessary, round to the nearest tenth of a degree. 452) At a particular business, it is required that the temperature be kept at 72°F, but the thermostat is calibrated in degrees Celsius. Find the temperature to be set. A) 136°C B) 161.6°C C) 23.2°C D) 22.2°C Solve. 453) Find the area of the skating rink. If necessary, use 31 yd
451)
452)
3.14 and round your result to the nearest tenth. 453)
11 yd
A) 1,441.9 sq yd
B) 1,100.9 sq yd
Convert as indicated. 454) 2.68 kg to grams A) 0.0268 g
C) 720.9 sq yd
B) 0.00268 g
C) 2680 g
D) 1,061.9 sq yd
D) 268 g
Find the measure of the indicated angle. The figure is not drawn to scale. 455) Find the measure of x.
454)
455)
53°
A) 47°
B) 143°
Fill in the blank. 456) A liter has __________ a quart. A) the same capacity as
C) 127°
B) greater capacity than
D) 37°
C) less capacity than
Find the area of the geometric figure. 457) Parallelogram
20 m
A) 55 sq m
28 m
456)
457)
27 m
B) 5,600 sq m
C) 560 sq m
66
D) 756 sq m
458) Trapezoid
458)
8 ft
5 ft
A) 55 sq ft
3 ft
B) 32 sq ft
C) 27.5 sq ft
D) 64 sq ft
Perform the indicated operation. 459) 9.8 m × 2 A) 196 m
B) 1.96 m
C) 4.9 m
D) 19.6 m
Convert as indicated. 460) 0.3 m to millimeters A) 30 mm
B) 300 mm
C) 0.0003 mm
D) 3000 mm
Solve. 461) Find the volume of a box in the shape of a cube that is 3.5 feet on each side. A) 10.5 cu ft B) 42.875 cu ft C) 24.5 cu ft
D) 12.25 cu ft
Perform the indicated operation. 462) 5 lb 5 oz × 4 A) 9 lb 4 oz
D) 20 lb 4 oz
B) 20 lb 5 oz
C) 21 lb 4 oz
67
459)
460)
461)
462)
Answer Key Testname: CHAPTER 9 1) A 2) D 3) B 4) B 5) C 6) A 7) A 8) C 9) C 10) D 11) B 12) B 13) D 14) B 15) D 16) D 17) A 18) B 19) B 20) B 21) D 22) C 23) B 24) D 25) C 26) B 27) C 28) A 29) D 30) B 31) B 32) C 33) D 34) B 35) C 36) D 37) C 38) B 39) C 40) D 41) A 42) B 43) A 44) B 45) D 46) C 47) C 48) D 49) C 50) C 68
Answer Key Testname: CHAPTER 9 51) A 52) A 53) B 54) A 55) C 56) A 57) C 58) A 59) D 60) C 61) D 62) C 63) B 64) D 65) B 66) D 67) C 68) A 69) C 70) A 71) A 72) C 73) C 74) C 75) A 76) B 77) C 78) B 79) B 80) C 81) A 82) D 83) D 84) B 85) A 86) D 87) B 88) A 89) D 90) A 91) A 92) C 93) D 94) B 95) B 96) B 97) D 98) A 99) A 100) C 69
Answer Key Testname: CHAPTER 9 101) A 102) C 103) D 104) C 105) C 106) D 107) D 108) B 109) B 110) B 111) C 112) C 113) C 114) B 115) B 116) C 117) A 118) C 119) C 120) A 121) C 122) B 123) B 124) B 125) C 126) B 127) C 128) C 129) A 130) B 131) A 132) A 133) B 134) D 135) A 136) D 137) D 138) A 139) A 140) A 141) C 142) A 143) A 144) D 145) D 146) B 147) D 148) D 149) C 150) C 70
Answer Key Testname: CHAPTER 9 151) A 152) D 153) A 154) C 155) B 156) D 157) C 158) A 159) C 160) A 161) A 162) C 163) A 164) D 165) D 166) D 167) D 168) D 169) B 170) C 171) B 172) B 173) B 174) B 175) D 176) C 177) B 178) C 179) C 180) B 181) B 182) D 183) D 184) B 185) A 186) B 187) B 188) D 189) A 190) A 191) D 192) D 193) A 194) C 195) D 196) D 197) B 198) C 199) D 200) B 71
Answer Key Testname: CHAPTER 9 201) D 202) B 203) B 204) D 205) C 206) B 207) C 208) D 209) B 210) A 211) B 212) C 213) D 214) B 215) C 216) D 217) D 218) B 219) D 220) D 221) C 222) A 223) C 224) D 225) A 226) B 227) A 228) B 229) D 230) B 231) A 232) D 233) A 234) C 235) A 236) A 237) C 238) D 239) D 240) C 241) B 242) B 243) C 244) B 245) B 246) A 247) A 248) D 249) C 250) C 72
Answer Key Testname: CHAPTER 9 251) A 252) D 253) A 254) B 255) D 256) A 257) A 258) D 259) D 260) D 261) C 262) A 263) D 264) A 265) C 266) C 267) A 268) B 269) C 270) C 271) B 272) B 273) D 274) D 275) D 276) C 277) D 278) D 279) B 280) B 281) C 282) A 283) B 284) D 285) C 286) B 287) C 288) A 289) A 290) C 291) C 292) D 293) A 294) A 295) B 296) B 297) C 298) B 299) D 300) B 73
Answer Key Testname: CHAPTER 9 301) B 302) D 303) C 304) C 305) D 306) C 307) A 308) C 309) B 310) D 311) B 312) D 313) B 314) B 315) D 316) C 317) A 318) D 319) D 320) D 321) C 322) B 323) C 324) A 325) A 326) B 327) C 328) A 329) D 330) A 331) A 332) D 333) B 334) D 335) A 336) C 337) A 338) C 339) C 340) C 341) A 342) D 343) C 344) D 345) C 346) A 347) D 348) B 349) C 350) C 74
Answer Key Testname: CHAPTER 9 351) B 352) A 353) C 354) A 355) B 356) A 357) B 358) B 359) B 360) C 361) D 362) C 363) B 364) A 365) D 366) A 367) C 368) C 369) B 370) B 371) B 372) B 373) B 374) C 375) A 376) D 377) A 378) D 379) B 380) C 381) C 382) A 383) A 384) B 385) B 386) C 387) C 388) D 389) B 390) D 391) D 392) D 393) C 394) C 395) D 396) D 397) C 398) B 399) B 400) B 75
Answer Key Testname: CHAPTER 9 401) C 402) B 403) A 404) C 405) A 406) D 407) A 408) A 409) C 410) B 411) D 412) A 413) B 414) A 415) B 416) D 417) D 418) A 419) C 420) C 421) A 422) D 423) B 424) B 425) D 426) C 427) D 428) D 429) B 430) D 431) B 432) A 433) B 434) D 435) A 436) C 437) B 438) A 439) B 440) D 441) C 442) A 443) B 444) B 445) C 446) D 447) A 448) A 449) A 450) C 76
Answer Key Testname: CHAPTER 9 451) A 452) D 453) D 454) C 455) C 456) B 457) C 458) C 459) D 460) B 461) B 462) C
77
Chapter 10 Exam Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Multiply.
1) (-6)5 · (-6)2 A) -3610
B) (-6)7
C) 6 7
D) 367
2) -4x(-6x - 8) A) 56x2
B) -6x2 + 32x
C) 24x2 + 32x
D) 24x2 - 8x
Add the polynomials. 3) (-5 + 7x6 + 3x8 + 8x7 ) + (2x7 + 4x6 - 8 + 3x8 ) A) 6x8 + 10x7 + 11x6 - 13 C) 27x42 - 13
B) -3x8 - 3x7 - 5x6 + 11 D) 6x16 + 10x14 + 11x12 - 13
1)
2)
3)
Fill in the blank with one of the words or phrases listed below. trinomial exponent
monomial factoring
greatest common factor polynomials
binomial FOIL
4) A polynomial with exactly 2 terms is called a(n)
4)
.
A) binomial C) trinomial
B) monomial D) greatest common factor
Multiply.
5) -3z 2 (6z 2 + 6z + 8) A) -18z 4 - 18z 3 - 24z2 C) -18z 4 - 18z - 24
D) 3z 4 + 3z + 5
Find the value of the polynomial for the given replacement value. for x = -3 6) 3x2 - 2x + 59 A) 84
5)
B) -18z 4 - 18z 2 - 24
B) 38
C) 80
D) 92
B) 16a
C) -8a 2
D) -8a
B) 6a
C) 8a 3
6)
Simplify.
7) (-4a)2
A) 16a 2
8) (2a)3
A) 6a 3
7)
8) D) 8a
Multiply.
9) -4ax7 (8ax4 + 9x3 + 11) A) -32a 2 x11 - 36ax10
B) -32a 2 x11 + 9x3 + 11
C) -32ax4 - 36x3 - 44
D) -32a 2 x11 - 36ax10 - 44ax7
1
9)
Use the product rule to simplify. Write the results using exponents. 10) The rectangle below has width 6x6 feet and length 7x7 feet. Find the area as an expression of x.
10)
6x6 feet
7x7 feet
Factor.
A) 13x13 sq ft
B) 13x14 sq ft
C) 42x14 sq ft
D) 42x13 sq ft
11) 5x7 - 20x5 A) 5x5 (x2 - 4)
B) 5x6 (x - 4x)
C) 5(x7 - 4x5)
D) x7 (5x2 - 20)
11)
Fill in the blank with one of the words or phrases listed below. trinomial exponent
monomial factoring
greatest common factor polynomials
12) In 5x3 , the 3 is called a(n)
binomial FOIL
.
12)
A) FOIL C) monomial
B) greatest common factor D) exponent
13) (x - 5)(x2 + 5x + 25) A) x3 - 125
B) x3 + 10x2 + 10x - 125
Multiply.
C) x3 - 10x2 - 10x - 125
13)
D) x3 + 125
Simplify.
14) (y3 )4 · (y9 )7 A) y55
B) y75
C) y112
Add the polynomials. 15) (6x6 + 4x5 - 2x4 + 1) + (8x6 + 8x5 - 7x4 + 3) A) 17x30 + 4 C) 9x6 + 9x5 + 9x4 + 12
Factor.
16) 4x2 + 32x A) 4(x2 + 8x)
D) y150
B) 14x6 + 12x5 - 9x4 + 4 D) 14x12 + 12x10 - 9x8 + 4
14)
15)
16) B) 4x(x + 8)
C) x(4x + 32)
Add the polynomials. 17) (5x7 - 6x6 - 9x) + (6x7 - 7x6 - 5x) A) 11x - 13x7 - 14x6 C) 11x7 - 13x6 - 14x
B) -3x7 - 2x6 - 11x D) -16x14
2
D) 4x(x + 8x)
17)
Multiply.
18) (x2 - 5)(x3 + 5x + 2) A) x5 - 10x3 + 2x2 + 25x - 10 C) x6 - 10x3 + 2x2 - 25x - 10
Find the greatest common factor of the list of terms. 19) 15m 5 , 135m 8 , 225m 6 A) 15m 5
Factor out the GCF. 20) 4x2 + 16x - 20 A) 4x(x + 4 - 5)
18)
B) x5 + 2x2 - 25x - 10 D) x6 + 2x2 + 25x - 10
B) 135m 5
C) 2,025m 3
D) 15m 3
B) 4(x2 + 16x - 20)
C) 4(x2 + 12x - 16)
D) 4(x2 + 4x - 5)
19)
20)
Multiply.
21) (x2 + x + 1)(x2 + x + 6) A) x4 + 2x3 - 7x2 - 5x + 6 C) x4 + x3 + 7x2 + 7x + 6
Add the polynomials. 22) (8y6 - 5y3 - 7y) + (9y6 - 5y3 - 2y) A) 17y - 10y6 - 9y3 C) 17y6 - 10y3 - 9y
Multiply and simplify. 23) (z8 )6 A) z 48
21)
B) x4 + x3 - 6x2 - 7x + 6 D) x4 + 2x3 + 8x2 + 7x + 6
22)
B) -2y10 D) 2y6 + 3y3 - 7y
B) z 14
C) 6z 48
D) 6z 8
23)
Simplify.
24) (58 )6
A) 5 14
B) 5 48
C) 2548
D) 258
25) 2x(10x2 - 3) A) 20x3 - 3
B) 20x2 - 12x
C) 12x3 - 6
D) 20x3 - 6x
26) (3y - 1)(3y + 10) A) 9y2 + 33y - 10
B) 9y2 - 10
C) 6y2 + 9
D) 9y2 + 27y - 10
C) 7
D) 6
C) x5 (1 + 5x2)
5 2 x D) 12x5 1 + 12
24)
Multiply.
Find the greatest common factor of the list. 27) 12 and 84 A) 84 B) 12 Factor.
28) 12x5 + 5x7 A) 12(x5 + 60)
B) x5 (12 + 5x2 )
3
25)
26)
27)
28)
Add the polynomials. 29) (7a - 2) + (2a - 11) A) 9a + 13
B) 9a 2 - 13
C) 9a - 13
D) 14a 2 + 22
29)
Fill in the blank with one of the words or phrases listed below. trinomial exponent
monomial factoring
30)
greatest common factor polynomials
binomial FOIL
30)
is the process of writing an expression as a product.
A) FOIL
B) Trinomial
C) Monomial
Subtract the polynomials. 31) (5x3 - 9x + 5) - (-x3 - 8x2 + 10) A) 6x3 + 8x2 - 9x + -5 C) 6x3 - 8x2 - 9x + 15
D) Factoring
31)
B) 6x3 + 8x2 + 9x + -5 D) 5x3 + 8x2 - 9x + 15
Simplify.
32) (-7x9 y4 z)3 A) 343x12y7 z
B) -343x9 y4 z
C) -343x27y12z 3
D) -21x28y13z 4
32)
Multiply.
33) 8a 3 x4(-3a 4 x7 - 12x6 - 2a) A) -24a 7 x11 - 96a 3 x10 - 16a 4 x4 C) -24a 7 x11 - 96a 3 x10 - 2a
Find the perimeter of the figure. 34) (x + 9) inches
(x + 11) inches
D) -24a 7 x11 - 12x6 - 2a
34) (x2 - 7) inches
(3x2 + x) inches
A) (4x2 + x + 9) in. C) (4x2 + 3x + 22) in.
B) (7x2 + 13) in. D) (4x2 + 3x + 13) in.
Multiply. 35) -11y · 7y
A) -77y2
Simplify. 36) -(-3x + 6) A) -3x + 6
33)
B) -24a 4 x7 - 96x6 - 16a
B) -77y
C) -154y
B) 3x - 6
C) -3x - 6
4
D) -154y2
D) 3x + 6
35)
36)
Find the greatest common factor of the list of terms. 37) z 11, z 6 , z 7 A) z 12
B) z 7
C) z 11
Add the polynomials. 38) Add (-9x2 - 18x + 19) and (3x2 + 6x). A) -6x2 - 12x - 19 C) -6x4 - 12x2 + 19
D) z 6
38)
B) -6x2 - 12x + 19 D) -18x6 + 19
Subtract the polynomials. 1 5 from 3z + . 39) Subtract 3z 9 9 A) -
2 3
B)
37)
39) 2 3
C) 6z +
4 9
D)
4 9
Find the value of the polynomial for the given replacement value.
40) The distance in feet traveled by a free-falling object in t seconds is given by the polynomial 16t2 . Find the distance traveled by an object that falls for 6 seconds. A) 192 ft B) 9,216 ft C) 36 ft D) 576 ft
Multiply. 41) (4x + 8)(x + 3) A) x2 + 20x + 19 42) (y + 6)(y + 6) A) 2y + 36 43) x5 · x10
A) 2x50
44) (b - 6)(b + 4)
Factor.
B) 4x2 + 20x + 24
C) 4x2 + 19x + 24
D) x2 + 24x + 20
B) y2 + 12y + 12
C) y2 + 12y + 36
D) 2y2 + 36
B) x50
C) 2x15
D) x15
A) 2b - 24
B) b2 - 2b - 24
C) 2b2 + 24
D) b2 + 2b + 24
45) (2x - 11)(x - 1) A) 2x2 - 14x + 11
B) 2x2 - 13x + 11
C) x2 + 11x - 13
D) x2 - 13x - 14
46) 27x3 - 9x2 + 12x A) x(27x2 - 9x + 12)
42)
43)
44)
45)
D) 3(9x3 - 3x2 + 4x)
Find the value of the polynomial for the given replacement value. for x = 7 47) x2 A) 49
41)
46)
B) 3x(9x2 - 3x + 4)
C) 3x(9x3 - 3x2 + 4x)
40)
B) 14
C) -49
5
D) 9
47)
Find the greatest common factor of the list of numbers. 48) 6, 14, and 18 A) 2 B) 4 Subtract the polynomials. 49) (3a 2 + 10a + 5) - (-7a 2 - 4) A) 10a 2 + 14a + 5
C) 6
D) 1
B) -4a 2 + 10a + 1
C) 10a 2 + 10a + 9
D) -4a 2 + 14a + 5
B) 27y4 + 3y
C) 27y4 + 9y2
D) 12y4 + 6y2
C) 20y5
D) 16y7
48)
49)
Multiply.
50) 3y(9y3 + 3y) A) 27y3 + 9y
Find the greatest common factor of the list. 51) 20y6 , 16y7 , 12y5 A) 4y6
B) 4y5
50)
51)
Multiply.
52) (-8x6 y)(-3x4 y3 ) A) 24x24y3
B) -24x10y4
C) -24x10y3
D) 24x10y4
Find the greatest common factor of the list of numbers. 53) 8 and 56 A) 7 B) 4
C) 56
D) 8
Subtract the polynomials. 54) (6z - 3) - (-z - 2) A) 6z - 5
B) 5z - 5
C) 7z - 5
D) 7z - 1
B) 24x5 + 2.6
C) 24x5 + 15.6x
D) 39.6x4
Multiply and simplify. 55) 6x(4x4 + 2.6)
A) 24x4 + 2.6x
Find the greatest common factor of the list of terms. 56) x2 y4 , xy6 , x7 y A) x9 y10
Multiply and simplify. 57) (2x3 )4 A) 2x7
Multiply. 58) (3x + 3)(3x - 3) A) 9x2 - 9 59) 7x · 5x7 · x5 A) 12x12
53)
54)
55)
56)
B) x7 y6
C) x2 y4
D) xy
B) 2x12
C) 16x12
D) 16x7
B) 3x2 - 18x - 9
C) 9x2 - 18x - 9
D) 9x2 + 18x - 9
B) 35x13
C) 35x12
D) 13x13
6
52)
57)
58)
59)
Subtract the polynomials. 60) Subtract (13a 2 + 7a - 10) from (5a 2 - a + 2). A) -8a 2 - 6a - 8
Add the polynomials. 61) (4a 2 - 2a + 1) + (4a - 4) A) 4a 2 + 4a + 5
B) 8a 2 + 8a - 12
C) 8a 2 + 6a - 8
B) 4a 2 + 2a - 3
C) 4a 2 + 6a + 3
Multiply and simplify. 62) (a + 3)(a2 - 3a + 9) A) a 3 - 11
B) a 3 + 6a 2 - 18a + 27
C) a 3 + 27
D) a 3 - 6a 2 + 18a + 27
Find the greatest common factor of the list of terms. 63) a 2 , a 5 , a A) a 2
D) -8a 2 - 8a + 12
D) 6a 2 - 3
C) a
D) a 7
Subtract the polynomials. 64) (7a - 3) - (a - 6) A) 6a - 9
B) 6a + 3
C) 7a - 9
D) 7a + 3
Multiply. 65) (2x + 2)(2x + 2) A) 2x2 + 8x + 7
B) 2x2 + 7x + 4
C) 4x2 + 8x + 4
D) 4x2 + 4x + 8
A) 4(4x7 - 7x5 - 5x3 )
B) a 3 - 4a 2 - 2
C) 7a 3 - 10a 2 + 14
Find the greatest common factor of the list of terms. 68) 16x6 , 20x7 , 20x5 A) 16x5
B) 4x6
Subtract the polynomials. 69) Subtract (-4b2 + 4) from (6b2 + 6b - 2). A) 2b2 + 2b - 2
64)
65)
D) 4x3 (4x4 + 7x2 + 5)
Subtract the polynomials. 67) Subtract (-a 3 - 10a 2 - 8) from (6a 2 + 6). A) a 3 + 16a2 + 14
63)
66)
B) x3 (16x4 - 28x2 - 20)
C) 4x3 (4x4 - 7x2 - 5)
61)
62)
B) a 5
Factor out the GCF. 66) 16x7 - 28x5 - 20x3
60)
B) 10b2 + 6b - 6
7
D) 7a 3 - 4a 2 + 8
C) 20x7
D) 4x5
C) 10b2 + 2b - 2
D) 2b2 + 6b + 2
67)
68)
69)
70) (3x4 - 6x3 + 2x2 + 7) - (5x4 - 3x3 - 7x2 - 5) A) 8x4 - 9x3 - 5x2 + 12 C) -2x4 - 3x3 + 9x2 + 12
Add the polynomials. 71) (7.1x4 + 3) + (6.8x4 + 2x3 - 4) A) 13.9x4 + 2x3 - 1
B) 13.9x4 + 2x3 + 1
Find the greatest common factor of the list of terms. 72) x8 y3 , x6 y4 , x8 y8 A) x22y15
70)
B) 8x4 - 9x3 - 5x2 + 2 D) -2x4 - 9x3 - 5x2 + 2
B) x8 y8
Add the polynomials. 73) (6x2 - 3x + 4) + (2x2 - 3x - 1)
C) 15.9x7 - 1
D) 13.9x8 + 2x3 - 1
C) x14y4
D) x6 y3
A) 8x2 - 3x + 3
B) 8x2 - 6x + 3
C) 12x2 - 3x + 3
D) 8x4 - 6x2 + 3
74) (-4x7 y4 z)2 A) -16x14y8 z 2
B) 16x14y8z 2
C) 8x14y8 z 2
D) -4x9 y6 z
75) (2xy)4 (5x6 y7 )3 A) 2,000x13y14
B) 10x22y25
C) 10x7 y25
D) 2,000x22y25
Subtract the polynomials. 76) (3.2y - 8) - (8.6y - 11) A) -54y + 3
B) 11.8y - 19
C) 5.4y - 3
D) -5.4y + 3
C) 6y(3y - 1)
D) 6(3y2 + y)
71)
72)
73)
Simplify.
Factor out the GCF. 77) 18y2 - 6y A) y(18y - 6)
B) 6(3y2 - y)
74)
75)
76)
77)
Multiply.
78) (x + 1)(x2 - x + 1) A) x3 + 1
78)
B) x3 - 2x2 - 2x - 1
C) x3 - 1
D) x3 + 2x2 + 2x + 1
79) (9z + 8)2 A) 9z 2 + 144z + 64
79)
B) 81z 2 + 64
C) 9z 2 + 64
D) 81z 2 + 144z + 64
Find the value of the polynomial for the given replacement value. 10x2 -1 for x = 5 80) 9 A) 10
1 9
B) 27
2 3
C) 11
8
80) D) 26
7 9
Multiply.
81) x4 · x2 · x5 A) x6
B) x7
C) x11
D) x13
B) -20x9
C) -80x9
D) -80x8
B) 6a 2 - 60a + 25
C) 36a 2 + 25
D) 6a 2 + 25
81)
Simplify.
82) (-5x)(4x4 )2 A) -80x6
82)
Multiply.
83) (6a - 5)2
A) 36a 2 - 60a + 25
84) (x + 14)2
Find the greatest common factor of the list of terms. 85) 40x4 , 20x6 A) 30x4
Factor.
86) 16x7 - 12x4 A) x4 (16x3 -12)
84)
B) 196x2 + 28x + 196 D) x2 + 196
A) x + 196 C) x2 + 28x + 196
83)
B) 10x2
C) 20x4
D) 40x4
B) 4x4 (4x3 - 3)
C) 4x3 (4x4 - 3x)
D) 4(4x7 - 3x4 )
85)
86)
Multiply.
87) (6x2 - x + 1)(3x2 + x - 8) A) 18x4 + 3x3 + 50x2 - 7x + 8
B) 18x4 + 3x3 - 46x2 + 9x - 8 D) 18x4 + 3x3 + 51x2 + 8x + 8
C) 18x4 + 9x3 + 50x2 + 9x + 8
Add or subtract as indicated. 88) (9y + 4) + (6y + 8) A) 54y2 + 32
88)
B) 15y2 + 12
C) 15y - 12
D) 15y + 12
Find the value of the polynomial for the given replacement value. 89) A manufacturer determined that the total cost for manufacturing x items was 4,000 + 15x. Find the total cost to manufacture 89 items. A) $5,335 B) $1,335 C) $4,089 D) $357,335 Factor.
90) x9 + 11x5 A) x5 (x4 + 11x)
Multiply. 91) 11(-2x - 8) A) -22x - 88
87)
B) x5 (x4 + 11)
C) x4 (x5 + 11)
D) 11x5 (x4 + 1)
B) -110x
C) -2x - 88
D) -22x - 8
9
89)
90)
91)
92) 6x2 (5x + 12) A) 102x2
B) 30x + 72
C) 30x3 + 72x2
B) 3y(y + 8)
C) 3(y2 + 8y)
D) 3y(y + 8y)
B) -3a 9
C) 10a 10 - 13a 8
D) -3a 18
C) 11
D) 5
B) 12x15y37
C) 5,184x53y37
D) 5,184x22y17
B) 1612
C) 4 7
D) 167
C) -z - 4
D) 13z - 16
C) y22
D) y121
Factor out the GCF. 93) 3y2 + 24y A) y(3y + 24) Add the polynomials. 94) (2a 5 - 4a 4) + (8a 5 - 9a 4 ) A) 10a 5 - 13a 4
Find the greatest common factor of the list of numbers. 95) 19, 103, and 127 A) 3 B) 1
D) 30x3 + 12
92)
93)
94)
95)
Simplify.
96) (4x7 y3 )3 (3x8 y7 )4 A) 12x53y37
96)
Multiply.
97) 4 4 · 4 3
A) 4 12
Subtract the polynomials. 98) Subtract (7z - 6) from (6z - 10). A) -z - 16 B) z + 4 Multiply and simplify. 99) y11 · y11 A) 2y22
B) 2y121
97)
98)
99)
Multiply.
100) 7ax7 (-8ax4 - 6x3 )
B) -56a 2 x11 - 6x3
A) -56ax - 42x C) -56a 2 x11 - 42ax10
100)
D) -56a 2 x11 - 42x10
Multiply and simplify. 101) (6x + 11)2
A) 6x2 + 121 C) 6x2 + 132x + 121
B) 36x2 + 121 D) 36x2 + 132x + 121
10
101)
Fill in the blank with one of the words or phrases listed below. trinomial exponent
monomial factoring
102) The
greatest common factor polynomials
binomial FOIL
102)
method may be used when multiplying binomials.
A) exponent C) FOIL
B) greatest common factor D) factoring
Find the value of the polynomial for the given replacement value. for x = -3 103) 3 - x3 - x2 A) -33
B) 21
C) -93
Multiply. 104) 9r · 2r · 8r
A) 432r3
D) 39
B) 144r
C) 144r3
D) 144r2
B) -8x2 - 8x - 9
C) -8x2 + 8x - 9
D) 8x2 + 8x - 9
B) -18p13
C) 18p13
D) -18p42
103)
104)
Simplify.
105) -(8x2 - 8x + 9) A) 8x2 - 8x + 9
105)
Multiply.
106) (9p7 )· (2p6 ) A) 18p42
Provide an appropriate response. 107) Find the area and the perimeter of the parallelogram. (Hint: A = b · h.)
5x in.
B) perimeter: (15x - 21) in. area: (2x2 + 7x - 49) sq in.
C) perimeter: (7x - 7) in. area: (2x2 - 49) sq in.
D) perimeter: (14x - 14) in. area: (5x2 + 35x) sq in.
B) 9x2 + 18x - 9
C) 9x2 - 9
D) 9x2 - 18x - 9
B) -33
C) -13
D) 19
B) -90x7 - 80
C) -170x5
D) -90x12 - 8
Provide an appropriate response. 109) Find the value of 4x2 + 5x - 7 when x = -2. A) -1
107)
(x + 7) in.
(2x - 7) in. A) perimeter: (14x - 14) in. area: (2x2 + 7x - 49) sq in.
Multiply. 108) (3x + 3)(3x - 3) A) 3x2 - 18x - 9
106)
108)
109)
Multiply.
110) 10x5 (-9x7 - 8) A) -90x12 - 80x5
11
110)
Simplify.
111) (-2pqr)5 A) -32pqr
C) -10p5q5 r5
B) -10pqr
D) -32p5q5 r5
111)
Factor.
112) 8x2 + 2x
A) 2(4x2 - x)
Multiply and simplify. 113) (z2 )10(z 7 )8 A) 2z 76
B) x(8x + 2)
C) 2x(4x + 1)
D) 2(4x2 + x)
B) z 1,120
C) z 76
D) z 27
Find the greatest common factor of the list of numbers. 114) 8, 20, 24, and 28 A) 4 B) 8
C) 2
D) 1
112)
113)
114)
Find the area of the shaded figure. To do so, subtract the area of the smaller square from the area of the larger geometric figure. 115) 115) (4x + 7) meters
7x meters
(4x - 7) meters
A) (-33x2 - 49) sq m C) (-752x2 - 98) sq m
B) (65x2 - 49) sq m D) (-768x2 - 49) sq m
Multiply.
116) -7x3 (8x7 - 6x5 ) A) -56x10 - 6x5 117) (y - 9)(y + 1) A) 2y2 + 9 118) (6y + 7)(2y + 7) A) 12y2 + 56y + 49 119) y -
B) -14x10 - 14x8
C) -56x10 + 42x8
B) y2 + 8y + 9
C) 2y - 9
B) 12y2 + 28y + 49
C) 8y2 + 14
D) -14x3
D) y2 - 8y - 9
D) 12y2 + 49
3 2 4
9 A) y2 + 16
116)
117)
118)
119) 3 9 B) y2 - y + 2 16
3 9 C) y2 - y + 4 16
12
3 3 D) y2 - y 4 2
Subtract the polynomials. 120) (4a 2 - a + 5) - (15a 2 + 5a - 11) A) 11a 2 + 6a - 16
B) -11a 2 - 6a + 16
C) -11a 2 - 4a - 6
D) 11a 2 + 4a - 6
120)
Fill in the blank with one of the words or phrases listed below. trinomial exponent
monomial factoring
greatest common factor polynomials
binomial FOIL
121) A polynomial with exactly 1 term is called a(n)
B) trinomial D) binomial
Find the value of the polynomial for the given replacement value. 122) 6x + 8 for x = -3 A) 10 B) -10 C) 26 Multiply and simplify. 123) (-6a 9 )(7a 7 ) A) 42a 63
121)
.
A) greatest common factor C) monomial
B) -42a 63
D) -26
C) -42a 16
D) 42a 16
B) -4(4 - 3x + x2 )
C) -4x(4 - 3+ x)
D) -4(4 + 3x + x2 )
B) 2x - 3
C) -2x + 3
D) 2x + 3
B) 10m 3
C) 400m 6
D) 40m 3
Multiply and simplify. 127) (y - 10)(y + 8) A) y2 + 2y + 80
B) 2y2 + 80
C) y2 - 2y - 80
D) 2y - 80
Multiply. 128) (4x - 8)(4x - 8) A) 16x2 - 64x + 64
B) 16x2 + 64x - 64
C) 4x2 - 64x - 65
D) 4x2 - 65x + 64
B) 9x3 - 4x2 - 11
C) x3 + 4x2 + 9
D) x3 + 12x2 - 11
122)
123)
Factor.
124) -16 + 12x - 4x2
A) -4(4 + 3x - x2 )
Simplify. 125) -(2x - 3) A) -2x - 3
Find the greatest common factor of the list of terms. 126) 10m 3 , 40m 9 A) 10m 6
Subtract the polynomials. 129) (8x2 - 1) - (-x3 - 4x2 + 10) A) 9x3 - 5x2 - 10
13
124)
125)
126)
127)
128)
129)
Multiply.
130) (4x - 1)(x2 - 2x + 1) A) 4x3 + 9x2 - 6x + 1 C) 4x3 - 8x2 + 4x + 1
Add or subtract as indicated. 131) (10x - 3) - (3x - 2) A) 7x - 5
130)
B) 4x3 - 9x2 + 6x - 1 D) 4x3 - 7x2 + 2x - 1
B) 13x - 1
C) 13x - 5
D) 7x - 1
131)
Fill in the blank with one of the words or phrases listed below. trinomial exponent
monomial factoring
132) The
greatest common factor polynomials
binomial FOIL
132)
of a list of terms is the product of all common factors.
A) factoring C) greatest common factor
B) exponent D) binomial
Find the value of the polynomial for the given replacement value. for x = -2 133) x3 + 3x2 - 3x A) -2
B) 10
C) 22
D) 26
133)
Multiply.
134) (y - 15)2 A) y + 225 C) y2 + 225
Find the value of the polynomial for the given replacement value. for x = -1 135) x2 + 4x - 6 A) -1
134)
B) 225y2 - 30y + 225 D) y2 - 30y + 225
B) 3
C) -9
Add or subtract as indicated. 136) (5.7y2 + 7y) + (2.7y2 - 9y - 4) A) 15.39y2 - 63y - 4 C) 8.4y4 - 2y2 - 4
D) -11
B) 8.4y2 - 2y - 4 D) 8.4y2 - 6y
Find the area of the figure. 137)
135)
136)
137) (x - 7) centimeters
(x2 + 2x + 4) centimeters
A) (x3 - 7x2 + 2x2 - 10x - 28) sq cm C) (2x2 + 6x - 33) sq cm
B) (x3 + 2x2 + 4x - 28) sq cm D) (x3 + 2x2 + 4x - 7) sq cm
14
Fill in the blank with one of the words or phrases listed below. trinomial exponent
monomial factoring
greatest common factor polynomials
binomial FOIL
138) Monomials, binomials, and trinomials are all examples of A) polynomials C) greatest common factor
138)
.
B) factoring D) FOIL
Find the unknown length by subtracting. 139) (4x2 - 6x + 7) units
(3x2 + 6) units A) (x2 - 6x + 4) units
139)
? units
B) (x2 - 6x + 7) units D) (3x2 + 6) units
C) (x2 - 6x + 1) units
Simplify.
140) (x5 y)3
A) x8 y4
B) x15y3
C) x8 y
Add the polynomials. 141) (3x9 + 8x8 - 8x7 - 9) + (3x9 + 7x8 - 7x7 - 8) A) -2x9 - 2x8 - 5x7 + 11
140)
D) x15y
141)
B) 6x9 + 15x8 - 15x7 - 17
C) 6x18 + 15x16 - 15x14 - 17
D) 6x48 - 17
Simplify.
142) (x6 )8 (x2)5 A) x98
Multiply. 143) (z - 9)(z - 7) A) z 2 + 16z - 63 144) x +
142)
B) x52
C) x116
D) x58
B) z 2 - 16z + 63
C) 2z 2 - 63
D) 2z + 63
143)
2 2 x+ 5 5
A) x2 +
2 5
144) B) x2 +
2 4 x+ 5 25
C) x2 +
Find the greatest common factor of the list of numbers. 145) 44 and 405 A) 6 B) 55
C) 22
15
4 25
D) x2 +
D) 1
4 4 x+ 5 25
145)
Simplify.
146) (6x)(6x6)4 A) 36x25
Add the polynomials. 147) (-4x2 + 8x) + (10x2 - 4x - 7) A) 10x6 - 7
B) 7,776x24
C) 7,776x25
D) 7,776x10
B) 6x4 + 4x2 - 7
C) 6x2 + 4x + 7
D) 6x2 + 4x - 7
Find the value of the polynomial for the given replacement value. 148) An object is dropped from a height of 1,746 feet. The height of the object after t seconds is given by the polynomial 1,746 - 16t2 . Use this polynomial to determine how far above the ground an object is that has been falling for 5 seconds? A) 1,666 ft B) 1,721 ft
Add the polynomials. 149) (9x - 1.1) + (-6x + 2) A) 3x2 + 0.9
C) 1,586 ft
A) -5x2 + 7x - 6
148)
149) D) 3x + 0.9
B) 15x2 + 9x - 4
C) -5x2 + 9x - 8
D) 15x2 + 7x - 6
B) -12x6 y6
C) 64x6 y6
D) 64xy
B) x3 (17x + x8 )
C) x3 (17 + x8 )
D) 17x3 (1 + x8 )
B) x13
C) 6x42
D) 6x7
B) 12a 14b16
C) 96a 40b48
D) 1,296a 14b16
Add or subtract as indicated. 150) Subtract (10x2 + 2) from (5x2 + 9x - 6).
147)
D) 1,346 ft
C) -54x2 - 220
B) 3x - 9
146)
150)
Simplify.
151) (-2xy)6 A) -12xy
151)
Factor.
152) 17x3 + x11 A) x8 (17 + x3 )
152)
Simplify.
153) (x7 )6
A) x42
Multiply and simplify. 154) (3ab)4 (4a 5 b6 )2 A) 48a 10b12
153)
154)
Fill in the blank with one of the words or phrases listed below. trinomial exponent
monomial factoring
greatest common factor polynomials
155) A polynomial with exactly 3 terms is called a(n)
binomial FOIL
.
A) trinomial C) binomial
B) monomial D) greatest common factor
16
155)
Multiply. 156) (x + 7)(x + 10) A) 2x + 70
B) x2 + 17x + 70
C) 2x2 + 70
Multiply and simplify. 157) -2y(y5 + 5y4 + 6)
A) -2y6 - 10y5 - 12y C) -2y6 - 10y4 - 12
Multiply. 158) y +
D) x2 + 17x + 17
157)
B) -2y6 + 5y5 + 6y D) -2y6 + 5y4 + 6
3 9 y+ 10 10
A) y2 +
3 5
159) (y - 10)(y - 3) A) y2 - 13y + 30
156)
158) B) y2 +
27 100
C) y2 +
3 27 y+ 5 100
D) y2 +
6 27 y+ 5 100
B) 2y2 - 30
C) 2y + 30
D) y2 + 13y - 30
B) x5 (x9 - 12)
C) 12x5 (x9 - 1)
D) x9 (x5 - 12)
159)
Factor.
160) x14 - 12x5 A) x5 (x9 - 12x)
160)
Multiply.
161) -5z(-6z 2 - 4z + 2) A) 30z 3 + 20z 2 - 10z
B) 30z 3 - 4z + 2 D) 30z 2 + 20z - 10
C) 30z 3 + 20z 2 - 10
162) y · y12
A) y13
B) y12
C) 2y13
163) -4x4 (10x7 + 12x5 + 8) A) -40x7 - 48x5 - 32
D) 2y12
162)
163)
B) -40x11 + 12x5 + 8
C) -40x11 - 48x9 - 32x4
164) (-6)3 · (-6)9 A) 3612
161)
D) -40x11 - 48x9
B) 3627
C) (-6)12
165) (x - 1)(x2 + x + 1) A) x3 + 2x2 + 2x + 1
B) x3 + 1
C) x3 - 2x2 - 2x - 1
D) -6 12
164)
165)
D) x3 - 1
166) (a - 5)(a2 + 5a - 1) A) a 3 + 24a - 5
B) a 3 + 10a2 + 26a - 5
C) a 3 - 26a + 5
D) a 3 - 10a2 - 26a + 5
17
166)
Simplify.
167) -(-8x2 - 8x - 6) A) -8x2 + 8x + 6
B) 8x2 - 8x - 6
C) 8x2 + 8x - 6
18
D) 8x2 + 8x + 6
167)
Answer Key Testname: CHAPTER 10 1) B 2) C 3) A 4) A 5) A 6) D 7) A 8) C 9) D 10) D 11) A 12) D 13) A 14) B 15) B 16) B 17) C 18) B 19) A 20) D 21) D 22) C 23) A 24) B 25) D 26) D 27) B 28) B 29) C 30) D 31) A 32) C 33) A 34) D 35) A 36) B 37) D 38) B 39) B 40) D 41) B 42) C 43) D 44) B 45) B 46) B 47) A 48) A 49) C 50) C 19
Answer Key Testname: CHAPTER 10 51) B 52) D 53) D 54) D 55) C 56) D 57) C 58) A 59) B 60) D 61) B 62) C 63) C 64) B 65) C 66) C 67) A 68) D 69) B 70) C 71) A 72) D 73) B 74) B 75) D 76) D 77) C 78) A 79) D 80) D 81) C 82) C 83) A 84) C 85) C 86) B 87) B 88) D 89) A 90) B 91) A 92) C 93) B 94) A 95) B 96) C 97) C 98) C 99) C 100) C 20
Answer Key Testname: CHAPTER 10 101) D 102) C 103) B 104) C 105) C 106) C 107) A 108) C 109) A 110) A 111) D 112) C 113) C 114) A 115) A 116) C 117) D 118) A 119) B 120) B 121) C 122) B 123) C 124) B 125) C 126) B 127) C 128) A 129) D 130) B 131) D 132) C 133) B 134) D 135) C 136) B 137) A 138) A 139) C 140) B 141) B 142) D 143) B 144) D 145) D 146) C 147) D 148) D 149) D 150) C 21
Answer Key Testname: CHAPTER 10 151) C 152) C 153) A 154) D 155) A 156) B 157) A 158) D 159) A 160) B 161) A 162) A 163) C 164) C 165) D 166) C 167) D
22