CST Review - Key Standards

Page 1

CST Review Key Standards AF 1.3, 3.3, 2.4, 4.1, 4.2 MG 1.3, 3.3, 3.4, 3.6 NS 1.2, 1.4, 1.5, 1.7, 2.2, 2.3, 2.5 SDAP 1.3


AF 1.3 CST Practice Multiple Choice

Identify the choice that best completes the statement or answers the question. 1 Which property is used in the equation 4 Which property is used in the equation below?

below?

x · (y · z) = (x · y) · z 13(z + 5) = 13z + 65

A B C D 2

A

Associative Property of Addition

B

Commutative Property of Addition Distributive Property

C D

Inverse Property of Addition

Which property is demonstrated in the following equation?

5

Associative Property of Multiplication Commutative Property of Multiplication Distributive Property Inverse Property of Multiplication

Which property is used in the equation below?

x

=1

x + (y + z) = x + (z + y)

A B C D 3

A

Associative Property of Addition Commutative Property of Addition

B

Distributive Property

C D

Inverse Property of Addition

Which of the following expressions is equivalent to 5x + 75? A x + 75

B 5(x + 75) C x + 15 D 5(x + 15)

6

Associative Property of Multiplication Commutative Property of Multiplication Distributive Property Inverse Property of Multiplication

Which property is used in the equation below? x · (y · z) = x · (z · y)

A B C D

Associative Property of Multiplication Commutative Property of Multiplication Distributive Property Inverse Property of Multiplication


7

8

Which operation will change the value of any integer except 0? A add 0

B

multiply by

C D

divide by 1

C D 9

12

Commutative Property of Multiplication Associative Property of Multiplication Distributive Property

A B C D 13

subtracting one

B C D

Associative Property of Addition Commutative Property of Addition Distributive Property

24x3 24x4 18x3 + 2x 20x3

Which of the following expressions is equivalent to (3x + 7) = 5y? A 15xy 8xy + 7 10x + 5y 3x + (7 + 5y)

Inverse Property of Addition Which property is used in the equation below?

Simplify the expression below. -(-7 + 3)

A B C D

adding one

3x2(6x + 2x)

14 10

adding zero

Which is equivalent to the following expression?

Commutative Property of Addition

Which property is used in the equation below? 3x + (2x + y) = (3x + 2x) + y

A B C D

Which of the following operations will not change the value of any nonzero number? A multiplying by zero

B C D

multiply by 0

Which property is used in the equation below? 2(6 + x) = 12 + 2x

A B

11

10 4 -4 -10

2b + 5 = 5 + 2b

A B C D

Associative Property of Addition Commutative Property of Addition Distributive Property of Addition Identity Property of Addition


15

Evaluate the expression below when x = 75. (x + 36) + 25 A x + 100

19

A B C D

B x + 61 C 136 D 126 16

Which operation would not change the value of a nonzero rational number?

A B C D 17

A B C D 18

adding one multiplying by zero

21

x = –y y=1 y=0

Identity Property of Addition Associative Property of Addition Commutative Property of Addition Distributive Property

Simplify 7(2x – 5).

A B C D

Associative Property of Multiplication Commutative Property of Addition

x=y

Which property is used in the equation 5 + (m – 3) = (5 + m) – 3?

A B C D

dividing by one

14x – 5 14x – 35 21x –21x

Distributive Property Identity Property of Addition

Name the property used in the equation below. 3a – 11b = –11b + 3a

A B C D

20

adding the inverse

Name the property used in the equation below.

If x + y = x, what always must be true about y?

Associative Property of Addition Commutative Property of Addition Distributive Property Inverse Property of Addition

22

What value of z makes the equation below true? 18 + z = 0

A B C D

–18 0 1 18


23

What is the multiplicative inverse of 8? A –8

B C D

24

25

1

C D 28

1

C D

Identity Property of Multiplication

29

A B C D

associative property of multiplication

Which is an appropriate expression to model the area of a room that is 17 feet by 25 feet?

Which expression is equal to

A B C D 30

Commutative Property of Multiplication Inverse Property of Multiplication

Simplify the expression 7x + 3y by combining like terms.

A B C D

Distributive Property

Which expression is equivalent to ?

commutative property of multiplication associative property of addition

A B C D

0 the opposite of the number

What property is illustrated by the equation (y + 7) + 3 = y + (7 + 3)? A commutative property of addition

B

Name the property illustrated by the equation below.

A B

26

0

When the additive inverse of a number is added to the number, what is the result? A the number

B C D

27

31

Which expression is equivalent to 3 2x + 3(4 y)?

A B C D

15

2x

3y

15

x 3y

5x


AF 1.3 CST Practice Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

ANS: C ANS: B ANS: D ANS: A ANS: D ANS: B ANS: D ANS: D ANS: A ANS: B ANS: B ANS: A ANS: D ANS: B ANS: C ANS: B ANS: C ANS: B ANS: D ANS: B ANS: B ANS: A ANS: D ANS: B ANS: C

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA:

[Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 [Key]7AF1.3 CA 7.AF.1.3 CA 7.AF.1.3 CA 7.AF.1.3 CA 7.AF.1.3 CA 7.AF.1.3 CA 7.AF.1.3 CA 7.AF.1.3 CA 7.AF.1.3 CA 7.AF.1.3 CA 7.AF.1.3


26 27 28 29 30 31

ANS: C ANS: C ANS: B ANS: C ANS: B ANS: B

DIF: DIF: DIF: DIF: DIF: DIF:

Level Level Level Level Level Level

B B B B B B

STA: STA: STA: STA: STA: STA:

CA CA CA CA CA CA

7.A.1.3 7.A.1.3 7.A.1.3 7.A.1.3 7.A.1.3 7.A.1.3


7AF 3.3 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. MEDIUM EASY 2

Which of these equations describes the line graphed below?

A B C D 3

AF 3.3 B

y = 4x – 2 y = -4x – 2 y = 2x – 4 y = 2x + 4

Which of the following is the slope of the line shown below?

A B C D

2 -2


4

y

D

Which is the graph of y = 3x + 1?

5 4

y

A

3

5

2

4

1

3 2

–5

–4

–3

–2

1

–1 –1

1

2

3

4

5

–2

–5

–4

–3

–2

–1 –1

1

2

3

4

5

x

–3 –4

–2

–5

–3 –4 –5 y

B

5 4

6

3 2

What is the slope of the line shown below?

1

y –5

–4

–3

–2

–1 –1

1

2

3

4

5

5

x

4 –2

3 –3

2 –4

1 –5

–5

y

C

5

–5

1

–2

–1 –1 –2 –3 –4 –5

–1 –1

–4

2

–3

–2

–3

3

–4

–3

–2

4

–5

–4

1

2

3

4

5

x

A B C D

2 4

1

2

3

4

5

x

x


7

Which is the graph of y =

y

D

x – 3?

5 4 3

y

A

5

2

4

1

3 –5

2

–4

–3

–2

1

–1 –1

1

2

3

4

5

–2 –3

–5

–4

–3

–2

–1 –1

1

2

3

4

5

x

–4

–2

–5

–3 –4 –5

8

y

B

5

What is the slope of the line shown below?

4 y 3 5 2

(–1, 4)

1

4 3

–5

–4

–3

–2

–1 –1

1

2

3

4

5

2

x

1 –2 –3

–5

–4

–3

–2

–1 –1

1

2

3

4

–4 –2 –5 –3 –4

y

C

–5

5 4 3

A B

2 1

–5

–4

–3

–2

–1 –1 –2 –3 –4 –5

1

2

3

4

5

x

–3 –

C D

3

(2, –5)

5

x

x


10

y

D

Which is the graph of y = 2x?

5 4

y

A

3 5 2 4 1 3 2

–5

–4

–3

–2

–1 –1

1 –2 –5

–4

–3

–2

–1 –1

1

2

3

4

5

–3

x

–4 –2 –5 –3 –4 –5

y

B

5 4 3 2 1

–5

–4

–3

–2

–1 –1

1

2

3

4

5

x

1

2

3

4

5

x

–2 –3 –4 –5

y

C

5 4 3 2 1

–5

–4

–3

–2

–1 –1 –2 –3 –4 –5

AF 3.3 C

1

2

3

4

5

x


AF 3.3 C


AF 3.3 C


CHALLENGE 1

Which best represents the graph of y =

9

x + 5?

The slope of a line is

the line is (1, 1). Which of the following points is also on the line?

A

A B C D

B 11 C

12

B C What is the slope of a line passing through points (0, 0) and (4, 6)?

A B C

2

D

3

(4, 2) (4, 3) (–1, –2)

length of the line distance from the origin steepness on the line intersection of the line and the yaxis

Which of the following statements is true about the slope of a line?

A

5

(3, 4)

What does the slope of a line represent?

A B C D

D

. One point on

D

The slope of a line is never a fraction. The slope of a line is always positive. The slope of a line is the ratio of the change in y-values of two points on the line to the change in xvalues of the same two points on the line. The slope of a line is the ratio of the change in x-values of two points on the line to the change in y-values of the same two points on the line.


13

A line passing through the point ( 4, 5) has a slope of 0. Which point is not on the line? A ( 5, 5)

B C D

14

(625, 5) ( , 5)

Find the slope of the line passing through (3, 4) and (3, 7). A 3

B C D 15

( 125, 5)

4 7 Slope is undefined

You earn money to buy DVDs by mowing lawns for x dollars per lawn. One weekend you mow 4 lawns and buy 2 DVDs. Each DVD costs y dollars. You have $8 left at the end of the weekend. Which equation models this situation in slope-intercept form? A 2y = 4x + 10

B x= y+2 C y = 2x + 4 D y = 2x 4

AF 3.3 B


7AF 3.3 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6

ANS: A ANS: A ANS: B ANS: A ANS: C ANS: B

STA: STA: STA: STA: STA: STA:

[Key]7AF3.3 [Key]7AF3.3 [Key]7AF3.3 CA 7.AF.3.3 CA 7.AF.3.3 CA 7.AF.3.3

7 8 9 10 11 12 13 14 15

ANS: C ANS: A ANS: C ANS: D ANS: C ANS: C ANS: A ANS: D ANS: D

STA: STA: STA: STA: STA: STA: DIF: DIF: DIF:

CA 7.AF.3.3 CA 7.AF.3.3 CA 7.AF.3.3 CA 7.AF.3.3 CA 7.AF.3.3 CA 7.AF.3.3 Level B STA: CA 7.A.3.3 Level B STA: CA 7.A.3.3 Level B STA: CA 7.A.3.3


7AF 3.4 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. B MEDIUM

1

Strawberries are on sale, 3 pounds for $1.00. The following graph shows the relationship between the number of pounds of strawberries purchased and the total cost.

C

D

How many pounds of strawberries can be purchased for $6.00? A 2

B C D 2

6 12 18

Tacos are on sale, 2 for $1.00. Which of the following graphs shows the relationship between the number of tacos bought and the total cost?

A


CHALLENGE 3

Which statement is true about the graph of a direct variation?

A B C D

It must pass through the point (1, 1). It must pass through the point (0, 0). It has a positive slope. It has a negative slope.

AF 3.4

A


7AF 3.4 CST PREP Answer Section MULTIPLE CHOICE 1 ANS: D 2 ANS: B 3 ANS: B

STA: [Key]7AF3.4 STA: [Key]7AF3.4 DIF: Level B STA: CA 7.A.3.4


7AF 4.1 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. EASY MEDIUM 19 Jazmin has at least 9 more than half as many marbles as Brad. Jazmin has 1 What is the solution to the inequality 15 marbles. Which describes the number of Brad’s marbles?

A B C D

3n – 7 > 17? A n>3

B n>8 C n>9 D n<8

at least 12 at least 24 no more than 12 no more than 24

2 Indira has 15 posters, which is 6 more than 3 times as many posters as Abby has. The equation below shows this relationship.

A B C D

3x + 6 = 15 Which of the following statements is a reasonable number of posters for Abby?

3

C

3, because 3 times Abby's posters plus 6 is about 15 5, because 3 times Abby's posters is about 15

D 7, because 3 times Abby's posters minus 6 is 15 AF 4.1

4

+ 4 = 260?

32 64 1,048 2,048

What inequality has the solution x < 3? A 3x + 2 < 35

B C D

A 2, because 3 times Abby's posters is less than 15 B

What is the value of p if

5x –2 > 15 –3x – 2 < 9 –4x +3 > –9

Marty has $10 in his pocket on Monday. What will he have left on Friday if he spends $2.50 every day on a fruit smoothie? A $2.50

B C D

$0 $2.50 $5.00


6

What value of n makes the equation below true? 7n – 23 = 89

A B C D 7

14 16

11

18 21

15 115 361

A B C D 9

12

y ≤34.2 y ≤ 33.8 y ≥ 33.8 y ≥ 34.2

4 10

9 10 11 12

Michael needs $75 for a new cell phone. He has $33. He makes $7 an hour babysitting. The equation below shows the relationship. How many hours must Michael work to buy the phone he wants? 7h + 33 = 75

A B C D

What value of x makes the equation below true?

–4

Jebari needs $120 to fix his car. He has $65. He earns $5 an hour mowing lawns. The equation below shows this relationship. How many hours must Jebari work to have the money he needs? 5h + 65 = 120

A B C D

What is the solution to the following inequality? 15.8 + y ≤ 50

What is the value of x if –2x + 6 = –14? A –10

B C D

What is the value of x if 5x + 9 = 74? A 13

B C D 8

10

3 4 5 6

+4=9

A B C D

5 14 35 49

13

What value of y makes the equation below true? +3=7


A B C D 14

A B C D

12 16 20

Sarah has $300. Each week, she buys a $15 CD and a $5 book. How much money will she have left after 6 weeks? A $180

B C D 15

8

18

$210 $270 $280

What value of x makes the equation below true?

20 A B C D 16

3 21 30

What is the solution set to the inequality ?

A B C D 17

What is the value of y when –4y + 11 = 27?

21

–4 4 9

What value of z makes the equation below true? –6z – 5 = 7?

A B C

–2

D

2

–1

What is the value of x when –8x – 5 = 19?

A B C D

10

–9

–6 –3 3 8

Joy spent $50 at the bookstore. Each of the three books she bought cost the same amount of money. She also spent $2 on a bookmark. How much did each book cost?

A B C D

$12 $16 $18 $157


22

What is the value of x when –9x – 1 = 71?

A B C D 23

–8 –7 7

26

Which inequality has 34 for a solution?

A B C D

8

What is the solution set to the inequality 12y – 9 > 39?

What are the possible values of x, if 12 + 6x

A

36?

A

B

B

C

C

D

D

24

What value of z makes the equation below true?

A B C D 25

49 7 –5

What is the value of x, if = 9? A x=5

–7

What is the solution of the equation 33 = 11x + 11?

A B C D

AF 4.1

2 3 22

B

x=9

C

x = 33

D x = 45 AF 4.1

– 6


When Josh babysits, he charges a flat fee of $4 plus an hourly rate, r. Josh worked 4 hours at his last job. The equation 4r + 4 = 22 represents, in dollars, what Josh earned babysitting. What is Josh’s hourly rate? A $1.50 B

$4.50

C

$5.50

AF 4.1 C

D $6.50 AF 4.1

AF 4.1 C

AF 4.1 B

AF 4.1 A

AF 4.1 C


CHALLENGE 29 5

Which inequality describes the graph shown?

Sara read 13 books during the first half of the year. In the second half of the year, she read the same number of books each month. She read 31 books in all. How many books per month (b) did she read in the second half of the year? A 5

B C D

6

A y

7

B y

8

C y 27

Solve the inequality

.

A B C D 28

What is the solution of the inequality 9 > 27 + 3x?

A B C D

D y

30

You can get a premium movie membership for $20 a month. With the membership, each movie rental costs $1. Without the membership, each rental costs $5. How many movies can you rent so that the total cost of renting with membership is less than the total cost of renting without membership?

A B C D

5 6 7 20


What are all possible values of x, if

? A x>4 B

x>8

C

x>9

D x > 18

Andrea wanted to make at least a 90 on her math test. She got 46 points on the first half of the test. Each problem on the second half of the test was worth either 5 points or 0 points. No partial credit was given. Andrea solved the inequality representing this situation, as shown below. 5x + 46 90 x 8.8

AF 4.1

Which of the following best describes the number of problems Andrea must get correct on the second half of the test to make a score of at least a 90? A Andrea must get at most 8 problems correct. B

Andrea must get at least 8 problems correct.

C

Andrea must get at most 9 problems correct.

D Andrea must get at least 9 problems correct. AF 4.1


7AF 4.1 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

ANS: B ANS: D ANS: D ANS: B ANS: B ANS: B ANS: A ANS: A ANS: C ANS: D ANS: C ANS: D ANS: C ANS: A ANS: D ANS: A ANS: B ANS: A ANS: C ANS: B ANS: B ANS: A ANS: C ANS: D ANS: B

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: DIF:

[Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 [Key]7AF4.1 CA 7.AF.4.1 CA 7.AF.4.1 CA 7.AF.4.1 CA 7.AF.4.1 CA 7.AF.4.1 CA 7.AF.4.1 CA 7.AF.4.1 CA 7.AF.4.1 CA 7.AF.4.1 CA 7.AF.4.1 Level B STA: CA 7.A.4.1


26 27 28 29 30

ANS: A ANS: A ANS: A ANS: C ANS: A

DIF: DIF: DIF: DIF: DIF:

Level Level Level Level Level

B B B B B

STA: STA: STA: STA: STA:

CA CA CA CA CA

7.A.4.1 7.A.4.1 7.A.4.1 7.A.4.1 7.A.4.1


7AF 4.2 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. MEDIUM EASY 1 Jay drove his car for 2 hours at 65 The total cost of buying 4 tickets is miles per hour, and then he drove for another 4 hours at 50 miles per hour. How far did Jay drive in all? A 130 miles

$48. What is the cost of buying 6 tickets? A $32 B C

B C D

$58 $72

200 miles 265 miles 330 miles

D $96 AF 4.2

2

Miguel is saving for a new video game system that costs $199. If he gets an allowance of $15 a week, how many weeks will it take for him to save up enough money for the video game system? A 13

B C D

AF 4.2 C

3

14 15 20

An eagle flew at a speed of 17 miles per hour for 2 hours, and then it flew 15 miles per hour for 3 hours. How far did the eagle fly altogether? A 32 miles

B C D

47 miles 59 miles 79 miles


4

The number of tablespoons of sea salt needed in a saltwater fish tank varies directly with the number of gallons of water in the tank. A pet shop owner recommends adding 100 tablespoons of sea salt to a 20-gallon tank. How many tablespoons of sea salt should be added to a 30-gallon saltwater fish tank? A 100

B C D 5

B C D

8

250

10

2,500

8 12 16

13

1,250 miles 1,500 miles

19 miles 29 miles 39 miles

Ron drove his car for 200 miles at 55 miles per hour, and then for 3 hours at 45 miles per hour. How far did Ron drive in all? A 135 miles

B C D

3,000

1,000 miles

Allie rode her bike for 2 hours at 7 miles per hour, and then for 3 hours at 5 miles per hour. How far did Allie ride in all? A 10 miles

B C D

2,000

The amount of vacation Sabrina earns varies directly with the amount of time she works. If Sabrina works 2 weeks, she earns 3 hours of vacation. At that rate, how many hours of vacation time would Sabrina earn in 8 weeks? A 6

Micah’s scooter can go 1,000 miles on 20 gallons of gas. How far could the scooter go on 25 gallons of gas? A 750 miles

B C D

200

The distance you travel on a bicycle varies directly with the number of revolutions that the rear tire completes. You travel about 2 meters on a mountain bike for every revolution of the tire. About how many meters do you travel per 1500 tire revolutions? A 1,500

B C D 6

150

7

139 miles 200 miles 335 miles

Simon drove 55 miles per hour for 4 hours, then 65 miles per hour for 3 hours. How far did Simon drive in all?

A B C D

120 miles 415 miles 425 miles 455 miles


14

It takes Carly 39 minutes to walk 3 miles. At that rate, how long will it take Carly to walk 7 miles?

A B C D

21

hours. At that rate, how far can the cheetah run in 6 hours?

52 minutes

A B C D

78 minutes 91 minutes 273 minutes

22 17

Malcolm is reading a history book. It takes him 12 minutes to read 5 pages. At that rate, how many pages can Malcolm read in 1 hour?

A B C D 19

5 12 25 30

A person’s weight varies directly with gravity. Aaron weighs 180 pounds on Earth but would weigh only 30 pounds on the moon. Haresh weighs 54 pounds on Earth. How much would Haresh weigh on the moon?

A B C D

6 pounds

A cheetah can run 105 miles in

210 miles 360 miles 400 miles 420 miles

Ryan jogged 4 miles in 48 minutes. His brother, Bruce, jogged twice as fast as Ryan. At Bruce’s rate, how far can Bruce run in 30 minutes?

A B C D

2.5 miles 5 miles 6 miles 12 miles

Rachel drove 195 miles in 3 hours. If she continues driving at the same rate, how far will Rachel travel in 7 hours? A 455 miles B

585 miles

C

780 miles

D 1,365 miles

9 pounds 12 pounds 27 pounds

AF 4.2


AF 4.2 D

AF 4.2 C

AF 4.2 A

AF 4.2 C

AF 4.2 C


Mai rode on a train at a rate of speed of 70 miles per hour for 3 hours. Then she rode in a car at a rate of speed of 50 miles per hour for 2 hours. What is the difference between the number of miles Mai rode on the train and the number of miles she rode in the car?

CHALLENGE

9

A 20 B

60

C

100

Mandy rode her bike for 3 days at 40 miles day, and then for 5 days at 50 miles per day. What is the average number of miles per day for this 8-day trip? A 92.5 miles per day

B C D

46.25 miles per day 45.0 miles per day 42.0 miles per day

D 110 AF 4.2

11

The Main Street Bookstore had 2,000 copies of a new book in stock. The store has sold 1,200 copies of the book at a rate of 50 books per day. If the store continues to sell the books at this rate, in how many more days will the books be sold out? A 16 B

24

C

40

D 64 AF 4.2

A train travels at 120 miles per hour for 3 hours, and then increases its speed to 140 miles per hour for 9 hours. Find the average speed of the train. A 125 miles per hour

B C D 12

130 miles per hour 135 miles per hour 138 miles per hour

Jack’s car gets an average of 31 miles per gallon of gas. If he plans to drive 155 miles to his grandparent’s house, and then 186 miles to a friend’s house, how many gallons of gas will he use in all? A 11 gallons

B C D

31 gallons 55 gallons 62 gallons


20 15

The simple interest paid on a loan varies directly with the amount of the loan. At one bank, the interest owed on a $1,500 loan is $90. At that same bank, what is the interest owed on a $4,000 loan?

A B C D 16

$90 $120

A B C D

12.5 minutes 14 minutes 20 minutes 40 minutes

$240 $300

A plane’s average speed was 340 miles per hour. How long did it take the plane to travel 1,190 miles?

A B C D

Hyo can type 200 words in 5 minutes. How long would it take Hyo to type a 500-word paper?

Mark started riding his bicycle at 8:00 a.m. He rode 21 miles at an average rate of speed of 6 miles per hour. At about what time did Mark complete his bicycle trip?

3 hours

A 11:30 a.m.

3.5 hours

B

11:50 a.m.

C

12:00 p.m.

4 hours 4.5 hours

D 2:00 p.m. AF 4.2

18

Jessica earns $35 for 7 hours of babysitting. She is saving to buy a $160 radio. How many hours will Jessica have to babysit to have enough money to buy the radio?

A B C D

14 hours

Jared bought a 3-pound box of candy for $12. What was the cost of the candy per ounce? (1 pound = 16 ounces)

28 hours

A $0.25

30 hours

B

$0.40

C

$0.44

32 hours

D $0.75 AF 4.2


AF 4.2 C

AF 4.2 D


7AF 4.2 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

ANS: D ANS: B ANS: D ANS: B ANS: D ANS: C ANS: C ANS: C ANS: B ANS: D ANS: C ANS: A ANS: B ANS: C ANS: C ANS: B ANS: C ANS: D ANS: B ANS: A ANS: D ANS: B

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA:

[Key]7AF4.2 [Key]7AF4.2 [Key]7AF4.2 [Key]7AF4.2 [Key]7AF4.2 [Key]7AF4.2 [Key]7AF4.2 [Key]7AF4.2 [Key]7AF4.2 [Key]7AF4.2 [Key]7AF4.2 [Key]7AF4.2 CA 7.AF.4.2 CA 7.AF.4.2 CA 7.AF.4.2 CA 7.AF.4.2 CA 7.AF.4.2 CA 7.AF.4.2 CA 7.AF.4.2 CA 7.AF.4.2 CA 7.AF.4.2 CA 7.AF.4.2


7MG 1.3 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. MEDIUM

1

A B C D 3

2

Lisa is comparing three cars. Car A gets 34 miles per gallon. Car B can travel 480 miles on 15 gallons of gas. Car C can travel 70 miles on 2 gallons of gas. Which car gets the best gas mileage?

Steve is on the school track team. He can run 4 laps in 8 minutes. Four laps equal 1 mile. How long will it take him to run 2.5 miles on the track?

A B C D

Car A Car B Car C all three have the same gas mileage

The chart below shows the speed of four cameras. Camera Smart Shot Photo Plus Cool Cam Good Pix

Speed of Shots 1 shot per second 10 shots in 5 seconds 100 shots per minute 45 shots in 30 seconds

What camera has the fastest speed of shots?

A B 4

Smart Shot Photo Plus

A local amusement park had an average of 5,500 visitors per day. What was the average number of visitors in a week?

C D

Cool Cam Good Pix

A B C D

11,000 27,500 30,000 38,500

12 minutes 16 minutes 20 minutes 24 minutes


7

8

Colin is trying to find the fastest way to go to his friend’s house. He can rollerblade 12 miles per hour. He can run 2 miles in 20 minutes. He can ride a bike 7 miles in half an hour. He can walk 1 mile in 13 minutes. Which way is the fastest?

A B C D

biking rollerblading running walking

The chart below shows the density of four substances. Substance Concrete Copper Sand (dry) Aluminum

Density 2,400 kg/m3 8,900 kg/m3 1,600 kg/m3 2,700 kg/m3

Which substance is the least dense?

A B 9

copper

C D

sand aluminum

D

Which of the following answers could not be the speed of an object?

A B C D 12

concrete

17 mi per hr 8 ft per sec 25 customers per day

According to the table below, which reader could read the most pages in 1 hour?

50 km per hr

A building foreman estimates that a job will take 2000 person-hours to complete. About how long will it take 6 workers to finish the job?

A B C

13

500 days

less than 1 day 14 days 84 days

A B C D

Ashley David Karen Kyle


14

Which color printer is the fastest in the chart below?

A B

Colorific Rainbow

C D

Reliable Smart Copy

19

Listed in the chart below are the speeds of 4 different bicycle assemblers.

Who could assemble the most bikes in 8 hours? A Bobby

B C D

MG 1.3 A

CHALLENGE

Christina Doug Janet

5

Max is traveling at a speed of 62 miles per hour. If he travels at this speed for 10 hours, which of the following is not a reasonable estimate for the distance Max traveled?

A B C D MG 1.3 D

600 miles 620 miles 650 miles 800 miles


6

Kelley is trying to find the number of feet per minute she can ride her skateboard. Which of the following is most likely not her speed?

A B C D

28 ft/sec 200 ft/min 525 ft/min

It takes a company 4 person-hours to finish an assignment. How many assignments can a 2-person crew finish in 12 hours?

B

417

D

250

16

Listed below are bolt production rates for four different companies.

12 24 Which company produces the bolts fastest? A Alpha C Omega

B

Gamma

It beats 525 times in 7 minutes.

A person-day represents one person doing one day’s work. As supervisor, you realize that it will take 750 person-days to complete your latest work project. If you have 15 employees available, how many days will it take to complete the project?

A

You are the manager of a clothing store. Your sales goal for a 6-week period is 2500 shirts. About how many shirts must be sold per week to meet your sales goal? A 625 C 357

8

Bill's heart beats 360 times in 5 minutes. Alise's heart beats at a slower rate. Which of the following could describe Alise's heart rate? A It beats 320 times in 4 minutes.

17

15

6

11

B

It beats 460 times in 5 minutes.

120 ft/min

10

A B C D

It beats 426 times in 6 minutes.

C D

5

B C D

15 50 60

D

Zulu


18

The rate of a long distance call is $0.12 per minute. Your monthly bill was $32.04 for long distance calls. How many minutes did you spend on long distance calls? A 245

B C D 20

289

B C D

106 212 160

2 m3 9 m3 18 m3

Amy can type 20 pages per minute and Jordan can type 10 pages per minute. Working together, how long will it take them to type a 6,000-page document? A 30 minutes

B C D 22

284

At a rate of 25 miles per day, about how many hiking days would it take two through-hikers to complete 2,658 miles on the Pacific Crest Trail? A 53

A certain substance has a density of 6 kilograms per cubic meter. What is the volume of a piece of this substance with a mass of 3 kilograms? 3 A 0.5 m

B C D 21

267

23

200 minutes 300 minutes 600 minutes

A project will take 480 person-hours to complete. Each of the 4 people working on the project works for 6 hours per day. At that rate, how many days will it take to complete the project? [Answer: J] A 20

B C D

MG 1.3 A

48 80 120

MG 1.3 C


7MG 1.3 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

ANS: C ANS: C ANS: B ANS: D ANS: D ANS: B ANS: A ANS: C ANS: C ANS: A ANS: C ANS: B ANS: D ANS: C ANS: A ANS: A ANS: C ANS: B ANS: C ANS: A ANS: B ANS: A ANS: B

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: DIF: DIF: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA:

CA 7.MG.1.3 CA 7.MG.1.3 CA 7.MG.1.3 CA 7.MG.1.3 CA 7.MG.1.3 CA 7.MG.1.3 CA 7.MG.1.3 CA 7.MG.1.3 CA 7.MG.1.3 CA 7.MG.1.3 Level B STA: CA 7.G.1.3 Level B STA: CA 7.G.1.3 [Key]7MG1.3 [Key]7MG1.3 [Key]7MG1.3 [Key]7MG1.3 [Key]7MG1.3 [Key]7MG1.3 [Key]7MG1.3 [Key]7MG1.3 [Key]7MG1.3 [Key]7MG1.3 [Key]7MG1.3


7MG 3.3 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. MEDIUM

11

What is the length of the hypotenuse of the right triangle shown below?

A B C D 12

14

2 feet 6 feet 10 feet

A B C D

14 feet

What is the length of the hypotenuse in the right triangle shown below?

16 A B C D

What is the length of the missing side in the right triangle shown below?

8 feet 12 feet 18 feet 30 feet

What is the length of the missing side in CDE?

2 centimeters 5 centimeters 12 centimeters 14 centimeters

A B C D

4 inches 6 inches 8 inches 10 inches


17

What is the length of the hypotenuse of DEF?

A B C D

MG 3.3

Lucas rode his bike for 7 kilometers (km) east and then 5 km north. How far was Lucas from his starting point?

15 25 35 45

A Kendra lives 10 km from the northern tip of Swan Lake and 6 km from the southern tip of Swan Lake.

B

km 6 km

C

D 12 km MG 3.3

What is the north-south distance across Swan Lake? A 4 km B

8 km

C

12 km

D 16 km

km


MG 3.3 B

MG 3.3 C


CHALLENGE

1

Angie knows the length of two legs of a right triangle are 5 cm and 12 cm. What is the length of the hypotenuse of the triangle?

A B C D

MG 3.3 B

2

5 cm 12 cm 13 cm 17 cm

In the figure below,

is the

perpendicular bisector of X 10 cm

W

Z

Y

16 cm

What is the length of

A B C D

3 cm 6 cm 8 cm 10 cm

?

.


3

Which of the following lengths do not form a right triangle?

A B C D

4

A

D

B

C

8 ft, 15 ft, 17 ft 5 in., 12 in., 13 in. 7 cm, 15 cm, 17 cm 3 cm, 4 cm, 5 cm

A B C D

Find the length of on the graph below using the Pythagorean theorem.

4 in. 6 in. 8

in.

8 in.

y 5 4

B

3

6

2 1

C –5

–4

–3

–2

–1 –1

1

2

3

4

5

x

2 2 2 B a +b =c C A = bh

–2 –3

2 2 2 D a –b =c

–4 –5

7 A B C D 5

3 units 4 units 5 units 6 units

In the figure below, ABCD is a rectangle with diagonal . The length of is 4 in. and the length of is in. What is the length of

Which of the following equations represents the Pythagorean theorem? A A = bh

?

Sari is trying to draw a right triangle. The length of one of the sides of the triangle is 14 cm, and the length of the hypotenuse is 34 cm. How long should Sari draw the third side of the triangle? Round your answer to the nearest whole number.

A B C D

15 cm 20 cm 31 cm 37 cm


8

N

Which of the following sides lengths would form a right triangle?

A B C D 9

1 cm, 2 cm, 3 cm 4 cm, 5 cm, 6 cm 5 cm, 8 cm, 11 cm 6 cm, 8 cm, 10 cm

In the figure below, MNP is an equilateral triangle with all sides equal to 6 ft. L is the midpoint of and is perpendicular to .

M

L

P

What is the length of

A B C D

3 ft 3

ft

6

ft

6 ft

?


10

15

On the graph below, find the

length of theorem.

using the Pythagorean

In the figure shown below, Z is the midpoint of , and is perpendicular to . What is the length of ?

y 8 7 6

R

5 4 3 2 1

–8

–7

–6

–5

–4

–3

–2

–1 –1

1

2

3

4

5

6

7

8

x

A B C D

–2 –3 –4 –5 –6 –7

13 feet 17 feet 22 feet 30 feet

S

–8

A B

13

7 units 10 units

C D

12 units 13 units

18

In the figure shown below, D is the midpoint of , and is perpendicular to . What is the length of ?

Listed in the table are the lengths of the sides for four triangles. Which of the triangles is a right triangle?

A B C D

Triangle one Triangle two Triangle three Triangle four

A B C D

90 feet 50 feet 30 feet 10 feet


How many units long is

?

MG 3.3

A 11 B

13

C

15

D 21 MG 3.3

A utility pole is supported by two 13-foot-long wires.

If the base of the utility pole is 5 feet from the bottom of each of the wires, at what height from the ground are the wires attached to the pole?

A 8 feet B

12 feet

C

14 feet

D 16 feet

MG 3.3 D


MG 3.3 A


7MG 3.3 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

ANS: C ANS: B ANS: C ANS: C ANS: D ANS: B ANS: C ANS: D ANS: B ANS: D ANS: C ANS: B ANS: A ANS: B ANS: A ANS: C ANS: B ANS: C

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA:

CA 7.MG.3.3 CA 7.MG.3.3 CA 7.MG.3.3 CA 7.MG.3.3 CA 7.MG.3.3 CA 7.MG.3.3 CA 7.MG.3.3 CA 7.MG.3.3 CA 7.MG.3.3 CA 7.MG.3.3 [Key]7MG3.3 [Key]7MG3.3 [Key]7MG3.3 [Key]7MG3.3 [Key]7MG3.3 [Key]7MG3.3 [Key]7MG3.3 [Key]7MG3.3


7MG 3.4 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. EASY

4

The two triangles shown below are congruent. A

H

55°

75°

50°

B

C

What is the measure of

A B 7

G

F

?

50º

C D

55º

75º 130º

In the figure below, quadrilateral ABCD is congruent to quadrilateral PQMN.. D

A

C

B

What side is congruent to

A B

N

M

P

Q

?

C D


14

In the figure shown below, then what is mX?

RST and

XYZ are congruent. If mS = 48 and mT = 23,

15

A B C D

25 109 119

The figures shown are congruent.

Which of the following points in the second figure corresponds to point C? A

F

B

G

C

H

D

I

MG 3.4


MG 3.4 D


MEDIUM 11

Quadrilaterals MNOP and QRST are congruent in the figure shown below.

What is mN? A 75

B C D 12

80 95 150

In the diagram below, find the value of a.

A B C D

35 45 55 100

13

In the figure shown below,

EFC. What is the length of

A B C D

4 feet 11 feet 15 feet 26 feet

CDE  ?


Triangle ABC is congruent to triangle XYZ, as shown below.

Which of the following statements must be true? A

= 60째

B

= 60째

C D

= 3cm = 4cm

MG 3.4

MG 3.4 C


CHALLENGE

1

D 3

same shape same shape and size two sides congruent

6

3 4 5

The angles are all congruent.

C D

The corresponding sides are congruent. No sides are congruent.

0 1 2 3

Tana knows that two triangles have three pairs of corresponding angles that are congruent. Which of the following statements is true about the triangles?

A B

The sides are all congruent.

Mia is drawing a triangle that is congruent to a right triangle. How many right angles will be in Mia’s triangle?

A B C D

2

same size

Keith knows that two figures are congruent. What does Keith know about the sides of the figures?

A B C

How many pairs of congruent angles do two congruent trapezoids have?

A B C D

Under which of the following conditions are two figures congruent?

A B C D 2

5

8

The triangles are never congruent. The triangles are sometimes congruent. The triangles are always congruent. There is not enough information to compare the triangles.

Nathan knows that two squares are congruent. He knows the perimeter of one square is 36 inches. What is the length of a side in the other square?

A B C D

6 in. 9 in. 12 in. 18 in.


9 Which of the following describes figures that are always congruent?

A B C D

10

two triangles with one pair of sides congruent two rectangles two right triangles two squares with one pair sides congruent

Tom knows that two rectangles are congruent. The dimensions of one of the rectangles are 4 cm by 12 cm. What is the perimeter of the other rectangle?

A B C D

16 cm 32 cm 36 cm 48 cm


14 ANS: C STA: [Key]7MG3.4

7MG 3.4 CST PREP Answer Section MULTIPLE CHOICE 1 ANS: C STA: 7.MG.3.4 2 ANS: C STA: 7.MG.3.4 3 ANS: B STA: 7.MG.3.4 4 ANS: B STA: 7.MG.3.4 5 ANS: C STA: 7.MG.3.4 6 ANS: B STA: 7.MG.3.4 7 ANS: D STA: 7.MG.3.4 8 ANS: B STA: 7.MG.3.4 9 ANS: D STA: 7.MG.3.4 10 ANS: B STA: 7.MG.3.4 11 ANS: C STA: [Key]7MG3.4 12 ANS: D STA: [Key]7MG3.4 13 ANS: B STA: [Key]7MG3.4

CA CA CA CA CA CA CA CA CA CA


7MG 3.6 CST PREP Multiple Choice

MEDIUM Use the figure to answer the question.

Identify the choice that best completes the statement or answers the question. EASY 13 Which describes the solid above? A pentagonal prism B hexagonal prism C hexagonal pyramid D octagonal prism 14

How many faces, edges, and vertices does the solid have? A faces: 8; edges: 18; vertices: 12

B C D

faces: 8; edges: 12; vertices: 18 faces: 12; edges: 8; vertices: 18 faces: 18; edges: 12; vertices: 8

15

Which pair of line segments are parallel in the rectangular solid shown below?

MG 3.6 A

A B C D

and and and and


A

D

B

C Z W

X

The drawing above represents a rectangular solid.

2

Which of the following is not a face of the solid?

A B C D 3

CDZY WXYZ BXZD ADZW

Name a diagonal of the solid.

A B C D

Y


CHALLENGE 1

Which of the following is true about skew lines?

A B

4

If all of the edges on the prism were extended to lines, which of the following represent skew lines?

A B C D 5

and and and

Hector sees two planes in space. Which of the ways can the planes not be related?

A B C D 6

and

They can be parallel. They can be perpendicular. They can intersect at a point. They can intersect at a line.

Carson is trying to draw a triangular prism. What shape should he draw the faces?

A B C D

triangles rectangles right triangles trapezoids

They are noncoplanar. They are parallel.

C

They intersect.

D

They are perpendicular.


A square pyramid is drawn below.

7

Which of the following in not a lateral face of the pyramid?

A B C D 8

L

MNOP LMN POL LMP

M

Which of the following pair of line segments are parallel?

A B C D 9

How many diagonals can be drawn in a rectangular prism?

A B C D 10

2 4 6 8

Which of the following is not a way that three planes can intersect each other?

A B C D

at one line at two lines at a plane at two planes

O

P

N


11

Plane x is perpendicular to plane y. What is the intersection of planes x and y? A A point

B C D 12

A plane Plane x and plane y do not intersect.

What kind of lines always intersect? A parallel lines

B C D 16

A line

skew lines coplanar lines perpendicular lines

Which of the following line segments would be a diagonal in the prism shown below?

A B C D 17

Name a pair of skew lines in the graphic shown below.

A B C D

and and and and


18

How many diagonals are there in the prism shown below?

A B C D

4 6 8 12

MG 3.6 C


7MG 3.6 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

ANS: A ANS: C ANS: D ANS: D ANS: C ANS: B ANS: A ANS: C ANS: B ANS: D ANS: B ANS: D ANS: B ANS: A ANS: B ANS: D ANS: B ANS: A

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: DIF: DIF: DIF: DIF: STA: STA: STA: STA:

CA 7.MG.3.6 CA 7.MG.3.6 CA 7.MG.3.6 CA 7.MG.3.6 CA 7.MG.3.6 CA 7.MG.3.6 CA 7.MG.3.6 CA 7.MG.3.6 CA 7.MG.3.6 CA 7.MG.3.6 Level B STA: Level B STA: Level B STA: Level B STA: [Key]7MG3.6 [Key]7MG3.6 [Key]7MG3.6 [Key]7MG3.6

CA CA CA CA

7.G.3.6 7.G.3.6 7.G.3.6 7.G.3.6


7NS 1.2 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. EASY 11 What is the value of the expression ?

A B C D

3 A B C

12

4

Damion had quiz scores of 7, 6.5, 5, 10, 7.5 and 8.5. What was his total score on the quizzes?

A B C D

13

42 44

–

A B

6 20

17 3

What is the value of

A B C D

=

3

C D

45

44.5

16 7

1

What is the difference

A B C D

34

15

What is the value of

A B C D

D

3

15 60

Find the quotient

A B C D

3 6 12 21

.

?


19

What is the value of the expression

A B C D 20

Simplify the expression

A B C D

NS 1.2 D

What is the sum of the integers – 46 and 48? A –94 B

–2

C

2

D 94 NS 1.2

NS 1.2 D


MEDIUM 1

9

=

A B C D

A B C D

2

6

14

Alejandro needed 1.25 gallons of gasoline for his lawnmower. He had 0.9 gallons of gas. How much more gas did he need?

A B C D

0.25 0.35

2 4 8 16

A hiker starts walking from a location 140 feet below sea level and ends at a location 28 feet above sea level. What is the vertical distance the hiker travels? feet A

B C D

112 feet 140 feet 168 feet

0.45

18

2.15

Caroline baked cookies from a recipe that called for

cup of sugar. She

planned to triple the recipe. How much sugar did she need?

A

cups

B

cups

C

cups

D

Meredith squared the number 4. What was her answer?

3 cups

Over a week, a movie theater has gains and losses of $500, , , $785, $625, , and . What is the mean of the daily gains and losses for the seven days? A $189

B C D 21

$221.50 $356.71 $416.17

What is the value of

A B C D


22

A book that is

Use the bank record shown to answer the questions. The beginning balance was $74.21.

inches thick is

placed on top of a book that is

inch

thick. What is the combined thickness of the books?

A

in.

B

in.

C

in.

D

24

in.

27

B C D

What is the quotient

A B

28

C

Estimate the balance at the end of the month. A $25

D

$38 $111 $170

Find the exact balance at the end of the month. A $25.29

B C D

$37.50 $110.74 $169.08

Choose the correct answer.

29 26

Find the product A 2.79

B C D

4.30 9.11 16.08

After the next transaction, the new balance is $185.75. Was the transaction a deposit or withdrawal? How much was the deposit/withdrawal? A deposit; $16.67

B C D

withdrawal; $16.67 deposit; $75.01 withdrawal; $75.01


Choose the correct answer for each.

42

=

A

32

=

B

A

C

B

D

C D

34

43

=

A B C

B C D

$6.92 $7.05 $7.17

A –18

=

A

B C D

What is the value of –8 – (–10)?

D

39

Mr. Smith bought 8 tools that cost $49.36. Each of the tools cost the same amount. How much did each tool cost? A $6.17

B

–2

C

2

D 18 NS 1.2


NS 1.2 B NS 1.2 C

What is the value of 0.42 A 0.006 B

0.06

C

0.6

D 6 NS 1.2 B

NS 1.2

0.7 ?


8 Sara’s mother bought

pounds

of its

spaces reserved for handicap parking. The garage has 2 floors with 220 spots on each floor. What is the total number of handicap spaces in the garage?

pounds of on-

of squash,

A hospital parking garage has

ions, and pounds of green beans from a farmer’s market. How many pounds of vegetables did she buy?

A B C D

A

20 22 44 120

B C

10

6

D

A B C D

NS 1.2

CHALLENGE 15 5

Tina ate 2.5 pieces of pizza. This represented

of the entire pizza. How

6 8 10 12

23

=

5.25 5.75 6 6.25

When you multiply an integer greater than 1 and an integer less than 1, the product is which of the following? A less than zero

B C D

many pieces were in the pizza?

A B C D

11.75 –

greater than zero less than or equal to zero greater than or equal to zero

Find the product

A B C D


25

A jug contains bottle holds

quarts of water. A

35

quart of water. How

many bottles can you fill using the water from the jug? A 7

B C D 30

B C D

10 12

36

23 23.25 24

Cathy bought 4 pairs of shorts for $38.60. If the 4 pairs of shorts cost the same amount, what was the cost of each pair of shorts? A $7.95

B C D 33

$27.48

$9.55

$25.24 $26.14 $26.24

Ms. Juarez bought a book for each of her 23 students. Each book cost $3.25. How much did Ms. Juarez spend on the books? A $69.00

B C D

$8.55

$74.75 $75.00 $81.25

$9.65

38 Six tennis racquets cost $437.04. All the racquets cost the same amount. What is the cost of each racquet? A $71.18

B C D

$27.05

Maria, Jose, and Michael had lunch together. The cost of each of their lunches was $9.42, $7.23, and $8.59. What was the total cost of their lunches? A $24.24

B C D 37

31

$25.48

15

You are painting a toy box. Paint costs $0.75 per tube, including tax. You have $17.25 to spend. How many tubes of paint can you buy? A 12.25

B C D

Greg bought 7 pairs of jeans for $178.36. Each pair cost the same amount. How much did each pair of jeans cost? A $25.05

$72.04 $72.84 $77.04

Humberto purchased four shirts at a total cost of $64.16. Each shirt cost the same amount. How much was each shirt? A $11.04

B C D

$13.12 $14.12 $16.04


40

(5.2)2 = A 10.4

B C D 41

25.4 27.04 29.0

Darren paid $78.20 for 5 basketballs. If each basketball cost the same, what was the price of each basketball? A $13.15

B C D

$15.15 $15.64 $16.64

What is the value of A B

C

D 6 NS 1.2

?


7NS 1.2 CST PREP Answer Section MULTIPLE CHOICE 1 ANS:

D

STA:

CA 7.NS.1.2

2 ANS:

B

STA:

CA 7.NS.1.2

3 ANS:

C

STA:

CA 7.NS.1.2

4 ANS:

D

STA:

CA 7.NS.1.2

5 ANS:

C

STA:

CA 7.NS.1.2

6 ANS:

C

STA:

CA 7.NS.1.2

7 ANS:

B

STA:

CA 7.NS.1.2

8 ANS:

C

STA:

CA 7.NS.1.2

9 ANS:

D

STA:

CA 7.NS.1.2

10 ANS:

A

STA:

CA 7.NS.1.2

11 ANS:

B

DIF:

Level B

STA:

CA 7.N.1.2

12 ANS:

B

DIF:

Level B

STA:

CA 7.N.1.2

13 ANS:

D

DIF:

Level B

STA:

CA 7.N.1.2

14 ANS:

D

DIF:

Level B

STA:

CA 7.N.1.2

15 ANS:

C

DIF:

Level B

STA:

CA 7.N.1.2

16 ANS:

D

DIF:

Level B

STA:

CA 7.N.1.2

17 ANS:

B

DIF:

Level B

STA:

CA 7.N.1.2

18 ANS:

A

DIF:

Level B

STA:

CA 7.N.1.2

19 ANS:

B

DIF:

Level B

STA:

CA 7.N.1.2

20 ANS:

A

DIF:

Level B

STA:

CA 7.N.1.2


21 ANS:

C

DIF:

Level B

STA:

CA 7.N.1.2

22 ANS:

D

DIF:

Level B

STA:

CA 7.N.1.2

23 ANS:

C

DIF:

Level B

STA:

CA 7.N.1.2

24 ANS:

A

DIF:

Level B

STA:

CA 7.N.1.2

25 ANS:

B

DIF:

Level B

STA:

CA 7.N.1.2

26 ANS:

D

DIF:

Level B

STA:

CA 7.N.1.2

27 ANS:

D

DIF:

Level B

STA:

CA 7.N.1.2

28 ANS:

D

DIF:

Level B

STA:

CA 7.N.1.2

29 ANS:

A

DIF:

Level B

STA:

CA 7.N.1.2

30 ANS:

B

DIF:

Level B

STA:

CA 7.N.1.2

31 ANS:

D

STA:

[Key]7NS1.2

32 ANS:

C

STA:

[Key]7NS1.2

33 ANS:

C

STA:

[Key]7NS1.2

34 ANS:

B

STA:

[Key]7NS1.2

35 ANS:

B

STA:

[Key]7NS1.2

36 ANS:

B

STA:

[Key]7NS1.2

37 ANS:

B

STA:

[Key]7NS1.2

38 ANS:

D

STA:

[Key]7NS1.2

39 ANS:

C

STA:

[Key]7NS1.2

40 ANS:

C

STA:

[Key]7NS1.2

41 ANS:

C

STA:

[Key]7NS1.2

42 ANS:

C

STA:

[Key]7NS1.2

43 ANS:

A

STA:

[Key]7NS1.2


7NS 1.4 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. MEDIUM 7 Which of the following is a rational number?

2

Which of the following is a rational number?

A B C D 3

8

Which of the following describes an irrational number?

A B C D

5

A B C D

a terminating fraction

11

C D

In the sequence , , , , which term is a rational number?

Which of the following is a rational number?

A B C D

Which of the following is a rational number?

A B

0.10100100010001.....

A B C D

a fraction a non-repeating, non-terminating fraction a repeating fraction

–2.5

14

0.555 

Which of the following is an example of a rational number?

A B C D


16

Which of the following is a rational number?

6

A

Which of the following is an irrational number?

A

B C D

B C D

Which number is rational? A

9

B

Which of the following is an irrational number?

C

A B C D

D 0.4 NS 1.4

CHALLENGE 1

10

Which of the following is an irrational number?

Students were asked to write an irrational number. Ashley wrote ,

12

3.2

105

8

Which of the following is an irrational number?

Bernie wrote 0.125, Claudia wrote – ,

A

and Danielle wrote 0. . Who wrote an irrational number?

B

A B C D

–2.782

D

D 4

0.12

Which of the following is an irrational number?

A B C

A B C

0.675

Ashley Bernie Claudia Danielle

C D


13

Which of the following is an example of an irrational number? A 5.6

B C D 15

Which of the following is an irrational number?

B

C

NS 1.4

1.25

Which of the following is a rational number? A 

B C D 18

A

D

A B C D 17

1.8

Which number is irrational?

3  

Which of the following is an irrational number? A 3.14159

B C

1.41421

NS 1.4 A

D

NS 1.4 D


7NS 1.4 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

ANS: D ANS: D ANS: C ANS: A ANS: B ANS: D ANS: A ANS: C ANS: D ANS: B ANS: C ANS: D ANS: B ANS: D ANS: A ANS: A ANS: D ANS: D

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA:

CA 7.NS.1.4 CA 7.NS.1.4 CA 7.NS.1.4 CA 7.NS.1.4 CA 7.NS.1.4 CA 7.NS.1.4 CA 7.NS.1.4 CA 7.NS.1.4 CA 7.NS.1.4 CA 7.NS.1.4 [Key]7NS1.4 [Key]7NS1.4 [Key]7NS1.4 [Key]7NS1.4 [Key]7NS1.4 [Key]7NS1.4 [Key]7NS1.4 [Key]7NS1.4


7 NS 1.5 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question.

MEDIUM 1

3

Which fraction is the same as 2.02?

What fraction is the same as 7.32?

A

A

B

B

C

C

D

D

Which decimal best describes

A B C D

5

7

?

8

A B C D

0.3 0. 0.34 3

Which fraction converts to a terminating decimal?

Which decimal is the same as

10

?

0.1845 5.21 5.39 5.42

What fraction converts to a repeating decimal?

A

A

B

B

C

C

D

D


Choose the correct answer for each.

12

16

Which of the following fractions is equivalent to 3.2?

A

A

B

B

C

C

D

D 13

Which of the following fractions is equivalent to 4.125?

18

of

their games. Which of the following

B

decimals is another way to write

C

A B C D

Which of the following fractions is equivalent to 0.22?

A B C D 15

Andrew’s baseball team won

A

D

14

Shana earned a score of 80% on her last math test. Which of the following fractions is equivalent to Shana’s score?

Which of the following fractions is equivalent to 2.25?

A B C D

19

0.25 0.75 0.666… 1.333…

Which of the following fractions is equivalent to 0.02?

A B C D

?


Which of the fractions below is a repeating decimal?

Which of the fractions below is equivalent to 0.02 and is in lowest terms?

A

A B B C C D

D NS 1.5

NS 1.5

CHALLENGE

2

Which of the following does not describe a rational number?

A B C D

a fraction of two integers a repeating decimal a terminating decimal a non-repeating, non-terminating decimal

NS 1.5 B

4

Which of the following describes a rational number?

A B C D

a non-repeating, non-terminating decimal a number that contains a non-perfect square root a fraction of two integers


6

Kathleen learned

of a dance routine.

What decimal shows the part of the dance she learned?

A B C D

9

0.1875 0.25 0.35

B C D

17

Which of the following is not a rational number? A 0.111 0.111‌ 0.101101110‌ 0.10101010‌

Which of the following is a rational number?

A B C D

B repeating or terminating decimal C terminating decimal

A

11

A repeating decimal

0.625

Sarah read 11.08 books one summer. Which fraction represents the number of books she read?

B C D

Which phrase best defines a rational number?

D non-repeating, nonterminating decimal NS 1.5


7 NS 1.5 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

ANS: B ANS: D ANS: B ANS: D ANS: C ANS: A ANS: B ANS: D ANS: B ANS: D ANS: A ANS: D ANS: B ANS: C ANS: C ANS: C ANS: C ANS: B ANS: D

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: DIF: STA: STA: STA: STA: STA: STA: STA: STA:

CA 7.NS.1.5 CA 7.NS.1.5 CA 7.NS.1.5 CA 7.NS.1.5 CA 7.NS.1.5 CA 7.NS.1.5 CA 7.NS.1.5 CA 7.NS.1.5 CA 7.NS.1.5 CA 7.NS.1.5 Level B STA: CA 7.N.1.5 [Key]7NS1.5 [Key]7NS1.5 [Key]7NS1.5 [Key]7NS1.5 [Key]7NS1.5 [Key]7NS1.5 [Key]7NS1.5 [Key]7NS1.5


7NS 1.7 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. 3 A real estate agent earns a 3% commission on each house she sells. EASY She sold a house for $170,000. How 14 You deposit $250 into an account that much was the commission earned by the real estate agent?

earns simple interest at an annual rate of 2.5%. Which expression could be used to find the amount of money in the account after 3 years?

A B C D

A B C D 4

MEDIUM 1

Selena wants to buy a trumpet. She has a coupon for 20% off any item in the music store. The original price of the trumpet was $299. After she used her coupon, how much will she pay for the trumpet?

A B C D

$59.80 $239.20 $249.00

$4,500 $5,100 $51,000

The profits of a company were 35% of its revenue. The company had a revenue of 4 million dollars. What is the company’s profit?

A B C D 5

$3,000

$350,000 $900,000 $1,000,000 $1,400,000

Simple interest can be found by using the formula, I = prt. How much interest is earned on an investment of $500 for 1 year in an account that earns 8% interest?

$279.00

A B C D

$8 $40 $44 $80


7

Bianca makes bracelets and sells them for $9 each to a store. The store sells the bracelets for $22.50. What is the percent markup on each bracelet?

A B C D 8

125%

Jim earns a 6% commission on his sales at a computer store. Last month, he sold $12,480.00 worth of computers. How much commission did Jim earn? A $20.60

B C D

150% 250% 300%

Erin bought a bike that originally sold for $150.00. The bike store had a sale where every bike was 35% off. How much did Erin pay if she bought the bike during the sale?

A B C D

18

19

$35.00 $60.00 $97.50

$728.80 $748.80

Sara deposits $4000 into her bank account. The bank pays 4% interest annually. If she makes no deposits or withdrawals for one year, how much interest will she earn? A $80

B C D

$52.50

$206.00

$100 $160 $400

Choose the correct answer for each.

11

What is the price of a $22 vase after it is marked up 120%? A $17.60

B C D 17

$26.40 $48.40 $144.00

Marisol borrowed $800 at 7% simple interest for one year. If she makes no payment for one year, how much interest will she owe? A $15

B C D

$56 $66 $100

20

Mike receives an 8% commission on clothes he sells at his job. If he sold $1280.00 worth of clothing, how much should he expect to earn in commission? A $48.80

B C D

$102.40 $480.00 $880.00


24

A sporting goods store buys softball bats at a cost of $40. The store then marks the price up by 40%. What is the store’s profit on the sale of a bat? A $16

B C D 26

$20 $40 $56

The cost of an item after a 7% sales tax is applied to it is $53.50. What is the cost of the item before the sales tax is added? A $46.50

B C D

$50.00 $52.80 $57.24

Ricardo bought a bicycle that was discounted 20% off the original price. If the original price was $110.00, what was the price of the bicycle after the discount was applied?

A salesclerk gets a 7% commission on the sale of each computer. What is her commission on the sale of a computer that sells for $495? A $34.65 B

$70.00

C

$346.50

D $460.35 NS 1.7

Blake sold 17 vases for $3.25 each. He spent $16.21 on material to make the vases. What was his profit? A $39.04 C

$12.96

D $55.25 NS 1.7

A $22.00 B

$88.00

C

$90.00

D $132.00 NS 1.7

NS 1.7 D


CHALLENGE

2

A B C D

NS 1.7 B

6

9

$0.25 $0.35 $0.40 $0.65

A dad wanted to start saving for his son’s college fund. He invested $1,000 at 8% for 12 years. How much money will he have at the end of the 12 years? (Assume annual compound interest. A = p(1 + r)t )

A B C D

NS 1.7 B

NS 1.7 B

A store buys donuts for $0.25 each. The store then sells the donuts to their customers with a 40% markup. How much does a customer pay for one donut?

$2,476 $2,518 $6,872 $1,156,831

Sal sold 105 raffle tickets for $5.00 each. For every 15 tickets he sold, he received a $1.25 commission. How much commission did Sal make?

A B C D

$5.00 $7.00 $8.75 $9.50


10

Assuming simple interest where I = prt, what is the amount of interest earned on a $750 investment for 4 years at 5% interest?

A B C D 12

13

$200 $1,500

$247.50 $250.00

$419.20 $515.20

Chris bought a television set that was on sale for 10% off the original price and an additional 20% off the discounted price. If the television originally cost $200, then what is the price Chris paid? A $136

B C D

21

$110.00

$409.60

$144 $170 $180

A book was on sale for 25% off the original price. As a special promotion, an additional 20% was taken off the discounted price. If the original price was $40, what is the price paid after all the discounts? A $5

B C D

$850

You deposit $400 into an account that earns simple interest at an annual rate of 4.8% annually. How much money will be in the account after 6 months? A $403.20

B C D 15

$150

You save $82.50 when you purchase a bike on sale. The bike was discounted 33% off its regular price. What was the regular price of the bike? A $109.73

B C D

16

$24 $30

A skateboard is on sale for 15% off the original price, and as a special promotion, there is an additional 20% discount on the sale price. What price should a customer pay if the original price was $40.00? A $27.20

B C D 22

$20

$29.80 $34.00 $35.00

Basketballs are on sale for 25% off the original price. As a special promotion, the sale price has been discounted by an additional 20%. If basketballs cost $25.00 originally, then what is the price a customer should expect to pay? A $5.00

B C D

$6.25 $15.00 $18.75


23

Ivan opens a savings account with $100.00. The account pays 5% interest, compounded monthly. If Ivan makes no other deposits or withdrawals, what will the account balance be at the end of two months? A $100.10

B C D

25

$110.00 $110.25 $125.00

Sierra uses a coupon in order to receive a 20% discount on her purchase at the home improvement store. After the discount is given, there is a tax of 5% added to the cost. How much does Sierra pay if her total before the discount was $90.00? A $77.00

B C D

NS 1.7

$75.60 $75.00 $72.00

Mark deposited $200.00 in a savings account that pays 5% simple interest annually. If he does not deposit or withdraw from the account, about how much money will he have in his account after 2 years? A $202.00 B

$220.00

C

$210.00

D $420.00

NS 1.7 B


NS 1.7 C

NS 1.7 A


7NS 1.7 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

ANS: B ANS: B ANS: C ANS: D ANS: B ANS: B ANS: B ANS: D ANS: C ANS: A ANS: C ANS: D ANS: B ANS: C ANS: B ANS: C ANS: B ANS: D ANS: C ANS: B ANS: A ANS: C ANS: C ANS: A ANS: B ANS: B

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: DIF: DIF: DIF: DIF: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA:

CA 7.NS.1.7 CA 7.NS.1.7 CA 7.NS.1.7 CA 7.NS.1.7 CA 7.NS.1.7 CA 7.NS.1.7 CA 7.NS.1.7 CA 7.NS.1.7 CA 7.NS.1.7 CA 7.NS.1.7 Level B STA: Level B STA: Level B STA: Level B STA: [Key]7NS1.7 [Key]7NS1.7 [Key]7NS1.7 [Key]7NS1.7 [Key]7NS1.7 [Key]7NS1.7 [Key]7NS1.7 [Key]7NS1.7 [Key]7NS1.7 [Key]7NS1.7 [Key]7NS1.7 [Key]7NS1.7

CA CA CA CA

7.N.1.7 7.N.1.7 7.N.1.7 7.N.1.7


7NS 2.2 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question.

EASY

9 4

What is the least common multiple of 12 and 16?

A B C D

A B

12 16

C

24

D

48

MEDIUM 1

11

=

B C

5

Which of the following shows the next step for using the least common denominator to simplify

A

D

=

1

?

A

B

C

D

=

A B C D

12

What is the least common denominator of

A B C D

and 35 28 10 2

?


14

–

A B

CHALLENGE

=

2

1

calls for 1

D

Which of the following shows the next step for using the least common denominator to simplify

cups of flour and

cup of

sugar. How much flour and sugar total will he use to make the cookies?

C

15

Tucker is making cookies. The recipe

+

?

A

+

B

+

3

A B

2 cups 2

cups

C

2

cups

D

2

cups

Emma and Eric are painting their house. Eric painted Emma painted

of the house and

of the house. How

much of the house is painted?

C D

+

A

+

B C D 6

Rob completed scrambled

of a puzzle. His sister

of the completed portion

of the puzzle. How much of the puzzle was still completed?

A B C NS 2.2 A

D


7

13

=

Monday and

A

of her project on

of her project on

Thursday. How much of her project has Sara completed so far?

B C D

Sara completed

A

1

B C

8

D

Griffin and Ethan are saving money to buy a birthday gift. Griffin saved the price and Ethan saved

of

of the

price. What fraction of the price have they saved together?

16

=

A

A

B

B

C

C

D

D 10

Karl had

tank of gas left in his car.

17

Mr. Yakuro had

tank of gas before

He put in 4 gallons of gas, which was

work on Monday. He used

equal to

to drive to work. How much of the tank did he have left after driving to work?

of the capacity of his tank.

What fraction of his tank is now full?

A A B C D

B C D

of the tank


7NS 2.2 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

ANS: C ANS: B ANS: C ANS: D ANS: A ANS: B ANS: D ANS: C ANS: C ANS: D ANS: B ANS: A ANS: B ANS: D ANS: D ANS: A ANS: B

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA:

CA 7.NS.2.2 CA 7.NS.2.2 CA 7.NS.2.2 CA 7.NS.2.2 CA 7.NS.2.2 CA 7.NS.2.2 CA 7.NS.2.2 CA 7.NS.2.2 CA 7.NS.2.2 CA 7.NS.2.2 [Key]7NS2.2 [Key]7NS2.2 [Key]7NS2.2 [Key]7NS2.2 [Key]7NS2.2 [Key]7NS2.2 [Key]7NS2.2


7NS 2.3 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. EASY 5 When multiplying powers with like bases, what operation should you perform on the exponents?

2 A B C D

A B C D

115 1111 1124 12111

MEDIUM

addition subtraction multiplication division

6

1

=

=

A A

B

B

C

C

D

2

D 8 4

=

A B C D

1

=

A B C D

1219 12 1


14 9

When dividing powers with like bases, what should you do with the exponents?

A B C D

B C D

add

38 92 98

subtract mutliply divide

11

15

Which expression is equivalent to 99  96? 15 A 81

B C D

=

A B C D

Which expression is equivalent to 35  33? 2 A 3

45

813 915 93

90 180

C

360

D 12

=

A B C D 13

16

18

32 64

B C D

128 =

A B C D

Which expression is equivalent to 56 · 53? 2 A 5 53 59 518

10 16 24 64

19

=

A B C D

1212 128 124 123


20

25

=

A

A B C D

B C D 21

10 20

26

10 1.0 0.1 0.01

23 32 = 5 A 5 66

B

B C D

C

Which expression is equivalent to

Which expression is equivalent to 84? 7 3 A 8 ·8

D

36 72

82 + 82

?

A 1

22

=

A B C D

B

3

C

43

2

7

75 715 750

D 416 NS 2.3

Which expression is equivalent to 73 • 7 • 710?

24

Which expression has the greatest value? 1 4 A 6 6

B C

62 + 62

D

6–2  64

A B C D NS 2.3


What is

?

A B C

NS 2.3 D

D

NS 2.3 A

NS 2.3 C

NS 2.3 A


CHALLENGE 17 3

Which expression below has a product of 285,768?

A B C D 7

product as

?

A B C D 10

=

A B C D 16

6 9 18 54

Which of the following has the greatest value?

A B C D

A B 23

Which expression below has the same

34  3–2 32  3–3

=

There are 210 · 22 bacteria in Kevin’s science sample. How many bacteria is this? 5 A 2

B C D

28 212 220


7NS 2.3 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

ANS: D ANS: B ANS: A ANS: B ANS: A ANS: B ANS: B ANS: D ANS: B ANS: D ANS: A ANS: B ANS: D ANS: B ANS: C ANS: C ANS: A ANS: C ANS: C ANS: C ANS: B ANS: B ANS: C ANS: A ANS: B ANS: D

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA:

CA 7.NS.2.3 CA 7.NS.2.3 CA 7.NS.2.3 CA 7.NS.2.3 CA 7.NS.2.3 CA 7.NS.2.3 CA 7.NS.2.3 CA 7.NS.2.3 CA 7.NS.2.3 CA 7.NS.2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3 [Key]7NS2.3


7NS 2.5 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. 4 Which of the following is not true about the absolute value of a number? EASY

1 A B C D 2

A B

= –16

C

–4

D

4 16

the square of a number the opposite value of a number

–9

2 3 7 =

A B C D

MEDIUM

A B C D

–3

6

the distance from zero of a number on a number line

=

=

A B C D

the square root of a number

3

It measures the distance from zero on a number line. There are always two points with the same absolute value. Every number has an absolute value.

5

What does the absolute value of a number represent?

A B C D

It can be a negative number.

7

–20 –8 8 20

Julius knows the absolute value of a number is 5. What does Julius know about the number?

3 6 9

A B C D

The number is 5. The number is –5. The number can be 5 or –5. The number is 25.


8

+

A B C D 10

B C D

0 9 18

Absolute value measures a distance. Negative numbers do not have an absolute value. Absolute value is always the opposite of the number. Absolute value can only be used with positive numbers.

16

18

–20 20 80

Which of the following statements is true? A |–15| > |15|

B C D

|–33| < |15| |–15| > |–33| |–33| > |–15|

|7 – 6| – |19 – 6| = A –14

B C D

–10

–12 12 14

10 12

19

5 9

|–100| |58| |73|

Which of the following expressions has the greatest value? A |–92|

B C D

–5

Which of the following expressions has the greatest value? A |–81|

B C D

|10 – 40| – |30 – 80| = A –80

B C D

|38 – 45| – |12 – 14| = A –9

B C D 14

–9

|8 – 13|  |6 – 4| = A –12

B C D 12

15

Why must the absolute value of a number be positive?

A

11

=

22

|–56| |47| |91|

|5 – 18| + |7 – 13| A –19

B C D

–7 7 19


24

Which of the following expressions has a value of 8? A |–7| – |–1|

B C D

|–7| + |–1| |–7| – |1| –|–7| + |–1|

Which is A

_

60

B

_

20

C

+

NS 2.5 A

?

CHALLENGE 9

20

D 60

A B C D

NS 2.5

13

NS 2.5 C

How many points on a number line have the same distance from zero (excluding the number 0)? 0 1 2 4

Which of the following expressions has the smallest value? A |–58|

B C D

|–38| |21| |47|


17

+

A B C D 20

23

7 11

|–5|, –|12|, |–13| |–13|, –|12|, |–5|

27

|10| |9.1| |8.9|

||3  2|  |6  9|| = A 20

B C D

2 2 20

–|12|, |–13|, |–5|

Which point on the number line has the least absolute value?

3 3

A point F

5

Which of the following statements is not true? A |–62| > |–26|

B C D

Which has the greatest value? A |7.5|

B C D

–7

|2.5  3.5| + |22| = A 5

B C D

26

–11

Which of the following is in order from least to greatest? A –|12|, |–5|, |–13|

B C D 21

=

|–26| > |–62| |–26| < |62| |62| = |–62|

25

B

point G

C

point H

D point I NS 2.5

=

A B C D

–16 –2 12 16

NS 2.5 C


7NS 2.5 CST PREP Answer Section MULTIPLE CHOICE 1 ANS: D 2 ANS: C 3 ANS: D 4 ANS: A 5 ANS: C 6 ANS: B 7 ANS: C 8 ANS: D 9 ANS: C 10 ANS: A 11 ANS: C 12 ANS: C 13 ANS: C 14 ANS: B 15 ANS: B 16 ANS: D 17 ANS: D 18 ANS: B 19 ANS: A 20 ANS: A 21 ANS: C 22 ANS: D 23 ANS: B 24 ANS: B 25 ANS: D 26 ANS: B 27 ANS: C

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA:

CA 7.NS.2.5 CA 7.NS.2.5 CA 7.NS.2.5 CA 7.NS.2.5 CA 7.NS.2.5 CA 7.NS.2.5 CA 7.NS.2.5 CA 7.NS.2.5 CA 7.NS.2.5 CA 7.NS.2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5 [Key]7NS2.5


7SDAP 1.3 CST PREP Multiple Choice

Identify the choice that best completes the statement or answers the question. EASY

1

Which representation of data shows the median of the data most clearly?

A B C D 3

a box-and-whisker plot

A B C D

32

a line graph a scatterplot a stem-and-leaf plot

What is the median of the set of data below? 34, 22, 18, 32, 26, 56, 49, 40, 34, 41, 12

34 40 41

The stem-and-leaf plot below shows the ages of people attending a school meeting. Stem 0 1 2 3 4

8

Leaf 3458899 014558 0068 299

What is the maximum value of the data set?

A B C D

9 28 49 52

9

What is the median age of the people at the meeting?

A B C D

11 14.5 15 18.15


11

The following are the speeds of cars, in miles per hour, traveling on a local street: 25, 37, 42, 21, 30, 32, 25

14

Temperatures from around the country are listed in the stem-and-leaf plot below.

What is the median speed of the cars? A 25

B C D 12

30 37 42

What is the median number of worker absences, as shown in the box-and-whisker plot below?

What is the minimum temperature? A 29 degrees

B 42 degrees C 57 degrees D 63 degrees 15 Ages of volunteers at a local hospital are listed below:

A B C D 13

6 8 10 12

What is the maximum age of customers entering a store, as shown in the box-andwhisker plot below?

A B C D

20 30 50 80

19, 34, 19, 19, 20, 44, 21, 48, 55, 57, 46, 59, 44, 74, 69, 72 What is the maximum age of the volunteers? A 19

B 34 C 59 D 74 MEDIUM


2

What is the upper quartile of the set of data below? 34, 22, 18, 32, 26, 56, 49, 40, 34, 41, 12

A B C D

34 40 41 56

SDAP 1.3 C The following set of data represents the scores on a math test. 66, 97, 88, 80, 74, 75, 88

4

What is the lower quartile for the test scores?

A B C D

74 74.5 75 77.5

5

What is the interquartile range of the test scores?

A B C D

13.5 14 31 88


Use the box-and-whisker plot below.

15

6

30

35

40

45

50

55

60

65

32 35 45 57

What is the upper quartile for the data?

A B C D 10

25

What is the median of data?

A B C D 7

20

35 45 55 58

Listed below are the ages of students receiving tutoring:

SDAP 1.3 A

11, 13, 9, 21, 18, 16, 16, 12, 14, 13, 12, 15

CHALLENGE

What is the lower quartile of the data? A 9

B 11 C 12 D 13 16

A group of students are asked how many brothers and sisters they have. The results are as follows: 3 have none, 6 have 1, 7 have 2, 3 have 3, and 1 has 4. What is the median number of brothers and sisters? A 1

B C D

2 3 4

17

A group of dogs are weighed. The results are as follows: 2 weigh 6 pounds, 4 weigh 8 pounds, 5 weigh 12 pounds, 3 weigh 14 pounds, and 1 weighs 16 pounds. What is the upper quartile of the data? A 12 pounds

B C D

13 pounds 14 pounds 16 pounds


18

All of the students in a certain class are measured to see how tall they are. The results of the measurements are that 1 student is 48 inches tall, 2 are 50 inches tall, 3 are 56 inches tall, 3 are 58 inches tall, 2 are 60 inches tall, and 1 is 64 inches tall. What is the median height of the class? A 48 inches

B C D

56 inches 57 inches 58 inches

SDAP 1.3 B

SDAP 1.3 D


7SDAP 1.3 CST PREP Answer Section MULTIPLE CHOICE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

ANS: A ANS: C ANS: B ANS: A ANS: B ANS: B ANS: B ANS: C ANS: B ANS: B ANS: C ANS: B ANS: B ANS: D ANS: A ANS: D ANS: C ANS: C ANS: C

STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA:

CA 7.SDAP.1.3 CA 7.SDAP.1.3 CA 7.SDAP.1.3 CA 7.SDAP.1.3 CA 7.SDAP.1.3 CA 7.SDAP.1.3 CA 7.SDAP.1.3 CA 7.SDAP.1.3 CA 7.SDAP.1.3 CA 7.SDAP.1.3 [Key]7SDAP1.3 [Key]7SDAP1.3 [Key]7SDAP1.3 [Key]7SDAP1.3 [Key]7SDAP1.3 [Key]7SDAP1.3 [Key]7SDAP1.3 [Key]7SDAP1.3 [Key]7SDAP1.3


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