Name
Comparing and ordering fractions
Order These Write in order from least to greatest. Use scratch paper if necessary. Sometimes I use a number line and sometimes I use
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FS-10219 Pre-Algebra
Name
Adding and subtracting fractionr
Watch the Signs Add or subtract. Write your answer in the simplest form. A.
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FS-l0219 Pre-Algebra
Name
Adding mixed numbers
Mixed Number Sums I have to find the
Add. Write your answer in the simplest form. A.
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FS-10219 Pre-Algebra
Name
Subtracting mixed numbers
Mixed Number Differences Subtract. Write your answer in the simplest form. A.
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needed to?
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21
FS-10219 Pre-Agebra
Name
Adding and subtracting fractions
Fraction Practice Add or subtract. Write your answers in the simplest form. A.
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FS-10219 Pre-Algebra
actions
Name
Multiplying fractions
Products From Fractions Multiply. Divide any numerator and denominator by a common factor to make the fractions easier to multiply. Write your answers in the simplest form.
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Name
Multiplying mixed numbers
Mixed Number Multiplication Find the products. Rewrite mixed numbers as improper fractions before you multiply. Write your answers in the simplest form. A.
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FS-10219 Pre-Algebra
Dividing fractions
How Many Equal Parts? 'lhfiuftle fractions, rewrite the problem and multiply
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FS-10219 Pre-Algebra
Dividing mixed numbe
Name
Mixed Number Division Change the mixed numbers to improper fractions. Then multiply the first fraction by the reciprocal of the second fraction. Circle each answer in the simplest form.
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FS-10219 Prs-Algel
Name
ld numbers
Problem solving with fractions
Georgina's Famous Chili Here are the ingredients Georgina uses in her chili.
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cups kidney beans tsp. salt
tomato paste
tbsp. chili powder
cloves garlic
Revise the amount of each ingredient to serve the number of people shown.
lngredient oil
16 servings r..
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4 servings
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6 servings
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ground beef tomatoes tomato paste kidney beans salt
pepper chili powder garlic
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Pre-Algobra
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Frank Schaffer Publications, lnc
27
FS-10219 Pre-Algebra
Making a frequency tab
Name
How Many Vowels? Complete the frequency distribution table by tallying the vowels in the following paragraph. (The cumulative fiequency is the sum of the frequency and all the frequencies above it on the table.) The alphabet consists of 26 letters. Five of them are vowels. Some vowels are used more often than others. Which do you think is used most in this paragraph?
Vowels Used in EverydaY Writing
Use the frequency table to answer the questions. A. How many vowels were used in the paragraph?
B. How many more times was o use than u?
D. Was e used more often or less oftt
c. Altogether, how many times were
than the other vowels combined?
a and e used in the paragraPh?
E. Write a question that can be answered by reading the frequency table. Then answer i
O Frank Schaffer Publications, lnc
28
FS-10219 Pre-Alge
Name
Making a line plot
Line Up A line plot shows how numbers are distributed. Make a dot on the line plot to record each height listed in the box. Then cross off the number in the box.
raph. it
Heights of Students in Ms. Gagnon's Class (inches)
'l__l
.56 59 55 60
tu ttit"
l
lncy
59 59 66 57
52 63 60 67
57 64 66 57
58 59 57 61
57 61 64 58
63 57 58 59
I I
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55 56 57 58 59 60
61
height in inches
Use the line plot to answer the questions.
A. Which height is most common to
B. What is the difference (in inches) between the shortest and the tallest student in the class?
this class?
c. How many students are 63 inches r used
tall or taller?
D. How many students are 56 inches
tall or shorter?
= E. How many students are between
s often
54 and 62 inches tall?
F. Which heights on the line are not represented by the students in Ms. Gagnon's class?
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wer it.
rre-Algebra
F. Write something you know from reading the line plot.
6
Frank Schatfer Publications, lnc.
29
FS-10219 Pre-Algebra
Making a stem-and-leaf plot
Name
Stem-and-Leaf Plots Make a stem-and-leaf plot to organize the test scores listed in the box. In the sfem column, write the tens digits of the scores in order from least to greatest. ln the leaves column, write the digits that go with the tens digits in order from least to greatest. Gross off each number as you record it.
6ffi
Test Scores for Ms. Woo's Math Class
.56' t-5$"" 74 82 65 76 82
67 95 87 BB 79 90
g3 95 74 88 86 80 90
68 78 92 95 B9
76 92
Use your stem-and-leaf plot to answer the questions.
A. What was the lowest score?
B. What was the highest score?
c. How many students scored 90
D. How many students scored below 70?
or above? F.
E.
How many students scored between 70 and 89, including 89?
Grade Record
G. Use information from the stem-and-leaf
Score
plot and the grading scale at the right to find the number of students who received each letter grade. Write the numbers on the grade record at the right.
@
Frank Schatfer Publications, lnc.
What single score was the most common in Ms. Woo's class?
30
Grade
90-1 00
A
8H9
B
70-79
c
6H9
D
1-59
F
Number of Students
FS-10219 Pre-Algebra
Name
Making a pictograph
Picture This Make a pictograph for the data shown in the table below. Write a title on the line above the graph and make a symbol key. List the sports along the left side of the graph and use symbols to indicate the number of people who participate in each. Mountain
Climbing 60 people
Walking Running Swimming Bicycling Aerobics
120 people 75 people 30 people 45 people 15 people
Use your pictograph to answer the questions.
A. Why did you choose your title? B. What does each symbol represent? Why did you choose that number value?
C. Write something you know from reading your picture graph.
I Pre-Algebra
@ffi Sffiler Publications,
lnc.
31
FS-10219 Pre-Algebra
Making a bar graph
Bars for Gars Make a double bar graph for the data shown at the right. List the autos along the left side ol the graph. For each car, show the number sold in March with one color and the number sold in April with another color. Write a title on the line above the graph and fill in the color key.
March 2,000 Compact 2-Door Sports 1,200 4-Door Sedan 1,100 Station Wagon 900 1,750 Van
March
April
2,300 1,800 950 850 2,300
April
o o (d
1,000
1,500
2,000
2,500
cars sold
Use the information given to answer the questions.
A. Which car sales did not increase between March and
B. Which car style had the largest increase in sales?
April?
D. Which two car styles had the same
c. How many more compact cars were
sales in April?
sold in April than in March?
E. Write something you know from reading the double bar graph.
@
Frank Schaffer Publications, lnc.
32
FS-10219 Pre-AIgebra
nr
graPh
Name
v
Video Rental Records
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50l
Making a line graph
Day of Week
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Make a line graph for the data shown on the chart at the right. Write a title on the line above the graph. Put labels along the horizontal and vertical axes. Make a dot to show the number of videos rented each day. Connect the dots with lines.
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
Number of Videos 60 48 60 72 108 120 96
Use your line graph to answer the questions.
A. On which day were video rentals
B. On which two days were video rentals the same?
highest? Lowest?
ame
I Pre-Algebra
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c. Did video rentals increase or decrease
D, What does the graph tell about the
between Tuesday and Wednesday?
trend of video rentals during the course of the week?
Frank Schaffer Publications, lnc.
33
FS-10219 Pre-Algebra
lnterpreting a hisiogram
Name
Heavyweight Histogram Study the histogram below. Then answer the questions'
Weights of Junior League Football Players 24 22 20 C)
516 f [14 rr
12 10 8
6
4 2
91-1 05
1
12't-135 06-1 20 Weight in Pounds
1
36-1 50
A. What does the width of each bar on the histogram represent?
B. What does the height of each bar on the histogram represent?
c. How many players weigh more than 135 pounds? D. What is the weight range with the greatest frequency? E. How many players weigh less than 106 pounds? F.
@
Write something you know from reading the histogram'
Frank Schalfer Publications, lnc.
34
FS-10219 Pre-Algebra
Name
Range, mean, median, and mode
Measures of Central Tendency Eleven students from each math class competed in a math competition. Their scores are shown below. range-the difference between the least and greatest numbers
Teacher
Scores
Ms. Rowe Mrs. Midqelv Mr. Maynard Mr. Arnaiz Ms. Silver Ms. Choi
79, 83, 96, 75, 100,80, 91,87,72,86,79 86, 89, 93, 86, 95, 82, 77, 86,95, 98, 86 68, 95, 72, 100,82, 85, 72,73, 68,72, 80 80, 75, 78, 80, 92, 66, 70,78,68, 90, 78 73, 68, 75,82,69, 85, 75,78,75,88,78 94, 90, 85,87,72,79,86, 95, 94, 98, 89
mean-the average median-the middle number in a set of data
mode-the number that occurs most frequently in a set of data
Find the range, the mean to the nearest tenth, the median, and the mode for each class. Write them on the chart below.
Teacher
Range
Mean
Median
Mode
Ms. Rowe Mrs. Midgely Mr. Maynard Mr. Arnaiz
Ms. Silver Ms. Choi Use your data to answer the questions.
A. Whose class had the highest mean?
B. Whose class had the smallest range?
c. Whose class had a five-point
D. Whose class had the lowest median?
difference between the median and the mode?
@
Frank Schaffer Publications, lnc.
35
FS-'|0219 Pre-Algebra
Box-and-whisker graphs
Name
Box-and-Wh isker
G
raphs
A box-and-whisker graph organizes data and helps you interpret it. Study the box-andwhisker graph shown below. The median is the middle number in the ordered data. The first quartile is the median of the lower half of the data. The third quartile is the median of the upper half of the data.
19 i
22
25
23
I
lower extreme
1st
28
ll quartile
29
36
38
40
42
46
50
62
I
I
{ upper extreme
3rd quaftile
median 37
2s
65
46
Answer the following questions about the box-and-whisker graph shown at the right.
A. What is the lower extreme? B. What is the first quartile? C. What is the median? D. What is the third quartile?
E. What is the upper extreme? Study the unfinished box-and-whisker graph below. Then answer the questions and record the information on the box-and-whisker graph.
3
10
13
F. What is the lower extreme?
H. What is the median?
17
26
21
29
31
32
36
39
G. What is the first quartile? l.
What is the third quaftile?
J. What is the upper extreme?
@
Frank Schatfer Publications, lnc.
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FS-10219 Pre-Algebra