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3
CONTENTS
Math Skill
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
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
Page
Multiplying Decimals by Whole Numbers . . . . . . . . . . . . . . . . . . . . . 1
Dividing Decimals by Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . 3
Multiplying and Dividing Decimals by Whole Numbers . . . . . . . . . . 5
Multiplying Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Dividing Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Multiplying and Dividing Decimals . . . . . . . . . . . . . . . . . . . . . . . . . 11
Operations with Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Terminating and Repeating Decimals . . . . . . . . . . . . . . . . . . . . . . . 15
Adding Fractions with Like Denominators . . . . . . . . . . . . . . . . . . . 17
Subtracting Fractions with Like Denominators. . . . . . . . . . . . . . . . 19
Adding and Subtracting Fractions with Like Denominators . . . . . . 21
Adding and Subtracting Fractions with Unlike Denominators . . . . 23
Mixed Numbers and Improper Fractions . . . . . . . . . . . . . . . . . . . . 25
Adding and Subtracting Mixed Numbers . . . . . . . . . . . . . . . . . . . . 27
Multiplying Fractions and Mixed Numbers . . . . . . . . . . . . . . . . . . . 29
Dividing Fractions and Mixed Numbers . . . . . . . . . . . . . . . . . . . . . 31
Operations with Fractions and Mixed Numbers . . . . . . . . . . . . . . . 33
Proportions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
Fractions, Decimals, and Percents . . . . . . . . . . . . . . . . . . . . . . . . . 37
Percent of a Number. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
Ratios and Rates. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
Absolute Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
Adding Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
Subtracting Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
Adding and Subtracting Integers . . . . . . . . . . . . . . . . . . . . . . . . . . 49
Multiplying Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
Dividing Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
Multiplying and Dividing Integers . . . . . . . . . . . . . . . . . . . . . . . . . . 55
Identifying Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
Using Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
One-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
Two-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
Graphing Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
One-Step Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
Two-Step Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
Mean, Median, Mode, and Range . . . . . . . . . . . . . . . . . . . . . . . . . 71
Graphing Points on a Coordinate Plane . . . . . . . . . . . . . . . . . . . . . 73
Line Plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Circle Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
Stem-and-Leaf Plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
Histograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
Measurement: The Customary System . . . . . . . . . . . . . . . . . . . . . 79
Measurement: The Metric System . . . . . . . . . . . . . . . . . . . . . . . . . 81
iii
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
1
Multiplying Decimals by Whole Numbers
Find each product.
267
× 2.5
667.5
2.
54
× 6.8
367.2
3.
424.9
× 327
138,942.3
5.
267
× 0.6
160.2
6. 5.7 × 2,648
15,093.6
3,588
× 1.74
6,243.12
8.
762
× 5.62
4,282.44
9. 63 × 3.547
223.461
11.
64.85
×
23
1,491.55
12.
14.
455
× 12.6
5,733
15.
1.
4.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
7.
10. 5,724 × 42.8 244,987.2
13.
74.59
×
38
2,834.42
1
561
× 0.9
504.9
2,546
×
2.5
6,365
591
× 7.9
4,668.9
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
1
Multiplying Decimals by Whole Numbers
Find each product.
691
× 1.03
711.73
2.
9,350
× $0.25
$2,337.50
4.
359
× 6.52
2,340.68
5.
7.
8,935
× 6.96
62,187.6
8. 697 × 69.19
10.
5,918
× 2.85
16,866.3
11. 2.5 × 9,530
3. 893 × 90.98
791.36
×
340
269,062.4
6.
48,225.43
23,825
89
× 0.97
86.33
9. 791.36 × 106
12.
81,245.14
83,884.16
859.2
×
33
28,353.6
Solve.
13. Molly bought 15 keychains for her
friends for $2.67 each. How much did
she spend altogether?
14. Nathaniel has $45.75. He wants to buy
some model cars that cost $5.48 a piece.
Does he have enough money to buy
8 cars? Explain.
$40.05
Course 3
Yes; 8 cars will cost 8 × 5.48 or $43.84.
Since $43.84 < $45.75, he has enough
money.
2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
1.
NAME ________________________________________ DATE _____________ PERIOD _____
2
Dividing Decimals by Whole Numbers
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Find each quotient. Round to the nearest hundredth if necessary.
9.45
1. 7 66.15
5.67
2. 14 79.38
0.36
4. 18 6.426
5. 697.421 ÷ 54
7. 10.69 ÷ 9
14.52
8. 90 1,306.36
10. 61.98 ÷ 8
48.91
13. 4 195.64
1.19
7.75
13.48
3. 37 498.76
3
6. 0.71 ÷ 7
0.10
224.43
9. 34 7,630.59
11. 6,210.63 ÷ 12
14. 62.27 ÷ 6
12.92
517.55
10.38
43.62
12. 22 959.64
15.70
15. 28 439.614
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
2
Dividing Decimals by Whole Numbers
Find each quotient. Round to the nearest hundredth if necessary.
25.67
1. 14 359.38
4. 9.87 ÷ 3
3.29
165.83
7. 37 6,135.71
164.32
2. 8 1,314.56
8.39
3. 46 385.94
5. 62.02 ÷ 14
4.43
247.91
5,949.84
6. 24 8. 77.76 ÷ 4
19.44
9. 3,109.65 ÷ 15
207.31
10. Mr. Richards spent $59.70 on pizzas for
a class pizza party. If he bought 6 pizzas
and each cost the same amount, how
much did each pizza cost?
11. The price for five friends to visit a
museum was $46.25. What was the cost
for each ticket?
$9.95
$9.25
13. Mrs. Blackwell has $33.40 to split
evenly between her four children for
their allowance. How much will each
child receive?
12. It took Kendra 12 minutes to ride her
bike 3.25 miles. If she rode at an
average rate, how long did it take her
to travel one mile?
3.69 min
Course 3
$8.35
4
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Solve.
NAME ________________________________________ DATE _____________ PERIOD _____
3
Multiplying and Dividing Decimals by Whole
Numbers
Find each product or quotient.
1.
425
× 3.7
1,572.5
21.45
4. 18 386.1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
7.
4,210
× 2.61
10,988.1
154.98
10. 36 5,579.28
13.
123.47
×
15
1,852.05
6.89
2. 9 62.01
5.
3.
46.8
6. 27 1,263.6
362.54
×
21
7,613.34
0.63
8. 19 11.97
11.
20.76
×
82
1,702.32
9.
176
× 4.72
830.72
62.51
12. 15 937.65
79.61
×
49
3,900.89
0.32
14. 39 12.48
15.
5
2.367
×
29
68.643
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
3
Multiplying and Dividing Decimals by Whole
Numbers
Find each product or quotient.
1.
5.68
2. 3 17.04
716
× 2.15
1,539.4
51.97
987.43
4. 19 7.
5.
3.
12.75
6. 41 522.75
64
× 4.67
298.88
0.05
0.75
8. 15 1,654
×
2.7
4,465.8
11.
9.
16.84
×
31
522.04
9.82
12. 61 599.02
641
× 9.35
5,993.35
Solve.
13. Mr. Yi traveled 385.6 miles on 15
gallons of gasoline. How many miles
did he travel per gallon of gasoline?
Round to the nearest hundredth.
14. Sonya uses 8.56 pounds of flour to make
a dessert that serves 17 people. How much
flour is needed per serving? Round to the
nearest hundredth.
25.71 mi
Course 3
0.50 lb
6
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
152.64
4,121.28
10. 27 2.69
× 14
37.66
NAME ________________________________________ DATE _____________ PERIOD _____
4
Multiplying Decimals
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Find each product.
1.
2.5
× 13
32.5
2.
6.9
× 53
365.7
3.
46.8
× 5.2
243.36
4.
164
× 8.8
1,443.2
5.
9.1
× 5.3
48.23
6.
922.2
×
0.4
368.88
7. 8.2 × 5.9
48.38
10. 15.1 × 12
181.2
235.98
8. 20.7 × 11.4
11. 4.8 × 6.5
31.2
9. 33.2 × 9.2
12. 16.6 × 0.6
305.44
9.96
Solve.
13. Katie worked 40.5
hours this week. She
makes $8 per hour.
How much money did
she earn this week?
$324
14. To build an addition for
his house, Mr. Toshio
needs 18 sections of
paneling that are each
7.5 feet long. How
many total feet of
paneling does
Mr. Toshio need?
135 ft
7
15. Over the course of five
months, Olivia noticed
an average of 2.5 inches
of rainfall per month.
How much total rainfall
did she observe over the
five-month period?
12.5 in
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
4
Multiplying Decimals
Find each product.
1.
7.19
× 3.09
22.2171
2.
4.
$10.16
×
1.25
$12.70
5.
7. $11.75 × 16
8.505
4.81
× 7.85
37.7585
8. 49.76 × 5.11
11. 1.76 × 5.13
254.2736
9.0288
3.
80.4
× 2.34
188.136
6.
9.03
× 3.2
28.896
9. 237.02 × 8.3
12. 12.25 × 1.28
1,967.266
15.68
Solve.
13. The costume designer
for a drill team needs
3.25 yards of fabric to
make one uniform. How
much fabric is necessary
if 44 uniforms are needed
for the team?
143 yd
Course 3
14. Khalid purchased five
12-packs of soda that
cost $3.59 each. How
much did Khalid spend
on soda?
$17.95
8
15. At her job, Annie earns
$9.50 per hour. If Annie
worked 32.5 hours last
week, how much money
did she earn?
$308.75
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
10. 3.15 × 2.7
$188
$56.24
×
12
$674.88
NAME ________________________________________ DATE _____________ PERIOD _____
5
Dividing Decimals
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Find each quotient.
6.7
1. 0.3 2.01
23
2. 0.04 0.92
3.5
3. 0.7 2.45
1,200
756
4. 0.63 $25
5. 4.6 $115
16.3
6. 8.1 132.03
427
111.02
7. 0.26 92.3
8. 4.7 433.81
65
9. 0.68 44.2
10. $25.62 ÷ 0.84
$30.50
11. 40.05 ÷ 4.5
8.9
12. 100.8 ÷ 3.6
28
Solve.
13. Marta ran a total of
6.25 miles on a 0.25-mile
track. How many laps
did Marta run?
25 laps
14. Before taxes, Drew’s
pay was $173.25. If he
earns $8.25 per hour,
how many hours did
Drew work?
21 h
9
15. A 20.5-ounce bottle of
s shampoo costs $4.51.
What is the price per
ounce?
$0.22
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
5
Dividing Decimals
Find each quotient.
$102.20
1. 0.3 $30.66
8.2
2. 16.7 136.94
8.2
3. 12.3 100.86
26
32.5
4. 1.25 86
5. 13.1 1,126.6
22.3
6. 5.1 113.73
75
153
7. 2.04 8.8
8. 3.2 28.16
10.3
9. 6.7 69.01
11. 84.64 ÷ 0.92 92
12. 209.33 ÷ 17.3 12.1
14. Sofia earned $255.75
on her last paycheck.
If she worked 15.5
hours, what is Sofia’s
hourly wage?
15. Which is a better
bargain: a 22.5-ounce
box of cereal that costs
$3.60 or a 14.5-ounce
box of the same cereal
that costs $2.90?
Solve.
13. Mrs. Rollins paid a
total of $11.25 for
lunch meat that was
priced at $4.50 per
pound. How many
pounds of lunch meat
did she buy?
2.5 lb
Course 3
$16.50
10
22.5 oz box
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
10. 34.32 ÷ 0.12 286
NAME ________________________________________ DATE _____________ PERIOD _____
6
Multiplying and Dividing Decimals
Find each product or quotient.
1.
6.72
× 4.3
28.896
1.4
3.71
4. 2.65 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
7.
8.08
× 6.3
50.904
16.1
35.42
10. 2.2 25
2. 1.85 46.25
5.
3.
100.22
×
0.34
34.0748
47
6. 0.24 11.28
51.07
× 12.8
653.696
36.5
54.75
8. 1.5 9.
×
11.
$11.34
10.5
$119.07
2.54
12. 9.5 24.13
112.6
× 7.07
796.082
Solve.
13. Ramon drove at 37.5
miles per hour for 1.5
hours. How far did
he drive?
56.25 mi
14. For a school fund-raiser,
each person in Mr. Singh’s
class walked 5.25 miles.
The whole class walked
a total of 126 miles. How
many people are in
Mr. Singh’s class?
15. Candy bought from the
bulk food section costs
$3.30 per pound. Sarah
wants 2.5 pounds of
candy. How much will
she have to pay?
24 people
$8.25
11
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
6
Multiplying and Dividing Decimals
Find each product or quotient.
1.
2.02
× 1.04
2.1008
121
10.89
4. 0.09 7.
219.22
×
0.7
153.454
3.
7.43
× 3.49
25.9307
5. 89.6 × 8.37
749.952
6. 18.75 ÷ 0.75
8. 74.62 ÷ 1.4
53.3
9. 40.25 × 12.8 515.2
11. 17.7 × 6.48
114.696
12. 81.84 ÷ 0.22
25
372
Solve.
13. A carwash charges
$3.75 per wash. If the
carwash made $315 in
one day, how many cars
were washed?
14. In a survey, 2.25 times
as many students
preferred pizza to hot
dogs. If 44 students
preferred hot dogs, how
many preferred pizza?
15. California has 7.25 times
as many counties as
Connecticut. If California
has 58 counties, how
many counties are in
Connecticut?
84 cars
99 students
8 counties
Course 3
12
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
41.5
6.64
10. 0.16 89.3
2. 4.2 375.06
NAME ________________________________________ DATE _____________ PERIOD _____
7
Operations with Decimals
Find each sum, difference, product, or quotient.
1.
514.67
+ 122.8
637.47
2.
32.5
27.3
4. 0.84 13.92
×
52
723.84
5.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
-
7.
98.09
×
4.8
470.832
10.
94.45
+ 7.75
102.2
13. 64.71 - 25.82
3.
375.8
22.96
352.84
8. 56.03 - 22.75
11. 126.18 ÷ 3.6
38.89
1.25
14. 2.56 3.2
13
74.07
- 12.68
61.39
6.
+
33.28
35.05
108.47
16.6
125.07
22.4
9. 3.5 78.4
12. 62.93 × 8.6
541.198
15. 46.8 + 7.91
54.71
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
7
Operations with Decimals
Find each sum, difference, product, or quotient.
1.
17.08
×
5.4
92.232
2.
4.
82.65
+ 47.83
130.48
5. 608.2 - 59.34
7. 44.1 ÷ 9.8
-
13.
845.2
6.78
838.42
407.3
- 186.94
220.36
Course 3
346.72
- 106.8
239.92
548.86
6.
+
4.5
8.
16.62
×
0.8
13.296
9. 307.09 + 45.6
3.25
11. 5.12 16.64
14.
1,903.05
432.98
2,336.03
31.25
× 0.44
13.75
14
352.69
12. 61.6 × 22.01
1,355.816
15. 743.59 + 88.8
832.39
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
10.
1.128
3. 7.5 8.46
NAME ________________________________________ DATE _____________ PERIOD _____
8
Terminating and Repeating Decimals
Write each fraction or mixed number as a decimal. Use bar notation
if the decimal is a repeating decimal.
16
1. _
30
2. _
20
0.8
1
4. _
8
0.25
11
5. _
6
55
7. _
50
0.275
1
8. 1 _
300
1.875
13
6. 5 _
40
−
0.16
5.26
5
9. _
9
2
−
0.183
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
7
3. 1 _
120
−
0.5
1.5
Write each decimal as a fraction or mixed number in simplest form.
10. 0.26
−
12. 0.8
11. 0.75
13
_
_3
50
13. 0.1
4
_1
_
5
9
25
−−
17. 3.25
_
_
15
4 12
10
94
9
−
15. 1.5
14. 4.48
16. 9.8
_8
18. 0.81
_
3 25
99
15
81
_
100
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
8
Terminating and Repeating Decimals
Write each fraction or mixed number as a decimal. Use bar notation
if the decimal is a repeating decimal.
2
1. _
4
2. _
5
5
3. 7 _
9
8
−
0.4
0.4
7
4. _
17
5. _
6
1
6. 5 _
40
−
1.16
9
7. _
3
−
5.3
0.425
4
8. 3 _
11
7.625
18
9. _
20
5
−−
0.81
3.8
0.9
−
11. 0.6
10. 0.55
11
_
_2
20
−−
13. 1.67
14. 3.75
_
15. 0.48
_
_
5
12
_
4
25
−
18. 2.7
17. 0.125
62
50
33
99
16. 6.4
17
_
3
1 67
Course 3
12. 0.34
_1
8
16
_
27
9
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Write each decimal as a fraction or mixed number in simplest form.
NAME ________________________________________ DATE _____________ PERIOD _____
9
Adding Fractions with Like Denominators
Add. Write each sum in simplest form.
_
4
1 5
2. _
+_
_
6
7 13
5. _
+_
3
1 4
1. _
+_
5
5 5
6
4
2 2
+_
4. _
9
_
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
5
20
_
2
2 2
+_
10. _
6
6
11
_
10
5 3
+_
13. _
25
15 15
8
_
25 5
11
3
_
5
1 3
6. _
+_
8
13
_9
11
_
1
1 2
14. _
+_
3
12 6
8
4
6
7
1
9. _
+_
8
6
3
11. _
+_
3
12
3 7
4
8. _
+_
8
_
7
3 5
3. _
+_
_
15
9 3
5
7 3
+_
7. _
20
_
6 6
13
_
6 4
2
12. _
+_
10
10 5
_
7 3
2
15. _
+_
3
15
17
15
5
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
9
Adding Fractions with Like Denominators
Add. Write each sum in simplest form.
_
5
2 7
1. _
+_
8
8 8
_
16 8
_
3 4
1
+_
7. _
5
5
5
25
_
25
_
5 1
1
+_
13. _
36
Course 3
3 7
4
6. _
+_
6
36 6
6
14
9
14
7
_
9 9
8
6
8. _
+_
_7
5
3 1
9. _
+_
3
4
11. _
+_
_7
15
7 22
12. _
+_
10
20
10
10
10
_
8
12 1
14. _
+_
40
40
2
18
16
27
_
16 2
27
_
27
_
7
5 4
15. _
+_
15
15
5
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
25
5
1
5. _
+_
1
20
16
8 24
+_
10. _
_
3
5 4
3. _
+_
12 3
12
5
9 7
+_
4. _
16
_
6 2
2
2. _
+_
NAME ________________________________________ DATE _____________ PERIOD _____
10
Subtracting Fractions with Like Denominators
Subtract. Write each difference in simplest form.
_
3
2 1
2. _
-_
_
6
3 1
3. _
-_
5
3 1
-_
4. _
_
2
1 1
5. _
-_
_
3
1 2
6. _
-_
6
2 4
-_
7. _
_
3
1 1
8. _
-_
_
5
2 1
9. _
-_
6
4 1
-_
10. _
_
3
1 1
11. _
-_
_
9
3 1
12. _
-_
_
6
5 1
14. _
-_
_
7
5 1
15. _
-_
7
6
7
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
_
5
3 2
1. _
-_
8
7 7
6 3
7 7
8
4
7
4 1
-_
13. _
9
9 3
5
3
6
4
7
5 5
3 3
5
9
6 3
12
4 2
7
9
7
19
8
9 3
5
9
_
5
_
3
_
12 2
_
8 4
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
10
Subtracting Fractions with Like Denominators
Subtract. Write each difference in simplest form.
_
9
3 6
1. _
-_
11
11 11
_
5
3 1
-_
4. _
6
6
3
12
12
_
6
10
_
5
1 2
-_
13. _
6
Course 3
6
3
5
_
2
1 1
3. _
-_
8 2
9
9
9
8
12
5. _
-_
1
40 10
_
7
4 1
6. _
-_
6
2
8. _
-_
_4
7
3 1
9. _
-_
13
13
13
30
25
_
12 3
_
16
7 3
12. _
-_
_
7
5 2
15. _
-_
6
20
15 1
14. _
-_
25
12
15 5
_
15
10 1
11. _
-_
30
_
15
5
20
24
9
24
9
_
9
8
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
_
6
2 2
-_
10. _
10
8
40
8
6 1
-_
7. _
_
7
3 1
2. _
-_
NAME ________________________________________ DATE _____________ PERIOD _____
11
Adding and Subtracting Fractions with
Like Denominators
Add or subtract. Write each sum or difference in simplest form.
5
2
1. _
+_
_7
7
1
2. _
+_
_4
7
9
3. _
+_
_4
7
4
4. _
-_
_1
7
11
5. _
-_
_1
4
1
6. _
-_
_1
_5
7
5
9. _
-_
13
7
12. _
+_
_4
25
22
15. _
-_
_1
9
9
9
9
10
12
3
10
12
5
3
5
3
7. _
+_
_1
9
4
8. _
-_
11
1
+_
10. _
_3
4
7
3
11. _
-_
_1
16
20
5
33
17
13. _
+_
1
23
5
14. _
-_
_1
16
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
9
16
50
16
50
2
11
20
36
11
36
11
2
21
20
15
8
25
39
5
20
15
8
25
39
5
_1
4
5
13
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
11
Adding and Subtracting Fractions with
Like Denominators
Add or subtract. Write each sum or difference in simplest form.
8
5
1. _
-_
_3
14
11
2. _
-_
_1
13
3
3. _
+_
_4
23
17
-_
4. _
_1
5
13
5. _
+_
_3
9
7
6. _
-_
_1
17
5
-_
7. _
_2
6
4
8. _
+_
10
_
25
11
9. _
+_
1
33
19
-_
10. _
_2
31
4
11. _
+_
_5
15
7
12. _
-_
_1
13
17
+_
13. _
_5
28
8
14. _
-_
_4
23
22
15. _
+_
_3
11
30
18
42
Course 3
30
18
35
42
11
5
3
5
7
15
24
11
49
45
15
24
11
49
45
5
4
11
7
9
22
20
16
36
32
75
20
16
36
32
75
5
8
4
5
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
35
11
NAME ________________________________________ DATE _____________ PERIOD _____
12
Adding and Subtracting Fractions with
Unlike Denominators
Add or subtract. Write the sum or difference in simplest form.
1.
1
_
5
3
_
+
4
19
20
2.
_
4.
7
_
9
11
_
36
5.
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
5
1
- _
3
9
_
20
1
+ _
4
11.
_
11
_
15
_
- 5
12
19
60
_
6.
10
1
+ _
4
13
_
9.
30
4
- _
15
1
6
16
1
+ _
2
13
16
5
_
12
1
+ _
4
2
3
_
16
_
12.
21
5
- _
7
7
_
9
1
- _
6
11
_
1
21
14.
5
_
_
_
7
10
13.
7
_
_
15
10.
_
20
_4
8
24
5
6
19
_
8.
3
_
11
+ _
_
36
3
_
3.
6
7
_
12
1
4
17
_
7.
5
_
18
8
_
15.
17
15
_
68
1
4
16
_
25
39
- _
100
_
_1
4
23
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
12
Adding and Subtracting Fractions with
Unlike Denominators
Add or subtract. Write the sum or difference in simplest form.
1.
4
_
9
_
+ 1
3
7
9
2.
_
4.
18
_
25
11
_
50
3
_
+
5
_
8
7
+ _
40
8.
1
_
5
2
_
+
3
13
15
13
_
-
14
5
_
12
43
84
_
Course 3
_
9.
5
5
- _
8
12.
25
1
- _
2
1
50
7
_
12
6
+ _
25
247
300
_
_
37
_
-
20
31
- _
100
25
13
_
14.
19
_
16
_
40
_
13.
35
1
14
_7
11.
10
22
- _
4
_
5
7
_
15.
40
2
_
9
17
_
22
8
+ _
55
101
110
_
253
_
360
24
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
_4
10.
6.
15
5
_
9
37
45
_
2
36
4
_
9
35
36
_
4
_
_1
7.
+
_
5.
19
_
3.
5
11
_
30
7
30
NAME ________________________________________ DATE _____________ PERIOD _____
13
Mixed Numbers and Improper Fractions
Write each improper fraction as a mixed number.
13
1. _
26
2. _
4
7
_
_
16
8. _
29
9. _
3
4
_
_
73
11. _
_
5
_
13 5
5
212
15. _
6
7
16 4
11
199
14. _
_
_
6 7
8
33 6
4
84
12. _
11
7
71
3
10
237
13. _
_
51
4 3
8
7
2
9
109
10. _
_
53
51
54
10
3
38
6. _
2
43
7. _
22
5
11
5. _
9
_
51
4
49
4. _
3
_
_
31
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
8
3. _
5
9
_
33 1
6
25
_
23 5
9
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
13
Mixed Numbers and Improper Fractions
Write each mixed number as an improper fraction.
1
1. 6 _
7
2. 3 _
4
25
_
1
4. 7 _
4
9
6. 2 _
9
43
_
16
85
_
6
7
7. 6 _
67
_
7
46
_
9
11. 9 _
44
_
2
126
_
3
20
2
8
15. 14 _
25
139
_
23
_
13
17
14. 32 _
20
7
1
12. 11 _
13
19
13. 6 _
61
_
11
13
817
_
25
26
190
_
13
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
10
3
16
5
9. 8 _
11
2
10. 14 _
41
_
9
2
8. 4 _
10
4
8
4
5. 9 _
6
23
_
31
_
4
Course 3
3
3. 5 _
8
NAME ________________________________________ DATE _____________ PERIOD _____
14
Adding and Subtracting Mixed Numbers
Add or subtract. Write each sum or difference in simplest form.
6
1.
2.
1
- 3_
6
25
6
1
15 _
2
_
+ 92
5
24 9
10
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
13
22 _
30
5
+ 14 _
6
37 4
15
4
13 _
-
15
3
10 _
5
8.
10
_
- 18 29
30
_
8 14
15
6
-
_
9.
7
11
- 9_
14
61
2
_
12.
84
4
8_
7
5
42 _
8
12
17
22
24
_
_
4
122 _
+
10
3
+ 29 _
8
83 3
40
11
- 19 _
17 71
84
14.
7
53 _
_
23
9_
+
18
1
32 _
2
88
9
_
2
16 _
11.
7
41_
6.
24
_
9
27 _
8
5 7
22
3
13.
4
5
5_
24
-
_
10.
8
3
- 12 _
7
11_
5.
_
7.
3
18 _
3.
6
1
_
+ 5
4
1
10
12
_
_
4.
5
4_
25
4
82 _
5
_
204 24
25
27
15.
7
51 _
20
17
- 17 _
20
33 1
2
_
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
14
Adding and Subtracting Mixed Numbers
Add or subtract. Write each sum or difference in simplest form.
1.
5
5_
6
1
_
+ 2
3
2.
1
8_
6
6_
7
25
_
- 4
28
1 27
28
5.
19
56 _
1
77 _
2
_
- 62 4
11
15 3
22
7
4_
+
20
2
2_
5
63
4
_
Course 3
8
28 _
6.
9
_
+ 10 3
7
_
37
42 _
9.
50
17
- 25 _
20
16 89
100
1
19 _
9
5
+ 23 _
6
42 17
18
_
15
108 _
12.
16
_
+ 72 5
24
181 7
48
5
30 _
32
5
- 21_
12
_
14.
15
10
355 5
6
_
11.
11
609 _
9
- 253 _
63
_
13.
25
_
_
10.
10
8
27 _
39 20
8.
50
71
8_
96
2
37 _
15.
3
13
_
- 29
15
74
5
5
224 _
12
15
+ 512 _
16
737 17
48
_
_
28
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
20
5
+ 34 _
6
91 47
60
31
14 _
7
+ 12 _
40
_
7.
3.
8
4
_
- 5
5
13
_
6
4.
1
6_
NAME ________________________________________ DATE _____________ PERIOD _____
15
Multiplying Fractions and Mixed Numbers
Multiply. Write each product in simplest form.
_3
15
4
1. _
×_
5
16
7
27
3. _
×_
18
49
9
1
5. _
× 3_
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
11
3
2. 5 _
× 14
18
_3
_
21
6
21
9. 6 _
×_
21
7
64
20
24
1
6. _
× 3_
3
25
2
27
5
1
1
4. 6 _
× 3_
4
14
3
1
7. 7 _
× 3_
2
76
7
4
_
4
5
8
_
7
1
8. 2 _
× 2_
10
3
4
10. 4 _
× 4_
8
29
55
8
12
7
20
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
15
Multiplying Fractions and Mixed Numbers
Multiply. Write each product in simplest form.
19
21
1. _
× 1_
1
5
1
3. 12 _
×_
40
21
2
16
5
40
5. 8 _
×_
8
63
33
3 29
9
1
4. 4 _
×_
_3
5 10
_
18
100
6. _
×_
_8
_
26
2
8. 4 _
×_
4
64
_
6
Course 3
32
13
2
3
52
117
27
1
1
10. 7 _
× 8_
5
30
3
4
4
13
60
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
9
1
9. 5 _
× 1_
11
25
21
71
28
3
32
9
1
7. 23 _
×_
3
_
45
1
2. _
× 5_
NAME ________________________________________ DATE _____________ PERIOD _____
16
Dividing Fractions and Mixed Numbers
Divide. Write each quotient in simplest form.
3
4
1. 1_
÷_
5
3
5
9
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
18
_2
3
7. 9 ÷ _
8
11
7
55
65
_
84
7
_
13
5
13
31
11
10. 3 _
÷ 1_
23
31
10
14
16
2
8. _
÷_
24
9
8
9. 9 _
÷ 1_
6
15
5
5
1
6. 10 _
÷ 1_
5
36
7
4
4. 2 _
÷_
2
5
9
5
25
5. _
÷_
22
5
_2
8
3. _
÷4
_
2
1
2. 8 _
÷ 3_
69
_
22
5
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
16
Dividing Fractions and Mixed Numbers
Divide. Write each quotient in simplest form.
8
16
1. _
÷_
35
49
_7
9
1
2. 7 _
÷_
10
5
_
_
2
2
3. 2 _
÷ 2_
11
1
4. 6 _
÷5
9
4
5. 6 _
÷ 1_
4
3
1
6. 9 _
÷ 6_
3
7
14
20
_
11
2
2
7
_
33
8
63
2
2
10. 14 _
÷ 10 _
9
32
3
_
11
3
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Course 3
75
4
5
25
8. 4 _
÷ 1_
9
16
4
9. 4 _
÷_
15
4
25
8
11
4
_
23
3
7. _
÷_
24
4
15
8
10
NAME ________________________________________ DATE _____________ PERIOD _____
17
Operations with Fractions and Mixed Numbers
Add, subtract, multiply, or divide. Write each answer in simplest form.
3
21
1. _
+_
24
_
6
1
4. 7 _
÷_
31 1
4
25
100
2
36
6
3
5. 13 _
-_
13 3
4
_
25
3
1
2. 6 _
× 5_
3
7
4
5
1
3. 4 _
- 3_
18
_
6.
28
4
3
17
_
18
13
14 _
25
1
+ 10 _
3
24 64
75
_
_
25
1
× 7_
7. _
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
81
2
4
8. 14 _
÷_
22
9
5
5
9.
54
15
2
32 _
3
9
- 28 _
10
_
3 23
30
19
2
÷ 1_
10. 18 _
7
45
4
1
13. 56 _
- 45 _
9
12
_
12 6
7
_
11 13
36
9
3
11. 17 _
+ 12 _
16
4
25
1
14. _
× 10 _
72
5
_
30 5
16
_
3 13
24
27
2
12. _
× 2_
32
7
_
1 13
14
93
11_
15.
-
100
13
3_
20
_
8 7
25
33
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
17
Operations with Fractions and Mixed Numbers
Add, subtract, multiply, or divide. Write each answer in simplest form.
1.
17
_
_
9
1
÷_
2. 8 _
18
4
- _
5
13
90
10
22 1
2
25
3.
16
2
- 10 _
5
3
5_
5
_
1
2
+ 22 _
4. 37 _
8
7.
7
_
59 23
56
4
62 _
5
4
5. 3 _
× 10 _
15
8.
25
9
+ 57 _
10
2
5_
5
30 6
7
15
9
_
10 2
3
_
120 3
1 28
50
45
23
1
10. 62 _
÷ 1_
2
5
3
1
× 1_
9. 9 _
9
3
- 3_
5
_
7
2
6. 14 _
÷_
32
_
36 4
11
11.
9
12 _
1
12
×_
12. 7 _
56
1
+ 6_
8
4
17
_
5 2
17
_
18 2
7
13.
11
45 _
20
_
- 16 7
100
1
11
÷_
14. 4 _
8
9
24
_
29 12
25
Course 3
34
9
2
15. 16 _
× 6_
10
13
104
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
_
35
7
NAME ________________________________________ DATE _____________ PERIOD _____
18
Proportions
Solve each proportion.
a
2
1. _
=_
3
b
48
2. _
=_
7
18
8
24
3. _
=_
p
9
56
12
7
21
4. _
=_
t
6
9
x
5. _
=_
10
75
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
k
16
13
48
20
4
1
52
4
15. _
=_
9
102
20
256
55
5
85
_
14. _
x =
92
96
y
64
12. _ = _
100
25
g
80
13. _ = _
156
9
h
11
11. _
=_
175
12
f
8
9. _
=_
m
27
8. _
=_
28
4
_
10. _
c =
60
99
180
23
5
25
6. _
=_
110
25
3
135
=_
7. _
w
4
27
6
35
b
117
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
18
Proportions
Solve each proportion.
6
m
1. _
=_
8
12
9
18
1
=_
4. _
a
2
15
3
5. _
=_
r
40
13
s
=_
7. _
24
16
10
25
13. _
=_
x
8
18
32
6
3
17. _
=_
4
75
21
8
2
15. _
=_
w
3
16
20
Course 3
14
6
11
l
40
t
12
12. _
=_
8
v
22
14. _
=_
5
15
=_
16. _
12
6
h
12
11. _
=_
k
18
3
15
9. _
=_
n
8
d
24
25
24
12
6
24
18. _
=_
z
4
f
2
36
1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
17
12
=_
10. _
8
16
b
6. _
=_
20
5
8. _
=_
44
36
8
52
34
9
16
36
11
g
2
3. _
=_
15
10
2. _
=_
x
24
NAME ________________________________________ DATE _____________ PERIOD _____
19
Fractions, Decimals, and Percents
Write each percent as a fraction in simplest form and as a decimal.
1. 12%
2. 125%
_3 ; 0.12
24
_
; 0.96
_
1 1 ; 1.25
25
4. 1.7%
3. 96%
25
4
5. 5.75%
17
_
; 0.017
6. 45%
_9 ; 0.45
23
_
; 0.0575
1,000
20
400
Write each decimal as a fraction in simplest form and as a percent.
7. 0.36
8. 1.94
_9 ; 36%
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
17
_
; 4.25%
_
1 47 ; 194%
25
10. 0.5
9. 0.0425
400
50
11. 0.85
_1 ; 50%
12. 5.2
_
17
_
; 85%
2
5 1 ; 520%
5
20
Write each fraction as a decimal and as a percent.
64
13. _
5
14. _
100
18
15. _
8
0.64; 64%
41
16. _
20
3
17. 4_
50
7
18. _
4
0.82; 82%
0.9; 90%
0.625; 62.5%
10
4.75; 475%
37
0.7; 70%
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
19
Fractions, Decimals, and Percents
Write each percent as a fraction in simplest form and as a decimal.
1. 225%
2. 6.25%
_
_1 ; 0.0625
2 1 ; 2.25
4
4. 62%
3. 46%
23
_
; 0.46
16
5. 12.5%
31
_
; 0.62
50
6. 80%
_4 ; 0.8
_1 ; 0.125
50
5
8
Write each decimal as a fraction in simplest form and as a percent.
7. 0.6
8. 8.5
_3 ; 60%
_
_7 ; 35%
8 1 ; 850%
5
2
11. 0.92
123
_
; 6.15%
20
12. 0.125
23
_
; 92%
2,000
_1 ; 12.5%
25
8
Write each fraction as a decimal and as a percent.
4
13. _
16
14. _
10
0.4; 40%
7
16. _
2
0.64; 64%
9
17. _
8
2.5; 250%
12
18. _
20
0.875; 87.5%
Course 3
1
15. 2_
25
100
0.45; 45%
38
0.12; 12%
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
10. 0.0615
9. 0.35
NAME ________________________________________ DATE _____________ PERIOD _____
20
Percent of a Number
Find each number. Round to the nearest tenth if necessary.
1. 55% of 274
2. 40% of 120
150.7
4. 42% of 64
48
$234.50
5. 18% of 95
26.9
7. 128% of 90
10. 8% of 95
6. 96% of 27
25.9
17.1
8. 180% of 24
115.2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3. 35% of $670
9. 72% of 168
121.0
43.2
11. 60% of 10
7.6
12. 350% of 20
6
70
Solve.
13. Carmen answered 96% of the
25 questions on her test correctly.
How many questions did she answer
correctly?
14. Kevin spent 75% of his money on new
clothes. If he had $125, how much did
he spend on clothes?
24 questions
$93.75
39
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
20
Percent of a Number
Find each number. Round to the nearest tenth if necessary.
1. 42% of 132
2. 15% of 84
55.4
3. 98% of 125
12.6
4. 200% of 30
60
7. 5% of 137
122.5
5. 1.6% of 225
6. 160% of 45
3.6
72
8. 40% of 2.5
6.9
9. 22.5% of 320
1
11. 90% of 84
26.9
12. 2% of 3
0.1
75.6
Solve.
13. Jasmine received 20% off her total
purchase at a store. If she spent $45.60,
how much was the discount?
14. Seventy percent of the students in
Mr. Harrison’s class earned an A on the
last test. If there are 30 students in the
class, how many earned an A?
$9.12
Course 3
21 students
40
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
10. 64% of 42
72
NAME ________________________________________ DATE _____________ PERIOD _____
21
Ratios and Rates
Write each ratio as a fraction in simplest form.
1. 4 busses for 80 students
2. 15 cats out of 39 pets
_1
_5
20
13
3. 6 pairs of jeans out of 10 pairs of pants
4. 10 roses in a bouquet of 15 flowers
_3
_2
5
3
5. 18 red jelly beans in a jar of 42 jelly
beans
6. 14 boys in a class of 28 students
_3
_1
7
2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Write each rate as a unit rate. Round to the nearest hundredth if
necessary.
7. 175 miles in 2.5 hours
8. $25 for 6 packages of light bulbs
70 mi
_
$4.17
_
1h
9. 100 meters in 15.5 seconds
1 package
10. $285 for 30 hours
6.45 m
_
$9.50
_
1s
1h
11. A grocery store sells three different sizes of
Container
orange juice. Which container is the better
A
buy? Explain.
B
Container C; Sample answer: Container A
costs about $0.059 per ounce, Container B
C
costs about $0.063 per ounce, and Container
C costs about $0.049 per ounce. Since $0.049
< $0.059 < $0.063, Container C is the better buy.
41
Size (oz)
Price ($)
64
3.75
80
5.00
128
6.25
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
21
Ratios and Rates
Write each ratio as a fraction in simplest form.
1. 4 red balloons out of 18 balloons
2. 20 out of 25 doctors agree
_2
_4
5
9
3. 18 out of 30 students prefer pepperoni
pizza
4. 0.25 cup soap in every 3 cups water
_3
_1
5
12
5. 16 yellow counters out of 30 counters
6. 10 red cars out of 50 total cars
_8
_1
5
15
Write each rate as a unit rate. Round to the nearest hundredth if
necessary.
8. 575 miles in 8.8 hours
$8.50
_
65.34 mi
_
1h
1 filter
9. 20 gallons in 4 days
10. $58 for 8 hours
5 gal
_
$7.25
_
1 day
1h
11. An online photo printing services offers
three different packages to print photos.
Which package is the better buy? Explain.
Package A; Sample answer: Package A
costs $0.11 per photo, Package B costs
$0.13 per photo, and Package C costs
$0.12 per photo. Since $0.11 < $0.12
< $0.13, Package A is the better buy.
Course 3
42
Package
Number of
Pictures
Price
($)
A
100
11.00
B
150
19.50
C
200
24.00
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
7. $25.50 for 3 air filters
NAME ________________________________________ DATE _____________ PERIOD _____
22
Absolute Value
Evaluate each expression.
1. ⎪-5⎥
5
18
5. ⎪-4⎥ + 5
4. ⎪26⎥
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3. ⎪-12⎥
2. ⎪18⎥
6. 16 + ⎪7⎥
26
9
7. ⎪-32⎥ - 18
8. 25 - ⎪-10⎥
14
15
10. 31 + ⎪-14⎥
45
13. ⎪14⎥ + ⎪-12⎥
26
16. ⎪15⎥ - ⎪-6⎥
9
12
11. ⎪40⎥ - 15
25
14. ⎪-8⎥ + ⎪-4⎥
12
17. ⎪-30⎥ - ⎪-16⎥
14
43
23
9. ⎪18⎥ + 18
36
12. ⎪-15⎥ - 8
7
15. ⎪-24⎥ + ⎪-10⎥
34
18. ⎪18⎥ - ⎪-9⎥
9
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
22
Absolute Value
Evaluate each expression.
1. ⎪-12⎥
2. ⎪54⎥
12
4. ⎪-22⎥ + 5
3. ⎪-18⎥
54
5. ⎪-40⎥ - 8
27
32
7. ⎪-18⎥ - 10
8. 41 + ⎪-18⎥
8
59
10. ⎪-28⎥ + ⎪20⎥
6. 15 + ⎪15⎥
30
9. ⎪-12⎥ - 9
3
11. ⎪-7⎥ + ⎪-1⎥
8
93
14. ⎪-27⎥ + ⎪-16⎥
39
12. ⎪98⎥ - ⎪-5⎥
43
15. ⎪32⎥ - ⎪-8⎥
24
Solve.
16. A football team gained 8 yards on one
play and lost 6 yards on another.
Which situation has the greater
absolute value? Explain.
Sample answer: Gaining 8 yards has
the greater absolute value. The play
that gained 8 yards went the greatest
distance.
Course 3
17. Megan earned $15 mowing the lawn.
She spent $20 on a new sweater. Which
situation has the greater absolute
value? Explain.
Sample answer: Spending $20 has the
greater absolute value. She spent more
money on the sweater than she earned.
44
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
48
13. ⎪-49⎥ - ⎪-10⎥
18
NAME ________________________________________ DATE _____________ PERIOD _____
23
Adding Integers
Add.
1. -8 + (-9)
2. 6 + 7
3. -15 + 20
13
-17
4. -12 + 4
5. 26 + (-3)
23
-8
7. 25 + 43
8. -25 + 43
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
68
18
11. 30 + (-30)
-68
0
-17
16. 46 + (-57)
-11
19. -99 + (-1)
-100
6. -17 + (-3)
-20
9. 25 + (-43)
10. -25 + (-43)
13. -25 + 8
5
14. -2 + 15
-18
12. -55 + 22
-33
15. -1 + (-19)
13
17. -50 + 50
-20
18. -99 + 1
0
20. -87 + (-13)
-100
45
-98
21. -62 + 125
63
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
23
Adding Integers
Add.
1. 25 + (-12) + 12
25
4. -9 + 4 + (-11)
-16
7. -22 + (-8) + 6
-24
10. -24 + (-6) + (-31)
13. -18 + 4 + (-2) + 12
-4
16. -10 + (-13) + 6 + 7
-10
19. 15 + 23 + 25 + 17
80
Course 3
4
5. -16 + 52 + 16
52
8. -7 + (-3) + (-15)
-25
11. 5 + (-1) + (-12) + 8
3. 17 + (-2) + 7
22
6. 12 + (-20) + 5
-3
9. 27 + (-13) + (-27)
-13
12. -20 + 5 + (-7) + 9
0
-13
14. 13 + (-6) + (-10) + (-8)
15. -1 + (-2) + (-8) + (-6)
-11
-17
17. -44 + 33 + 11 + 5
5
20. -25 + (-4) + (-6) +
(-25)
-60
46
18. 75 + (-25) + 1 + (-50)
1
21. -7 + (-34) + (-13) +
(-16)
-70
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
-61
2. 10 + (-7) + 1
NAME ________________________________________ DATE _____________ PERIOD _____
24
Subtracting Integers
Subtract.
1. 15 - 11
2. 7 - 13
4
-6
4. 20 - (-25)
5. 45 - (-32)
45
77
7. -31 - (-19)
8. 29 - 10
10. 16 - 20
11. -23 - (-15)
-4
13. -18 - 2
-8
14. -3 - 10
-20
16. 9 - 1
17. 1 - 9
19. -13 - (-8)
-5
6. -18 - (-27)
9
-7
12. 12 - (-17)
29
15. -22 - (-11)
-13
8
-13
9. -6 - 1
19
-12
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
3. -8 - 5
-11
18. 25 - (-30)
-8
20. -7 - 7
55
21. -7 - (-7)
-14
47
0
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
24
Subtracting Integers
Subtract.
1. 9 - 19
2. 20 - 3
17
-10
4. -22 - 35
5. 16 - (-8)
8. 23 - 11
11. -31 - (-21)
-10
14. -8 - 18
-41
16. 15 - 5
17. 5 - 15
19. -29 - (-22)
-7
Course 3
-30
12. 9 - (-2)
11
15. -34 - (-13)
-26
10
-8
-21
18. 17 - (-20)
-10
20. -1 - 1
37
21. -1 - (-1)
-2
48
0
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
-4
13. -27 - 14
6. -16 - (-8)
9. -15 - 15
12
-4
10. 8 - 12
-24
24
-57
7. -6 - (-2)
3. -13 - 11
NAME ________________________________________ DATE _____________ PERIOD _____
25
Adding and Subtracting Integers
Add or subtract.
1. 12 + 20
2. 17 - 11
3. -33 + 22
32
4. 18 - 23
6
5. -10 + (-8)
-5
7. 16 - 17
8
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
11. -3 - (-3)
16. 7 - 13
14. -20 + 15
19. 44 - 55
6
15. 14 - 5
9
18. -29 - 1
-30
20. -36 - (-60)
-11
12. 3 - (-3)
-5
17. -29 + (-1)
-6
31
0
-6
-5
9
9. 24 - (-7)
-1
13. 15 + (-20)
6. 14 + (-5)
-18
8. 3 - (-5)
10. -3 + (-3)
-11
24
49
-30
21. 12 - 14
-2
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
25
Adding and Subtracting Integers
Add or subtract.
1. 6 + 9
2. 24 - 16
3. -21 + 14
15
4. 9 - 18
8
5. -25 + (-15)
-9
7. 3 - 4
-2
Course 3
14. -14 + 4
64
15. 21 - 10
11
-10
18. -14 - 3
-37
20. -28 - (-40)
19. 17 - 19
12. 42 - (-22)
-20
17. -35 + (-2)
-1
22
12
50
-17
21. 18 - 21
-3
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
16. 8 - 9
9. 19 - (-3)
11. -10 - 10
-20
-10
13
10
-1
13. 4 + (-14)
6. 17 + (-4)
-40
8. 1 - (-9)
10. -10 + (-10)
-7
NAME ________________________________________ DATE _____________ PERIOD _____
26
Multiplying Integers
Multiply.
1. 3(-7)
3. 5(6)
2. -8(7)
-21
5. (-3)(-3)
4. -2(-2)
4
7. 12(-6)
9
15
13. 5(-2)(-4)
40
16. -1(-7)(-9)
-63
19. (-4)(-4)(-4)
-64
40
9. -1(13)
-77
11. (-7)(-7)
10. -1(-15)
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
6. -5(-8)
8. -7(11)
-72
30
-56
-13
12. 2(-3)(4)
49
14. -3(-5)(-4)
-24
15. -2(22)
-60
17. -1(-4)(-4)
-16
20. -1(3)(3)(3)
-27
51
-44
18. 3(2)(2)
12
21. 3(-2)(-2)(-2)
-24
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
26
Multiplying Integers
Multiply.
1. 5(-2)
3. 12(11)
2. -9(8)
-10
5. (-5)(-5)
4. -6(-6)
36
7. 8(-2)
25
-90
13. 6(-2)(-5)
60
16. -1(-6)(-7)
-42
19. (-5)(-5)(-5)
-125
-23
12. 3(-6)(5)
81
14. -2(-8)(-3)
-90
15. -3(13)
-48
17. -1(-2)(-2)
-4
20. -1(5)(5)(5)
-125
52
-39
18. 4(3)(3)
36
21. -1(-6)(-6)(-6)
216
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
30
30
9. -1(23)
11. (-9)(-9)
10. -1(-30)
Course 3
6. -10(-3)
8. -9(10)
-16
132
-72
NAME ________________________________________ DATE _____________ PERIOD _____
27
Dividing Integers
Divide.
1. -25 ÷ 5
2. -32 ÷ (-4)
8
-5
12
4. _
5. 20 ÷ (-2)
-3
-4
7. -45 ÷ (-9)
8. 54 ÷ (-9)
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
12
2
-3
19. 92 ÷ (-23)
-4
6
-8
-42
9. _
-2
21
12. 51 ÷ (-3)
-19
-17
14. 100 ÷ (-25)
15. -18 ÷ (-1)
-4
18
-26
16. -87 ÷ 29
-48
6. _
-6
11. -95 ÷ 5
-52
13. _
8
-10
5
10. 144 ÷ 12
3. 64 ÷ 8
135
17. _
-99
18. _
45
-9
3
20. -1 ÷ (-1)
1
53
11
21. -250 ÷ (-125)
2
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
27
Dividing Integers
Divide.
1. 14 ÷ 7
2. -35 ÷ (-7)
2
-64
4. _
5
5. 98 ÷ (-49)
32
-2
7. -75 ÷ (-3)
8. 25 ÷ (-5)
-5
11. -27 ÷ 9
-3
-1
16. -112 ÷ 4
-52
Course 3
18
-45
9. _
-15
3
-7
15. -5 ÷ (-1)
-9
250
17. _
5
18. -8 ÷ (-8)
-50
-28
19. 156 ÷ (-3)
-5
12. 49 ÷ (-7)
14. 63 ÷ (-7)
3
-90
6. _
-5
-34
20. _
1
21. -136 ÷ (-4)
-17
2
54
34
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
13
-3
13. _
-9
-2
25
10. 169 ÷ 13
3. -81 ÷ 9
NAME ________________________________________ DATE _____________ PERIOD _____
28
Multiplying and Dividing Integers
Multiply or divide.
2. -120 ÷ (-60)
1. -25(4)
2
-100
2
96
7. -38 ÷ (-19)
70
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
-3
30
11. -7(-11)
15
89
13. _
77
-89
16. -111 ÷ 3
14
12. -13(5)
14. 120 ÷ (-8)
-1
-14
-42
9. _
8. -15(-2)
2
10. 225 ÷ 15
6
-28
6. _
5. 14(5)
4. -6(-16)
3. 18 ÷ 3
-15
144
17. _
-65
15. -4(-6)(2)
48
18. -3(-2)(-2)
3
-37
48
-12
19. 117 ÷ (-13)
20. -3(-5)(-7)
21. -(6) ÷ (-3)
-9
-105
55
2
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
28
Multiplying and Dividing Integers
Multiply or divide.
1. -135 ÷ (-9)
3. 9(-9)
2. -8(-4)
15
124
4. _
32
5. 16(6)
-4
6. -72 ÷ (-6)
96
-31
8. 145 ÷ (-5)
7. -1(91)
-91
10. 4(-13)
-13
Course 3
-1
-11
-96
17. _
1
15. -11(-2)(-3)
-66
18. 5(-3)(-3)
-8
12
20. 2(-5)(10)
-100
56
45
21. -(8) ÷ 2
-4
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
-140
19. 143 ÷ (-11)
7
12. -11 ÷ (-11)
14. 55 ÷ (-5)
-22
-7
9. _
36
-52
16. -110 ÷ 5
12
-29
11. -12(-3)
13. 5(-4)(7)
-81
NAME ________________________________________ DATE _____________ PERIOD _____
29
Identifying Properties
Identify the property shown by each equation.
1. 5 · 18 = 18 · 5
2. (9 + 5)3 = 9(3) + 5(3)
Distributive
Commutative (×)
3. 10 + (-10) = 0
4. 17 + (3 + 29) = (17 + 3) + 29
Inverse (+)
Associative (+)
5. 0 + 18 = 18
6. -5 · 1 = 1 · (-5)
Identity (+)
Commutative (×)
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
7. -20 · 1 = -20
8. 19(16) + 19(4) = 19(16 + 4)
Distributive
Identity (×)
2 _
9. _
·3=1
3
10. 0 + 75 = 75 + 0
2
Inverse (×)
11. -50 + 50 = 0
Commutative (+)
9 _
12. _
·4=1
4
9
Inverse (+)
13. 25 · (4 · 35) = (25 · 4) · 35
Inverse (×)
14. 0 + 21 = 21
Associative (×)
Identity (+)
57
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
29
Identifying Properties
Identify the property shown by each equation.
1. 12(32) + 12(8) = 12(32 + 8)
2. -19 + 19 = 0
Distributive
Inverse (+)
3. 1 · (4 + 6) = (4 + 6) · 1
4. 97 + (3 + 35) = (97 + 3) + 35
Commutative (×)
Associative (+)
5 _
6. _
·4=1
5. 0 + (7 · 3) = (7 · 3)
4
Identity (+)
Inverse (×)
7. -8 · 1 = 1 · (-8)
8. 0 + (10 · 3) = (10 · 3) + 0
Commutative (+)
10. (7 · 4) + 6 = 6 + (7 · 4)
Associative (×)
11. (13 + 9) + 0 = (13 + 9)
Commutative (+)
12. 48(5) + 48(15) = 48(5 + 15)
Distributive
Identity (+)
7
2
13. -_
· -_
=1
7
( 2)
14. (4 + 14) · 1 = (4 + 14)
Inverse (×)
Course 3
Identity (×)
58
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Commutative (×)
9. 20 · (5 · 87) = (20 · 5) · 87
5
NAME ________________________________________ DATE _____________ PERIOD _____
30
Using Properties
Simplify each expression. Tell which property you used.
1. 8 · 38
2. 54 + (6 + 49)
304; Distributive
109; Associative (+)
3. 22(13)
4. 1 · (6 · 9)
286; Distributive
54; Identity (×)
3
2
5. _
· 17 · _
3
6. 15(18) + 15(2)
2
300; Distributive
17; Commutative (×), Inverse (×),
Identity (×)
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
7. (29 + 75) + 25
8. 10 + 63 + 90
129; Associative (+)
9. 0 + (33 + 9)
163; Commutative (+)
10. 12 × 105
1,260; Distributive
42; Identity (+)
11. (87 × 5) × 20
12. -21 + 77 + 21
8,700; Associative (×)
13. 4 × 32 × 50
77; Commutative (+), Inverse (+)
3 _
7
14. 8 + _
+ (-8)
( 7 )( 3 )
6,400; Commutative (×)
1; Commutative (+), Inverse (+)
Inverse (×), Identity (+)
59
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
30
Using Properties
Simplify each expression. Tell which property you used.
2. 7(92)
1. 43 + (7 + 39)
644; Distributive
89; Associative (+)
9
10
· 18 · _
4. _
3. (17 + 18) · 1
10
35; Identity (×)
18; Commutative (×), Inverse (×),
Identity (×)
5. 24(16) + 24(4)
6. 27 + 82 + (-27)
480; Distributive
82; Commutative (+), Inverse (+),
Identity (+)
7. (57 + 85) + 15
8. 20 + 49 + 80
149; Commutative (+)
10. 0 + (15 + 6)
1,236; Distributive
11. (98 × 4) × 25
21; Identity (+)
12. -36 + 125 + 36
9,800; Associative (×)
5
7
13. _
· 29 · _
(7
)
5
125; Commutative (+), Inverse (+),
Identity (+)
14. 5 × 16 × 40
29; Commutative (×), Associative (×),
Inverse (×), Identity (×)
Course 3
3,200; Commutative (×)
60
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
157; Associative (+)
9. 12(103)
9
NAME ________________________________________ DATE _____________ PERIOD _____
31
One-Step Equations
Solve each equation. Check your solution.
1. 17 + p = -33
2. 12 = w - 8
20
-50
m
4. _
= -10
5. n + (-39) = 55
3
x
8. _
=6
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
-9
-t
11. _
=6
8
13. 16 = k + 5
14. g - 10 = -4
7
-35
-8
c
12. - _
=5
4
-24
h
= -5
16. _
25
-30
5
11
6. 18 = q - 7
9. 14 + c = 6
-5
10. a - 6 = -1
6
94
-30
7. 6b = -54
3. 5x = 30
-40
15. 22d = -66
6
-3
17. -3 + f = 1
18. -6 = g - 4
4
-2
61
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
31
One-Step Equations
Solve each equation. Check your solution.
1. -9 = -12 + w
2. -11 = t - 5
3
p
4. _ = -20
-4
5. 5 + z = 13
6. k - 9 = -6
8
3
r
8. _
= -3
11. 9c = -72
10
13. 8 = p + 7
-8
14. j - 15 = -22
1
j
16. _ = 9
-7
17. h + (-9) = -19
8
72
14
-21
-10
62
c
12. _
= -5
-6
30
15. 33y = -99
-3
18. r - 2 = -5
-3
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
10. 1 = z - 9
Course 3
9. 9 = h + -5
7
-6
9
-6
80
7. 4t = -24
3. 2w = 18
NAME ________________________________________ DATE _____________ PERIOD _____
32
Two-Step Equations
Solve each equation. Check your solution.
1. 2x + 4 = 10
3
4. 9d - 5 = 4
1
n
7. 15 - _
= 13
7
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
14
k
10. _
+ 8 = 12
6
24
13. 9 + 3a = -3
-4
16. -12 + 3p = 3
5
2. 3x - 13 = 2
3. -8j - 7 = 57
5
5. 6 - 3w = -27
-8
q
8
6. -4 = _ - 19
11
8. 44 = -4 + 8p
120
9. 21 - h = -32
6
11. -19 = 11b - (-3)
53
x
12. 6 = 20 + _
3
-2
14. 2x - 8 = 10
-42
m
15. _
- 6 = 10
4
9
17. -18 = 6a - 6
-2
63
64
t
18. _
+ 11 = 23
-3
-36
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
32
Two-Step Equations
Solve each equation. Check your solution.
1. 3 + 2v = 11
k
2. 16 = _
- 11
3
4
4. 15 - 4c = -21
81
5. 5a + 3 = 28
9
n
7. 20 = _
+ 12
5
-12
13. 23 - 2s = 41
-9
c
16. _
- 20 = -1
4
76
Course 3
6. 3m + 15 = 27
8. 25 = 2d - 9
4
9. -2h + 1 = 7
17
g
2
11. -16 = _ - 7
-3
12. -7 - 8p = 17
-18
14. 5a - 3 = -23
-4
17. 4w - 18 = -34
-4
64
-3
b
15. _
- 6 = -8
4
-8
18. 4d + 9 = 25
4
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
-6
8
5
40
r
10. _
+1=3
3. -6g - 12 = -60
NAME ________________________________________ DATE _____________ PERIOD _____
33
Graphing Inequalities
Graph each inequality on a number line.
1. x > -3
2. 2 > n
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
-3 -2 -1 0 1 2 3 4 5 6 7
3. y ≤ 4
4. m < -2
-1 0 1 2 3 4 5 6 7 8 9
-7
5. q ≥ 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
-1
1
3
-6 -5 -4 -3 -2 -1 0 1 2 3 4
7. b ≤ -7
-10
8. 18 > s
-8
-6
-4
-12
13 14 15 16 17 18 19 20 21 22 23
-2
9. k ≤ -9
-14
-3
6. -1 ≤ a
-4 -3 -2 -1 0 1 2 3 4 5 6
-12
-5
10. 9 < t
-10
-8
-6
4 5 6 7 8 9 10 11 12 13 14
-4
11. b ≥ 16
12. d < 10
11 12 13 14 15 16 17 18 19 20 21
5 6 7 8 9 10 11 12 13 14 15
65
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
33
Graphing Inequalities
Graph each inequality on a number line.
1. x ≥ 70
2. g < 40
65 66 67 68 69 70 71 72 73 74 75
35 36 37 38 39 40 41 42 43 44 45
3. y ≤ 28
4. c > 18
23 24 25 26 27 28 29 30 31 32 33
13 14 15 16 17 18 19 20 21 22 23
5. d ≥ 5
6. -25 < b
0 1 2 3 4 5 6 7 8 9 10
-30
9. m ≥ -24
-27
-22
-20
31 32 33 34 35 36 37 38 39 40 41
10. 15 > v
-25
-23
-21
10 11 12 13 14 15 16 17 18 19 20
-19
11. c < 63
12. g ≥ 0
58 59 60 61 62 63 64 65 66 67 68
Course 3
-24
8. 36 < t
6 7 8 9 10 11 12 13 14 15 16
-29
-26
-5 -4 -3 -2 -1 0 1 2 3 4 5
66
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
7. s ≥ 11
-28
NAME ________________________________________ DATE _____________ PERIOD _____
34
One-Step Inequalities
Solve each inequality. Graph the solution set on a number line.
1. m + 9 < 14
2. k + (-5) < -12
m <5
k < -7
0 1 2 3 4 5 6 7 8 9 10
-12
3. -15 < v - 1
-17
-15
-13
-11
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
s ≤ 14
-24
-22
-20
9 10 11 12 13 14 15 16 17 18 19
-18
m
8. _
> 24
-3
p < 13
m < -72
8 9 10 11 12 13 14 15 16 17 18
9. -18 < 3b
-77
-7
-5
-3
-1
-71
-69
-67
-30
-28
-26
-24
-22
-20
-31
-29
-27
-25
w
12. _
< -5
5
6
a < -25
-28
-73
k ≤ -25
a
11. -5 > _
-30
-75
10. -5k ≥ 125
b > -6
-9
-2
6. 18 ≥ s - (-4)
7. 6p < 78
-11
-4
49 50 51 52 53 54 55 56 57 58 59
-9
r > -23
-26
-6
f ≥ 54
5. r + 8 > -15
-28
-8
4. -7 + f ≥ 47
v > -14
-19
-10
w < -30
-26
-24
-22
-20
-35
67
-33
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
34
One-Step Inequalities
Solve each inequality. Graph the solution set on a number line.
1. s - 14 > 12
2. m + 18 < 40
s > 26
m < 22
21 22 23 24 25 26 27 28 29 30 31
17 18 19 20 21 22 23 24 25 26 27
3. h + 20 > -13
4. x - 12 > 52
h > -33
-38
-36
x > 64
-34
-32
-30
59 60 61 62 63 64 65 66 67 68 69
-28
5. p + (-3) > -7
6. 12 ≥ r + 7
r ≤5
p > -4
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
0 1 2 3 4 5 6 7 8 9 10
-8
s ≥3
h > 32
27 28 29 30 31 32 33 34 35 36 37
-2 -1 0 1 2 3 4 5 6 7 8
d
9. _
≥ -3
10. 12k < 36
d ≤6
k <3
-2
1 2 3 4 5 6 7 8 9 10 11
n
11. 12 ≤ _
-2 -1 0 1 2 3 4 5 6 7 8
k
12. _
≥ -6
7
-4
n ≤ -48
-53
Course 3
-51
k ≥ -42
-49
-47
-45
-43
-47
68
-45
-43
-41
-39
-37
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
h
8. _
< -4
7. -8s ≤ -24
NAME ________________________________________ DATE _____________ PERIOD _____
35
Two-Step inequalities
Solve each inequality. Graph the solution set on a number line.
1. 3a - 6 ≥ 6
2. 2g - 7 < -1
a ≥4
g <3
-1 0 1 2 3 4 5 6 7 8 9
-2 -1 0 1 2 3 4 5 6 7 8
3. -10 + 2m > 8
4. 4 - 2b ≤ -8
m >9
b ≥6
4 5 6 7 8 9 10 11 12 13 14
1 2 3 4 5 6 7 8 9 10 11
5. 5w - 12 > 3
6. -4 - 5t ≥ 6
w >3
t ≤ -2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
-2 -1 0 1 2 3 4 5 6 7 8
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
q
7. _ - 6 > -8
8. 2g - 3 > -9
2
q > -4
g > -3
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
d
9. 10 - _
≥5
4
10. 15 > 6y + 3
d ≤ 20
y <2
15 16 17 18 19 20 21 22 23 24 25
-3 -2 -1 0 1 2 3 4 5 6 7
11. 2k - 6 < 4
12. 3s - 4 ≤ 8
k <5
s ≤4
0 1 2 3 4 5 6 7 8 9 10
-1 0 1 2 3 4 5 6 7 8 9
69
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
35
Two-Step inequalities
Solve each inequality. Graph the solution set on a number line.
1. 18 - 7f ≥ 4
2. 13 + 3p < 7
f ≤2
p < -2
-3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
3. 5t - 14 > -24
4. 3 + 4d ≤ 15
t > -2
d ≤3
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
-2 -1 0 1 2 3 4 5 6 7 8
5. 7 > 5 - 2x
6. -9m -9 ≤ 9
x > -1
m ≥ -2
-6 -5 -4 -3 -2 -1 0 1 2 3 4
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
8. 2g - 16 ≤ -10
4
g ≤3
x > -20
-25
-23
-21
-19
-17
-2 -1 0 1 2 3 4 5 6 7 8
-15
9. 8z + 15 > -1
10. 14e + 14 ≤ -28
z > -2
e ≤ -3
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
11. 92 - 16b < 12
12. 4k + 12 ≥ 20
b >5
k ≥2
0 1 2 3 4 5 6 7 8 9 10
Course 3
-3 -2 -1 0 1 2 3 4 5 6 7
70
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
x
7. - _
+2<7
NAME ________________________________________ DATE _____________ PERIOD _____
36
Mean, Median, Mode, and Range
Find the mean, median, mode, and range of each set of data. Round
to the nearest tenth if necessary.
1. 16, 12, 20, 15, 12
2. 42, 38, 56, 48, 43, 43
15, 15, 12, 8
45, 43, 43, 14
3. 8, 3, 12, 5, 2, 9, 3
4. 85, 75, 93, 82, 73, 78
6, 5, 3, 10
81, 80, no mode, 20
5. 25, 32, 38, 27, 35, 25, 28
6. 112, 103, 121, 104
30, 28, 25, 13
110, 108, no mode, 18
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
7. 57, 63, 53, 67, 71, 67
8. 21, 25, 20, 28, 26
63, 65, 67, 18
9. 57, 42, 86, 76, 42, 57
24, 25, no mode, 8
10. 215, 176, 194, 223, 202
60, 57, 42, 44
11. 18, 21, 22, 19, 22, 26, 24, 18, 24, 26
202, 202, no mode, 47
12. 10, 21, 31, 41, 26, 32, 38, 42, 42, 44, 55
22; 22; 18, 22, 24, and 26; 8
13. 1, 5, 9, 1, 2, 4, 8, 2
34.7, 38, 42, 45
14. 46, 54, 66, 54, 50, 66
4, 3, 1 and 2, 8
56, 54, 54 and 66, 20
71
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
36
Mean, Median, Mode, and Range
Find the mean, median, mode, and range of each set of data. Round
to the nearest tenth if necessary.
1. 82, 79, 93, 91, 85
2. 23, 32, 19, 27, 41, 21, 26, 32, 23
86, 85, no mode, 14
27.1, 26, 23, and 32, 22
3. 8, 11, 13, 11, 12, 14, 11, 12, 14, 11, 12
4. 0.8, 0.2, 0.5, 0.3, 0.3, 0.4, 0.5, 0.4, 0.3,
0.4, 0.5, 0.6, 0.2, 0.3
11, 12, 11, 6
0.4, 0.4, 0.3, 0.6
5. 23, 26, 35, 28, 21, 24, 30, 39, 35, 25, 38
6. 172, 198, 181, 182, 193, 171, 179, 186,
181
29.5, 28, 35, 18
182.6, 181, 181, 27
7. 17, 54, 37, 86, 24, 69, 77, 92, 21
8. 73, 61, 89, 67, 82, 54, 93, 102, 59, 75,
83
9. 44, 37, 23, 35, 61, 95, 49, 96
76.2, 75, no mode, 48
10. 271, 491, 181, 193, 411, 491, 361, 318
55, 46.5, no mode, 73
11. 42, 23, 31, 27, 32, 48, 37, 25, 19, 26, 30,
41, 32, 29
339.6, 339.5, 491, 310
12. 124, 327, 215, 278, 109, 225, 186, 134,
251, 308, 179
31.6, 30.5, 32, 29
13. 1.5, 1.8, 1.6, 1.4, 2.5, 1.7, 1.6, 1.5, 1.6,
1.7
212.4, 215, no mode, 218
14. 17, 24, 19, 16, 15, 28, 32, 24, 19, 17, 26,
25, 23
1.7, 1.6, 1.6, 1.1
Course 3
21.9, 23, 17 and 19, 17
72
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
53, 54, no mode, 75
NAME ________________________________________ DATE _____________ PERIOD _____
37
Graphing Points on a Coordinate Plane
Name the ordered pair for each point graphed.
y
1.
y
2.
"
%
A(2, 4),
B(-3, -1)
x
0
C(1, -1),
D(-1, 3)
x
0
#
$
y
3.
y
4.
&
E(0, 3),
F(3, -4)
G(-3, 3),
H(0, 0)
(
x
0
0
x
)
'
5.
6.
y
I(4, 2),
J(-4, 1)
*
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
+
y
K(-3, 0),
L(0, -4)
,
x
0
x
0
y
7.
y
8.
1
M(-3, -2),
N(3, -3)
2
x
0
.
P(-2, 4),
Q(2, 0)
x
0
/
9.
y
10.
4
y
8
S(4, 4),
T(-4, -4)
0
U(4, -1),
W(-1, 4)
x
0
6
x
5
73
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
37
Graphing Points on a Coordinate Plane
Graph each ordered pair.
y
1. A(4, 3),
B(-2, 0)
y
2. C(3, -1),
D(-4, 1)
"
%-
#-
x
0
x
0
$-
y
3. E(0, -4),
F(3, 2)
y
4. G(-2, -3),
H(2, 1)
)
x
0
'-
&-
(--
y
5. I(0, 0),
J(-3, -3)
x
0
y
6. K(1, 4),
L(-2, -4)
,
*
---
+--
y
7. M(0, -2),
N(4, 4)
x
0
y
8. P(3, 0),
Q(1, -1)
/
1
x
0
2-
.-
y
9. S(2, 2),
T(3, -4)
y
10. U(0, 1),
W(1, 0)
4
0
6
x
0
5-
Course 3
x
0
74
8
x
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
x
0
NAME ________________________________________ DATE _____________ PERIOD _____
38
Line Plots
Display each set of data in a line plot.
2. points scored by a player in each
basketball game: 8, 10, 5, 9, 12, 14, 5,
6, 3, 7, 0, 1, 14, 16, 20, 2, 5, 10, 18, 0, 6
1. ages in years of customers in a store:
15, 24, 16, 16, 24, 19, 22, 24, 25, 16, 20,
15, 24
"HFPG$VTUPNFST
×
× ×
× ×
× ×
×
1PJOUT4DPSFE
×
×
×
× ×
×
×
××
×
×
×××× ×××××× × × × × ×
0
14 15 16 17 18 19 20 21 22 23 24 25 26
×
× ×
×× ××× ×
70
75
85
80
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
65
75
×
×
×
× ×
× × × × ×
× ×
× ×
90
95
0 1 2 3 4 5 6 7 8 9 10
×
×
××
×××
70
10 12 14 16 18 20
×
×
×
×
×
×
××
××
×
80
85
The line plot shows the number
of home runs hit by the Major
League Baseball home run leader
for certain years.
×
30
×
6. number of stories in buildings: 43, 36,
42, 29, 54, 42, 32, 34, 52, 40, 32, 32
)JHI5FNQFSBUVSFTž'
60
8
×
×
×
5. high temperatures: 75, 81, 75, 65, 76,
81, 77, 80, 65, 65, 80, 80, 76, 85, 66, 75,
80, 75
×
×
××
6
/VNCFSPG1FUT
5FTU4DPSFT
×
4
4. number of pets: 0, 1, 3, 4, 0, 2, 1, 0, 1,
1, 10, 0, 1, 5, 2
3. test scores: 78, 95, 80, 85, 70, 88, 95,
90, 95, 85, 88, 79, 75, 90, 85, 82, 76, 75,
82, 80
×
×
×
2
/VNCFSPGTUPSJFTJO#VJMEJOHT
×
×
× ×××
25
30
35
×
× ××
40
××
45
50
55
.-#)PNF3VOTCZ)PNF3VO-FBEFS
×
× ×××
× ××× ×
×
× ×× ×××× ××
× × ×××××××××××
××××××××××××××××× × ×××
35
40
50
55
60
×
×
65
70
×
75
8. What is the range of the data?
7. What number of home runs occurs the
most often? How many players hit this
many home runs?
49 home runs; 6 players
9. Find the mean, median, and mode of
the data. Round to the nearest tenth if
necessary.
47.5 home runs; 47 home runs;
49 home runs
45
×
42 home runs
10. How many of the players hit 50 or more
home runs?
17 players
75
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
39
Circle Graphs
Construct a circle graph for each set of data.
1.
Color
Percent of
Students
Red
Blue
Green
Yellow
Purple
Other
19
17
12
7
35
10
Favorite Colors
0UIFS
3FE
1VSQMF
#MVF
(SFFO
:FMMPX
2.
Topping
Number of
Students
Cheese
Pepperoni
Sausage
Mushroom
Peppers
Other
95
75
70
50
30
10
Favorite Pizza Toppings
0UIFS
1FQQFST
$IFFTF
.VTISPPN
4BVTBHF
Miguel‘s Evening Activities
5FMFQIPOF
$IPSFT
&BUJOH
)PNFXPSL
5FMFWJTJPO
3. How much time does he spend doing
homework?
4. How does the amount of time he
spends watching television compare
with the time he spends eating?
1.35 h or 1 h 21 min
It is about double.
5. How much time does Miguel spend on
his chores?
6. How much more time does he spend on
homework than on the telephone?
0.7 h or 42 minutes
Course 3
27 min
76
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
The circle graph shows how Miguel divides the
5 hours he is home in the evening between
different activities.
1FQQFSPOJ
NAME ________________________________________ DATE _____________ PERIOD _____
40
Stem-and-Leaf Plots
Display each set of data in a stem-and-leaf plot.
1.
2.
Test Scores
90
73
95
80
76
75
84
80
99
72
81
88
79
76
86
40
50
57
Test Scores
Stem Leaf
7 235669
8 001468
9 599
7 2 = 72 points
Stem
4
5
6
3. costs in dollars of shoes: 50, 65, 80, 96,
54, 70, 76, 80, 60, 75, 78, 59
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Height of Students (in.)
51
57
55
58
51
48
57
57
60
55
41
57
Heights
Leaf
018
01155777778
0
4 0 = 40 in.
4. number of books in different
collections: 88, 90, 102, 104, 67, 109,
97, 98, 86, 88, 86, 100, 103, 99, 90, 106
Shoe Prices($)
Stem Leaf
5 049
6 05
7 0568
8 00
9 6
5 0 = $50
Books in Collections
Stem Leaf
6 7
7
8 6688
9 00789
10 0 2 3 4 6 9
6 7 = 67 books
The stem-and-leaf plot shows the
number of people to attend different
screenings of a movie.
Movie Attendance
Stem
7
8
9
10
11
12
Leaf
288
68
667
0359
29
13789
7 2 = 72 people
6. What is the range of the data?
5. Find the mean, median, and mode of
the data. Round to the nearest tenth if
necessary.
57 people
103.5 people, 103 people,
78 and 96 people
77
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
41
Histograms
Display each set of data in a histogram.
1.
Weekly Exercise Time
Weekly Exercise Time
Tally
9
Frequency
0–2
8
3–5
4
6–8
2
9–11
3
8
Number of People
Time (h)
7
6
5
4
3
2
1
0
0–2
3–5
6–8
9–11
Time (h)
Weekly Grocery Bill
Weekly Grocery Bill
Amount ($)
14
Tally Frequency
0–49
6
50–99
12
100–149
8
150–199
4
200–249
2
12
Number of Families
2.
10
8
6
4
2
0–49
50–99 100–149 150–199 200–249
Amount ($)
The histogram shows the ages of
Daytona 500 winners.
Ages of Daytona 500 Winners
16
Number of Drivers
14
12
10
8
6
4
2
0
25–29 30–34 35–39 40–44 45–49 50–54
Age (years)
3. How many drivers were 35 or older
when they won?
4. What percent of the drivers were 40 or
over when they won? Round to the
nearest tenth.
26 drivers
Course 3
32.5%
78
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
0
NAME ________________________________________ DATE _____________ PERIOD _____
42
Measurement: The Customary System
Complete.
?
2. 4 gallons = ______________
pints
?
1. 72 inches = ______________
feet
6
32
?
3. 48 ounces = ______________
pounds
?
4. 6 yards = ______________
inches
3
216
?
5. 88 fluid ounces = ______________
cups
?
6. 18 feet = ______________
yards
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
11
6
?
7. 7 tons = ______________
pounds
?
8. 40 pints = ______________
quarts
14,000
?
9. 21,120 feet = ______________
miles
20
?
10. 2 gallons = ______________
fluid ounces
4
?
11. 78 inches = ______________
feet
256
?
12. 12 cups = ______________
gallons
6.5
0.75
79
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
42
Measurement: The Customary System
Complete.
?
1. 40 quarts = ______________
gallons
?
2. 4 miles = ______________
feet
10
21,120
?
3. 8 tons = ______________
ounces
?
4. 256 fluid ounces = ______________
gallons
256,000
2
?
5. 2 miles = ______________
inches
?
6. 96,000 ounces = ______________
tons
126,720
3
?
8. 216 inches = ______________
yards
32
?
9. 8 quarts = ______________
fluid ounces
6
?
10. 2 miles = ______________
feet
256
?
11. 2 tons = ______________
ounces
10,560
?
12. 64 cups = ______________
gallons
64,000
Course 3
4
80
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
?
7. 2 gallons = ______________
cups
NAME ________________________________________ DATE _____________ PERIOD _____
43
Measurement: The Metric System
Complete.
?
1. 5 m = ______________
cm
?
2. 1,200 g = ______________
kg
500
1.2
?
3. 750 mL = ______________
L
?
4. 300 mm = ______________
cm
0.75
30
?
5. 23 kL = ______________
L
?
6. 62,500 mg = ______________
g
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
23,000
62.5
?
7. 450 cm = ______________
m
?
8. 1,100 L = ______________
kL
4.5
?
9. 15 kg = ______________
mg
1.1
?
10. 10,000 mL = ______________
kL
15,000,000
?
11. 8,235 cm = ______________
km
0.01
?
12. 320,000 mm = ______________
km
0.08235
0.32
81
Course 3
NAME ________________________________________ DATE _____________ PERIOD _____
43
Measurement: The Metric System
Complete.
?
2. 6,000 grams = ______________
kilograms
?
1. 10 meters = ______________
centimeters
1,000
6
?
3. 850 milliliters = ______________
liters
?
4. 600 millimeters = ______________
centimeters
0.85
60
?
5. 46 kiloliters = ______________
liters
?
6. 42,500 milligrams = ______________
grams
46,000
42.5
?
8. 2,200 liters = ______________
kiloliters
9
2.2
?
9. 30 kilograms = ______________
milligrams
?
10. 50,000 milliliters = ______________
kiloliters
30,000,000
0.05
?
11. 6,250 centimeters = ______________
kilometers
?
12. 640,000 millimeters = ______________
kilometers
0.0625
Course 3
0.64
82
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
?
7. 900 centimeters = ______________
meters