quick review skills workbook

Course 1

Quick Review Skills Workbook

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Except as permitted under the United States Copyright Act, no part of this publication may be

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ISBN: 978-0-07-894176-4

MHID: 0-07-894176-8

Printed in the United States of America. Fair Game Workbook, Course 1, TAE

1 2 3 4 5 6 7 8 9 10 066 18 17 16 15 14 13 12 11 10 09

Teacher’s Guide to Using

the Fair Game Workbook

In order for their skills to remain fresh, students need opportunities to practice the math skills that they have learned in previous courses. The Fair Game Workbook contains pages of practice for various basic math skills. Each page is geared to one or more previously-learned skills.

When to Use These worksheets can be used as short in-class or take-home refreshers. You may wish to use them before you study related lessons in the Student Edition or at any time during the school year.

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iii Course 1

CONTENTS

Math Skill Page

1 Multiplying Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

2 Dividing Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

3 Multiplying and Dividing Whole Numbers . . . . . . . . . . . . . . . . . . . . . 5

4 Decimals and Place Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

5 Comparing and Ordering Decimals . . . . . . . . . . . . . . . . . . . . . . . . . 9

6 Rounding Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

7 Adding Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

8 Subtracting Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

9 Adding and Subtracting Decimals . . . . . . . . . . . . . . . . . . . . . . . . . 17

10 Estimating with Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

11 Prime and Composite . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

12 Prime Factorization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23

13 Finding Common Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25

14 Greatest Common Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27

15 Least Common Multiple . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29

16 Fractions and Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

17 Simplifying Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

18 Adding Fractions with Like Denominators . . . . . . . . . . . . . . . . . . . 35

19 Subtracting Fractions with Like Denominators . . . . . . . . . . . . . . . . 37

20 Adding and Subtracting Fractions with Like Denominators . . . . . . 39

21 Adding and Subtracting Fractions with Unlike Denominators . . . . 41

22 Mixed Numbers and Improper Fractions . . . . . . . . . . . . . . . . . . . . 43

23 Adding and Subtracting Mixed Numbers . . . . . . . . . . . . . . . . . . . . 45

24 Using Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47

25 Using Order of Operations with Parentheses . . . . . . . . . . . . . . . . . 49

26 Using Order of Operations with Powers . . . . . . . . . . . . . . . . . . . . . 51

27 Fractions, Decimals, and Percents . . . . . . . . . . . . . . . . . . . . . . . . . 53

28 Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55

29 Classifying Angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57

30 Graphing Points on a Coordinate Plane . . . . . . . . . . . . . . . . . . . . . 59

31 Displaying Data on Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61

32 Measurement: The Customary System . . . . . . . . . . . . . . . . . . . . . 63

33 Measurement: Weight in the Customary System . . . . . . . . . . . . . . 64

34 Measurement: Length, Capacity, and Weight in the

Customary System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65

35 Measurement: Temperature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66

36 Measurement: The Metric System . . . . . . . . . . . . . . . . . . . . . . . . . 67

37 Measurement: Capacity in the Metric System . . . . . . . . . . . . . . . . 69

38 Measurement: Mass in the Metric System . . . . . . . . . . . . . . . . . . . 70

39 Measurement: Length, Capacity, Weight, and Temperature. . . . . . 71

40 Perimeter and Area of Rectangles . . . . . . . . . . . . . . . . . . . . . . . . . 75

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ii_iv_FGWTEC1_894176.indd ivii_iv_FGWTEC1_894176.indd iv 3/26/09 8:36:15 AM3/26/09 8:36:15 AM

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1 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. 57 × 18

2. 23 × 49 3. 165 × 30

4. 26 × 48 5. 984 × 52

6. 11 × 21

7. 654 × 12

8. 47 × 35 9. 401 × 56

10. 94 × 61 11. 142 × 35

12. 741 × 70

13. 26 × 88 14. 527 × 23

15. 16 × 94

16. 371 × 18

17. 63 × 48 18. 449 × 57

Multiplying Whole Numbers

Find each product.

1,026

1,127

4,950

1,248

51,168 231

7,848

1,645 22,456

5,734

4,970

51,870

2,288

12,121 1,504

6,678 25,593

3,024

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Course 1 2

NAME ________________________________________ DATE _____________ PERIOD _____

Multiplying Whole Numbers

Find each product.

1. 14 × 5

2. 32 × 87 3. 625 × 40

4. 2 × 847 5. 94 × 7

6. 29 × 451

7. 54 × 12

8. 74 × 502 9. 41 × 6

10. 23 × 9 11. 687 × 32

12. 17 × 68

13. 194 × 55 14. 32 × 91

15. 873 × 25

16. 5,106 × 14

17. 6 × 1,280 18. 4,149 × 57

70

2,784

1,694

658 13,079

648

37,148 246

207

21,984

1,156

10,670

2,912 21,825

71,484

7,680

236,493

25,000


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3 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. 48 ÷ 4 2. 6 � �� 82 3. 784 ÷ 3

4. 5 � �� 725 5. 114 ÷ 3 6. 8 � �� 792

7. 851 ÷ 8 8. 7 � �� 492 9. 5,976 ÷ 9

10. 9,207 ÷ 3 11. 6 � �� 876 12. 3,065 ÷ 5

13. 8 � �� 539 14. 2,142 ÷ 6 15. 4 � �� 760

16. 3,612 ÷ 3 17. 7 � �� 8,643 18. 5,281 ÷ 9

Dividing Whole Numbers

Find each quotient.

12 261 R1

38

106 R3 664

3,069 613

357

1,204 586 R7

145 99

70 R2

146

67 R3 190

1,234 R5

13 R4


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Course 1 4

NAME ________________________________________ DATE _____________ PERIOD _____

1. 70 ÷ 10 2. 30 � �� 900 3. 370 ÷ 50

4. 31 � �� 93 5. 84 ÷ 21 6. 42 � �� 210

7. 854 ÷ 61 8. 39 � �� 1,530 9. 1,980 ÷ 22

10. 5,824 ÷ 56 11. 46 � �� 2,340 12. 2,250 ÷ 18

13. 23 � �� 14,260 14. 6,345 ÷ 15 15. 12 � �� 150

16. 908 ÷ 36 17. 93 � �� 5,239 18. 1,782 ÷ 48

Dividing Whole Numbers

Find each quotient.

7 7 R20

4

14 90

104 125

423

25 R8 37 R6

30

3 5

39 R9

50 R40

620

56 R31

12 R6


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5 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Multiplying and Dividing Whole Numbers

Find each product or quotient.

1. 5,796 × 6 2. 7,612 ÷ 4 3. 560 × 5

4. 3 � �� 112 5. 257 × 2 6. 7 � �� 695

7. 3,057 × 9

8. 8,516 ÷ 8 9. 910 × 4

10. 7 � �� 4,912 11. 775 × 8

12. 5,431 ÷ 2

13. 2,529 × 3 14. 5 � �� 651 15. 117 × 7

16. 335 ÷ 4 17. 8,742 × 6 18. 9 � �� 1,983

34,776 1,903

514

1,064 R4 3,640

2,715 R1

7,587

83 R3 52,452

27,513

6,200

819

2,800

37 R1 99 R2

701 R5

130 R1

220 R3


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Course 1 6

NAME ________________________________________ DATE _____________ PERIOD _____

Multiplying and Dividing Whole Numbers

Find each product or quotient.

1. 9,521 × 12 2. 162 ÷ 8 3. 2,506 × 74

4. 17 � �� 4,121 5. 527 × 6 6. 25 � �� 1,500

7. 3,877 × 9

8. 8,206 ÷ 21 9. 1,990 × 7

10. 4 � �� 9,526 11. 5,910 × 38

12. 6,381 ÷ 52

13. 4,982 × 3 14. 4 � �� 2,557 15. 7,812 × 47

16. 1,891 ÷ 23 17. 338 × 9 18. 41 � �� 8,233

114,252

185,444

20 R2

3,162

34,893

224,580

367,164

390 R16 13,930

14,946

82 R5 3,042

122 R37

200 R33

639 R1

2,381 R2

242 R7 60

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7 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Decimals and Place Value

Write the number named by each underlined digit.

1. 0.5433 2. 493.009 3. 93.3223

4. 0.432 5. 9.00034 6. 28.9920

7. 2.2334 8. 13.2332 9. 9.3832

10. 110.987 11. 4.9123 12. 90.002

13. 7.0941 14. 9.9999 15. 0.865

16. 7.421 17. 41.905 18. 73.0912

19. 7,490.1 20. 5.553 21. 0.00023

0.0003 0.30.00

0.03 0.00020.003

0.007 0.00.0003

0.0001 0.80.09

0.001 0.090.9

0.1 0.00020.003

0.002 0.90.0003


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Course 1 8

NAME ________________________________________ DATE _____________ PERIOD _____

Decimals and Place Value

Write each number as a decimal.

1. twelve hundredths 2. five and eight tenths

3. eight and six hundredths 4. twenty and four hundred forty-five ten-thousandths

5. eight tenths 6. sixteen hundredths

7. fifty-one ten-thousandths 8. one hundred forty-five and seven thousandths

9. fifty and two tenths 10. eight and two hundred forty-three thousandths

0.12 5.8

8.06

0.8

0.0051

50.2

0.16

20.0445

145.007

8.243


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9 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Comparing and Ordering Decimals

Replace each ● with <, >, or = to make a true statement.

1. 0.09 ● 0.009 2. 0.143 ● 1.43 3. 0.563 ● 9

4. 0.00002 ● 0.0000001 5. 0.956 ● 0.957 6. three tenths ● 0.3

7. forty-five hundredths ● 0.2

8. 0.8 ● eight ten-thousandths

9. 0.78 ● 0.5

10. 0.09, 0.008, 0.7654, 0.1 11. 1.786, 89.09, 3.88, 0.875, 0.342

12. 0.000007, 0.007, 0.07, 0.7, 0.0071 13. 0.873, 0.0009876, 0.321, 0.965

Order the given numbers from greatest to least.

> <<

> >>

> =<

0.7654, 0.1, 0.09, 0.008 89.09, 3.88, 1.786, 0.875, 0.342

0.7, 0.07, 0.0071, 0.007, 0.000007 0.965, 0.873, 0.321, 0.0009876


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Course 1 10

NAME ________________________________________ DATE _____________ PERIOD _____

Comparing and Ordering Decimals

Order the given numbers from least to greatest.

1. 0.678, 0.67, 0.6, 0.90 2. 0.00087, 0.087, 0.87, 0.8, 0.000875

3. 0.987, 0.875, 0.9998, 0.978 4. 0.0001, 0.01, 0.0222, 0.00012

5. ninety-five ten-thousandths ● 0.0095

6. 0.987 ● 0.0008 7. one hundredth ● one

8. two thousand ● 0.002 9. 0.1 ● 0.0100 10. 0.72 ● 0.072

11. fifty-eight tenths ● 5.8 12. 0.0002 ● 0.00021 13. seven tenths ● 0.7


= <>

0.6, 0.67, 0.678, 0.90 0.00087, 0.000875, 0.087, 0.8, 0.87

0.875, 0.978, 0.987, 0.9998 0.0001, 0.00012, 0.01, 0.0222

< =<

> >>


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11 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Rounding Decimals

Round each number to the nearest tenth.

1. 56.321 2. 9.32145 3. 18,973.354

4. 4,978.6887 5. 7,893.214 6. 5.264

Round each number to the nearest hundredth.

7. 578.3589 8. 789,125.6987896 9. 97.954

10. 789.1798 11. 12.47874 12. 1.4532

Round each number to the nearest thousandth.

13. 7.38795 14. 2.87965421 15. 179.54789

16. 5.1473569 17. 7.89785 18. 7.21432

56.3 18,973.49.3

4,978.7 5.37,893.2

578.36 97.95789,125.70

789.18 1.4512.48

7.388 179.5482.880

5.147 7.2147.898


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Course 1 12

NAME ________________________________________ DATE _____________ PERIOD _____

Rounding Decimals

Express each decimal rounded to the nearest tenth, hundredth, and thousandth.

1. 1.87965 2. 478.2145

3. 793.148796 4. 0.15879

5. 831.14875 6. 5,687.148713

7. 7.214789 8. 9.314512

9. 14,757.3148965 10. 6.2147866

1.9, 1.88, 1.880 478.2, 478.21, 478.215

793.1, 793.15, 793.149

831.1, 831.15, 831.149

7.2, 7.21, 7.215

14,757.3, 14,757.31, 14,757.315

5,687.1, 5,687.15, 5,687.149

0.2, 0.16, 0.159

9.3, 9.31, 9.315

6.2, 6.21, 6.215


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13 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Adding Decimals

Find each sum.

1. 6.5 + 8.2

2. 9.25 + 6.37

3. 2.87 + 5.64

4. 0.75 + 0.66

5. 5.64 + 2.81 + 7.03 6. 5.6 + 7.4

7. 3.8 + 1.2

8. 9.6 + 3.7

9. 8.541 + 1.968

10. 7.85 + 2.73 11. 6.888 + 2.123

12. 0.75 + 0.57

13. At the toy store, Aislyn selected a doll for $7.85 and her sister Bryn picked a puzzle for $5.99. What was the total bill for the two toys?

14. A dresser measures 33.25 inches wide and a desk measures 47.5 inches wide. What will be the total width of the two pieces of furniture if they are placed together on one wall of a room?

Solve.

14.7

15.48

15.62 8.51

1.41

13.0

5.0 13.3 10.509

9.011

10.58 1.32

$13.84 80.75 in.


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Course 1 14

NAME ________________________________________ DATE _____________ PERIOD _____

Find each sum.

Adding Decimals

1. 27.19 + 75.98

2. 17.88 + 3.2

3. 5.009 + 0.756

4. 0.65 + 0.7 5. $255.89 + 27.75

6. 54.79 + 8.65

7. 65.77 + 29.97 8. 4.2 1.86 + 0.75

9. 0.5 + 0.48 + 0.691

10. 7.95 + 4.008 11. 3.749 + 9.184

12. 13.19 47.21 + 5.66

13. 87.507 + 4.013 + 0.5 14. 9.9 + 8.8

15. 45.6 + 54.4

16. 32.789 6.753 + 0.879

17. $5.65 + $8.93 18. 75.64 + 4.8

103.17 21.08

63.44

5.765

$283.64

12.933

66.06

18.7 100.0

40.421

80.44

95.74 1.671

1.35

$14.58

11.958

92.02

6.81


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15 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Subtracting Decimals

Find each difference.

1. 8.75 - 5.43

2. 6.54 - 2.75

3. 53.44 - 41.65

4. 644.32 - 599.01

4. 8.4 - 7.3

6. 7.9577 - 4.5589

7. 851.9 - 433.6 8. $95.98 - $64.55 9. 18.75 - 12.46

10. 546.66 - 299.99

11. 763.4 - 759.1

12. 824.18 - 724.55

13. 674.90 - 517.95

14. 1,011.12 - 1,000.99

15. 74,887.25 - 38,252.76

16. 78.63 - 10.09

17. 767.88 - 688.99 18. 987.55 - 903.69

418.3

3.32 3.79 11.79

45.31 1.1 3.3988

$31.43

6.29

246.67 4.3 99.63

156.95 10.13 36,634.49

68.54

78.89 83.86


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Course 1 16

NAME ________________________________________ DATE _____________ PERIOD _____

Subtracting Decimals

Find each difference.

1. 7.5 - 6.24

2. 34.97 - 8.01 3. 205.75 - 6.79

4. 7.6 - 3.98 5. $74.35 - $48.75 6. 67 - 11.68

7. 919.18 - 55.75

8. 35.22 - 5.603

9. $75 - $0.23

10. 0.7 - 0.589

11. 9.58 - 0.2076 12. 256 - 87.612

13. 0.953 - 0.678

14. 6.54 - 0.89

15. 135.7 - 67.98

16. A wallpaper border is 25 centimeters wide. If Donna trims 4.5 centimeters from the width, what will the new width be?

17. The regular price of a particular snowboard is $125.94. During a sale, the discount for this item is $10.50. What is the sale price of the snowboard?

18. A running trail is 17.45 kilometers long. If Liz runs 12.5 kilometers before lunch, how many kilometers will she need to run after lunch to finish the trail?

Solve.

1.26

$25.60

26.96

198.96

3.62

55.32

863.43 29.617

$74.77

0.111

9.3724 168.388

0.275 5.65 67.72

20.5 cm $115.44 4.95 km


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17 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Adding and Subtracting Decimals

Find each sum or difference.

1. 4.3 - 3.569

2. 5,698.2 + 45.5

3. 65.47 + 0.2

4. 85,480.13 - 42,125.365

5. 526.78 + 8.3 6. 6.8 - 0.542

7. 0.8 - 0.679

8. 2.75 + 14.87

9. 475.63 - 51.60

10. 0.243 + 5.6 + 65.49 11. 875.92 - 43.75

12. 5,627.14 + 0.56

13. 674.8842 - 542.2550 14. 0.097 - 0.059

15. 5.467 + 0.987

0.731 5,743.7

43,354.765

832.17 5,627.70

0.038 6.454

65.67

535.08 6.258

0.121 17.62

424.03

71.333

132.6292


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Course 1 18

NAME ________________________________________ DATE _____________ PERIOD _____

Adding and Subtracting Decimals

Find each sum or difference.

1. 698.25 - 483.75

2. 4.5 + 9.1 + 6.4 3. 259.15 - 187.65

4. 54.67 + 35.48

5. 7,890.25 - 5,897.23

6. 658.94 - 435.98

7. 6,212.325 + 8,132.635

8. 58.18 - 42.56

9. 6.97 5.45 + 2.85

10. 463.55 - 375.79 11. 524.86 - 521.39

12. 85.67 + 72.75

13. Julie picked strawberries for four days last week. The weights she picked in pounds per day were 25.6, 31.8, 19.7, and 27.8. How many total pounds did she pick?

14. Eric wants to buy an aquarium for some fish. The Tropics model holds 98.75 gallons of water and the Oceanic model holds 123.25 gallons. How many more gallons of water does the Oceanic model hold than the Tropics model?

15. Gayla wants to buy a mountain bike for $579. She has saved $365.75. How much more money does she need to buy the bike?

16. Odin earned the following amounts each week for one month from his part-time job: $112, $107.75, $89, and $99.50. What was the total of his earnings for the month?

Solve.

214.50

20.0 71.5

90.15 1,993.02 222.96

14,344.96 15.62

15.27

87.76

3.47

158.42

104.9 lb 24.5 gal

$213.25 $408.25


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19 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Estimating with Decimals

Estimate each sum or difference.

1. 5,402.08 + 782.91

2. 67.55 + 4.3

3. 127.14 - 11.25

4. 6,992.46 - 1,433.64

5. 476.37 + 19.1

6. 27.06 + 8.01

7. 834.34 - 38.1 8. 774.28 - 685.1 9. 1,002.33 - 566.89

10. 282.05 + 98.36

11. 46.6 + 5.1

12. 176.04 + 8.6

13. 940.94 - 25.20

14. 4,809.23 - 371.8

15. 213.46 + 6.72

6,200

1–15. Sample answers given.

72

35

380 52

4,400916 220

5,600 495

116

790 90 430

185


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Course 1 20

NAME ________________________________________ DATE _____________ PERIOD _____

Estimating with Decimals

Estimate each sum or difference.

1. 306.6 + 72.7

2. 8,623.09 - 2,356.81

3. 73.33 + 18.4

4. 718.67 - 56.3 5. 506.22 + 4.03

6. 482.26 - 8.41

7. 3,540.8 + 871.99

8. 908.63 - 443.24 9. 5,636.67 - 38.3

10. 86.74 - 32.59 11. 1,684.08 + 2.64

12. 546.35 + 267.25

13. 3,979.76 + 3,023.43 14. 1,196.64 - 38.05

15. 214.36 + 329.81

1–15. Sample answers given.

90

470660

500 5,600

60

380 6,200

510

4,400

1,700 800

7,000 1,160 550


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1111 Prime and Composite

Determine whether each number is prime, composite, or neither.

1. 31 2. 44 3. 66

4. 67 5. 73 6. 113

7. 158 8. 247 9. 416

10. 643 11. 885 12. 957

13. 1,424 14. 1,883 15. 2,223

21 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

prime compositecomposite

composite compositecomposite



prime primeprime


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Course 1 22

NAME ________________________________________ DATE _____________ PERIOD _____

Prime and Composite

Determine whether each number is prime, composite, or neither.

1. 41 2. 54 3. 63

4. 71 5. 79 6. 117

7. 159 8. 361 9. 424

10. 681 11. 895 12. 991

13. 1,532 14. 1,951 15. 2,667



composite compositeprime

composite primecomposite

prime compositeprime


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23 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Prime Factorization

Find the prime factorization of each number.

1. 36 2. 18 3. 45

4. 31 5. 92 6. 125

7. 64 8. 40 9. 63

10. 79 11. 84 12. 39

13. 87 14. 50 15. 140

2 × 2 × 3 × 3 3 × 3 × 52 × 3 × 3

2 × 2 × 2 × 2 × 2 × 2 3 × 3 × 72 × 2 × 2 × 5

3 × 29 2 × 2 × 5 × 72 × 5 × 5

1 × 79 3 × 132 × 2 × 3 × 7

1 × 31 5 × 5 × 52 × 2 × 23


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Course 1 24

NAME ________________________________________ DATE _____________ PERIOD _____

Prime Factorization

Find the prime factorization of each number.

1. 42 2. 20 3. 41

4. 200 5. 88 6. 27

7. 52 8. 16 9. 69

10. 160 11. 35 12. 72

13. 24 14. 19 15. 90

2 × 3 × 7 1 × 412 × 2 × 5

2 × 2 × 13 3 × 232 × 2 × 2 × 2

2 × 2 × 2 × 3 2 × 3 × 3 × 51 × 19

2 × 2 × 2 × 2 × 2 × 5 2 × 2 × 2 × 3 × 35 × 7

2 × 2 × 2 × 5 × 5 3 × 3 × 32 × 2 × 2 × 11


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25 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Finding Common Factors

List all factors for each pair of numbers. Then identify all common factors.

1. 12; 22 2. 18; 33 3. 15; 80

4. 25; 35 5. 24; 88 6. 27; 72

7. 55; 125 8. 16; 48 9. 68; 187

10. 40; 155 11. 86; 180 12. 77; 132

13. 110; 225 14. 112; 240 15. 225; 475

12: 1, 2, 3, 4, 6, 12

22: 1, 2, 11, 22

common: 1, 2

15: 1, 3, 5, 15

80: 1, 2, 4, 5, 8, 10, 16,

20, 40, 80

common: 1, 5

18: 1, 2, 3, 6, 9, 18

33: 1, 3, 11, 33

common: 1, 3

55: 1, 5, 11, 55

125: 1, 5, 25, 125

common: 1, 5

68: 1, 2, 4, 17, 34, 68

187: 1, 11, 17, 187

common: 1, 17

16: 1, 2, 4, 8, 16

48: 1, 2, 3, 4, 6, 8, 12, 16,

24, 48

common: 1, 2, 4, 8, 16

110: 1, 2, 5, 10, 11, 22,

55, 110

225: 1, 3, 5, 9, 15, 25, 45,

75, 225

common: 1, 5

225: 1, 3, 5, 9, 15, 25, 45,

75, 225

475: 1, 5, 19, 25, 95, 475

common: 1, 5, 25

112: 1, 2, 4, 7, 8, 14, 16,

28, 56, 112

240: 1, 2, 3, 4, 5, 6, 8, 10, 12,

15, 16, 20, 24, 30, 40,

48, 60, 80, 120, 240

common: 1, 2, 4, 8, 16

40: 1, 2, 4, 5, 8, 10, 20, 40

155: 1, 5, 31, 155

common: 1, 5

77: 1, 7, 11, 77

132: 1, 2, 3, 4, 6, 11, 12,

22, 33, 44, 66, 132

common: 1, 11

86: 1, 2, 43, 86

180: 1, 2, 3, 4, 5, 6, 9, 10,

12, 15, 18, 20, 30, 36,

45, 60, 90, 180

common: 1, 2

25: 1, 5, 25

35: 1, 5, 7, 35

common: 1, 5

27: 1, 3, 9, 27

72: 1, 2, 3, 4, 6, 8, 9, 12, 18,

24, 36, 72

common: 1, 3, 9

24: 1, 2, 3, 4, 6, 8, 12, 24

88: 1, 2, 4, 8, 11, 22, 44,

88

common: 1, 2, 4, 8


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Course 1 26

NAME ________________________________________ DATE _____________ PERIOD _____

Finding Common Factors

List all factors for each set of numbers. Then identify all common factors.

1. 6; 8; 10 2. 7; 14; 28

3. 10; 15; 20 4. 9; 12; 15

5. 12; 20; 30 6. 15; 20; 35

7. 9; 18; 24 8. 22; 33; 44

9. 26; 32; 40 10. 32; 45; 60

6: 1, 2, 3, 6

8: 1, 2, 4, 8

10: 1, 2, 5, 10

common: 1, 2

12: 1, 2, 3, 4, 6, 12

20: 1, 2, 4, 5, 10, 20

30: 1, 2, 3, 5, 6, 10, 15, 30

common: 1, 2

26: 1, 2, 13, 26

32: 1, 2, 4, 8, 16, 32

40: 1, 2, 4, 5, 8, 10, 20, 40

common: 1, 2

32: 1, 2, 4, 8, 16, 32

45: 1, 3, 5, 9, 15, 45

60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

common: 1

9: 1, 3, 918: 1, 2, 3, 6, 9, 18

24: 1, 2, 3, 4, 6, 8, 12, 24

common: 1, 3

22: 1, 2, 11, 22

33: 1, 3, 11, 33

44: 1, 2, 4, 11, 22, 44

common: 1, 11

15: 1, 3, 5, 15

20: 1, 2, 4, 5, 10, 20

35: 1, 5, 7, 35

common: 1, 5

7: 1, 7

14: 1, 2, 7, 14

28: 1, 2, 4, 7, 14, 28

common: 1, 7

10: 1, 2, 5, 10

15: 1, 3, 5, 15

20: 1, 2, 4, 5, 10, 20

common: 1, 5

9: 1, 3, 9

12: 1, 2, 3, 4, 6, 12

15: 1, 3, 5, 15

common: 1, 3


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27 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Greatest Common Factor

Find the greatest common factor (GCF) of each pair of numbers.

1. 12; 30 2. 35; 45 3. 32; 60

4. 15; 18 5. 22; 55 6. 20; 65

7. 35; 110 8. 16; 48 9. 64; 152

10. 45; 270 11. 68; 238 12. 125; 225

13. 120; 600 14. 144; 360 15. 1,200; 1,575

6 45

5 816

120 7572

45 2534

3 511


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Course 1 28

NAME ________________________________________ DATE _____________ PERIOD _____

Find the greatest common factor (GCF) of each set of numbers.

Greatest Common Factor

1. 15; 18; 24 2. 9; 27; 54

3. 18; 54; 90 4. 25; 75; 90

5. 21; 39; 96 6. 55; 110; 155

7. 52; 91; 117 8. 121; 143; 165

9. 135; 189; 297 10. 150; 175; 350

3 9

3 5

27 25

13 11

18 5


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29 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. 8,12 2. 10, 25 3. 4, 6

4. 15, 20 5. 10, 13 6. 30, 50

7. 4, 14 8. 9, 36 9. 12, 15

10. 16, 40 11. 17, 18 12. 35, 49

13. 24, 42 14. 6, 16 15. 48, 120

Least Common Multiple

Find the least common multiple (LCM) of each set of numbers.

24 1250

28 6036

168 24048

80 245306

60 150130


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Course 1 30

NAME ________________________________________ DATE _____________ PERIOD _____

Least Common Multiple

Find the least common multiple (LCM) of each set of numbers.

1. 4, 5, 6 2. 10, 12, 15

3. 5, 9, 15 4. 7, 14, 42

5. 25, 28, 30 6. 21, 48, 49

7. 10, 16, 40 8. 14, 42, 98

9. 32, 40, 96 10. 13, 26, 65

60 60

2,100 2,352

480 130

80 294

45 42


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31 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Fractions and Decimals

Write each fraction as a decimal.

1. 2 _ 5 2. 1 _

4 3. 7 _

10

4. 30 _ 100

5. 4 _ 5 6. 3 _

4

7. 9 _ 10

8. 14 _ 100

9. 7 _ 8

Write each decimal as a fraction in simplest form.

10. 0.4 11. 0.25 12. 0.55

13. 0.7 14. 0.15 15. 0.31

16. 0.75 17. 0.9 18. 0.375

0.4 0.70.25

0.9 0.8750.14

3

_ 4

3

_ 8

9

_ 10

7 _ 10

31

_ 100

3

_ 20

0.3 0.750.8

2 _ 5 11

_ 20

1 _ 4


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Course 1 32

NAME ________________________________________ DATE _____________ PERIOD _____

Fractions and Decimals

Write each fraction as a decimal.

1. 8 _ 10

2. 3 _ 5 3. 45 _

100

4. 3 _ 4 5. 5 _

8 6. 1 _

10

7. 1 _ 5 8. 60 _

100 9. 1 _

4

Write each decimal as a fraction in simplest form.

10. 0.8 11. 0.5 12. 0.35

13. 0.24 14. 0.125 15. 0.6

16. 0.75 17. 0.65 18. 0.2

0.8 0.450.6

0.75 0.10.625

0.2 0.250.6

4 _ 5 7

_ 20

1 _ 2

6

_ 25

3

_ 5 1

_ 8

3

_ 4 1

_ 5

13

_ 20


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33 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Simplifying Fractions

Write each fraction in simplest form.

1. 28 _ 7 2. 9 _

11 3. 6 _

15

4. 18 _ 12

5. 5 _ 18

6. 4 _ 18

7. 27 _ 54

8. 76 _ 90

9. 3 _ 33

10. 8 _ 64

11. 15 _ 63

12. 42 _ 96

13. 1 _ 5 14. 24 _

72 15. 25 _

75

16. 63 _ 77

17. 12 _ 60

18. 24 _ 74

4 2 _ 5

9

_ 11

1 _ 2 1

_ 11

38

_ 45

9

_ 11

12

_ 37

1 _ 5

1 _ 8 7

_ 16

5

_ 21

3

_ 2 or 1 1

_ 2 2

_ 9

5

_ 18

1 _ 5 1

_ 3 1

_ 3


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Course 1 34

NAME ________________________________________ DATE _____________ PERIOD _____

10. Miranda bought 9 yards of fabric for a project. She used 3 yards on the first day. What fraction of the fabric did she use the first day?

11. Scott worked a 3 hour shift at Paul’s Pizzeria. During his shift, he spent 45 minutes making pizza crusts. What fraction of his shift did he spend making crusts?

12. Darlene baked 16 dozen cookies for her bakery. Of those cookies, 6 dozen were oatmeal cookies. What fraction of the cookies were oatmeal?

13. The Tree Factory ordered 95 trees. Of those, 25 were willow trees. What fraction of the trees were willow trees?

Solve. Write each answer in simplest form.

Simplifying Fractions

Write each fraction in simplest form.

1. 6 _ 36

2. 20 _ 10

3. 18 _ 60

4. 20 _ 350

5. 8 _ 32

6. 13 _ 169

7. 18 _ 92

8. 5 _ 9 9. 9 _

21

1 _ 3

3

_ 8

5

_ 19

1 _ 4

1 _ 6

3

_ 10

2

2 _ 35

1 _ 13

1 _ 4

9

_ 46

3

_ 7

5

_ 9


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35 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. 1 _ 5 + 2 _

5 2. 2 _

7 + 4 _

7 3. 1 _

11 + 2 _

11

4. 3 _ 8 +

5 _ 8 5. 2 _

13 + 4 _

13 6. 1 _

9 + 5 _

9

7. 1 _ 2

+ 1 _ 2

8. 3 _ 14

+ 5 _ 14

9. 8 _ 15

+ 2 _ 15

10. 1 _ 16

+ 3 _ 16

11. 7 _ 20

+ 3 _ 20

12. 1 _ 10

+ 3 _ 10

13. 10 _ 17

+ 6 _ 17

14. 1 _ 8

+ 3 _ 8

15. 1 _ 4 + 1 _

4

Adding Fractions with Like Denominators

Add. Write each sum in simplest form.

3

_ 5

3

_ 11

6

_ 7

1

2 _ 3

4 _ 7

16

_ 17

1 _ 2

1 _ 2

1 _ 4

2 _ 5

1 _ 2

1 2 _ 3

6

_ 13


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Course 1 36

NAME ________________________________________ DATE _____________ PERIOD _____

Adding Fractions with Like Denominators

Add. Write each sum in simplest form.

1. 2 _ 5 + 3 _

5 2. 2 _

13 + 11 _

13 3. 1 _

3

+ 1 _ 3

4. 1 _ 10

+ 7 _ 10

5. 2 _ 15

+ 4 _ 15

6. 7 _ 12

+ 5 _ 12

7. 2 _ 21

+ 15 _ 21

8. 5 _ 18

+ 1 _ 18

9. 13 _ 25

+ 12 _ 25

10. 3 _ 10

+ 7 _ 10

11. 5 _ 27

+ 20 _ 27

12. 1 _ 6

+ 3 _ 6


13. If 1 _ 5 of a set of marbles is red and 3 _

5 of

the set is blue, what fraction of the set

of marbles is red or blue?

14. Lily needs 3 _ 8 foot of lace for a project

and 1 _ 8 foot for another project. How

much lace does she need for both

projects?

1

2 _ 3

1

17

_ 21

1 1 _ 3

1

2 _ 3

25

_ 27

4 _ 5

1 2 _ 5

4 _ 5 of the set 1

_ 2 ft


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37 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Subtracting Fractions with Like Denominators

Subtract. Write each difference in simplest form.

1. 4 _ 5 - 3 _

5 2. 5 _

7 - 2 _

7 3. 7 _

12 - 5 _

12

4. 16 _ 17

- 3 _ 17

5. 11 _ 21

- 5 _ 21

6. 9 _ 14

- 7 _ 14

7. 17 _ 20

- 5 _ 20

8. 4 _ 11

- 2 _ 11

9. 3 _ 4

- 1 _ 4

10. 13 _ 15

- 2 _ 15

11. 25 _ 27

- 5 _ 27

12. 7 _ 8

- 3 _ 8

13. 35 _ 48

- 13 _ 48

14. 3 _ 5

- 2 _ 5

15. 13 _ 18

- 5 _ 18

1 _ 5 1

_ 6

3

_ 7

13

_ 17

1 _ 7 2

_ 7

3

_ 5

1 _ 2 2

_ 11

11

_ 15

1 _ 2

20

_ 27

11

_ 24

4 _ 9

1 _ 5


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Course 1 38

NAME ________________________________________ DATE _____________ PERIOD _____

Subtracting Fractions with Like Denominators

Subtract. Write each difference in simplest form.

1. 8 _ 9 - 7 _

9 2. 23 _

30 - 7 _

30 3. 10 _

11

- 3 _ 11

4. 2 _ 9 - 1 _

9 5. 6 _

25

- 5 _ 25

6. 2 _ 3 - 1 _

3

7. 23 _ 26

- 7 _ 26

8. 7 _ 8 - 1 _

8 9. 4 _

5 - 2 _

5

10. 5 _ 9

- 2 _ 9

11. 35 _ 51

- 18 _ 51

12. 9 _ 20

- 3 _ 20

13. Abbi has a lemonade stand. She needs

2 _ 3 cup of lemon juice and 1 _

3 cup of sugar

for the lemonade. How much more

lemon juice does she need than sugar?

14. Jennie’s dog ate 5 _ 8 pound of dog food

in the morning. In the evening, the

dog ate 7 _ 8 pound of the food. How

much more dog food did the dog eat

in the evening?


1 _ 9

7 _ 11

8

_ 15

1 _ 9 1

_ 3

1 _ 25

8

_ 13

2 _ 5

3

_ 4

1 _ 3

3

_ 10

1 _ 3

1 _ 3 c 1

_ 4 lb


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39 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Adding and Subtracting Fractions with

Like Denominators

Add or subtract. Write the sum or difference in simplest form.

1. 3 _ 13

+ 7 _ 13

2. 11 _ 32

+ 5 _ 32

3. 9 _ 11

- 7 _ 11

4. 3 _ 5

+ 1 _ 5

5. 1 _ 8

2 _ 8

+ 3 _ 8

6. 9 _ 10

- 1 _ 10

7. 64 _ 75

- 11 _ 75

8. 3 _ 8 + 1 _

8 9. 6 _

7

- 3 _ 7

10. 9 _ 11

- 2 _ 11

11. 13 _ 15

- 7 _ 15

12. 1 _ 5 + 3 _

5

13. 2 _ 3

- 1 _ 3

14. 5 _ 12

+ 1 _ 12

15. 13 _ 14

- 5 _ 14

10

_ 13

2 _ 11

1 _ 2

4 _ 5

4 _ 5

3

_ 4

53

_ 75

3

_ 7

1 _ 2

7 _ 11

4 _ 5 2

_ 5

1 _ 3

4 _ 7

1 _ 2


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Course 1 40

NAME ________________________________________ DATE _____________ PERIOD _____


Like Denominators


1. 22 _ 25

- 12 _ 25

2. 6 _ 7

- 3 _ 7

3. 10 _ 11

- 9 _ 11

4. 1 _ 4 + 1 _

4 5. 77 _

90

+ 11 _ 90

6. 23 _ 42

- 9 _ 42

7. 7 _ 8

- 3 _ 8

8. 1 _ 2 + 1 _

2 9. 11 _

25 + 12 _

25

10. 4 _ 7 - 3 _

7 11. 8 _

9 - 7 _

9 12. 2 _

5 + 1 _

5

13. 18 _ 27

+ 8 _ 27

14. 180 _ 225

+ 20 _ 225

15. 11 _ 12

- 5 _ 12

2 _ 5 1

_ 11

3

_ 7

1 _ 2 1

_ 3

44

_ 45

1 _ 2

23

_ 25

1

1 _ 7

3

_ 5 1

_ 9

26

_ 27

1 _ 2

8

_ 9


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41 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____


Unlike Denominators


1. 1 _ 5

+ 1 _ 4

2. 11 _ 12

- 1 _ 6

3. 5 _ 8

+ 7 _ 24

4. 8 _ 9

- 5 _ 36

5. 5 _ 12

+ 1 _ 3

6. 7 _ 16

+ 1 _ 2

7. 4 _ 5

- 1 _ 2

8. 7 _ 30

- 1 _ 15

9. 1 _ 12

+ 3 _ 4

10. 13 _ 20

+ 1 _ 4

11. 13 _ 21

- 3 _ 7

12. 8 _ 9

- 5 _ 6

13. 14 _ 15

- 7 _ 12

14. 8 _ 17

- 15 _ 68

15. 12 _ 25

+ 27 _ 100

9

_ 20

11

_ 12

3

_ 4

3

_ 4

15

_ 16

3

_ 4

3

_ 10

5

_ 6 1

_ 6

9

_ 10

1 _ 18

4 _ 21

7 _ 20

3

_ 4 1

_ 4


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Course 1 42

NAME ________________________________________ DATE _____________ PERIOD _____


Unlike Denominators


1. 1 _ 9

+ 2 _ 3

2. 4 _ 5

- 13 _ 30

3. 25 _ 36

+ 2 _ 9

4. 14 _ 25

- 3 _ 50

5. 8 _ 15

+ 4 _ 9

6. 16 _ 35

- 3 _ 10

7. 7 _ 8

+ 1 _ 40

8. 3 _ 5

- 3 _ 8

9. 19 _ 20

- 31 _ 100

10. 3 _ 5

+ 1 _ 3

11. 13 _ 25

- 1 _ 2

12. 7 _ 12

+ 6 _ 25

13. 13 _ 14

- 5 _ 12

14. 37 _ 40

- 2 _ 9

15. 17 _ 22

+ 8 _ 55

7 _ 9 11

_ 12

11

_ 30

1 _ 2 11

_ 70

44

_ 45

9

_ 10

16

_ 25

9

_ 40

14

_ 15

247

_ 300

1 _ 50

43

_ 84

101

_ 110

253

_ 360


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43 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. 75 _ 20

2. 42 _ 24

3. 35 _ 6

4. 65 _ 15

5. 44 _ 12

6. 17 _ 8

7. 21 _ 19

8. 8 _ 3 9. 26 _

5

10. 19 _ 4 11. 33 _

4 12. 45 _

7

13. 12 _ 5 14. 82 _

66 15. 25 _

15

Mixed Numbers and Improper Fractions

Write each improper fraction as a mixed number in simplest form.

3 3

_ 4 5

5

_ 6 1

3

_ 4

4 1 _ 3 2 1

_ 8 3 2

_ 3

1 2 _ 19

5 1 _ 5 2 2

_ 3

4 3

_ 4 6

3

_ 7 8 1

_ 4

2 2 _ 5 1 2

_ 3 1

8

_ 33


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Course 1 44

NAME ________________________________________ DATE _____________ PERIOD _____

Mixed Numbers and Improper Fractions

Write each mixed number as an improper fraction.

1. 6 2 _ 3 2. 1 4 _

5 3. 2 1 _

8

4. 3 5 _ 8 5. 5 11 _

12 6. 7 9 _

11

7. 6 1 _ 6 8. 4 3 _

10 9. 1 7 _

8

10. 5 3 _ 7 11. 9 3 _

5 12. 10 6 _

7

13. 6 1 _ 9 14. 8 14 _

15 15. 9 8 _

9

20

_ 3 17

_ 8

9

_ 5

29

_ 8

86

_ 11

71

_ 12

37

_ 6

15

_ 8

43

_ 10

38

_ 7

76

_ 7

48

_ 5

55

_ 9

89

_ 9

134

_ 15


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45 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Adding and Subtracting Mixed Numbers

Add or subtract. Write each sum or difference in simplest form.

1. 2 1 _ 3

+ 1 1 _ 3

2. 6 3 _ 8

+ 7 1 _ 8

3. 4 5 _ 6

+ 2 1 _ 6

4. 2 3 _ 4

- 1 1 _ 4

5. 5 6 _ 7

- 2 3 _ 7

6. 6 2 _ 3

- 4 1 _ 3

7. 2 2 _ 3

+ 4 1 _ 9

8. 7 4 _ 5

+ 9 3 _ 10

9. 3 3 _ 4

+ 5 5 _ 8

10. 7

- 6 4 _ 9

11. 18 1 _ 4

- 3 3 _ 8

12. 9 2 _ 5

- 8 1 _ 3

13. 1 1 _ 8

+ 2 1 _ 12

14. 10

- 2 _ 3

15. 19 1 _ 7

+ 6 1 _ 4

3 2 _ 3 713 1

_ 2

1 1 _ 2 2 1

_ 3 3 3

_ 7

6 7 _ 9

5

_ 9 1 1

_ 15

14 7 _ 8

9 3

_ 8 17 1

_ 10

3 5 _ 24

25 11

_ 28

9 1

_ 3


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Course 1 46

NAME ________________________________________ DATE _____________ PERIOD _____

1. 4 5 _ 6

+ 5 1 _ 6

2. 3 3 _ 4

+ 5 3 _ 4

3. 8 3 _ 7

+ 6 6 _ 7

4. 5 8 _ 9

- 3 2 _ 9

5. 7 1 _ 2

- 4 1 _ 2

6. 9 5 _ 8

- 6 3 _ 8

7. 6 5 _ 12

+ 12 5 _ 12

8. 7 1 _ 4

+ 15 5 _ 6

9. 10 2 _ 3

+ 5 6 _ 7

10. 17 2 _ 9

- 12 1 _ 3

11. 2 1 _ 12

- 1 1 _ 8

12. 6 1 _ 8

- 4 2 _ 3

13. 7 2 _ 3

+ 8 1 _ 4

14. 21 1 _ 3

- 15 3 _ 8

15. 12 3 _ 11

+ 14 3 _ 13

Adding and Subtracting Mixed Numbers

Add or subtract. Write each sum or difference in simplest form.

10 15 2 _ 7 9 1

_ 2

2 2 _ 3 3 1

_ 4 3

18 5

_ 6 16 11

_ 21

23 1 _ 12

4 8

_ 9 1 11

_ 24

23

_ 24

15 11

_ 12

26 72

_ 143

5 23

_ 24


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47 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Using Order of Operations

Evaluate each expression.

1. 6 + 5 - 1 2. 9 - 3 + 2 3. 7 + 5 × 2

4. 6 - 2 × 1 5. 8 + 4 ÷ 2 6. 10 - 6 ÷ 3

7. 10 ÷ 2 + 1 8. 9 ÷ 3 - 2 9. 15 + 3 - 6

10. 19 - 5 + 6 11. 12 × 9 + 3 12. 20 - 3 × 4

13. 17 + 10 ÷ 5 14. 25 - 12 ÷ 4 15. 28 ÷ 7 + 3

16. 32 ÷ 8 - 1 17. 21 + 8 × 3 18. 45 ÷ 9 + 8

19. 14 - 42 ÷ 3 20. 63 ÷ 7 - 9 21. 9 + 81 ÷ 9

10 178

4 810

6 121

20 8111

19 722

3 1345

0 180


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Course 1 48

NAME ________________________________________ DATE _____________ PERIOD _____

1. 10 + 9 ÷ 3 2. 4 + 4 × 4 3. 15 + 1 - 9

4. 12 - 3 × 3 5. 13 - 7 + 8 6. 49 ÷ 7 + 3

7. 15 × 2 + 7 8. 26 - 3 × 4 9. 55 ÷ 11 - 5

10. 12 × 3 + 5 × 4 11. 50 ÷ 2 - 9 ÷ 3 12. 16 × 3 × 2

13. 75 ÷ 3 ÷ 5 14. 72 ÷ 9 × 2 15. 5 × 7 + 12 ÷ 2

16. 36 ÷ 2 - 5 × 2 17. 25 ÷ 5 - 20 ÷ 5 18. 21 ÷ 3 + 42 ÷ 6

19. 56 ÷ 7 - 6 - 2 20. 20 × 2 × 3 + 7 21. 60 ÷ 2 ÷ 6 - 1

Using Order of Operations


13 720

3 1014

37 014

56 9622

5 4116

8 141

0 4127


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49 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. 5 + (7 - 2) 2. 10 - (3 + 2) 3. 7 + (5 + 6)

4. 15 - (8 - 2) 5. (14 + 3) - 2 6. (8 - 1) + 3

7. (2 + 3) × 6 8. (13 - 6) × 4 9. 6 + 9 × (3 + 1)

10. (25 - 5) ÷ 4 11. (32 + 4) ÷ 6 12. (2 + 3) × (4 + 1)

13. (12 - 8) × (9 - 6) 14. (7 + 3) × (2 - 1) 15. (40 - 5) ÷ (7 - 2)

16. (40 + 5) ÷ (5 + 4) 17. (8 + 3) × 2 + 3 18. 81 ÷ (11 - 2) + 5

19. 54 ÷ 9 + 3 × (3 + 5) 20. 88 ÷ (3 + 5) × 2 + 10 21. 40 ÷ (8 - 3) × 5 + 15

Using Order of Operations with Parentheses


10 185

9 1015

30 4228

5 256

12 710

5 1425

30 5532


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Course 1 50

NAME ________________________________________ DATE _____________ PERIOD _____

1. 12 + (20 - 3) 2. 25 - (10 + 15) 3. 18 + (4 + 2)

4. 36 - (9 - 3) 5. (12 + 13) - 20 6. (2 - 1) + 31

7. (5 + 10) × 2 8. (22 - 2) × 4 9. 10 + 5 × (2 + 3)

10. (23 - 2) ÷ 3 11. (41 + 7) ÷ 3 12. (1 + 1) × (6 + 1)

13. (40 - 10) × (6 - 4) 14. (9 + 6) × (4 - 1) 15. (72 - 8) ÷ (10 - 2)

16. (99 + 1) ÷ (16 + 4) 17. (5 + 6) × 7 + 3 18. 60 ÷ (15 - 3) + 15

19. 28 ÷ 7 + 5 × (4 + 6) 20. 39 ÷ (3 + 10) × 5 + 17 21. 70 ÷ (15 - 5) × 2 + 31

Using Order of Operations with Parentheses


29 240

30 325

30 3580

7 1416

60 845

5 2080

54 4532


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51 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. 6 2 + 15 ÷ 3 2. 20 - ( 3 2 + 1) + 2 3. 3 3 - (3 + 1) × 3

4. 4 3 - 20 ÷ 2 5. 15 + 5 2 ÷ 5 6. 45 - 8 2 ÷ 2

7. 15 ÷ 3 × 2 2 8. 7 × ( 3 2 - 1) + 5 9. 18 ÷ 3 + ( 7 2 - 1)

10. 3 × 2 3 + 2 × 3 2 11. 3 × ( 2 3 + 2) × 3 2 12. ( 2 3 × 3 2 ) + ( 3 2 × 2 3 )

13. ( 6 2 ÷ 2) + ( 4 3 ÷ 8) 14. 5 × 2 2 + 2 2 15. 7 × 3 2 + 45 ÷ 3 2

16. ( 2 3 × 3 2 ) ÷ 6 + 2 17. ( 2 3 × 3 2 ) ÷ (6 + 2) 18. (3 × 2 3 ) - (2 × 2 3 )

19. (16 + 2 2 × 3) ÷ 7 20. ( 3 3 × 2 + 6) ÷ (5 × 2) 21. ( 3 3 × 2 + 6) ÷ 5 × 2

Using Order of Operations with Powers


41 1512

20 5461

42 144270

26 6824

14 89

4 246

54 1320


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Course 1 52

NAME ________________________________________ DATE _____________ PERIOD _____

Using Order of Operations with Powers

1. 3 2 + 20 ÷ 4 2. 17 - ( 2 2 + 5) + 3 3. 7 2 - (4 + 2) × 4

4. 5 2 - 18 ÷ 3 5. 22 + 6 2 ÷ 2 6. 60 - 4 2 ÷ 4

7. 32 ÷ 2 × 3 2 8. 11 × ( 2 2 - 1) + 10 9. 21 ÷ 7 + ( 3 3 - 7)

10. 5 × 3 2 + 3 × 5 2 11. 5 × ( 3 2 + 3) × 5 2 12. ( 3 3 × 2 2 ) + ( 2 2 × 3 3 )

13. ( 3 3 ÷ 3) + ( 2 3 ÷ 8) 14. 11 × 2 3 + 2 3 15. 6 × 4 2 + 81 ÷ 3 3

16. ( 4 3 × 2 2 ) ÷ 4 + 15 17. ( 5 2 × 2 2 ) ÷ (15 + 5) 18. (3 × 3 3 ) - ( 2 2 × 2 3 )

19. (25 + 5 2 × 2 2 ) ÷ 5 20. ( 4 2 × 3 + 12) ÷ (3 × 4) 21. ( 2 3 × 4 - 2) ÷ 3 × 10


14 2511

144 2343

120 2161,500

10 9996

79 495

25 1005

19 5640


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53 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. 25 _ 100

2. 50 _ 100

3. 6 _ 10

4. 1 _ 2 5. 3 _

4 6. 3 _

10

7. 1 _ 4 8. 30 _

100 9. 1 _

10

Fractions, Decimals, and Percents

Write each fraction as a decimal and as a percent.

10. 0.75 11. 0.4 12. 0.5

13. 0.35 14. 0.7 15. 0.25

16. 0.8 17. 0.55 18. 0.9

Write each decimal as a fraction in simplest form and as a percent.

0.25; 25% 0.6; 60%0.5; 50%

0.5; 50% 0.3; 30%0.75; 75%

0.25; 25% 0.1; 10%0.3; 30%

3

_ 4 ; 75% 1

_ 2 ; 50% 2

_ 5 ; 40%

7 _ 20

; 35% 1 _ 4 ; 25% 7

_ 10

; 70%

4 _ 5 ; 80%

9

_ 10

; 90% 11

_ 20

; 55%


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Course 1 54

NAME ________________________________________ DATE _____________ PERIOD _____

Fractions, Decimals, and Percents

Write each fraction as a decimal and as a percent.

1. 1 _ 2 2. 2 _

10 3. 3 _

4

4. 75 _ 100

5. 5 _ 10

6. 40 _ 100

7. 9 _ 10

8. 2 _ 4 9. 15 _

100

10. 0.1 11. 0.6 12. 0.25

13. 0.55 14. 0.4 15. 0.3

16. 0.95 17. 0.7 18. 0.45

Write each decimal as a fraction in simplest form and as a percent.

0.5; 50% 0.75; 75%0.2; 20%

0.75; 75% 0.4; 40%0.5; 50%

0.9; 90% 0.15; 15%0.5; 50%

1 _ 10

; 10% 1 _ 4 ; 25%

3

_ 5 ; 60%

11

_ 20

; 55% 3

_ 10

; 30% 2 _ 5 ; 40%

19

_ 20

; 95% 9

_ 20

; 45% 7 _ 10

; 70%


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55 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Integers

Write an integer to represent each situation.

1. 25° below zero 2. $150 deposit 3. 1,000 feet above ground

4. 15-yard loss in football 5. an elevator goes up 3 floors

6. spent $18


7. 3 ● -3 8. -5 ● -2 9. 4 ● 5

10. -6 ● -2 11. 7 ● -5 12. 10 ● -10

Order each set of integers from least to greatest.

13. 4, -3, 2, -1 14. -5, -7, 1, 2 15. 8, 12, -5, 9

16. -15, 0, -9, 3 17. 16, 13, -5, -3 18. -14, -5, 8, -7

-25 +1,000 or 1,000+150 or 150

-15 -18+3 or 3

> <<

< >>

-3, -1, 2, 4 -5, 8, 9, 12-7, -5, 1, 2

-15, -9, 0, 3 -14, -7, -5, 8-5, -3, 13, 16


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Course 1 56

NAME ________________________________________ DATE _____________ PERIOD _____

Integers

Write an integer to represent each situation.

1. $270 deposit 2. 60° above zero 3. spent $30

4. an elevator descends 5 floors

5. 9-yard gain in football 6. 3 strokes below par


7. -7 ● 7 8. -3 ● -6 9. 8 ● 1

10. -12 ● -9 11. -4 ● 6 12. 1 ● -1

Order each set of integers from least to greatest.

13. 6, -1, 4, 1 14. -3, -5, 3, 4 15. 10, 14, -3, 11

16. -13, 2, -7, 5 17. 18, 15, -3, -1 18. -12, -3, 10, -5

+270 or 270 -30+60 or 60

-5 -3+9 or 9

< >>

< ><

-1, 1, 4, 6 -3, 10, 11, 14-5, -3, 3, 4

-13, -7, 2, 5 -12, -5, -3, 10-3, -1, 15, 18


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57 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Classifying Angles

Classify each angle as acute, right, obtuse, or straight.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15.

acute right obtuse

acute obtuse straight

right obtuse acute

straight acute right

obtuse right straight


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Course 1 58

NAME ________________________________________ DATE _____________ PERIOD _____

Classifying Angles

Classify each angle as acute, right, obtuse, or straight.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15.

right obtuse acute

acute straight obtuse

obtuse acute right

straight obtuse acute

right right straight


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59 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. 2.

3. 4.

5. 6.

7. 8.

9. 10.

Graphing Points on a Coordinate Plane

Name the ordered pair for each point graphed.

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

A(5, 4), B(8, 8)

C(7, 4), D(2, 3)

E(5, 8), F(9, 1)

G(6, 5), H(1, 2)

I(9, 9), J(4, 6)

K(2, 4), L(6, 1)

M(4, 8), N(7, 2)

P(5, 7), Q(9, 1)

R(2, 7), S(6, 4)

T(7, 3), U(8, 1)


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Course 1 60

NAME ________________________________________ DATE _____________ PERIOD _____

Graphing Points on a Coordinate Plane

Graph each ordered pair.

1. A(6, 1), B(3, 7)

2. C(2, 4), D(7, 7)

3. E(5, 3), F(9, 1)

4. G(2, 6), H(6, 9)

5. I(9, 3), J(4, 5)

6. K(1, 7), L(7, 4)

7. M(8, 3), N(3, 8)

8. P(1, 5), Q(6, 4)

9. R(3, 9), S(8, 6)

10. T(4, 7), U(8, 1)

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9

y

x

123456789

1 2 3 4 5 6 7 8 9


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61 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. Describe the data presented in the table.

2. Make a bar graph using the data in the table.

3. How many total students are recorded in your bar graph?

4. What is the range of the data?

5. How many teachers have a homeroom with more than 20 students?

6. How many of the homerooms have 25 or more students?

Displaying Data on Graphs

For Exercises 1–6, use the table that shows how many students are in each teacher’s homeroom.

Teacher Wilson Sanchez Brooks Ames Toshio

Student 27 23 29 19 25

For Exercises 7–10, use the table that shows the number of boys and girls in each homeroom.

Teacher Wilson Sanchez Brooks Ames Toshio

Boys 11 14 13 12 12

Girls 16 9 16 7 13


8. Make a double bar graph using the data in the table.

9. What is the range in the number of girls?

10. How many of the homerooms have 13 or more boys?

TABSW

20

10

0Hom

eroo

m S

tude

nts 30

Teacher

Homeroom Classes

ToshioAmesBrooksSanchezWilson

8

4

0

Hom

eroo

m S

tude

nts

12

16

Teacher

Homeroom ClassesBoys Girls

Sample answer: Only one homeroom has fewer than 20 students.

123 students 10 students

4 teachers 3 homerooms

Sample answer: From one homeroom to the next, the number of boys is more consistent than the number of girls.

9 girls 2 homerooms


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Course 1 62

NAME ________________________________________ DATE _____________ PERIOD _____

For Exercises 1–6, use the table that shows how many victories Jeremy’s high school football team had each year.

Displaying Data on Graphs

6 11 8

Year 2008 2009 2010

Victories

2011

10


2. Make a line graph using the data in the table.

3. Between which two years did Jeremy’s team have the greatest increase in victories?

4. Between which two years did Jeremy’s team have the greatest decrease in victories?

5. How many total victories did Jeremy’s team have over his four years?

6. Based on the data shown in the line graph, predict how many victories the team will have in the year 2012. Explain.

For Exercises 7–10, use the table that shows how many victories Darnell and Jeremy’s football teams had each year.


8. Make a double line graph using the data for Darnell’s team and Jeremy’s team.

9. What is the difference in the total number of victories for the teams over the four years?

10. How many of Darnell’s seasons had 9 or more victories?

y

xNum

ber o

fVi

ctor

ies

10

5

0

15

2008 2009 2010 2011Year

Football Victories2008–2011

JeremyDarnell

Year 2008 2009 2010

Darnell’s Victories

2011

Jeremy’s Victories

7

6

9

11

10

8

9

10

Sample answer: The victory total fluctuated from year to year. The values range from 6 to 11 victories.

Num

ber o

fVi

ctor

ies

10

5

0

15

2008 2009 2010 2011Year

Football Victories2008–2011

2008–2009 2009–2010

35 victories

Sample answer: The team will win 9 games because that is consistent with their performance over the last four years.

Sample answer: Darnell won more games in 2008 and 2010. Jeremy won more games in 2009 and 2011.

They have the same number of victories.3 seasons


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63 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. The height of a grown man is about six _________________.

2. The weight of a large bag of potato chips is about 1 _________________.

3. Milk is sold in containers that are usually 1 _________________.

4. A regulation basketball court has a length of 94 _________________.

5. The most common unit for measuring the distance between two cities is _________________.

6. A car might weigh 2 ________________.

Measurement: The Customary System

Complete the following sentences with the most reasonable unit of customary measure.

7. The height of a typical house is 30 (feet, inches, yards).

8. A large hamburger would weigh about 8 (pounds, ounces, tons).

9. A passenger plane flies at an elevation of about 30,000 (miles, yards, feet).

10. A single scoop of ice cream is about 1 (quart, pint, cup).

11. When he is lifting weights, Kenji can bench press 195 (pounds, tons, ounces).

12. For her large party, Mrs. Glover should have about 4 (ounces, pints, gallons) of punch.

Choose the best estimate by circling the most appropriate unit in the parentheses.

? ?

? ?

?

?

feet

gallon

miles tons

feet

pound

feet

feet cup

ounces

pounds gallons


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Course 1 64

NAME ________________________________________ DATE _____________ PERIOD _____

Measurement: Weight in the Customary System

1. A slice of bread weighs about 1 __________.

2. A carton of butter weighs about 1 __________.

3. A small car weighs about 1__________.

4. A grown man might weigh about 175 __________.

5. It costs 42¢ to mail a first-class letter weighing no more than 1 __________.

6. A sign posted just before the entrance to a small country bridge warned of a 3 __________ weight limit.

Complete each sentence with the most reasonable unit of weight: ounce(s), pound(s), or ton(s).

7. Which is the best estimate for the weight of a whale: 2 ounces, 2 pounds, or 2 tons?

8. Which is the best estimate for the weight of a calculator: 4 ounces, 4 pounds, or 4 tons?

9. Which is the best estimate for the weight of a vacuum cleaner: 30 ounces, 30 pounds, or 30 tons?

10. Which is the best estimate for the weight of a volleyball: 9 ounces, 9 pounds, or 9 tons?

11. Which is the best estimate for the weight of a serving of cereal: 1 ounce, 1 pound, or 1 ton?

12. Which is the best estimate for the weight of a bag of dog food: 10 ounces, 10 pounds, or 10 tons?

Choose the best estimate.

?

? ?

?

?

?

ounce

ton

ounce ton

pounds

pound

2 tons

30 pounds 9 ounces

4 ounces

1 ounce 10 pounds


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65 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Measurement: Length, Capacity, and Weight in the

Customary System

1. The length of a shoe is about 9 __________.

2. A pitcher contains about 2 __________ of lemonade.

3. A bag of potatoes weighs about 5 __________.

4. The length of a bike path is 15 __________.

5. A family can drink about 2 __________ of juice each week.

6. A slice of lunch meat weights about 1 __________.

Complete each sentence with the most reasonable unit of measure: inch(es), foot(feet), yard(s), mile(s), cup(s), pint(s), quart(s), gallon(s), ounce(s), pound(s), or ton(s).

7. Which is the best estimate for the height of a classroom: 3 feet, 3 yards, or 3 miles?

8. Which is the best estimate for the amount of stain needed to paint a porch deck: 2 cups, 2 pints, or 2 gallons?

9. Which is the best estimate for the weight of a carton of yogurt: 8 ounces, 8 pounds, or 8 tons?

10. Which is the best estimate for the length of a sofa: 8 inches, 8 feet, or 8 yards?

11. Which is the best estimate for the amount of sugar needed to make a cake: 1 cup, 1 quart, or 1 gallon?

12. Which is the best estimate for the weight of an elephant: 4 ounces, 4 pounds, or 4 tons?

13. Which is the best estimate for the height of a child: 3 inches, 3 feet, or 3 yards?

14. Which is the best estimate for an individual serving of ice cream: 1 cup, 1 pint, or 1 gallon?


?

? ?

?

?

?

inches

pounds

gallons ounce

miles

quarts

3 yards

8 ounces 8 feet

2 gallons

1 cup 4 tons

3 feet 1 cup


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Course 1 66

NAME ________________________________________ DATE _____________ PERIOD _____

Measurement: Temperature

1. Water freezes at 0° _____________. 2. A normal body temperature would be 98.6° _____________.

3. Water boils at 212° _____________. 4. Water freezes at 32° _____________.

5. A normal body temperature would be 37° _____________.

6. Water boils at 100° _____________.

Complete each sentence with the most reasonable temperature: Celsius or Fahrenheit.

7. Which is the best estimate for the temperature of hot chocolate: 110°F or 60°F?

8. Which is the best estimate for the temperature on a snowy day: 15°C or -5°C?

9. Which is the best estimate for the temperature on a good day for swimming: 10°C or 30°C?

10. Which is the best estimate for the temperature of ice cream: 20°F or 20°C?

11. Which is the best estimate of the temperature for baking a pie: 180°C or 80°C?

12. Which is the best estimate for a normal room temperature: 72°F or 72°C?


?

? ?

?

?

?

Celsius

Fahrenheit

Celsius Celsius

Fahrenheit

Fahrenheit

110ºF

30ºC 20ºF

-5ºC

180ºC 72ºF


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67 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Measurement: The Metric System

1. The mass of a ring band is about 3 __________.

2. A pitcher contains about 2 __________ of lemonade.

3. A box of rice has a mass of about 1 __________.

4. The amount of water in a bottle for an individual serving is 1.5 __________.

5. An infant has a mass of about 3 __________.

6. You could pour 75 __________ of syrup on your pancakes.

Complete each sentence with the most reasonable unit of measure: kiloliter(s), liter(s), milliliter(s), kilogram(s), gram(s), or milligram(s).

7. Which is the best estimate for the mass of a drinking straw: 2 milligrams, 2 milliliters, 2 kilograms, or 2 kiloliters?

8. Which is the best estimate for the amount in a family size box of rice: 0.9 gram, 0.9 kilogram, or 0.9 milligram?

9. Which is the best estimate for the amount of soup in a can: 473 milligrams, 473 kilograms, 473 liters, or 473 milliliters?

10. Which is the best estimate for the capacity of a backyard swimming pool: 75 milligrams, 75 grams, 75 liters, or 75 kiloliters?

11. Which is the best estimate for the amount of fruit punch needed at a small birthday party: 18 milliliters, 18 liters, 18 milligrams, or 18 grams?

12. Which is the best estimate for the mass of a tiger: 200 grams, 200 liters, 200 kiloliters, or 200 kilograms?

13. Which is the best estimate for the mass of a pencil’s eraser: 3 kilograms, 3 grams, 3 kiloliters, or 3 milliliters?

14. Which is the best estimate for the mass of a small bird: 100 milliliters, 100 liters, 100 milligrams, or 100 grams?


?

? ?

?

?

?

grams

kilogram

kilograms milliliters

liters

liters

2 milligrams

473 milliliters 75 kiloliters

0.9 kilogram

18 liters 200 kilograms

3 grams 100 grams


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Course 1 68

NAME ________________________________________ DATE _____________ PERIOD _____

Measurement: The Metric System

Complete each sentence with the most reasonable metric unit of measure.

1. The amount of medicine in a hypodermic needle is measured in (L, mL, kL).

2. Danny races for his team in the 100 (cm, m, km) dash.

3. A professional football player might have a mass of 130 (mg, g, kg).

4. A common size for a bottle of soda is 2 (L, mL, kL).

5. There are about 2.5 (mm, cm, m) in one inch.

6. Olivia’s aquarium has a capacity of 200 (mL, L, kL).

7. An automobile on a highway would be traveling at about 100 (cm, m, km) per hour.

8. The amount of water in a reservoir would be measured with (mL, L, kL).

9. A typical doorway is about 2 (cm, m, km) tall.

10. The amount of medicine in a pain-reliever is measured in (mg, g, kg).

11. The tip of a pen is about 1 (mm, cm, m) wide.

12. Nutritional information labels tell how many (mg, g, kg) of fat are in a food product.

mL

kg

cm L

L

m

km

m mg

kL

mm g


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69 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Measurement: Capacity in the Metric System

1. Alicia bought 2 __________ of soda. 2. There are about 473 __________ of juice in an individual bottle.

3. The amount of water to fill a swimming pool would be measured using __________.

4. An eyedropper has a capacity of about 1 __________.

5. The gas in the tank of a car would be measured using __________.

6. The liquid in a thermometer would be measured using __________.

Complete each sentence with the most reasonable unit of capacity: kiloliter(s), liter(s), or milliliter(s).

?

??

?

?

?

7. Which is the capacity of an average bathtub: 80 milliliters, 80 liters, or 80 kiloliters?

8. Which is the best estimate for the amount of vanilla needed to flavor a batch of cookies: 3 milliliters, 3 liters, or 3 kiloliters?

9. Which is the best estimate for the capacity of a home aquarium: 38 milliliters, 38 liters, or 38 kiloliters?

10. Which is the best estimate for the amount of water used by a fire department to fight a fire: 500 milliliters, 500 liters, or 500 kiloliters?

11. Which is the best estimate for the amount of honey used to sweeten a cup of hot tea: 2 milliliters, 2 liters, or 2 kiloliters?

12. Which is the best estimate for the amount of soda served in a popular restaurant each day: 1 milliliter, 1 liter, or 1 kiloliter?


liters

kiloliters

liters milliliters

milliliter

milliliters

80 liters

38 liters 500 kiloliters

3 milliliters

2 milliliters 1 kiloliter


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Course 1 70

NAME ________________________________________ DATE _____________ PERIOD _____

1. A small paper clip has a mass of about 1 __________.

2. A dictionary has a mass of about 1 __________.

3. A grain of salt has a mass of about 1 __________.

4. The mass of a cow would best be measured in __________.

5. The mass of a vitamin would best be measured in __________.

6. The mass of a dollar bill would best be measured in __________.

Complete each sentence with the most reasonable unit of mass: kilogram(s), gram(s), or milligram(s).

?

? ?

? ?

7. Which is the best estimate of the mass of an adult female: 65 milligrams, 65 grams, or 65 kilograms?

8. Which is the best unit to estimate the mass of a candy bar: 20 milligrams, 20 grams, or 20 kilograms?

9. Which is the best unit to estimate the mass of pencil lead: 2 milligrams, 2 grams, or 2 kilograms?

10. Which unit would provide the best estimate for the mass of a small ham: 5 milligrams, 5 grams, or 5 kilograms?

11. Which is the best unit to estimate the mass of a meadow mouse: 15 milligrams, 15 grams, or 15 kilograms?

12. Which unit would provide the best estimate for the mass of an adult male harbour seal: 230 milligrams, 230 grams, or 230 kilograms?


Measurement: Mass in the Metric System

?

gram

milligram

milligrams milligrams

kilograms

kilogram

65 kilograms

2 milligrams 5 kilograms

20 grams

15 grams 230 kilograms


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71 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. The length of a goldfish could be about 3 __________.

2. Soda is usually sold in bottles with a capacity of 2 __________.

3. The weight of an adult woman is about 135 __________.

4. Water freezes at 0° __________.

5. Olympic swimmers can complete a 200 __________ freestyle event.

6. A small filet of steak to serve one person could weigh 5 __________.

Complete each sentence with the most reasonable unit of measure.

7. Which is the best estimate for the temperature of ice cubes: 20°F or 20°C?

8. Which is the best estimate for the distance a dinner cruise boat might travel: 10 meters, 10 inches, 10 millimeters, or 10 miles?

9. Which is the best estimate for the amount of beverage in a juice box: 236 milliliters, 236 gallons, 236 kiloliters, or 236 pints?

10. Which is the best estimate for the mass of a medium-sized dog: 22 tons, 22 grams, 22 kilograms, or 22 ounces?

11. Which is the best estimate for the temperature inside an ice skating facility: 10°F, 15°C, or 30°C?

12. Which is the best estimate for the height of a full-grown tree: 17 millimeters, 17 feet, 17 kilometers, or 17 miles?

13. Which is the best estimate for the amount of gas pumped into a car’s empty gas tank: 10 cups, 10 kiloliters, 10 gallons, or 10 pints?

14. Which is the best estimate for the mass of a grain of salt: 1 milligram, 1 gram, 1 pound, or 1 ton?


?

?

?

Measurement: Length, Capacity, Weight, and

Temperature

?

?

?

inches

pounds

meter ounces

Celsius

liters

20ºF

236 milliliters 22 kilograms

10 miles

15ºC 17 feet

10 gallons 1 milligram


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Course 1 72

NAME ________________________________________ DATE _____________ PERIOD _____


Temperature


1. The temperature of a hot day could be 87° __________.

2. The lead sold for mechanical pencils is 0.7 __________ in width.

3. When making brownies, you usually add 1 __________ of sugar.

4. Some trucks with heavy loads can weigh 4 __________.

5. Ice cream should be stored in a space cooler than 0º __________.

6. Experienced bike riders can travel about 40 __________ each hour.

?

? ?

? ?

7. Which is the best estimate of the amount of water needed to fill a community swimming pool: 360 liters, 360 kiloliters, 360 cups, or 360 pints?

8. Which is the best estimate for the mass of a box of paper clips: 100 grams, 100 pounds, 100 milligrams, or 100 kilograms?

9. Which is the best estimate for the temperature of boiling water: 30°C, 100°F, 80°C, or 215°F?

10. Which is the best estimate for the length of a garden hose: 8 kilometers, 8 yards, 8 feet, or 8 inches?

11. Which is the best estimate for the amount of ice cream needed for a family’s dessert: 2 cups, 2 pints, 2 milliliters, or 2 ounces?

12. Which is the best estimate for the mass of a small squirrel: 200 pounds, 200 tons, 200 kilograms, or 200 grams?

13. Which is the best estimate for the temperature of hot coffee: 150°F, 94°F, 30°C, or 150°C?

14. Which is the best estimate for the length of a soccer field: 120 yards, 120 feet, 120 millimeters, 120 kilometers?


?

Fahrenheit

cup tons

millimeter

Celsius kilometers

360 kiloliters 100 grams

215°F 8 yards

2 pints 200 grams

150° F 120 yards


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73 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____



Temperature

1. When changing the oil in a car, you usually replace 4 __________ of oil.

2. Newborn babies usually weigh between 7 and 10 __________.

3. A person with a fever could have a temperature of 38° __________.

4. The length for a large sailboat could be 75 __________.

5. When making macaroni and cheese, it is suggested that the noodles are boiled in 6 __________ of water.

6. A certain chocolate chip cookie recipe includes 8 __________ of chocolate chips in the ingredient list.

?

? ?

??

7. Which is the best estimate for the temperature of a hot tub: 100°F or 100°C?

8. Which is the best estimate for the distance someone could walk in one hour: 4 meters, 4 kilometers, 4 millimeters, or 4 yards?

9. Which is the best estimate for the amount of punch needed at a party: 8 gallons, 8 milliliters, 8 cups, or 8 pints?

10. Which is the best estimate for the mass of a shoe: 227 kilograms, 227 pounds, 227 tons, or 227 grams?

11. Which is the best estimate for the temperature of the water in the Atlantic Ocean off the coast of North Carolina in June: 65°C, 65°F, or 30°C?

12. Which is the best estimate for the height of a television: 18 millimeters, 18 inches, 18 feet, or 18 yards?

13. Which is the best estimate for the amount of coffee creamer in one carton: 1 milliliter, 1 pint, 1 gallon, or 1 kiloliter?

14. Which is the best estimate for the mass of a textbook: 1 ounce, 1 ton, 1 kilogram, or 1 milligram?


?

quarts

Celsius feet

pounds

cups ounces

100° F 4 kilometers

8 gallons 227 grams

65°F 18 inches

1 pint 1 kilogram


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Course 1 74

NAME ________________________________________ DATE _____________ PERIOD _____



Temperature

1. A reasonable oven temperature for cooking would be 176° __________.

2. Using the metric system, the distance between two houses in a suburban neighborhood could be 4 __________.

3. There are 1,000 __________ in each liter.

4. Often, bridges will have warning signs for the number of __________ a vehicle can weigh and safely travel across.

5. An adult with a fever could have a temperature of 101° __________.

6. Highway speed limits are often 65 __________ per hour.

?

??

? ?

7. Which is the best estimate of the amount of iced tea served in an amusement park on a summer day: 50 milliliters, 50 liters, 50 quarts, or 50 kiloliters?

8. Which is the best estimate for the mass of a teaspoon of salt: 200 milligrams, 200 kilograms, 200 pounds, or 200 tons?

9. Which is the best estimate for a temperature at which water would freeze: 25°C, 40°F, 34°F, or -5°C?

10. Which is the best estimate for the length of a small beetle: 12 meters, 12 millimeters, 12 inches, or 12 miles?

11. Which is the best estimate for the amount of water in a pitcher: 3 cups, 3 milliliters, 3 liters, or 3 gallons?

12. Which is the best estimate for the mass of a male giraffe: 1,900 grams, 1,900 tons, 1,900 ounces, or 1,900 kilograms?

13. Which is the best estimate for the length of a pair of men’s pants: 32 inches, 32 feet, 32 meters, or 32 millimeters?

14. Which is the best estimate for the amount of vanilla added to cookie batter: 29 milliliters, 29 milligrams, 29 cups, or 29 quarts?


?

milliliters tons

Celsius meters

Fahrenheit miles

50 kiloliters 200 milligrams

-5°C 12 millimeters

3 liters 1,900 kilograms

32 inches 29 milliliters


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75 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

Perimeter and Area of Rectangles

1. 21 cm

6 cm

2. 40 in.

40 in.

3. 14 yd

7 yd

4. 28 cm

18 cm

5. Find the perimeter of a rectangle that has a height of 48 kilometers and a base of 31 kilometers.

6. What is the perimeter of a square that has 18-inch sides?

7. A rectangle has a base of 70 inches and a height of 103 inches. Find the perimeter of the rectangle.

8. Find the perimeter of a rectangle that has a height of 33 feet and a base of 18 feet.

9. If the perimeter of this rectangle is 164 centimeters, what is its base?

10. The perimeter of a square is 22 inches. What is the length of each side?

Solve.

Find the perimeter of each rectangle.

x cm

30 cm

54 cm

160 in.

42 yd 92 cm

158 km 72 in.

346 in. 102 ft

5.5 in.52 cm


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Course 1 76

NAME ________________________________________ DATE _____________ PERIOD _____


Find the area of each rectangle.

1. 25 in.

16 in.

2. 15 mm

15 mm

3. 12

4 yd

yd12

4. 144 in.

60 in.

5. Find the area of a rectangle that has a base of 13 feet and a height of 9 feet.

6. What is the area of a rectangle that has a height of 140 millimeters and a base of 120 millimeters?

7. How long is one side of a square that has an area of 81 square meters?

8. Find the height of a rectangle that has a base of 20 centimeters and an area of 360 square centimeters.

9. Find the base of a rectangle that has a height of 6 feet and an area of 39 square feet.

10. The area of the rectangle is 42.5 square meters. Find the value of x.

Solve.

5 m

x m

400 in 2

50 yd 2 8,640 in 2

117 ft 2 16,800 mm 2

9 m 18 cm

225 mm 2

8.56.5 ft


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77 Course 1

NAME ________________________________________ DATE _____________ PERIOD _____

1. P = ___________ A = ___________ 2. P = ___________

A = ___________

3. Find the perimeter and area of a rectangle that has a height of 7 meters and a base of 20 meters.

4. What is the perimeter and area of a rectangle that has a base of 12 inches and a height of 10 1 _

2 inches?

5. If the area of this rectangle is 490 square meters, what is its perimeter?

6. Find the area of the rectangle if it has a perimeter of 31.4 meters.

7. Find the dimensions of a rectangle that has a perimeter of 60 centimeters and an area of 200 square centimeters.

8. Find the dimensions of a square that has a perimeter of 72 inches and an area of 324 square inches.

9. Which has the greater perimeter, a square with an area of 100 square millimeters or a rectangle with a width of 18 millimeters and an area of 90 square millimeters?

10. Which has the greater area, a square with a perimeter of 100 inches or a rectangle with a width of 5 inches and a length of 120 inches?

Solve.


Find the perimeter and area of each rectangle.

27 mm

18 mm

2 ft

2 ft

35 m

x m12.5 m

x m

90 mm

54 m; 140 m 2

486 mm 2 8 ft

4 ft 2

45 in.; 126 in 2

98 m 40 m 2

10 cm by 20 cm 18 in. by 18 in.

the rectangle the square


quick review skills workbook

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