MATH SKIL

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Contents include:

■

Practice worksheets for

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for use or sale, is prohibited without prior written permission of the publisher.

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Math Skill Page

1 Using Order of Operations with Powers . . . 1

2 Divisibility Patterns . . . 3

3 Prime Factorization . . . 5

4 Greatest Common Factor . . . 7

5 Equivalent Fractions . . . 9

6 Simplifying Fractions . . . 11

7 Least Common Multiple. . . 13

8 Comparing and Ordering Decimals . . . 15

9 Adding and Subtracting Decimals . . . 17

10 Multiplying Decimals . . . 19

11 Dividing Decimals . . . 21

12 Multiplying and Dividing Decimals . . . 23

13 Operations with Decimals . . . 25

14 Estimating with Decimals. . . 29

15 Mixed Numbers and Improper Fractions . . . 31

16 Adding and Subtracting Fractions with Like Denominators . . . 34

17 Adding and Subtracting Fractions with Unlike Denominators . . . 36

18 Adding and Subtracting Fractions . . . 38

19 Adding and Subtracting Mixed Numbers . . . 40

20 Multiplying Fractions and Mixed Numbers. . . 42

21 Dividing Fractions and Mixed Numbers . . . 44

22 Operations with Fractions and Mixed Numbers. . . 46

23 Adding Integers . . . 48

24 Subtracting Integers . . . 50

25 Adding and Subtracting Integers . . . 52

26 Multiplying Integers . . . 54

27 Dividing Integers . . . 56

28 Multiplying and Dividing Integers. . . 58

29 Identifying Properties. . . 60

30 Using Properties . . . 62

31 Measurement: The Customary System . . . 64

32 Measurement: The Metric System. . . 67

33 Perimeter and Area of Rectangles . . . 70

34 Graphing Points on a Coordinate Plane . . . 73

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(5)

Find the value of each expression.

1. 52_⫹₈ _⫻₆ _2. ₁₂2_{÷ 6}_⫹₍₃

ⴢ5) 3. 33ⴢ2⫹64 ÷ 42

4. 9 ⫹7 ⫻(7⫺8⫼2)2 5. (72⫹1)⫼5 ⫹13 6. 100⫺23⫹8ⴢ7

7. (100 ⫺23⫹8)ⴢ7 8. 2[52⫺(8⫹4)⫼3] 9. (22⫹3)(32⫹2)

10. (22_⫹₃₎_⫹₍₃2_⫹₂₎ _11. ₇2

ⴢ8⫼7⫹4 12. 99⫺42ⴢ3 ⫼2

13. 82_⫼₄3_⫹₁ _14. ₉2_⫼₍₇_⫹₂₎2_⫹₅₀ _15. ₍₁₀2_⫼₅2₎ ⴢ25

16. (1⫹2)3⫹(2⫹3)2 17. (2⫹52) ⫼(32) 18. 33 ⫹1ⴢ15 ⫼5

19. 72_⫺₆

ⴢ2⫼3 20. 47⫺7⫹5ⴢ24 21. 62⫺3 ⴢ4⫹(23⫹1)

Using Order of Operations with Powers

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Find the value of each expression.

1. 23_⫹₉ _⫻₅ _2. ₁₀2_⫼₄_⫹₍₄

ⴢ 6) 3. 42ⴢ3⫹63 ⫼32

4. 11 ⫹9⫻(10⫺9 ⫼3)2 5. (52⫹1)⫼2 ⫹26 6. 80⫺33⫹6ⴢ7

7. (80⫺33⫹6)ⴢ7 8. 5[82⫺(10⫹5)⫼3] 9. (42⫹5)(52⫹4)

10. (62_⫹₅₎_⫹₍₅2_⫹₆₎ _11. ₉2

ⴢ2⫼9⫹15 12. 75⫺52ⴢ2 ⫼5

13. 102_⫼₅2_⫹₆₀ _14. ₁₂2_⫼₍₄_⫹₂₎2_⫹₁₀₀ _15. ₍₈2_⫼₄2₎ ⴢ 30

16. (1⫹1)3ⴢ(1⫹1)2 17. (32⫹52)⫼(17) 18. 45⫹2ⴢ14 ⫼7

19. 92_⫺₈

ⴢ3⫼4 20. 88⫺6⫹2ⴢ32 21. 52⫺2 ⴢ3⫹(42⫹2)

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Determine whether each given number is divisible by 2, 3, 4, 5, 6, 9, or 10.

1. 12 2. 40 3. 94

4. 156 5. 275 6. 418

7. 690 8. 813 9. 997

10. 1,400 11. 1,358 12. 2,115

13. 4,990 14. 5,783 15. 10,556

Divisibility Patterns

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Determine whether each given number is divisible by 2, 3, 4, 5, 6, 9, or 10.

1. 18 2. 60 3. 92

4. 168 5. 425 6. 499

7. 678 8. 825 9. 962

10. 1,600 11. 1,855 12. 2,337

13. 4,448 14. 6,950 15. 12,261

(9)

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

Prime Factorization

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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

(11)

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

1. 24; 42 2. 14; 32 3. 25; 85

4. 66; 44 5. 16; 76 6. 21; 56

7. 45; 105 8. 18; 54 9. 72; 120

10. 88; 132 11. 78; 130 12. 340; 408

13. 128; 512 14. 165; 345 15. 1,000; 1,280

Greatest Common Factor

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

1. 12; 16; 44 2. 14; 28; 56

3. 20; 62; 72 4. 35; 60; 95

5. 18; 36; 87 6. 48; 112; 136

7. 34; 51; 102 8. 108; 162; 189

9. 120; 160; 212 10. 125; 225; 325

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Find the value that will make each set of fractions equivalent.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15. 4

(14)

Find any fraction equivalent to the given fraction.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15.

16. 17. 18.

19. 12 20. 5 21. 11

(15)

Write each fraction in simplest form.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15. 65

100 45

81 49

98

15 60 36

48 12

27

39 117 17

85 38

57

24 30 21

49 25

40

4 26 18

36 7

21

Simplifying Fractions

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Write each fraction in simplest form.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15. 60

135 24

120 18

27

12 16 76

95 22

55

40 8 21

70 33

36

28 84 42

75 81

9

7 16 24

60 15

18

(17)

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

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

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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

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Replace each ●_with_⬍_,_⬎_{, or}_⫽_{to make a true sentence.}

1. 0.103●_0.094 _2. _0.805●_0.81 _3. _4.23●_42.3

4. 6.20 ●_6.2 _5. _3.275 ●_3.199 _6. _8.0353 ●_8.035

7. 12 ●_12.00 _8. _0.0093 ●_0.1001 _9. _123.53 ●_12.353

10. 6.51●_6.5 _11. _0.315 ●_0.351 _12. _216.6 ●_216.48

13. 11.01●_11.0100 _14. _0.204 ●_0.24 _15. _0.75 ●_0.80

Comparing and Ordering Decimals

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Order the given numbers from least to greatest.

1. 0.03, 0.3, 0.003, 3.00 2. 1.198, 11.98, 0.1198, 0.1918

3. 2.3, 2.03, 2.13, 2.033 4. 8.422, 8.4, 8.224, 0.8994

5. 0.65, 0.605, 0.5, 0.61 6. 2.1, 2.11, 2.02, 2

Order the given numbers from greatest to least.

7. 6.312, 6.123, 6.331, 6.321 8. 0.543, 0.544, 5.430, 4.350

9. 12.212, 12.122, 12.221, 12.3 10. 8.88, 8.888, 8.088, 8.188

11. 0.009, 0.091, 0.09, 0.1 12. 4.62, 4.06, 4.61, 6.41

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Find each sum or difference.

1. 1.39 2. 2.8 3. 23

⫹0.68 ⫺0.67 ⫺ 4.93

4. 2.09 5. 16.52 6. $3.56

12.21 ⫺ 7.92 ⫺ $0.49

⫹3.32

7. 36 ⫹215.5⫹4.63⫽ 8. $14.75 ⫺$6.98⫽ 9. 7.02 ⫺4.88 ⫽

10. 68.7⫹1.47 ⫽ 11. 15⫺12.66⫽ 12. 54.54⫹7.07⫹9.2⫽

Solve.

13. Latisha began shopping 14. Three pieces of 15. A weightlifter lifted with $20. She bought cardboard are 1.18 46.8 kilograms on his lunch for $4.49 and a inches, 0.38 inch, and first attempt. His next CD for $13.91. How 6.34 inches thick. lift was 50 kilograms. much money does she If the pieces are How much more weight

have left? stacked, what is the did he lift on his second

thickness of the attempt?

three pieces?

Adding and Subtracting Decimals

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Find each sum or difference.

1. 43.86 2. 7.34 3. 523.87

⫺22.92 ⫹9.59 ⫺14.86

4. 108.82 5. 62.10 6. $42.13

⫹77.40 ⫹15.58 ⫺$18.94

7. 71.75 ⫹8.9⫹223.50 ⫽ 8. 53.27⫹88⫹19.99⫽ 9. $545.19⫺$112.28⫽

10. 38.02⫺3.65⫽ 11. 78.09⫺14.92⫽ 12. 312.07⫹29.86⫽

Solve.

13. On a business trip, 14. Marcy went to the 15. Omar ran the 100-meter Mr. Perez put 12.38 grocery store with sprint in 10.82 seconds. gallons, 13.09 gallons, $15.00. She bought two Jamal ran the same sprint and 11.45 gallons of 12-packs of soda that in 10.39 seconds. How gasoline in his car. cost $2.99 each and a much more time did it How many gallons of bag of potato chips for take Omar than Jamal to gasoline did he use all $1.99. How much finish the sprint?

together? money does she have

left?

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Find each product.

1. 2.5 2. 6.9 3. 46.8

⫻13 ⫻53 ⫻ 5.2

4. 164 5. 9.1 6. 922.2

⫻8.8 ⫻5.3 ⫻ 0.4

7. 8.2⫻5.9⫽ 8. 20.7⫻11.4 ⫽ 9. 33.2⫻9.2⫽

10. 15.1⫻12 ⫽ 11. 4.8⫻6.5⫽ 12. 16.6⫻0.6⫽

Solve.

13. Katie worked 40.5 14. To build an addition for 15. Over the course of five hours this week. She his house, Mr. Toshio months, Olivia noticed an makes $8 per hour. needs 18 sections of average of 2.5 inches of How much money did paneling that are each rainfall per month. How she earn this week? 7.5 feet long. How much total rainfall did she

many total feet of observe over the

five-paneling does month period?

Mr. Toshio need?

Multiplying Decimals

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Find each product.

1. 7.19 2. $56.24 3. 80.4

⫻3.09 ⫻ 12 ⫻ 2.34

4. $10.16 5. 4.81 6. 9.03

⫻ 1.25 ⫻7.85 ⫻ 3.2

7. $11.75 ⫻16⫽ 8. 49.76 ⫻5.11⫽ 9. 237.02 ⫻8.3⫽

10. 3.15⫻2.7⫽ 11. 1.76⫻5.13 ⫽ 12. 12.25⫻1.28⫽

Solve.

13. The costume designer 14. Khalid purchased five 15. At her job, Annie earns for a drill team needs 12-packs of soda that $9.50 per hour. If Annie 3.25 yards of fabric to cost $3.59 each. How worked 32.5 hours last make one uniform. How much did Khalid spend week, how much money

much fabric is necessary on soda? did she earn?

if 44 uniforms are needed for the team?

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Find each quotient.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. $25.62⫼0.84⫽ 11. 40.05⫼4.5⫽ 12. 100.8⫼3.6⫽

Solve.

13. Marta ran a total of 14. Before taxes, Drew’s 15. A 20.5-ounce bottle of 6.25 miles on a pay was $173.25. If shampoo costs $4.51. 0.25-mile track. How he earns $8.25 per What is the price per

many laps did Marta hour, how many ounce?

run? hours did Drew work?

0.68冄44.2 4.7冄433.81

0.26冄111.02

8.1冄132.03 4.6冄$115

0.63冄756

0.7冄2.45 0.04冄0.92

0.3冄2.01

Dividing Decimals

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Find each quotient.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 34.32⫼0.12⫽ 11. 84.64⫼0.92⫽ 12. 209.33⫼17.3⫽

Solve.

13. Mrs. Rollins paid a 14. Sofia earned $255.75 15. Which is a better bargain, total of $11.25 for on her last paycheck. a 22.5 ounce box of cereal lunchmeat that was If she worked 15.5 that costs $3.60, or a 14.5 priced at $4.50 per hours, what is Sofia’s ounce box of the same

pound. How many hourly wage? cereal that costs $2.90?

pounds of lunchmeat did she buy?

6.7冄69.01 3.2冄28.16

2.04冄153

5.1冄113.73 13.1冄1,126.6

1.25冄32.5

12.3冄100.86 16.7冄136.94

0.3冄$30.66

(27)

Find each product or quotient.

1. 6.72 2. 3. 100.22

⫻ 4.3 ⫻ 0.34

4. 5. 51.07 6.

⫻ 12.8

7. 8.08 8. 9. $11.34

⫻ 6.3 ⫻ 10.5

10. 11. 112.6 12.

⫻ 7.07

Solve.

13. Ramon drove at 37.5 14. For a school fund-raiser, 15. Candy bought from the per hour for 1.5 hours. each person in Mr. bulk food section costs How far did he drive? Singh’s class walked $3.30 per pound. Sarah

5.25 miles. The whole wants 2.5 pounds of candy. class walked a total of How much will she have 126 miles. How many to pay?

people are in Mr. Singh’s class?

9.5冄24.13 2.2冄35.42

1.5冄54.75

0.24冄11.28 2.65冄3.71

1.85冄46.25

Multiplying and Dividing Decimals

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Find each product or quotient.

1. 2.02 2. 3. 7.43

⫻1.04 ⫻3.49

4. 5. 89.6⫻8.37 ⫽ 6. 18.75⫼0.75⫽

7. 219.22 8. 74.62 ⫼1.4⫽ 9. 40.25 ⫻12.8⫽

⫻ 0.7

10. 11. 17.7 ⫻6.48 ⫽ 12. 81.84⫼0.22⫽

Solve.

13. A carwash charges 14. In a survey, 2.25 times 15. California has 7.25 times $3.75 per wash. If the as many students as many counties as carwash made $315 in preferred pizza to hot Connecticut. If California one day, how many cars dogs. If 44 students has 58 counties, how many were washed? preferred hot dogs, how counties are in

many preferred pizza? Connecticut? 0.16冄6.64

0.09冄10.89

4.2冄375.06

(29)

Find each sum, difference, product, or quotient.

1. 514.67 2. 13.92 3. 74.07

⫹122.8 ⫻ 52 ⫺12.68

4. 5. 375.8 6. 108.47

⫺ 22.96 ⫹ 16.60

7. 98.09 8. 56.03 ⫺22.75⫽ 9.

⫻ 4.8

10. 94.45 11. 126.18 ⫼3.6 12. 62.93 ⫻8.6⫽

⫹ 7.75

13. 64.71_⫺25.82_⫽ 14. 2.56冄3.2 15. 46.8_⫹7.91 _⫽

3.5冄78.4 0.84冄27.3

Operations with Decimals

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Find each sum, difference, product, or quotient.

1. 17.08 2. 346.72 3.

⫻ 5.4 ⫺ 106.80

4. 82.65 5. 608.2 ⫺59.34⫽ 6. 1,903.05

⫹ 47.83 ⫹ 432.98

7. 44.1 ⫼9.8⫽ 8. 16.62 9. 307.09⫹45.6⫽

⫻ 0.8

10. 845.2 11. 12. 61.6 ⫻22.01 ⫽

⫺ 6.78

13. 407.3 14. 31.25 15. 743.59 ⫹88.8⫽

⫺ 186.94 ⫻ 0.44

5.12冄16.64

7.5冄8.46

(31)

Find each sum, difference, product, or quotient.

1. 98.93 2. 18.81 3.

⫻ 0.6 ⫹ 6.70

4. 2,045.56 5. 908.33 ⫹606.17⫽ 6. 122.5

⫺ 202.80 ⫻ 6.4

7. 249.6 ⫼3.25⫽ 8. 52.20 9.

⫺ 8.44

10. 7,500.64 11. 803.8 ⫺45.77⫽ 12. 87.86⫻0.4⫽

⫹1,275.70

13. 99.42 14. 15. 319.1

⫻ 2.6 ⫺ 72.43

5.5冄105.6

9.5冄425.6 0.85冄5.61

Operations with Decimals

(32)

Find each sum, difference, product, or quotient.

1. 2. 27.24 3. 707.3⫹336.96⫽

⫺ 18.99

4. 224.4 5. 50.5 6.

⫺ 81.75 ⫻ 8.6

7. 5,044.5 8. 904⫻6.25⫽ 9. 61.1 ⫺53.62 ⫽

⫹ 378.89

10. 112.7⫼4.9⫽ 11. 328.46 12. 217.17

⫹ 12.77 ⫺ 86.50

13. 46.65⫻0.8⫽ 14. 812.6 15.

⫻ 1.45

15.2冄258.4 0.32冄52.24 6.2冄151.28

(33)

Estimate each sum, difference, product, or quotient.

1. 5,402.08 2. 67.55 3.

⫹ 782.91 ⫻ 4.3

4. 6,992.46 5. 476.37 6. 27.06

⫺1,433.64 ⫻ 19.1 ⫹ 8.01

7. 834.34 ⫼38.1⫽ 8. 774.28 ⫺685.1⫽ 9. 1,002.33 ⫺566.89⫽

10. 282.05 11. 46.6 12.

⫹ 98.36 ⫻ 5.1

13. 940.94 14. 4,809.23 15.

⫻ 25.20 ⫺ 371.80

6.72冄213.46 8.6冄176.04 11.25冄127.14

Estimating with Decimals

(34)

Estimate each sum, difference, product, or quotient.

1. 306.6 2. 8,623.09 3. 73.33⫻18.4⫽

⫹ 72.7 ⫺ 2,356.81

4. 5. 506.22 6.

⫻ 4.03

7. 3,540.8 8. 908.63 ⫺443.24⫽ 9. 5,636.67 ⫼38.3⫽

⫹ 871.99

10. 86.74⫺32.59⫽ 11. 1,684.08 12. 546.35

⫻ 2.64 ⫹ 267.25

13. 3,979.76⫹3,023.43⫽ 14. 15. 214.36

⫻ 329.81

38.05冄1,196.64

8.41冄482.26 56.3冄718.67

(35)

Write each improper fraction as a mixed number.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15. 212

9 199

6 237

7

84 5 73

11 109

8

29 4 16

3 43

10

38 7 11

2 49

9

8 3 26

5 13

4

Mixed Numbers and Improper Fractions

(36)

Write each mixed number as an improper fraction.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15. 148

13 3217

25 619

20

111 2 99

13 142

3

85 7 42

11 67

10

2 9 16 94

9 71

6

53 4 37

8 61

4

(37)

Write each mixed number as an improper fraction, and each improper fraction as a mixed number.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15. 82

3 2212

25 103

8

103 10 56

11 37

9

57 7 43

9 29

6

112 3 83

4 27

12

23 5 13

2 41

4

Mixed Numbers and Improper Fractions

(38)

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

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15. 25

39 ⫺ 22 39 ⫽ 23 36 ⫺ 5 36 ⫽ 33 50 ⫹ 17 50 ⫽ 13 25 ⫹ 7 25 ⫽ 7 20 ⫺ 3 20 ⫽ 11 16 ⫹ 1 16 ⫽ 7 8 ⫺ 5 8 ⫽ 9 11 ⫺ 4 11 ⫽ 5 16 ⫹ 3 16 ⫽ 4 15 ⫺ 1 15 ⫽ 11 12 ⫺ 7 12 ⫽ 7 9 ⫺ 4 9 ⫽ 7 20 ⫹ 9 20 ⫽ 1 10 ⫹ 7 10 ⫽ 2 9 ⫹ 5 9 ⫽

(39)

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

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15. 23

75 ⫹ 22 75 ⫽ 28 45 ⫺ 8 45 ⫽ 13 42 ⫹ 17 42 ⫽ 15 32 ⫺ 7 32 ⫽ 31 49 ⫹ 4 49 ⫽ 33 35 ⫺ 19 35 ⫽ 25 36 ⫹ 11 36 ⫽ 4 11 ⫹ 6 11 ⫽ 17 18 ⫺ 5 18 ⫽ 9 16 ⫺ 7 16 ⫽ 5 24 ⫹ 13 24 ⫽ 23 30 ⫺ 17 30 ⫽ 13 20 ⫹ 3 20 ⫽ 14 15 ⫺ 11 15 ⫽ 8 11 ⫺ 5 11 ⫽

Adding and Subtracting Fractions with Like

Denominators

(40)

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

1. 2. 3.

⫹ ⫺ ⫹

4. 5. 6.

⫺ ⫹ ⫹

7. 8. 9.

⫺ ⫺ ⫹

10. 11. 12.

⫹ ⫺ ⫺

13. 14. 15.

⫺₁₂7 ⫺15₆₈ ⫹₁₀₀27

12 25 8 17 14 15 5 6 3 7 1 4 8 9 13 21 13 20 3 4 1 15 1 2 1 12 7 30 4 5 1 2 1 3 5 36 7 16 5 12 8 9 7 24 1 6 1 4 5 8 11 12 1 5

(41)

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

1. 2. 3.

⫹ ⫺ ⫹

4. 5. 6.

⫺ ⫹ ⫺

7. 8. 9.

⫹ ⫺ ⫺

10. 11. 12.

⫹ ⫺ ⫹

13. 14. 15.

⫺₁₂5 ⫺ 2₉ ⫹₅₅8

17 22 37 40 13 14 6 25 1 2 1 3 7 12 13 25 3 5 31 100 3 8 1 40 19 20 3 5 7 8 3 10 4 9 3 50 16 35 8 15 14 25 2 9 13 30 2 3 25 36 4 5 1 9

Skill 5

Adding and Subtracting Fractions with Unlike

Denominators

(42)

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

1. 2. 3.

⫺ ⫹ ⫺

4. 5. 6.

⫹ ⫹ ⫺

7. 8. 9.

⫹ ⫺ ⫹

10. 11. 12.

⫺ ⫹ ⫹

13. 14. 15.

⫺ 1₅ ⫹ 3₄ ⫺₁₀3

14 25 3 14 13 15 19 64 1 12 7 8 41 64 3 4 10 11 9 40 5 9 3 8 11 40 5 6 5 18 13 20 1 4 5 12 17 20 13 30 2 9 3 10 2 5 7 10 9 10 12 25 19 20

(43)

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15.

⫹ 3₈ ⫺ 3₅

⫺ ₁₀7

14 25 5 6 11 12

⫺ 1₄ ⫺ ₁₁6

⫹ ₁₀7

11 36 81 110 4 25

⫺ 17₆₀ ⫺ ₁₂7

⫹ ₂₄5

8 15 7 9 5 24

⫺ 3₈ ⫹ 2₅

⫹ 2₇

19 40 6 35 2 3

⫹ ₁₀₀27 ⫺ ₁₄5

⫺ ₁₈5

12 25 13 14 7 12

Adding and Subtracting Fractions

(44)

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

1. 6 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15.

⫺1717₂₀ ⫹824₅

⫺1829₃₀

51 7 20 1224 25 279 10

⫺1911₁₂ ⫹84₇

⫺10 3₅

42 5₈ 923

84 13 4

15

⫹29 3₈ ⫺911₁₄

⫹145₆

53 7 10 16 2 7 2213 30

⫺32 1₂ ⫺6

⫹92₅

41 7 18 11 7 24 151 2

⫺123₄ ⫹51₄

⫺31₆

183 8 45

6

(45)

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15.

⫹51215₁₆ ⫺2913₁₅

⫹2 2₅

2245 12 37 2 3 4 7 20

⫺21₁₂5 ⫹72₂₄5

⫺62₁₁4

30 5 32 10815 16 771 2

⫹235₆ ⫺2517₂₀

⫹345₆

191 9 42 37 50 5619 20

⫺253₁₀9 ⫹103₇

⫺425₂₈

60911 15 288 9 66 7

⫹12₁₀7 ⫺54₅

⫹21₃

1431 50 61 8 55 6

Adding and Subtracting Mixed Numbers

(46)

Multiply. Write each product in simplest form.

1. 2.

3. 4.

5. 6.

7. 8.

9. 10. 43

8 ⫻4 4 7 ⫽ 66 7 ⫻ 21 64 ⫽ 2 7 10 ⫻2

1 12 ⫽ 71

2 ⫻3 3 5 ⫽

24 25 ⫻3

1 8 ⫽ 9

11 ⫻3 1 18 ⫽

61 4 ⫻3

1 5 ⫽ 7 18 ⫻ 27 49 ⫽ 53

7 ⫻14⫽ 4

5 ⫻ 15 16 ⫽

(47)

Multiply. Write each product in simplest form.

1. 2.

3. 4.

5. 6.

7. 8.

9. 10. 71

5 ⫻8 1 3 ⫽ 59

11 ⫻1 1 32 ⫽ 4 2 13 ⫻ 26 27 ⫽ 231 3 ⫻ 9 28 ⫽ 18 25 ⫻ 100 117⫽ 85 8 ⫻ 40 63 ⫽ 41 3 ⫻ 9 52 ⫽ 121 2 ⫻ 5 16 ⫽ 45 64 ⫻5

1 3 ⫽ 21

40 ⫻1 19 21 ⫽

Multiplying Fractions and Mixed Numbers

(48)

Divide. Write each quotient in simplest form.

1. 2.

3. 4.

5. 6.

7. 8.

9. 10. 311

23 ⫼1 31 69 ⫽ 99

11 ⫼1 8 55 ⫽ 16 65 ⫼ 2 13 ⫽ 9 ⫼3₈ ⫽

105 7 ⫼1

1 14 ⫽ 5 18 ⫼ 25 36 ⫽ 24 5 ⫼ 7 15 ⫽ 8

9 ⫼4⫽

82 5 ⫼3

1 2 ⫽ 14 5 ⫼ 3 5 ⫽

(49)

Divide. Write each quotient in simplest form.

1. 2.

3. 4.

5. 6.

7. 8.

9. 10. 142

9 ⫼10 2 3 ⫽ 44 15 ⫼ 16 75 ⫽ 45 7 ⫼1

25 63 ⫽ 23 24 ⫼ 3 8 ⫽ 93 4 ⫼6

1 2 ⫽ 64

7 ⫼1 9 14 ⫽

61

4 ⫼5⫽ 22

3 ⫼2 2 15 ⫽ 71 5 ⫼ 9 10 ⫽ 8 35 ⫼ 16 49 ⫽

Dividing Fractions and Mixed Numbers

(50)

Operations with Fractions and Mixed Numbers

Add, subtract, multiply, or divide. Write each answer in simplest form.

1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15.

⫺ 3 13₂₀

11 93 100 25

72 ⫻10 1 5 ⫽ 564

9 ⫺45 1 12 ⫽

27 32 ⫻2

2 7 ⫽ 179

16 ⫹12 3 4 ⫽ 182

7 ⫼1 19 45 ⫽

⫺28₁₀9

322 3 142 5 ⫼ 4 15 ⫽ 25

81 ⫻7 1 5 ⫽

⫹10 1₃

1413 25 136 7 ⫺ 3 4 ⫽ 71 2 ⫼ 6 25 ⫽ 4 5 18 ⫺3

1 3 ⫽ 63

(51)

Add, subtract, multiply, or divide. Write each answer in simplest form.

1. 2. 3. 16

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15.

⫺16 ₁₀₀7

169 10 ⫻6

2 13 ⫽ 41 8 ⫼ 11 24 ⫽ 45 11 20

⫹ 6 1₈

71 4 ⫻ 12 17 ⫽ 129 56 621

2 ⫼1 23 32 ⫽

⫺33₅ ⫹57₁₀9

93 5 ⫻1

1 9 ⫽ 52 9 62 4 25 142 5 ⫼ 7 15 ⫽ 34

15 ⫻10 5 7 ⫽ 371

8 ⫹22 2 7 ⫽

⫺ 4₅

81 10 ⫼ 9 25 ⫽ 17 18

Operations with Fractions and Mixed Numbers

Skill 22

(52)

Add.

1. ⫺8⫹(⫺9) 2. 6⫹7 3. ⫺15 ⫹20

4. ⫺12 ⫹4 5. 26 ⫹(⫺3) 6. ⫺17 ⫹(⫺3)

7. 25 ⫹43 8. ⫺25 ⫹43 9. 25 ⫹(⫺43)

10. ⫺25 ⫹(⫺43) 11. 30⫹(⫺30) 12. ⫺55 ⫹22

13. ⫺25 ⫹8 14. ⫺2⫹15 15. ⫺1⫹(⫺19)

16. 46⫹(⫺57) 17. ⫺50 ⫹50 18. ⫺99 ⫹1

(53)

Add.

1. 25_⫹(_⫺12)_⫹12 2. 10_⫹(_⫺7)_⫹1 3. 17_⫹(_⫺2)_⫹7

4. _⫺9_⫹4_⫹(_⫺11) 5. _⫺16_⫹52_⫹16 6. 12_⫹(_⫺20)_⫹5

7. _⫺22_⫹(_⫺8)_⫹6 8. _⫺7_⫹(_⫺3)_⫹(_⫺15) 9. 27_⫹(_⫺13)_⫹(_⫺27)

10. _⫺24_⫹(_⫺6)_⫹(_⫺31) 11. 5_⫹ (_⫺1)_⫹(_⫺12)_⫹8 12. _⫺20_⫹5_⫹(_⫺7)_⫹9

13. _⫺18_⫹4_⫹(_⫺2)_⫹12 14. 13_⫹(_⫺6)_⫹(_⫺10)_⫹(_⫺8) 15. _⫺1_⫹(_⫺2)_⫹(_⫺8)_⫹(_⫺6)

16. _⫺10_⫹(_⫺13)_⫹6_⫹7 17. _⫺44_⫹33_⫹11_⫹5 18. 75_⫹(_⫺25)_⫹1_⫹(_⫺50)

19. 15_⫹23_⫹25_⫹ 17 20. _⫺25_⫹(_⫺4)_⫹(_⫺6)_⫹(_⫺25) 21. _⫺7_⫹(_⫺34)_⫹(_⫺13)_⫹(_⫺16)

Adding Integers

(54)

Subtract.

1. 15⫺11 2. 7⫺13 3. ⫺8⫺5

4. 20 ⫺(⫺25) 5. 45 ⫺(⫺32) 6. ⫺18 ⫺(⫺27)

7. ⫺31 ⫺(⫺19) 8. 29⫺10 9. ⫺6⫺1

10. 16⫺20 11. ⫺23 ⫺(⫺15) 12. 12⫺(⫺17)

13. ⫺18 ⫺2 14. ⫺3⫺10 15. ⫺22 ⫺(⫺11)

16. 9⫺1 17. 1 ⫺9 18. 25 ⫺(⫺30)

(55)

Subtract.

1. 9⫺19 2. 20⫺3 3. ⫺13 ⫺11

4. ⫺22 ⫺35 5. 16 ⫺(⫺8) 6. ⫺16 ⫺(⫺8)

7. ⫺6⫺(⫺2) 8. 23⫺11 9. ⫺15 ⫺15

10. 8⫺12 11. ⫺31 ⫺(⫺21) 12. 9⫺(⫺2)

13. ⫺27 ⫺14 14. ⫺8⫺18 15. ⫺34 ⫺(⫺13)

16. 15⫺5 17. 5⫺15 18. 17⫺(⫺20)

19. ⫺29 ⫺(⫺22) 20. ⫺1⫺1 21. ⫺1⫺(⫺1)

Subtracting Integers

(56)

Add or subtract.

1. 12⫹20 2. 17⫺11 3. ⫺33 ⫹22

4. 18 ⫺23 5. ⫺10 ⫹(⫺8) 6. 14⫹(⫺5)

7. 16 ⫺17 8. 3 ⫺(⫺5) 9. 24 ⫺(⫺7)

10. ⫺3⫹(⫺3) 11. ⫺3⫺(⫺3) 12. 3⫺(⫺3)

13. 15⫹(⫺20) 14. ⫺20 ⫹15 15. 14⫺5

16. 7⫺13 17. ⫺29 ⫹(⫺1) 18. ⫺29 ⫺1

(57)

Add or subtract.

1. 6⫹9 2. 24⫺16 3. ⫺21 ⫹14

4. 9 ⫺18 5. ⫺25 ⫹(⫺15) 6. 17⫹(⫺4)

7. 3 ⫺4 8. 1 ⫺(⫺9) 9. 19 ⫺(⫺3)

10. ⫺10 ⫹(⫺10) 11. ⫺10 ⫺10 12. 42⫺(⫺22)

13. 4⫹(⫺14) 14. ⫺14 ⫹4 15. 21⫺10

16. 8⫺9 17. ⫺35 ⫹(⫺2) 18. ⫺14 ⫺3

19. 17⫺19 20. ⫺28 ⫺(⫺40) 21. 18⫺21

Adding and Subtracting Integers

(58)

Multiply.

1. 3(⫺7) 2. ⫺8(7) 3. 5(6)

4. ⫺2(⫺2) 5. (⫺3)2 6. ⫺5(⫺8)

7. 12(⫺6) 8. ⫺7(11) 9. ⫺1(13)

10. ⫺1(⫺15) 11. (⫺7)2 12. 2(⫺3)(4)

13. 5(⫺2)(⫺4) 14. ⫺3(⫺5)(⫺4) 15. ⫺2(22)

16. ⫺1(⫺7)(⫺9) 17. ⫺1(⫺4)2 18. 3(2)2

(59)

Multiply.

1. 5(⫺2) 2. ⫺9(8) 3. 12(11)

4. ⫺6(⫺6) 5. (⫺6)2 6. ⫺10(⫺3)

7. 8(⫺2) 8. ⫺9(10) 9. ⫺1(23)

10. ⫺1(⫺30) 11. (⫺9)2 12. 3(⫺6)(5)

13. 6(⫺2)(⫺5) 14. ⫺2(⫺8)(⫺3) 15. ⫺3(13)

16. ⫺1(⫺6)(⫺7) 17. ⫺1(⫺2)2 18. 4(3)2

19. (⫺5)3 20. ⫺1(5)3 21. ⫺1(⫺6)3

Multiplying Integers

(60)

Divide.

1. ⫺25 ⫼5 2. ⫺32 ⫼(⫺4) 3. 64⫼8

4. 5. 20⫼(⫺2) 6.

7. ⫺45 ⫼(⫺9) 8. 54⫼(⫺9) 9.

10. 144⫼12 11. ⫺95 ⫼5 12. 51 ⫼(⫺3)

13. 14. 100⫼(⫺25) 15. ⫺18 ⫼(⫺1)

16. ⫺87 ⫼29 17. 18.

19. 92⫼(⫺23) 20. ⫺1⫼(⫺1) 21. ⫺250⫼(⫺125) ⫺99

⫺9

135 45

⫺52

2

⫺42 ⫺2 ⫺48

6 12

⫺3

(61)

Divide.

1. 14⫼7 2. ⫺35 ⫼(⫺7) 3. ⫺81 ⫼9

4. 5. 98⫼(⫺49) 6.

7. ⫺75 ⫼(⫺3) 8. 25⫼(⫺5) 9.

10. 169⫼13 11. ⫺27 ⫼9 12. 49 ⫼(⫺7)

13. 14. 63 ⫼(⫺7) 15. ⫺5⫼(⫺1)

16. ⫺112⫼4 17. 18. ⫺8⫼(⫺8)

19. 156⫼(⫺3) 20. ⫺34 21. ⫺136⫼(⫺4) ⫺17

250

⫺50 ⫺3

3

⫺45 ⫺15 ⫺90 ⫺5 ⫺64

32

Dividing Integers

(62)

Multiply or divide.

1. ⫺25(4) 2. ⫺120⫼(⫺60) 3. 18⫼3

4. ⫺6(⫺16) 5. 14(5) 6.

7. ⫺38 ⫼(⫺19) 8. ⫺15(⫺2) 9.

10. 225⫼15 11. ⫺7(⫺11) 12. ⫺13(5)

13. 14. 120⫼(⫺8) 15. ⫺4(⫺6)(2)

16. ⫺111⫼3 17. 18. ⫺3(⫺2)2

19. 117⫼(⫺13) 20. ⫺3(⫺5)(⫺7) 21. ⫺(6)2⫼(⫺3)

144 3 89

⫺1

⫺42 ⫺3 ⫺28

2

(63)

Multiply or divide.

1. ⫺135⫼(⫺9) 2. ⫺8(⫺4) 3. 9(⫺9)

4. 5. 16(6) 6. ⫺72 ⫼(⫺6)

7. ⫺1(91) 8. 145⫼(⫺5) 9.

10. 4(⫺13) 11. ⫺12(⫺3) 12. ⫺11 ⫼(⫺11)

13. 5(⫺4)(7) 14. 55⫼(⫺5) 15. ⫺11(⫺2)(⫺3)

16. ⫺110⫼5 17. 18. 5(⫺3)2

19. 143⫼(⫺11) 20. 2(⫺5)(10) 21. ⫺(8)2⫼2

⫺96 ⫺8

⫺7

7 124

⫺4

Multiplying and Dividing Integers

(64)

Identify the property shown by each equation.

1. 5ⴢ18 ⫽18 ⴢ5 2. (9⫹5)3⫽9(3)⫹5(3)

3. 10 ⫹(⫺10)⫽0 4. 17 ⫹(3⫹29)⫽(17⫹3)⫹29

5. 0 ⫹18 ⫽18 6. ⫺5ⴢ 1⫽1ⴢ (⫺5)

7. ⫺20 ⴢ1⫽ ⫺20 8. 19(16)⫹19(4)⫽19(16 ⫹4)

9. 10. 0 ⫹75 ⫽75⫹0

11. ⫺50 ⫹50 ⫽0 12.

13. 25ⴢ(4ⴢ 35)⫽(25ⴢ 4)ⴢ 35 14. 0⫹21 ⫽21

9 4

#

4 9 ⫽1 2

3

#

3 2 ⫽1

(65)

Identify the property shown by each equation.

1. 12(32)⫹12(8)⫽12(32 ⫹8) 2. ⫺19 ⫹19 ⫽0

3. 1 ⴢ(4⫹6)⫽(4⫹6)ⴢ 1 4. 97⫹(3⫹35)⫽(97⫹3)⫹35

5. 0 ⫹(7ⴢ 3)⫽(7ⴢ3) 6.

7. ⫺8ⴢ 1⫽1ⴢ (⫺8) 8. 0 ⫹(10ⴢ 3)⫽(10ⴢ 3)⫹0

9. 20 ⴢ(5ⴢ 87)⫽(20ⴢ 5)ⴢ 87 10. (7ⴢ 4)⫹6⫽6⫹(7ⴢ4)

11. (13⫹9)⫹0⫽(13⫹9) 12. 48(5)⫹48(15)⫽48(5⫹15)

13. ⫺₇2

#

a⫺ 14. (4⫹14)ⴢ1 ⫽(4⫹14)

7 2b ⫽1

5 4

#

4 5 ⫽1

Identifying Properties

(66)

Simplify each expression. Tell which property you used.

1. 8ⴢ38 2. 54 ⫹(6⫹49)

3. 22(13) 4. 1 ⴢ(6ⴢ9)

5. 6. 15(18)⫹15(2)

7. (29⫹75)⫹25 8. 10 ⫹63⫹90

9. 0 ⫹(33⫹9) 10. 12⫻105

11. (87⫻5)⫻20 12. ⫺21 ⫹77 ⫹21

13. 4⫻32 ⫻50 14. 8 ⫹ a3₇b a7₃b ⫹1⫺82

2

3

#

17

#

3 2

(67)

Simplify each expression. Tell which property you used.

1. 43⫹(7⫹39) 2. 7(92)

3. (17⫹18)ⴢ 1 4.

5. 24(16)⫹24(4) 6. 27 ⫹82⫹(⫺27)

7. (57⫹85)⫹15 8. 20 ⫹49⫹80

9. 12(103) 10. 0 ⫹(15⫹6)

11. (98⫻4)⫻25 12. ⫺36 ⫹125⫹36

13. a5₇

#

29b

#

14. 5 ⫻16 ⫻40

7 5

9

10

#

18

#

10 9

Using Properties

(68)

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

Measurement: The Customary System

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 ________________.

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 12. For her large party, Mrs. Glover should

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

? ?

?

(69)

Complete.

1. 72 inches ⫽______________ feet 2. 4 gallons ⫽______________ pints

3. 48 ounces ⫽______________ pounds 4. 6 yards ⫽______________ inches

5. 88 fluid ounces ⫽______________ cups 6. 18 feet ⫽______________ yards

7. 7 tons ⫽______________ pounds 8. 40 pints ⫽______________ quarts

9. 21,120 feet ⫽______________ miles 10. 2 gallons ⫽______________ fluid ounces

11. 78 inches ⫽______________ feet 12. 12 cups ⫽______________ gallons

Measurement: The Customary System

Skill 1Skill 31

? ?

(70)

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

Measurement: The Customary System

7. 20 quarts ⫽______________ gallons 8. 8 miles ⫽______________ feet

9. 2 tons ⫽______________ ounces 10. 256 fluid ounces ⫽______________

gallons

11. 1 mile ⫽______________ inches 12. 48,000 ounces ⫽______________ tons 1. The length between the bases of a

baseball diamond is 90 (feet, inches, yards).

2. Ashley needs 2 (fluid ounces, pints, gallons) of paint to paint her bedroom.

3. One serving of french fries would be about 4 (pounds, ounces, quarts).

4. For track practice, Luis had to run 5 (miles, feet, inches).

5. Trent’s golden retriever weighs about 85 (ounces, tons, pounds).

6. Miko is about 67 (yards, inches, feet) tall.

Complete.

? ?

(71)

Skill 32

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

Measurement: The Metric System

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 weigh 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.

(72)

Complete.

1. 5 m ⫽______________ cm 2. 1,200 g ⫽______________ kg

3. 750 mL ⫽______________ L 4. 300 mm ⫽______________ cm

5. 23 kL ⫽______________ L 6. 62,500 mg ⫽______________ g

7. 450 cm ⫽______________ m 8. 1,100 L ⫽______________ kL

9. 15 kg ⫽______________ mg 10. 10,000 mL ⫽______________ kL

11. 8,235 cm ⫽______________ km 12. 320,000 mm ⫽______________ km

Measurement: The Metric System

? ?

(73)

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

Measurement: The Metric System

Skill 32

Complete.

1. One of the basketball players is about 2 (mm, cm, m) tall.

2. When the weather is especially hot, it is a good idea to drink several (mL, L, kL) of water per day.

3. In chemistry class, Kendrick added 4 (g, kg, m) of that substance to his chemical solution.

4. Melinda added several (mL, L, kL) of lemon juice to the pitcher of iced tea.

5. When it is full of books, Casey’s backpack weighs over 15 (mg, g, kg).

6. Marta’s house is 15 (cm, m, km) wide.

7. 940 mg ⫽______________ g 8. 85 L ⫽______________ kL

9. 1.5 km ⫽______________ m 10. 850 g ⫽______________ kg

11. 21.2 kL _⫽______________ mL 12. 1,400 mm _⫽______________ cm

? ?

(74)

Find the perimeter of each rectangle.

Perimeter and Area of Rectangles

Solve.

1. 2.

3. 4.

5. Find the perimeter of a rectangle that has a width of 48 kilometers and a length of 31 kilometers.

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

7. A rectangle has a length of 70 inches and a width of 103 inches. Find the perimeter of the rectangle.

8. Find the perimeter of a rectangle that has a width of 33 feet and a length of 18 feet.

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

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

21 cm

6 cm

40 in.

14 yd

7 yd

28 cm

(75)

Find the area of each rectangle.

Perimeter and Area of Rectangles

Skill 34

1. 2.

3. 4.

5. Find the area of a rectangle that has a length of 13 feet and a width of 9 feet.

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

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

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

9. Draw and label a rectangle that has a width 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.

25 in.

16 in.

15 mm

12

4 yd

yd

1 2

144 in.

60 in.

5 m

(76)

Find the perimeter and area of each rectangle.

Perimeter and Area of Rectangles

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.

3. Find the perimeter and area of a rectangle that has a width of 7 meters and a length of 20 meters.

4. What is the perimeter and area of a rectangle that has a length of 12 inches and a width of 101 inches?

2

7. Draw and label a rectangle that has a perimeter of 60 centimeters and an area of 200 square centimeters.

8. Draw and label 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

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

1. P⫽___________ A ⫽___________ 2. P⫽___________

A⫽___________

Solve.

27 mm

18 mm

2 ft

35 m

x m

12.5 m

(77)

Name the ordered pair for each point graphed.

Graphing Points on a Coordinate Plane

(78)

Graph each ordered pair.

Graphing Points on a Coordinate Plane

1. A(4, 3),

B(⫺2, 0)

2. C(3,_⫺1),

D(_⫺4, 1)

3. E(0,⫺4),

F(3, 2)

4. G(⫺2,⫺3),

H(2, 1)

5. I(0, 0),

J(⫺3,⫺3)

6. K(1, 4),

L(⫺2,⫺4)

7. M(0,⫺2),

N(4, 4)

8. P(3, 0),

Q(1,_⫺1)

9. S(2, 2),

T(3,⫺4)

10. U(0, 1), W(1, 0)

(79)

Name the ordered pair for each point graphed.

Graphing Points on a Coordinate Plane

Skill 34

1. 2.

3. 4.

5. I(0,⫺3),

J(⫺2, 0)

6. K(⫺1,⫺1),

L(4, 0)

7. M(2,⫺3),

N(0, 0)

8. P(⫺2, 1),

Q(0, 3)

9. S(1, 4),

T(⫺4,⫺1)

10. U(_⫺2, 4),

W(2,_⫺4)

(80)

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

Students 27 23 29

Ames 19

Toshio 25

Teacher Wilson Sanchez Brooks

Boys 11 14 13

Ames 12

Toshio 12

Girls 16 9 16 7 13

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. What percent of the homerooms have 25 or more students?

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

[image:80.612.47.522.132.429.2]

(81)

Displaying Data on Graphs

Skill 35

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

Year 1998 6 1999 11 2000 8 Victories 2001 10 Year 1998 7 6 1999 9 11 2000 10 8 Darnell’s Victories 2001 9 10 Jeremy’s Victories 1. Describe the data presented in the

table.

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 2002. Explain.

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. What percent of Darnell’s seasons had 9 or more victories?

[image:81.612.92.559.101.415.2] [image:81.612.90.565.455.721.2]

(82)

For Exercises 1-6, use the data below.

{14, 11, 19, 6, 21, 8, 12, 17, 7, 18, 9, 11, 8, 7}

Displaying Data on Graphs

1. Write the stems that would be used for the stem-and-leaf plot of this data.

2. Make a stem-and-leaf plot using the data.

3. What is the range of the data? 4. What is the average (mean) of the data?

5. Which interval has the most data points?

6. Which interval has the fewest data points?

7. Write the stems that would be used for the stem-and-leaf plot of this data.

8. Make a stem-and-leaf plot using the data.

9. Which interval has the most data 10. Which interval has the fewest data

For Exercises 7-10, use the data below.

(83)

Determine which type of graph is most appropriate for each set of data. Explain your choice.

For Exercises 3-6, use the data below.

$1.40, $1.29, $1.32, $1.08, $1.44, $1.25, $1.15, $1.37, $1.33, $1.22

For Exercises 7-8, use the data below.

Displaying Data on Graphs

Skill 35

1. average new car prices over a ten-year period

2. car prices for each of the top ten models for a given year

7. Describe a situation that this data could represent.

8. Display this data with a graph.

4. Display this data in a stem-and-leaf plot.

5. What is the range of the data? 6. Which interval has the most data points?

Candidate Rosa 103

Alvin 79

Angela 95

Votes Won

Dylan 100

(84)

Displaying Data on Graphs

Determine which type of graph is most appropriate for each set of data. Explain your choice.

For Exercises 3-6, use the table that shows the home runs hit by several players in the 2000 Major League Baseball season.

For Exercises 7-8, use the table below. 1. the prices of several types of athletic

shoes

2. the values of two stocks compared over the period of several weeks

3. Which data display would be most appropriate for the data in the table?

5. What is the range of the data? 6. What is the average number of home runs for these six players? Round to the nearest tenth.

Day Monday Tuesday Wednesday

Price $1.27 $1.23 $1.24

Thursday Friday

$1.31 $1.34

Saturday

$1.32

Sunday

$1.30

Player Sosa Bonds Bagwell

Home Runs 50 49 47

Glaus V. Guerrero

47 44

Hildago