additional exercises 1 - james dressler · copyright © 2011 pearson education, inc. publishing as...

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. E-1

Additional Exercises 1.2 Name: Date: Determine the place value of the digit 8 in each whole number. 1. 12,875 1. _____________ 2. 36,185,200 2. _____________ 3. 7,568,229 3. _____________ 4. 983,209,571 4. _____________ Write each whole number in words. 5. 4618 5. _____________ 6. 50,109 6. _____________ 7. 190,025 7. _____________ 8. 72,300 8. _____________ 9. 2,840,007 9. _____________ 10. 36,590,012 10. _____________ Write each number in the sentence in words. 11. Arkansas has 17,864,000 acres of forested land. 11. _____________ 12. The population of Wisconsin in 1996 was 5,159,792 people. 12. _____________ Write each whole number in standard form. 13. Nine thousand, four hundred twenty 13. _____________ 14. Seventy-nine thousand, seven 14. _____________ 15. Eighty thousand, three hundred eleven 15. _____________ 16. Two hundred four thousand, five hundred thirty-six 16. _____________ 17. Four million, fifty-six 17. _____________ 18. Fifteen million, three hundred twenty-four thousand, nine 18. _____________

E-2 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.

Additional Exercises 1.2 (Cont.) Write the whole number in each sentence in standard form. 19. The business port in the U.S., South Louisiana, handled two hundred four million, four hundred eighty-two thousand, five hundred ninety-one tons of cargo in 1995. 19. __________ 20. Chicago’s O’Hare Airport handled sixty-nine million, one hundred thirty-three thousand, one hundred eighty-nine passenger arrivals and departures in 1996. 20. _________


Additional Exercises 1.3 Name: Date: Add 1. 34 + 23 + 16 1. _____________ 2. 14 + 41 + 42 2. _____________ 3. 73450 + 3278 3. _____________ 4. 32 + (32 + 12) + 12 4. _____________ 5. 66 + 77 + 11 5. _____________ 6. 91 + 19 6. _____________ 7. 3 + 4 + 13 + 14 + 5 + 15 7. _____________ 8. 55 + 66 + 34 + 43 8. _____________ 9. 62 + 34 + 90 9. _____________ 10. 1942 + 19 + 43 10. _____________ 11. 1298 + 129 + 8 11. _____________ 12. 5400 + 340 + 5434 12. _____________ 13. 127,209 + 46, 830 + 51,0762 + 356,348 13. _____________ 14. – 17. Find the perimeter of the figure. 14. 14. _____________

14 ft

10 ft7 ft


Additional Exercises 1.3 (Cont.) 15. 15. _____________

28 in.

8 in.

16. 16. _____________

11 yd 11 yd

17 yd 17 yd

17. 17. _____________

30 ft

28 ft

35 ft

46 ft

65 ft

62 ft

18. What is 634 increased by 29? 18. __________ 19. Thomas Jefferson was born in 1743 and became President of the U.S. 58 years later. What year did he become president? 19. __________ 20. According to the official census. Connecticut had a population of 275,248 in 1820. By 1830, the state had 22,427 more people. How many people lived in Connecticut in 1830? 20. __________


Additional Exercises 1.4 Name: Date: Subtract. Check by adding. 1. 96 – 69 1. ____________ 2. 121 – 32 2. ____________ 3. 409 – 390 3. ____________ 4. 321 – 234 4. ____________ 5. 912 – 219 5. ____________ 6. 3287 – 1238 6. ____________ 7. 239 – 239 7. ____________ 8. 253 – 178 8. ____________ 9. 50,000 – 32,500 9. ____________ 10. 34,034 – 3,404 10. ____________ The graph shows the results of a telephone survey on dream vacations.

11. Which dream vacation was preferred by most people? 11. ____________ 12. How many more people preferred a Caribbean Cruise than preferred a trip to Japan? 12. ____________ 13. How many more people preferred a trip to a Hawaii than preferred a trip to Alaska? 13. ____________ 14. How many people responded to the survey? 14. ____________


Additional Exercises 1.4 (Cont.) 15. Subtract 1,200 from 12,000. 15. ____________ 16. Subtract 98 from 198. 16. ____________ 17. Subtract 43 from 340. 17. ____________ 18. Find the difference if the minuend is 621 and the subtrahend is 237. 18. ____________ 19. Caroline has $743 in her checking account. She writes a check for $109. How much money is left in her account? 19. ____________ 20. The Nile River is 4160 miles long. The Mississippi River is 2340 miles long. How much longer is the Nile than the Mississippi? 20. ____________


Additional Exercises 1.5 Name: Date: Round each whole number to the given place. 1. 481 to the nearest ten 1. ___________ 2. 3195 to the nearest ten 2. ___________ 3. 67,610 to the nearest thousand 3. ___________ 4. 148,524 to the nearest thousand 4. ___________ 5. 54,253 to the nearest hundred 5. ___________ 6. 264, 712 to the nearest thousand 6. ___________ 7. 78,563,209 to the nearest million 7. ___________ Complete the table by rounding the given number to each given place value.

8. 8. ___________

9. 9. ___________

10. 9. 10. ___________ 11. Cinery Field, home of the Cincinnati Reds baseball team, has a seating capacity of 52,952 people. Round this number 11. ___________ to the nearest thousand. 12. According to the 1990 census, the U.S. population was 12. ___________ 248,718,301. Round this number to the nearest million. Estimate each sum or difference by rounding each number to the nearest hundred. 13. 723 13. ___________ 465 + 291


Additional Exercises 1.5 (Cont.) 14. 927 - 365 14. ___________ 15. 2843 15. ___________ 1742 + 1695 16. 1998 16. ___________ - 1776 Estimate each sum to determine whether the given calculator answer could be correct. 17. 6823 + 1742 + 8265 Cal Ans: 11,830 17. ___________ 18. 51,842 + 37,461 + 89,403 Cal Ans:178,706 18. ___________ Solve each problem by estimating. 19. The Katz family needs a new washer and dryer. The washer they like costs $379 and the dryer costs $312. Round each cost to the nearest hundred to estimate the total cost. 19. ___________ 20. Hank Aaron batted in 2,297 runs during his major league baseball career and Babe Ruth batted in 2,213 runs. Round each number to the nearest hundred to estimate how many more runs Hank Aaron batted in than Babe Ruth. 20. ___________


Additional Exercises 1.6 Name: Date: Use the Distributive Property to rewrite each expression. 1. 6(7 + 5) 1. ____________ 2. 11(15 + 4) 2. ____________ Multiply. 3. 54 × 7 3. ____________ 4. 293 × 5 4. ____________ 5. 678 × 8 5. ____________ 6. 1056 × 8 6. ____________ 7. 314 × 100 7. ____________ 8. 902 × 21 8. ____________ 9. 415 × 32 9. ____________ 10. (710)(30) 10. ____________ 11. (879)(16)(0) 11. ____________ 12. (430)(20)(1) 12. ____________ 13. (390)(10)(1) 13. ____________ 14. 784 ×110 14. ____________ 15. 2819 × 361 15. ____________ 16. Find the area of the rectangle. 16. ____________

19 ft

11 ft


Additional Exercises 1.6 (Cont.) 17. One bagel has 230 calories. How many calories are in an entire package of 6 bagels? 17. ____________ 18. A marching band had 18 rows with 6 people in each row. How many people are in the band? 18. ____________ Estimate the product by rounding each factor to the nearest hundred. 19. 692 × 419 19. ____________ 20. 212 × 898 20. ____________


Additional Exercises 1.7 Name: Date: Divide and then check by multiplying.

1. 3157 1. ___________

2. 3655 2. ___________

3. 7284 3. ___________

4. 27768 4. ___________

5. 78 ÷ 1 5. ___________ 6. 617 ÷ 9 6. ___________ 7. 1059 ÷ 8 7. ___________ 8. 376 ÷ 0 8. ___________

9. 311117 9. ___________

10. 7995 ÷ 40 10. ___________ 11. 9856 ÷ 56 11. ___________ 12. 840 ÷ 24 12. ___________

13. 21,840

265 13. ___________

14. A truck has 5625 pounds of apples to deliver a distribution center. The truck can haul 375 pounds each trip. How many trips does it take? 14. ___________ 15. A movie theater collected $784 on one showing of a movie. If tickets cost $7 per person, how many people attended the showing? 15. ___________ 16. Find how many furlongs are in a mile. (A mile is 5280 feet; a furlong is 660 feet.) 16. ___________ Find the average of each list of numbers. 17. 19, 23, 29, 16, 33, 30 17. ___________


Additional Exercises 1.7 (Cont.) 18. 163, 148, 192, 119, 153 18. ___________ The numbers of airports in selected countries are given in the table. Use this table to answer questions 19 and 20.

Airports African Country Number of Airports Asian Country Number of Airports

Egypt 14 China 113 Morocco 11 India 66 Nigeria 12 Russia 75

South Africa 27 Turkey 26 Source: World Almanac 1998 19. Find the average of number of airport for the African countries in the table. 19. ___________ 20. Find the average number of airports for all 8 countries in the table. 20. ___________


Additional Exercises 1.8 Name: Date: 1. 37 increased by 8 is what number? 1. ____________ 2. 52 decreased by 17 is what number? 2. ____________ 3. What is the product of 23 and 6? 3. ____________ 4. What is the total of 49 and 14? 4. ____________ 5. What is the quotient of 2178 and 3? 5. ____________ 6. What is the difference between 65 and 9? 6. ____________ 7. 50 times 11 is what number? 7. ____________ 8. 88 divide by 11 is what number? 8. ____________ 9. A vacant lot is in the shape of a rectangle. It measures 140 feet by 90 feet. What is the area of the lot? 9. ____________ 10. Tony and Linda owe $10,467 on Linda’s car and $3,820 on Tony’s car. How much do they owe both cars? 10. ____________ 11. Sue Smith bought her house for $66,500. Later she sold it for $99,200. How much did the house increase in value while she owned it? 11. ____________ 12. There are 24 hours in a day. How many hours are in a 31-day month? 12. ____________ 13. In 1959-60, there were 43,881 school-age children in the U.S. In 1989-90, there were 44,947. How much did the school-age population increase in those days? 13. ____________ 14. A school has 27 teachers and 486 students. How many students are there for each teacher? 14. ____________ 15. A car loan with a total value of $6744 is to be paid off in 24 months. What should be the monthly payment? 15. ____________ 16. Four people each won $27 million on the lottery. What was the total purse of lottery? 16. ____________ 17. Find the total cost of 4 medium pizzas at $12 each and 3 large pizzas at $16 each. 17. ____________


Additional Exercises 1.8 (Cont.) 18. Marsha has $735 in her checking account. She writes checks for $139 and $274 and then deposits $185. What is the balance in the checking account now? 18. ____________ The following table shows prices of sports clothes at a specialty shop. 19. Tina buys a t-shirt, a pair of shorts, and 3 pair of socks. How much will her order cost before tax? 19. ____________ 20. Pierre is debating between buying sweat pants and a sweatshirt or a t-shirt and two pairs of shorts. Which order would be cheaper? By how much? 20. ____________

Item Price T-Shirt $12 Shorts $15 Sweat pants $18 Sweatshirt $21 Socks $2


Additional Exercises 1.9 Name: Date: Write each using exponential notation. 1. 5 · 5 · 5 ·5 · 5 · 5 · 5 1. ____________ 2. 14 · 14 · 14 · 14 2. ____________ 3. 2 · 7 · 7 · 3 · 3 · 3 · 3 3. ____________ Evaluate. 4. 7² 4. ____________ 5. 3² 5. ____________ 6. 18 6. ____________ 7. 53 7. ____________ 8. 106 8. ____________ 9. 80431 9. ____________

10. 400 10. ____________ 11. 196 11. ____________ Find the area of each square. 12. 12. ____________

18 cm


Additional Exercises 1.9 (Cont.) 13. 13. ____________

26 ft

Simplify 14. 18 – 5 · 2 14. ____________ 15. 3 · 7 + 4 · 6 15. ____________ 16. 43 ÷ (11 – 3) 16. ____________

17. 34

6)26(52 −

+− 17. ____________

18. ( )[ ]31003162 −−− 18. ____________ 19. 41 – [5 + (12 – 8) · 2] + 6 · 3 19. ____________ 20. A square lawn is 66 feet on each side. If 4 bags of fertilizer are available and each bag can cover 1200 square feet, is there enough fertilizer to cover the lawn? 20. ____________


Additional Exercises 2.1 Name: Date: Write a fraction to represent the shaded part of each figure. 1. 1. _______________

2. 2. _______________

3. 3. _______________

4. 4. _______________


Additional Exercises 2.1 (cont.) 5. 5. _______________

6. 6. _______________

7. Of the 525 people at a high school, 17 are teachers. What fraction of the people are teachers? 7. _______________ Write each mixed number as an improper fraction.

8. 548

8. _______________

9. 225

9. _______________

10. 384

10. _______________

11. 2315

11. _______________

12. 5196

12. _______________

13. 7412

13. _______________

Write each improper fraction as a mixed number or a whole number.

14. 538

14. _______________


Additional Exercises 2.1 (cont.) 15. 80

7 15. _______________

16. 18927

16. _______________

17. 3612

17. _______________

18. 9113

18. _______________

19. 8413

19. _______________

20. 743

20. _______________


Additional Exercises 2.2 Name: Date: List all the factors of each number. 1. 28 1. _______________ 2. 10 2. _______________ 3. 78 3. _______________ 4. 77 4. _______________ 5. 47 5. _______________ 6. 141 6. _______________ Identify each number as prime or composite. 7. 11 7. _______________ 8. 23 8. _______________ 9. 16 9. _______________ 10. 51 10. _______________ 11. 37 11. _______________ 12. 133 12. _______________ Find the prime factorization of each composite number. Write prime if the number is prime. 13. 70 13. _______________ 14. 130 14. _______________ 15. 55 15. _______________ 16. 196 16. _______________ 17. 107 17. _______________ 18. 256 18. _______________ 19. 882 19. _______________ 20. 1050 20. _______________


Additional Exercises 2.3 Name: Date: Write each fraction in simplest form.

1. 12

4 1. _______________

2. 54

24 2. _______________

3. 90

80 3. _______________

4. 119

17 4. _______________

5. 93

62 5. _______________

6. 300

125 6. _______________

7. 169

52 7. _______________

8. 160

64 8. _______________

9. 465

255 9. _______________

Determine whether each pair of fractions is equivalent.

10. 77

30

55

25and 10. _______________

11. 21

3

42

6and 11. _______________

12. 36

24

24

16and 12. _______________


Additional Exercises 2.3 (cont.)

13. 17

7

612

252and 13. _______________

14. 35

24

45

27and 14. _______________

15. 90

20

117

26and 15. _______________

16. 21

1

147

7and 16. _______________

17. 11

10

70

77and 17. _______________

18. The drive from Sam Shepard’s home to work takes 25 minutes. What fraction of the drive is represented by 10 minutes? 18. _______________ 19. There are 5280 feet in a mile. What fraction of a mile is represented by1320 feet? 19. _______________ 20. On a hot summer day, an ice cream stand sold 1700 ice cream cones. What fractional part of this total does 1275 ice cream cones represent? 20._______________


Additional Exercises 2.4 Name: Date: Multiply. Write each answer in simplest form.

1. 8

5

3

1 × 1. _______________

2. 3

4

8

7 × 2. _______________

3. 8

18

9

4 × 3. _______________

4. 17

5

7

3 × 4. _______________

5. 15

16

8

5 × 5. _______________

6. 5

2

4

7 × 6. _______________

7. 11

8

5

7

4

15 ×× 7. _______________

8. 7

3

30

15 × 8. _______________

9. 72

11 × 9. _______________

10. 9

413× 10. _______________

11. 3

21

2

17 × 11. _______________

12. 2

16

5

44 × 12. _______________

13. 65

45 × 13. _______________



14. 5

32

5

1 × 14. _______________

15. 13

4

2

13

7

37 ×× 15. _______________

16. 5

375× 16. _______________

17. A flight attendant can purchase a ticket for 35

of the regular

price. If the regular price of a particular trip is $625, what will the attendant pay? 17. _______________

18. A picture frame’s width is 23

of the frame’s length. What is

the width if the length is 18 12

inches? 18. _______________

Find the area of each rectangle. 19. 19. _______________

7 meter15

3 meter14

20. 20. _____________

35 inches4

2 inches


Additional Exercises 2.5 Name: Date: Find the reciprocal of each fraction.

1. 5

12 1. _______________

2. 19 2. _______________ Divide. Write each answer in simplest form.

3. 2

1

4

1 ÷ 3. _______________

4. 8

11÷ 4. _______________

5. 5

4

2

1 ÷ 5. _______________

6. 3

2

5

2 ÷ 6. _______________

7. 4

1

3

2 ÷ 7. _______________

8. 3

5

9

5 ÷ 8. _______________

9. 8

1

5

4 ÷ 9. _______________

10. 3

1

3

2 ÷ 10. _______________

11. 6

5

9

4 ÷ 11. _______________

12. 115

32 ÷ 12. _______________

13. 5

1

5

12 ÷ 13. _______________



14. 5

1

7

6 ÷ 14. _______________

15. 05

14 ÷ 15. _______________

16. 5

21

4

31 ÷ 16. _______________

17. 3

12

3

26 ÷ 17. _______________

18. 14

16 ÷ 18. _______________

19. Rita Koff must give her child 52

1 milliliters of a medicine per

day in 3 equally divided doses. How much medicine is given in each dose? 19. _______________ 20. Keneth Kelly has flown 345 hours this summer. If this makes up

9

5 of his yearly hours, how many hours has he flown this year? 20. _______________


Additional Exercises 3.1 Name: Date: Add or subtract and simplify your answer.

1. 8

4

8

1 + 1. _______________

2. 7

2

7

3 + 2. _______________

3. 9

5

9

4 + 3. _______________

4. 6 1

20 20+ 4. _______________

5. 10

3

10

1 + 5. _______________

6. 11

6

11

4 + 6. _______________

7. 26

7

26

5 + 7. _______________

8. 17

2

17

3

17

4 ++ 8. _______________

9. 19

3

19

4

19

7 ++ 9. _______________

10. 9 4

15 15− 10. _______________

11. 7

1

7

6 − 11. _______________

12. 4

1

4

21 − 12. _______________

13. 10

3

10

13 − 13. _______________



14. 40

15

40

30 − 14. _______________

15. 55

11

55

27 − 15. _______________

16. 5

16

5

17 − 16. _______________

17. A recipe for banana bread calls for 4

1cup milk and

4

3cup water. How much

liquid is needed for this recipe? 17. _______________ 18. Find the perimeter of the square. 18. _______________

5

32 ft

19. Ron Thomas, a computer programmer, must install 8

5of all the software

on his desk before a meeting. If he has already installed 8

3of the software,

how much remains to be installed before the meeting? 19. _______________ 20. Find the perimeter of the triangle. 20. _______________

5

29 feet

7 ft.

5

311 feet


Additional Exercises 3.2 Name: Date: Find the LCM of each list of numbers. 1. 18, 81 1. _______________ 2. 3, 7 2. _______________ 3. 9, 21 3. _______________ 4. 10, 22 4. _______________ 5. 35, 28 5. _______________ 6. 33, 121 6. _______________ 7. 5, 6, 12 7. _______________ 8. 12, 90, 245 8. _______________ 9. 15, 25, 63 9. _______________ 10. 6, 12, 30, 98 10. _______________ Find the missing number in each proportion.

11. 305

3 = 11. _______________

12. 8010

9 = 12. _______________

13. 427

1 = 13. _______________

14. 819

4 = 14. _______________

15. 3216

15 = 15. _______________

16. 213

7 = 16. _______________

17. 57 77= 17. _______________



18. 63

11 = 18. _______________

19. 328

3 = 19. _______________

20. 726

7 = 20. _______________


Additional Exercises 3.3 Name: Date: Add and simplify.

1. 10

3

5

2 + 1. _______________

2. 7

4

21

4 + 2. _______________

3. 7

2

9

1 + 3. _______________

4. 2

1

7

2

8

3 ++ 4. _______________

5. 25

6

5

1 + 5. _______________

6. 8

1

7

3 + 6. _______________

7. 18

7

12

11 + 7. _______________

8. 5

2

45

7

3

1 ++ 8. _______________

Subtract and simplify.

9. 2

1

12

11 − 9. _______________

10. 10

3

30

13 − 10. _______________

11. 6

1

18

5 − 11. _______________

12. 8

5

5

4 − 12. _______________



13. 9

1

7

4 − 13. _______________

14. 11 2

12 3− 14. _______________

15. 35

2

25

8 − 15. _______________

16. 28

4

21

10 − 16. _______________

17. Find the perimeter of the geometric figure. 17. _____________

7

812

ft. 5

66

ft.

3

84

ft.

18. Find the sum of 16

6,

10

5,

3

1and 18. _______________

19. Danika Lee, a chef, mixes 8

7liter chicken stock with

5

4 liter tomato

puree in a soup pot. How many liters of soup will there be? 19. _______________

20. Karen Samson has 12

5 feet of board. If she cuts off

3

1 foot of the

board, how much board (in feet) remains? 20. _______________


Additional Exercises 3.4 Name: Date: Add or subtract as indicated.

1. 3

11

3

21 + 1. _______________

2. 9

23

3

13 + 2. _______________

3. 7

49

6

53 + 3. _______________

4. 15

135

6

53 + 4. _______________

5. 16

721

12

55 + 5. _______________

6. 4

35

14

137 + 6. _______________

7. 3

28

8

18 + 7. _______________

8. 7

43

6

58 + 8. _______________

9. 3

210

5

35 + 9. _______________

10. 17

112

17

133 − 10. _______________

11. 19

53

19

1815 − 11. _______________

12. 3

22

10

36 − 12. _______________

13. 94

118 − 13. _______________



14. 4

13

2

16 − 14. _______________

15. 13

64

2

111 − 15. _______________

16. 4

14

11

78 − 16. _______________

17. 1 5

5 38 6− 17. _______________

18. 20

11416 − 18. _______________

19. Thomas Richman, a painter, spent 10

12 hours painting a house and

8

31 hours painting the house's trim. How long did he paint? 19. _______________

20. A carpenter cuts a piece 8

54 feet long from a piece of wood that is

2

18 feet long. How long is the remaining piece? 20. _______________


Additional Exercises 3.5 Name: Date: Insert < or > to form a true statement.

1. 9

6____

7

4 1. _______________

2. 34

20___

15

9 2. _______________

3. 50

14___

49

13 3. _______________

4. 21

9___

34

15 4. _______________

5. 26

19___

30

23 5. _______________

Evaluate each expression.

6. 2

2

1⎟⎠⎞

⎜⎝⎛ 6. _______________

7. 2

5

3⎟⎠⎞

⎜⎝⎛ 7. _______________

8. 3

7

5⎟⎠⎞

⎜⎝⎛ 8. _______________

9. 4

5

1⎟⎠⎞

⎜⎝⎛ 9. _______________

10. 32

5

2

4

1⎟⎠⎞

⎜⎝⎛⋅⎟

⎠⎞

⎜⎝⎛ 10. _______________

Perform each indicated operation.

11. 18

5

6

5 + 11. _______________



12. 3

2

8

7 ⋅ 12. _______________

13. 6

7

21

12 ÷ 13. _______________

14. 8

3

11

7 − 14. _______________

15. 6

1

3

16 ⋅ 15. _______________

Use the order of operations to simplify each expression.

16. 9

2

9

5

8

1 ÷⋅ 16. _______________

17. 94

3

5

33 ÷⎟

⎠⎞

⎜⎝⎛ +⋅ 17. _______________

18. 2

18

5

18

17⎟⎠⎞

⎜⎝⎛ − 18. _______________

Find the average of each list of numbers.

19. 14

3,

6

1 19. _______________

20. 8

3,

24

5,

12

11and 20. _______________


Additional Exercises 3.6 Name: Date:

1. A plumber has a 12-foot long pipe. How many 3

1-foot pieces can be cut

from this pipe? 1. _______________ 2. Rolf Plato traveled 498 miles using his car. For this distance, his car

consumed 273

2 gallons of gas. How many miles did Rolf travel for

each gallon of gallon of gas consumed. 2. _______________

3. Find the difference between 5

319 and

10

147 3. _______________


5,

12

5,

4

5and 4. _______________

5. The age of Jean is 4

1 of the age of her mother. If Jean is 14 years old,

how old is her mother? 5. _______________

6. The heights of Robert’s children are 1484

1 cm, 98 cm, and

4

3122 cm.

What is the average of their heights? 6. _______________ Perform the indicated operations.

7. ⎟⎠⎞

⎜⎝⎛⋅

4

3212 7. _______________

8. ⎟⎠⎞

⎜⎝⎛⋅+

4

322

4

312 8. _______________

9. ⎟⎠⎞

⎜⎝⎛ +⋅

4

1212 9. _______________

10. 2

321

21⎟⎠⎞

⎜⎝⎛

+++

10. _______________

11. 321

21 22

+++

11. _______________



12. Divide 4

3 by

3

4 12. _______________

13. Divide 3

11 by

3

12 . 13. _______________

14. Multiply 3

13 by

3

12 . 14. _______________

15. Subtract 4

14 from

4

15 . 15. _______________

16. The sides of squares in the figure below are 4

13 feet and 7 feet. What is

area of the shaded region? 16. _______________

Evaluate:

17. 1

3

13 ⎟

⎠⎞

⎜⎝⎛ 17. _______________

18. 2

2

12 ⎟

⎠⎞

⎜⎝⎛ 18. _______________

19. ⎟⎠⎞

⎜⎝⎛−⎟

⎠⎞

⎜⎝⎛

12

1212

2

1122 19. _______________

20. 151515

11515 ⋅−⎟

⎠⎞

⎜⎝⎛ 20. _______________


Additional Exercises 4.1 Name: Date: Write each decimal in words. 1. 4.73 1. _______________ 2. 10.6 2. _______________ 3. 0.238 3. _______________ 4. 256.091 4. _______________ 5. Mars has a density of 0.713 relative to the Earth's. 5. _______________ Write each decimal number in standard form. 6. Fifteen and seven hundredths 6._______________ 7. Four hundred seven and eight tenths 7. _______________ 8. Nine and eight hundred two thousandths 8. _______________ 9. Sixty-one ten thousandths 9. _______________ 10. Twelve and thirty-two thousandths 10. _______________ 11. During a recent storm, a town received thirteen and nine hundredths inches of snow. 11. _______________ Write each decimal as a fraction or a mixed number. Write your answer in simplest form. 12. 0.8 12. _______________ 13. 0.1053 13. _______________ 14. 11.064 14. _______________ 15. 4.7 15. _______________ 16. 51.55 16. _______________ Write each fraction as a decimal.

17. 10

8 17. _______________



18. 10

43 18. _______________

19. 1000

781 19. _______________

20. 10

25 20. _______________


Additional Exercises 4.2 Name: Date: Insert <, >, or = to form a true statement. 1. 0.43 ___ 0.42 1. _______________ 2. 9.16 ___ 9.61 2. _______________ 3. 5.29___ 5.2900 3. _______________ 4. 0.048___ 0.05 4. _______________ 5. 376.1208___ 376.1028 5. _______________ 6. 0.00207___ 0.20700 6. _______________ In problems 7-13, round each decimal to the given place value. 7. 0.76, nearest tenth 7. _______________ 8. 0.823, nearest hundredth 8. _______________ 9. 4.9153, nearest thousandth 9. _______________ 10. 68.554, nearest tenth 10. _______________ 11. 2.0775, nearest hundredth 11. _______________ 12. 71.30842, nearest thousandth 12. _______________ 13. 185.01684, nearest thousandth 13. _______________ In problems 14-20, round each money amount to the nearest cent or dollar as indicated. 14. $0.059, nearest cent 14. _______________ 15. $0.325, nearest cent 15. _______________ 16. $437.96, nearest dollar 16. _______________ 17. $16,843.51, nearest dollar 17. _______________ 18. A gallon of gas costs $1.5949. Round this price to the nearest cent. 18. _______________ 19. Average money spent at an amusement park was $27.5952. Round to the nearest cent. 19. _______________


Additional Exercises 4.2 (cont.) 20. In 1996, U.S. farmers averaged $0.209 per pound of apples. Round this price to the nearest cent. 20. _______________


Additional Exercises 4.3 Name: Date: Add. 1. 126.3 + 111.5 1. _______________ 2. 18.13 + 22.7 2. _______________ 3. 0.005 + 0.042 3. _______________ 4. 31.89 + 425.016 4. _______________ 5. 167.37 + 56.083 5. _______________ 6. 73.6 + 9.48 + 0.091 6. _______________ 7. 57.4 + 6.95 + 0.084 7. _______________ Subtract. 8. 6.8 - 1.5 8. _______________ 9. 43 - 2.8 9. _______________ 10. 2.5 - 1.06 10. _______________ 11. 743.6 - 68.9 11. _______________ 12. 800.29 - 357.54 12. _______________ 13. Subtract 3.5 from 60. 13. _______________ 14. Subtract 7.6 from 35. 14. _______________ 15. Subtract 12.9 from 50. 15. _______________ 16 – 20. Solve the following applied problems. Be sure to estimate to see if your answer is reasonable. 16. Compute the total monthly cost of utilities given the information shown below. Combined cost of water, sewage and electricity per month: $87.43 16. a. _____________ Average cost of telephone per month: $32.59 Exact Average cost of natural gas per month: $28.67 Monthly cost of cable television: $38.40 b. ____________ Estimate


Additional Exercises 4.3 (cont.) 17. A bottle of shampoo costs $1.89 plus $0.15 tax 17. a._____________ What is the total cost? Exact b. ___________ Estimate 18. Find how much fencing is needed to enclose the field 18. a._____________ with the dimensions shown. Exact 83.5 yd. b. ___________ Estimate 52.8 yd. 61.5 yd 74.6 yd.

19. Louis bought $28.79 worth of groceries. If he paid with two $20 19. a. ___________ bills, what was his change? Exact b. ___________ Estimate 20. Indiana has a population density of 154.8 people per square mile. 20. a. __________ California has a population density of 190.8 people per square miles. Exact How many more people per square mile does California have than Indiana? b. __________ Estimate


Additional Exercises 4.4 Name: Date: Multiply. 1. 3.11 × 0.4 1. _______________ 2. 0.6 × 0.4 2. _______________ 3. 0.17 × 2 3. _______________ 4. 2.8 × 5.3 4. _______________ 5. 4.29 × 6.7 5. _______________ 6. 1.0091 × 4.2 6. _______________ 7. 80.5 × 0.036 7. _______________ 8. 19.002 × 8.13 8. _______________ Multiply. 9. 6.8 ×10 9. _______________ 10. 2.4 ×100 10. _______________ 11. 5.013 × 100 11. _______________ 12. 7.9 × 0.001 12. _______________ 13. 0.03 × 0.01 13. _______________ In problems 14-16, write each number in standard form. 14. In 1997, Arkansas had 42.5 thousand farms. 14. _______________ 15. In 1995, there were about 2.598 million public school classroom teachers in the U.S. 15. _______________ 16. One cracker has 0.75 grams of fat. How much fat is in 5 crackers? 16. _______________


Additional Exercises 4.4 (cont.) In problems 17-19, find the circumference of each circle. Then use the approximation 3.14 for π and approximate each circumference. 17. 17. _______________

17 in.

18. 18. _______________

2.3 km

19. 19. _______________

1.9 m

20. A meter is approximately equal to 39.37 inches. Miranda is 1.58 meters tall. Find her approximate height in inches. 20. _______________


Additional Exercises 4.5 Name: Date: Divide. 1. 0.48 ÷ 8 1. _______________ 2. 2.48 ÷ 12 2. _______________ 3. 0.07 ÷0.002 3. _______________ 4. 184.256.0 4. _______________

5. 0.851 ÷ 3.7 5. _______________ 6. 5.994 ÷ 0.18 6. _______________

7. 100

12.0 7. _______________

8. 54 ÷ 0.009 8. _______________ 9. 46.92 ÷ 9.2 9. _______________

10. 3.0960.043

10. _______________

11. 076.01000 11. _______________

Simplify the expression 12. 0.4(9.2 – 2.9) 12. _______________

13. 09.0

4.02.3 + 13. _______________

14. ( ) 4.93.36.4 2 −+ 14. _______________

15. ( )100

7.8 2 15. _______________

16. ( )( ) ( )( )

3.0

101.41001.4 − 16. _______________


Additional Exercises 4.5 (cont.) 17. Divide 719.26 by 2.8. Round the quotient to the nearest hundredth. 17. _______________ 18. There are approximately 2.54 centimeters in 1 inch. Stan is 190.5 centimeters tall. How many inches tall is he? 18. _______________ 19. The total cost of a loan is $11,351.04. How many monthly payments of $236.48 would it take to payoff the loan? 19. _______________ 20. A high school basketball player scored 432 points in 24 games. What was her average number of points per game? 20. _______________


Additional Exercises 4.6 Name: Date: Write each fraction as a decimal. Round to the nearest hundredth, if necessary.

1. 24

12 1. _______________

2. 25

4 2. _______________

3. 8

5 3. _______________

4. 7

2 4. _______________

5. 16

7 5. _______________

6. 1 49

6. _______________

7. 811

7. _______________

8. 2 913

8. _______________

9. 31415

9. _______________

10. 17

5 10. _______________

11. A basketball player made 114

33of his shots for the season. 11. _______________

12. In a recent election for the U.S. Senate, one candidate got

143

250 of the votes. 12. _______________


Additional Exercises 4.6 (cont.) Insert <, >, or = to form a true statement. 13. 0.0475 ___0.0457 13. _______________

14. 15

4___

7

2 14. _______________

15. 61

53___

6

5 15. _______________

16. 12

11___ 0.9167 16. _______________

Write the numbers in order from smallest to largest. 17. 0.812 0.8112 0.821 17. _______________

18. 22 171.41615 12

18. _______________

Find the area of each triangle. 19. 19. _______________

9.3 in.

8.2 in. 20. 20. _______________

4.2 m

5.8 m


Additional Exercises 5.1 Name: Date: Write each ratio using fractional notation. Do not simplify. 1. 9 to 13 1. _______________ 2. 12 to 7 2. _______________

3. 1 1

1 62 3

to 3. _______________

Write each ratio as a fraction in simplest form. 4. 24 to 42 4. _______________ 5. 3.2 to 4.8 5. _______________ 6. 30 hours to 36 hours 6. _______________ 7. 180 miles to 40 miles 7. _______________ 8. 640 acres to 100 acres 8. _______________

9. 12

cup to 34

cup 9. _______________

10. 5

18

gallons to 3

14

gallons 10. _______________

11. 2.5 meters to 5 meters 11. _______________ A rectangular storage building is 12 feet long and 8 feet wide. 12. Find the ratio of the width to the length in simplest terms. 12. _______________ 13. Find the ratio of the length to the perimeter of the building. 13. _______________ A literature class has 14 women and 12 men. 14. Find the ratio of men to women. 14. _______________ 15. Find the ratio of women to total students. 15. _______________


Additional Exercises 5.1 (cont.) A poll showed that 35 out of 77 households with children in a community were single-parent households. 16. Find the ratio of single-parent households to total households. 16. _______________ 17. Find the ratio of single-parent households to two-parent households. 17. _______________ In a 50-minute class period, an instructor plans 20 minutes for lecture, 15 minutes for guided practice, and 15 minutes for a daily quiz. 18. Find the ratio of lecture time to class time 18. _______________ 19. Find the ratio of quiz time to lecture time. 19. _______________ 20. Find the ratio of lecture and guided practice time to quiz time. 20. _______________


Additional Exercises 5.2 Name: Date: Write each rate as a fraction in simplest form. 1. $80,000 for 30 acres of timber 1. _______________ 2. 45 children in 18 families 2. _______________ 3. 9 inches of snow in 30 days 3. _______________ 4. 600 miles in 90 minutes 4. _______________ 5. 4,000 books on 12 shelves 5. _______________ 6. 240 pages in 96 minutes 6. _______________ Write each rate as a unit rate. 7. 504 calories in 12 ounces 7. _______________ 8. $3,500,000 paid over 20 years 8. _______________ 9. 4,200 gallons in 30 hours 9. _______________ 10. 8 miles in 32 minutes 10. _______________ 11. 85 windows in 5 houses 11. _______________ 12. 48 tons in 8 hours 12. _______________ Find each unit price. 13. $5.20 for 20 issues 13. _______________ 14. $6.75 for 9 dozen 14. _______________ Find each unit rate. Round to the nearest whole number. 15. 526 boxes packed in 8 hours 15. _______________ 16. 10,127 students for 563 teachers 16. _______________ 17. 355.7 miles driven on 12.1 gallons of gasoline 17. _______________


Additional Exercises 5.2 (cont.) Find each unit price and decide which is the better buy. Round to 3 decimal places. 18. Polyethylene construction film: $25.95 for 1200 square feet or $36.95 for 1600 square feet 18. _______________ 19. Treated lumber: $2.79 for an 8-foot board or $4.28 for a 12-foot board. 19. _______________ 20. Roofing nails: $19.95 for 50 pounds or $23.10 for 60 pounds. 20. _______________


Additional Exercises 5.3 Name: Date: 1. Complete the statement: “A proportion is a statement that ____ ratios or rates are equal.” 1. _______________ Write each sentence as a proportion. 2. 2 eggs is to 3 cups of flour as 6 eggs is to 9 cups of flour 2. _______________ 3. 1.5 meters is to 5 kilometers as 0.3 meters is to 1 kilometer 3. _______________

4. 12

page is to 30 minutes as 2 pages is to 120 minutes 4. _______________

Determine whether each proportion is a true proportion.

5. 6 49 6= 5. _______________

6. 5 2412 60

= 6. _______________

7. 3 94 16= 7. _______________

8. 3 13 74 21 11 24 2

= 8. _______________

9. 0.3 1.20.5 1.5

= 9. _______________

10. 1

223 34

= 10. _______________

For each proportion, find the unknown number, n.

11. 2288 12

n= 11. _______________

12. 10 1518n

= 12. _______________



13. 10080 64n = 13. _______________

14. 16 3248n

= 14. _______________

15. 1 21 23 3

12

n= 15. _______________

16. 51 306

n= 16. _______________

17. 5364

12

n= 17. _______________

18. 171 142

n= 18. _______________

19. 0.30.8 2.4

n= 19. _______________

20. 1.41.8 2.1n = 20. _______________


Additional Exercises 5.4 Name: Date: Cori's car averages 390 miles on a 12-gallon tank of gas. 1. How far can she drive on 5 gallons of gas? 1. _______________ 2. How many gallons of gas would she use on a 1,040 miles trip? 2. _______________ The human body contains 90 pounds of water for every 100 pounds of body weight. 3. How many pounds of water are in Tyler’s body if he weighs 70 pounds. 3. _______________ 4. How much does Josh weigh if he has 103.5 pounds of water in his body. 4. _______________ An animal shelter allows 144 square feet of yard space per dog. 5. Find the minimum yard space for 15 dogs. 5. _______________ 6. They plan to fence a rectangular area that is 90 feet by 40 feet. Find the maximum number of dogs the new yard can accommodate. 6. _______________ On a blueprint, 1 inch corresponds to 5 feet. 7. Find the length of a wall represented by a line 2 inches long. 7. _______________ 8. If an interior wall is 20 feet, find how long the blue print measurement should be. 8. _______________ Local sales tax is $6.25 for every $100 purchase. 9. If sales tax on a sofa is $52.50, what was the purchase price of the sofa? 9. _______________ 10. Find the sales tax on a refrigerator priced at $2,100. 10. _______________ A survey revealed that 3 out of 5 people prefer chocolate ice cream. 11. In a class of 25, how many students are likely to prefer chocolate ice cream? 11. _______________ 12. If 21 people in a room prefer chocolate, how many people are likely to be in the room? 12. _______________


Additional Exercises 5.4 (cont.) Blythe's family drinks 2 gallons of milk every 3 days. : 13. How many gallons of milk do they drink in a year with 365 days? Round to the nearest gallon. 13. _______________ 14. How many gallons do they drink each week? 14. _______________ An entomologist counted 35 fire ants in 4 square feet of infested lawn. 15. How many fire ants should there be per square foot of lawn? Round to the nearest hundredth. 15. _______________ 16. If a pesticide kills 4 out of every 5 ants, how many ants should be killed in each square foot of the lawn? 16. _______________ 17. How many fire ants would be expected in the entire lawn of 2,480 square feet? Round to the nearest whole number. 17. _______________

A recipe needs 1

22

cups of flour and 1

12

cups of sugar for 6 servings.

18. How many cups of flour are needed for 10 servings. 18. _______________ 19. How many cups of sugar are needed for 1 serving. 19. _______________ 20. How much flour and sugar is needed for 8 servings. 20. _______________


Additional Exercises 6.1 Name: Date: 1. At an election, 55 out of every 100 eligible voters turned out to vote. What percent of eligible voters turned out? 1. _______________ 2. In a survey of 100 people, 42 people preferred the color blue. What percent preferred blue? 2. _______________ 3. To write a decimal as a percent, multiply by ? 3. _______________ 4. To write a percent as a decimal, remove the percent symbol and multiply by ? 4. _______________ Write each percent as a decimal. 5. 52% 5. _______________ 6. 2% 6. _______________ 7. 1.3% 7. _______________ 8. 10.5% 8. _______________ 9. 0.8% 9. _______________ 10. 100% 10. _______________ 11. 150% 11. _______________ 12. 360% 12. _______________ Write each decimal as a percent. 13. 0.27 13. _______________ 14. 5.8 14. _______________ 15. 0.024 15. _______________ 16. 0.875 16. _______________ 17. 0.007 17. _______________ 18. 1.2 18. _______________ 19. 3.20 19. _______________ 20. 7.0 20. _______________


Additional Exercises 6.2 Name: Date: 1. To write a percent as a fraction, replace the percent symbol with the fraction equivalent ? and multiply. 1. _______________ 2. To write a fraction as a percent, multiply by ? . 2. _______________ Write each percent as a fraction or mixed number in simplest form. 3. 16% 3. _______________ 4. 40% 4. _______________ 5. 5% 5. _______________ 6. 1.5% 6. _______________ 7. 10.2% 7. _______________ 8. 120% 8. _______________ 9. 350% 9. _______________ 10. 210% 10. _______________ Write each fraction or mixed number as a percent. Round to the nearest hundredth percent.

11. 1735

11. _______________

12. 18

12. _______________

13. 133

13. _______________

14. 415

14. _______________

15. 7310

15. _______________

16. 5418

16. _______________


Additional Exercises 6.2 (Cont.)

17. 3014

17. _______________

18. 411

18. _______________

19. 5% of dogs in a community do not have a license. Write this percent as a fraction. 19. _______________ 20. The sales tax rate in Caddo Gap, Arkansas is 5.125%. Write this percent as a decimal. 20. _______________


Additional Exercises 6.3 Name: Date: 1. In the following statement, identify the (a) amount, (b) base, and (c) the percent: 16 is 25% of 64. 1. _______________ Translate each to an equation. Do not solve. 2. 16% of 58 is what number? 2. _______________ 3. What number is 40% of 12? 3. _______________ 4. 75% of what number is 17? 4. _______________ 5. What percent of 70 is 30? 5. _______________ 6. What number is 45% of 900? 6. _______________ 7. 38% of 60 is what number? 7. _______________ 8. 40 is 80% of what number? 8. _______________ 9. 2.6 is 13% of what number? 9. _______________ 10. 48 is what percent of 40? 10. _______________ Solve. 11. 120 is what percent of 160? 11. _______________ 12. 0.2 is 40% of what number? 12. _______________ 13. 21 is 10% of what number? 13. _______________ 14. 840 is 8% of what number? 14. _______________ 15. 6.6 is what percent of 120? 15. _______________ 16. What percent of 45 is 135? 16. _______________ 17. What percent of 20 is 16.8? 17. _______________ 18. 0.5% of 6500 is what number? 18. _______________ 19. 180% of what number is 1116? 19. _______________ 20. 10.2% of 143.5 is what number? 20. _______________


Additional Exercises 6.4 Name: Date: 1. In the following equation, identify the (a) amount, (b) base,

and (c) percent: 42 12.6

100 30= 1._______________

Translate each to a proportion. Do not solve. 2. What number is 12% of 15? 2. _______________ 3. 30% of what number is 70? 3. _______________ 4. What percent of 7 is 1.4? 4. _______________ 5. 4.6 is what percent of 23? 5. _______________ 6. 15 is what percent of 5? 6. _______________ 7. 20% of 44 is what number? 7. _______________ 8. What number is 85% of 300? 8. _______________ 9. 40 is 25% of what number? 9. _______________ 10. 60% of what number is 90? 10. _______________ Solve. 11. 22.4 is what percent of 16? 11. _______________ 12. 23 is what percent of 50? 12. _______________ 13. 15% of 8 is what number? 13. _______________ 14. 56 is what percent of 80? 14. _______________ 15. 105 is what percent of 2100? 15. _______________ 16. 125 is 25% of what number? 16. _______________ 17. 115% of 22 is what number? 17. _______________ 18. 103.2 is what percent of 86? 18. _______________ 19. What percent of 1.2 is 1.8? 19. _______________ 20. 230% of what number is 46? 20. _______________


Additional Exercises 6.5 Name: Date: Solve. If necessary, round to the nearest tenth of a percent. 1. An inspector found 15 defective batteries during an inspection. If this is 2.5% of the total number of batteries inspected, how many batteries were inspected? 1. _______________ 2. Mrs. Wilkes paid 12% of the purchase price of a $95,000 home as a down payment. How much did she pay down? 2. _______________ 3. The Talbot family’s total income is $3000 per month. Last month, they spent $450 dining out. What percent of their monthly income was spent on dining out? 3. _______________ 4. On average, 0.8% of the cookies baked by a bakery are discarded. If 1210 cookies were discarded during one week, how many were baked? 4. _______________ 5. Elaine's salary last year was $60,000. This year she received a 5% raise. What is her salary this year? 5. _______________ 6. Last year, Mrs. Lutz had 40 piano students. This year, she has 56 students. Find the percent increase. 6. _______________ 7. The average number of customers per day at Dawson's Toy Store decreased from 240 to 210. Find the percent decrease. 7. _______________ 8. The Rocky Valley Motel charges $60.00 a night during the summer, but $45.00 a night during the fall. What is the percent decrease? 8. _______________ 9. The price of a gallon of milk increased from $3.05 to $3.18. Find the percent increase. 9. _______________ 10. With the addition of a new wing, a rural hospital with 156 beds now has 210 beds. Find the percent increase. 10. _______________ 11. A bill passed to decrease taxes by 2%. If Sean paid $3120 in taxes last year, what tax will he pay this year if his income remains the same? 11. _______________ 12. The wholesale cost of a lamp is $15. If a store has a standard mark-up of 30%, what will be the retail purchase price of the lamp? 12. _______________ 13. The size of the Greene family cattle herd was 652 before selling 240 heifers. What was the size of the herd after the sale and what was the percent decrease? 13. _______________


Additional Exercises 6.5 (cont.) 14. A salad dressing has 340 mg of sodium per serving. This is 14% of the daily recommended amount of sodium. What is the daily recommended amount of sodium? 14. _______________ 15. There are a total of 190 calories per 2 tablespoon serving of crunchy peanut butter. Of these,130 are from fat. Find what percent of total 15. _______________ calories is from fat. 16. Find the percent increase if 150 is increased to 210. 16. _______________ 17. Find the amount of increase and new amount if 75 is increased by 40%. 17. _______________ 18. Find the percent decrease if 120 is decreased to 60. 18. _______________ 19. Find the amount of decrease and the new amount if $84.50 is decreased by 12%. 19. _______________ 20. Sun Computers currently produces 160 computers per month. If production increases 5%, find the new number of computers produced per month. 20. _______________


Additional Exercises 6.6 Name: Date: Solve. 1. If the sales tax rate is 7%, find the sales tax on a $350 fax machine. 1. _______________ 2. What is the sales tax on a $250 television if the sales tax rate is 6%? 2. _______________ 3. A refrigerator sells for $600. With a sales tax rate of 6.5%, find the total price. 3. _______________ 4. Find the total price if a sports utility vehicle sells for $36,500 and sales tax rate of 5%. 4. _______________ 5. Daniel bought shoes for $85 and a shirt for $35. Find the total price he paid if the sales tax rate was 5.5%. 5. _______________ 6. The sales tax is $72 on a desk priced at $1500. Find the sales tax rate. 6. _______________ 7. The sales tax is $0.54 on an $9 purchase. Find the sales tax rate. 7. _______________ 8. Find the amount of sales tax and the total price on a $53.49 item with an 8.25% sales tax rate. 8. _______________ 9. Hazel is paid a commission rate of 4% on all sales. Her sales were $103,000 last month, what was her commission for the last month? 9. _______________ 10. Evelyn receives a 3.8% commission on all sales. If she sold $2520 worth of merchandise last week, what was her commission? 10. _______________ 11. A salesman earned a commission of $2520 for selling 56,000 worth of hardware. What is his commission rate? 11. _______________ 12. How much commission will Keith receive from the sale of an $89,000 home if he receives 2% of the sale price? 12. _______________ 13. An insurance agent earned $14,000 for selling $2,800,000 worth of insurance. What is her commission rate? 13. _______________


Additional Exercises 6.6 (cont.) Find the amount of discount and the sale price. Original Price Discount Rate 14. $15 20% 14. _______________ 15. $420 12% 15. _______________ 16. $1080 10% 16. _______________ 17. $999 30% 17. _______________ 18. $2000 50% 18. _______________ 19. $56 25% 19. _______________ 20. $85 20% 20. _______________


Additional Exercises 6.7 Name: Date: Find the simple interest. 1. Principal: $450; Rate: 12%; Time: 2 years 1. _______________ 2. Principal: $15,000; Rate: 6%; Time: 3 years 2. _______________ 3. Principal: $2000; Rate: 8%; Time: 4 years 3. _______________ 4. Principal: $800; Rate: 14%; Time: 3 months 4. _______________ 5. Principal: $1000; Rate: 9%; Time: 6 months 5. _______________ 6. Principal: $300; Rate: 10%; Time: 8 months 6. _______________ 7. Cleve borrows $8000 and agrees to pay it back in 2 years. If the simple interest rate is 13%, find the total amount he pays back. 7. _______________ 8. Mitch takes out a 9-month short-term loan of $2500 to buy a new computer. If the interest rate is 17%, find the total amount due at the end of the 9 months. 8. _______________ 9. A Certificate of Deposit pays simple interest at a 7.5% interest rate. Find the value of a $1000 18-month CD. 9. _______________ 10. Find the total amount due if $500 is borrowed at 9% simple interest for 6 months. 10. _______________ Find the total amount in each compound interest account. 11. $6,000 compounded annually; Rate: 13%; Time: 2 years. 11. _______________ 12. $12,000 compounded monthly; Rate: 7%; Time: 5 years. 12. _______________ 13. $500 compounded quarterly; Rate: 10%; Time: 10 years. 13. _______________ 14. $3000 compounded semiannually; Rate: 12%; Time: 15 years. 14. _______________ 15. $4000 is compounded quarterly; Rate: 8%; Time: 8 years. 15. _______________


Additional Exercises 6.7 (cont.) 16. If $10,000 is invested for 10 years at a rate of 10% compounded monthly, find the total amount of compound interest earned. 16. _______________ 17. Mill River Savings Bank advertises a savings account rate of 12% compounded quarterly. What will be the total amount of compound interest earned if $600 is placed in an account for 5 years? 17. _______________ 18. $5600 is borrowed for 3 years. If the interest on the loan is $2016, find the monthly payments. 18. _______________ 19. $28,000 is borrowed for 20 years. If the interest on the loan is $30,317.88, find the monthly payments. 19. _______________ 20. $2000 is borrowed for 8 months. If the interest is $64.29, find the monthly payments. 20. _______________


Additional Exercises 7.1 Name: Date: 1. Write the unit fraction for yards and inches. 1. _______________ Convert each measurement as indicated. 2. 135 in. to feet 2. _______________ 3. 2.8 mi to feet 3. _______________ 4. 14 ft to yards 4. _______________ 5. 115 in. to feet and inches 5. _______________ 6. 5 ft 9 in. to inches 6. _______________ Perform each indicated operation. Simplify the result if possible. 7. 8 yd 2 ft + 15 yd 2 ft 7. _______________ 8. 12 ft 7 in. - 10 ft 11 in. 8. _______________ 9. 7 yd 1 ft ÷ 2 9. _______________ 10. 9 × 2 ft 5 in. 10. _______________

11. An airplane is cruising at an altitude of 39,600 feet. How many miles is this? 11. _______________ 12. Write the unit fraction for meters and centimeters. 12. _______________ Convert each measurement as indicated. 13. 650 m to kilometers 13. _______________ 14. 40.7 mm to decimeters 14. _______________ 15. 0.08 m to millimeters 15. _______________ Perform each indicated operation. 16. 70 cm + 4.4 m 16. _______________ 17. 14 km - 5830 m 17. _______________



18. 3 ×19.4 m 18. _______________ 19. 15.6 kg ÷ 4 19. _______________ 20. Clarissa needs 50 centimeters of ribbon to make a bow. How many bows can she make out of 8 meters of ribbon? 20. _______________



1. Write the unit fraction for tons and pounds. 1. _______________ Convert as indicated. 2. 38 oz to pounds 2. _______________ 3. 5.7 tons to pounds 3. _______________

4. 7 34

lb to ounces 4. _______________

5. 43 oz to the nearest tenth of a pound 5. _______________ Perform each indicated operation. 6. 28 lb 9 oz + 15 lb 10 oz 6. _______________ 7. 8 tons 1150 lb - 3 tons 725 1b 7. _______________ 8. 5 × 3 lb 9 oz 8. _______________ 9. 7 tons 400 lbs ÷ 6 9. _______________ 10. A coal mine produced 2 tons 1500 pounds of coal one day and 2 tons 1600 pounds the next day. How much coal did the mine produce in the two days? 10. _______________ 11. Write the unit fraction for centigrams and grams. 11. _______________ Convert as indicated. 12. 790 g to kilograms 12. _______________ 13. 5.1 g to milligrams 13. _______________ 14. 670 mg to grams 14. _______________ 15. 9.3 kg to grams 15. _______________ Perform each indicated operation. 16. 7.1 g + 342 mg 16. _______________


Additional Exercises 7.2 (cont.) 17. 8kg - 6312g 17. _______________ 18. 4.9 ×7.6 kg 18. _______________ 19. 5.43 mg ÷ 6 19. _______________ 20. A box of oatmeal weighs 507 grams and has 13 servings. How much does each serving weigh? 20. _______________


Additional Exercises 7.3 Name: Date: 1. Write the unit fraction for quarts and cups. 1. _______________ Convert each measurement as indicated. 2. 52 fl oz to cups 2. _______________ 3. 11 pt to quarts 3. _______________ 4. 4 pt to fluid ounces 4. _______________ 5. 16 pt to gallons 5. _______________ Perform each indicated operation. 6. 3 gal 2 qt + 7 gal 3 qt 6. _______________ 7. 5 pt - 3 pt 2 c 7. _______________ 8. 3 × 1 qt 1 pt 8. _______________ 9. 7 gal 2 qt ÷ 2 9. _______________ 10. A garage has a drum that holds 30 gallons of motor oil. If it takes 5 quarts of oil to service a car, how many cars can the garage service from the oil in the drum? 10. _______________ 11. Write the unit fraction for liters and centiliters. 11. _______________ Convert each measurement as indicated. 12. 7.7 L to milliliters 12. _______________ 13. 3.7 L to kiloliters 13. _______________ 14. 240 ml to liters 14. _______________ 15. 0.59 kl to liters 15. _______________ Perform each indicated operation. 16. 6800 ml + 2.4 L 16. _______________ 17. 8.1 kl - 2900L 17. _______________


Additional Exercises 7.3 (cont.) 18. 9 × 360 ml 18. _______________ 19. 6.9 L + 4666 mL 19. _______________ 20. Carol Shumacher drank 360 ml of cola from a 2-liter bottle. How much cola remains in the bottle? 20. _______________



1. Write the unit fraction for feet and meters. 1. _______________ 2. Write the unit fraction for liters and gallons. 2. _______________ 3. Write the unit fraction for pounds and kilograms. 3. _______________ Convert as indicated. When necessary, round answers to two decimal places. 4. 5 km to miles 4. _______________ 5. 4 meters to inches 5. _______________ 6. 60 inches to centimeters 6. _______________ 7. 2.5 feet to centimeters 7. _______________ 8. 40 liters to gallons 8. _______________ 9. 17 quarts to liters 9. _______________ 10. 36 liters to quarts 10. _______________ 11. 82 fluid ounces to milliliters 11. _______________ 12. 27 kilograms to pounds 12. _______________ 13. 13 ounces to grams 13. _______________ 14. 51.6 pounds to kilograms 14. _______________ 15. 60.1 grams to ounces 15. _______________ 16. A tank can hold 71 liters of a chemical. If a student removed

14 gallons, how many liters are left in the tank. 16. _______________ 17. An amusement park ride had a sign posted that said you must be at least 4 feet tall to ride. Ally measures 145 cm tall. Can Ally go on the ride? 17. _______________ 18. On a recent road trip, John and Sue drove 475 miles in the United States and 110 kilometers in Mexico. How many kilometers did they travel total. 18. _______________


Additional Exercises 7.4 (con’t) 19. Joe and Alice drove 496 miles in 8 hours. What was their average speed in kilometers per hour? Round your answer to the nearest whole number if necessary. 19. _______________ 20. A popular mouthwash instructs that one dose is 20 mL of liquid. How many fluid ounces is one dose? 20. _______________



Convert as indicated. When necessary, round to the nearest tenth of a degree. . 1. 44° F to degrees Celsius 1. _______________ 2. 108° F to degrees Celsius 2. _______________ 3. 34° F to degrees Celsius 3. _______________ 4. 58° F to degrees Celsius 4. _______________ 5. 65° F to degrees Celsius 5. _______________ 6. 73° F to degree Celsius 6. _______________ 7. 95° F to degree Celsius 7. _______________ 8. 124° F to degree Celsius 8. _______________ 9. 86° F to degrees Celsius 9. _______________ 10. 50° C to degrees Fahrenheit 10. _______________ 11. 10° C to degrees Fahrenheit 11. _______________ 12. 5° C to degrees Fahrenheit 12. _______________ 13. 25° C to degrees Fahrenheit 13. _______________ 14. 32° C to degrees Fahrenheit 14. _______________ 15. 46° C to degrees Fahrenheit 15. _______________ 16. 41°C to degrees Fahrenheit 16. _______________ 17. 22° C to degrees Fahrenheit 17. _______________ 18. 62° C to degrees Fahrenheit 18. _______________ 19. A European cake recipe said to heat the oven to 190°C. Find the temperature setting on an oven with Fahrenheit controls. 19. _______________ 20. The highest recorded temperature in Nevada, through 1996, was 125° F. Find the corresponding temperature in degrees Celsius. 20. _______________


Additional Exercises 7.6 Name: Date 1. One foot-pound (ft-lb) is the amount of energy needed to lift ? - pound object a distance of ? foot. 1. _______________ 2. How much energy is required to carry an 8-pound backpack 240 feet between buildings? 2. _______________ 3. How much energy is required for a 145-pound person to walk 67 feet? 3. _______________ 4. How many foot-pounds of energy are needed to move 1.25 tons of gravel 26 feet? 4. _______________ 5. How many foot-pounds of energy are needed to dig a ditch containing 0.75 tons of dirt, if each shovel of dirt only has to be moved 2 feet? 5. _______________ 6. 1 BTU = ? ft-lb 6. _______________ 7. Convert 25 BTU to foot-pounds. 7. _______________ 8. Convert 350 BTU to foot-pounds. 8. _______________ 9. Convert 12,500 BTU to foot-pounds. 9. _______________ 10. Convert 28,000 BTU to foot-pounds. 10. _______________ 11. A 18,000 BTU air conditioner requires how many foot-pounds of energy to operate? 11. _______________ 12. A 25,000 BTU heater requires how many foot-pounds of energy to operate? 12. _______________ 13. A 12,000 BTU heat pump requires how many foot-pounds of energy to operate? 13. _______________ 14. 7,000,000 ft-lb. is equivalent to how many BTU rounded to the nearest whole number? 14. _______________ 15. 950,000 ft-lb. is equivalent to how many BTU rounded to the nearest whole number? 15. _______________ 16. A calorie is the amount of heat required to raise the temperature of ? kilogram of water ? degree Celsius. 16. _______________ 17. Steve Kratz burns 270 calories per hour dancing. How long must Steve dance after dinner to burn off a 1215-calorie dessert he ate? 17. _______________


Additional Exercises 7.6 (cont.) 18. Christina Morales burns 650 calories per hour during her vigorous exercise routine. How many calories does she need to exercise 30 minutes a day, 5 days a week? 18. _______________ 19. One pound of body weight is lost whenever 3500 calories are burned off. Elias Brown burns 280 calories an hour swimming laps. How many hours does he need to swim in order to lose one pound? 19. _______________ 20. One pound of body weight is lost whenever 3500 calorie are burned off. Olga Marx burns 250 calories an hour practicing ballet. How many hours does she need to practice in order to lose one pound? 20. _______________


Additional Exercises 8.1 Name: Date: Identify each figure as a line, a ray, a line segment, or an angle. 1. 1. _______________

2. 2. _______________

3. 3. _______________

Find the measure of each angle in the figure.

4. ∠XWZ 4. _______________ 5. ∠VWZ 5. _______________ 6. ∠VWY 6. _______________

Classify each angle as acute, right, obtuse, or straight. 7. 7. _______________


Additional Exercises 8.1 (Cont.) 8. 8. _______________

9. 9. _______________

10. 10. _______________

11. Find the complement of an 8° angle. 11. _______________ 12. Find the complement of a 76° angle. 12. _______________ 13. Find the supplement of a 27˚ angle. 13. _______________ 14. Find the supplement of a 153˚ angle. 14. _______________ Find the measure of ∠ x in each figure. 15. 15. _______________

16. 16. _______________

17. Identify the pairs of complementary angles. 17. _______________



18. Identify the pairs of supplementary angles. 18. _______________

Find the measures of angle x, y, and z in each figure. 19. 19. _______________

20. 20. _______________


Additional Exercises 8.2 Name: Date: Classify each triangle as equilateral, isosceles, or scalene. 1. 1. _______________

2. 2. _______________

3. 3. _______________

Find the measure of ∠ x in each figure. 4. 4. _______________

5. 5. _______________

Fill in each blank. 6. A closed-plane figure that consists of three or more line segments that meet at their end points is a _______ 6. _______________ 7. The side opposite the right angle in a right triangle is the ? 7. _______________ 8. The distance across a sphere, passing through the center is the _____ of the sphere. 8. _______________


Additional Exercises 8.2 (Cont.) Determine whether each statement is true or false. 9. A trapezoid is also a quadrilateral. 9. _______________ 10. A scalene triangle is also isosceles. 10. _______________ 11. A rhombus is also a hexagon. 11. _______________ 12. A square is also a parallelogram. 12. _______________ Identify each regular polygon. 13. 13. _______________

14. 14. _______________

Identify each solid. 15. 15. _______________

16. 16. _______________

17. The radius of a sphere is 9.6 centimeters. Find its diameter. 17. _______________ 18. The diameter of a sphere is 25 miles. Find its radius. 18. _______________


Additional Exercises 8.2 (Cont.) Identify the shape of each item 19. 19. _______________

20. 20. _______________


Additional Exercises 8.3 Name: Date: Find the perimeter of each figure. 1. 1. _______________

9 m

3.5 m

2. 2. _______________

9 ft 12 ft

15 ft 3. 3. _______________

7.5 in.

7.5 in.

4. 4. _______________

1.5 km

6 km

parallelogram

5. Baseboard is to be installed in a rectangular room that is 12 feet by 14 feet. Find how much baseboard is needed. 5. _______________ 6. Find how much fencing is needed to enclose a rectangular field 150 feet by 212 feet. 6. _______________ 7. A regular octagon has a side length of 2.5 inches. Find its perimeter. 7. _______________ 8. A landscape designer is planning a flower garden in the shape of a regular heptagon 3.5 feet on a side. The border to the garden costs $5.50 a foot. Find the total cost of the border. 8. _______________ 9. A regular pentagon has a side length of 4.2 centimeters. Find its perimeter. 9. _______________


Additional Exercises 8.3 (Cont.) Find the perimeter of each figure. 10. 10. _______________

5 cm

3 cm

8 cm

12 cm 11. 11. _______________

4 m 5 m

6 m

12 m

17 m 12. 12. _______________

21

21

3

26

13. 13. _______________


Additional Exercises 8.3 (Cont.) 14. A landscape designer is planning a flower garden in the shape of a hexagon 4 feet on a side. The border to the garden costs $4.50 a foot. Find the total cost of the border. 14. _______________ Find the circumference of each circle. Give the exact circumference and then an approximation. Use π = 3.14. 15. 15. _______________

38 ft

16. 16. _______________

23 m

17. 17. _______________

12.5 m

18. 18. _______________

29 miles

19. A circular track has a radius of 210 feet. About how many laps around the track does it take to make a mile? 19. _______________ 20. A large children’s ball has a diameter of 30 inches. Find the circumference of the ball. 20. _______________


Additional Exercises 8.4 Name: Date: 1. Area is always measured in ? units. 1. _______________ Find the area of the geometric figure. If the figure is a circle, give an exact area and then use π = 3.14 to approximate the area. 2. Find the area of a triangle whose base is 12 in. and height is 24 in. 2._______________ 3. 3. _______________

9 m

3.5 m

4. 4. _______________

9 ft 12 ft

15 ft 5. 5. _______________

29 miles

6. 6. _______________

38 ft

7. 7. _______________

12.5 m



2.5 ft

8 ft 9. 9. _______________

4 in.

3.5 in. 10. 10. _______________

9 cm

14 cm

11. 11. _______________

8 in.12 in.

7.4 in

12. 12. _______________

9 ft

11 ft

15 ft 13. 13. _______________

8 cm

5 cm

3 cm

12 cm



6 m

8 m

15. Find the area of a circle whose diameter is 9.5 cm. 15. _______________ 16. The floor of Mary Ellen’s attic is a rectangle 42 feet by 28 feet. Find how many square feet of insulation are needed to cover the attic floor. 16. _______________ 17. Find the area of a rectangular room with dimensions 24 ft and 74 ft. 17. _______________ 18. A round tablecloth has a 52-inch diameter. Approximate its area. Use π = 3.14. 18. _______________ 19. A page in a book measures 13.5 centimeters by 20 centimeters. Find its area. 19. _______________

20. A curtain measures 1

13

yd. by 1

22

yd. Find how many square

yards of material is needed for two curtains. 20. _______________


Additional Exercises 8.5 Name: Date: 1. Volume of a solid is measured in ? units. 1. _______________ Find the volume of each solid. Use π = 3.14. 2. 2. _______________

3. 3. _______________

4. 4. _______________

5. 5. _______________

6. 6. _______________



8. 8. _______________

9. 9. _______________

10. 10. _______________

11. 11. _______________

12. Find the volume of a rectangular box 2 meters by 1.7 meters by 2.5 meters. 12. _______________ 13. A block of ice is in the shape of a cube 2.5 feet on a side. Find its volume. 13. _______________ 14. Find the volume of a pyramid with a square base 7.5 inches on a side and a height of 8 inches. 14. _______________


Additional Exercises 8.5 (Cont.) 15. Approximate, to the nearest hundredth, the volume of a cylinder 5 centimeters tall if the base has a diameter of 3 centimeters.

Use 227

for π 15._______________

16. Approximate, to the nearest hundredth, the volume of a cone 9 meters

tall if the base has a radius of 7 meters. Use 227

for π . 16. _______________

17. Approximate, to the nearest hundredth, the volume of a sphere with a diameter of 42 inches. Use 3.14 forπ . 17. _______________ 18. A grain funnel is in the shape of a cone with the pointed end down. If the radius is 4 meters and the depth of the funnel is 6 meters,

approximate the volume of the funnel in cubic meters. Use 227

for π . 18. _______________

19. Find the capacity (volume in cubic centimeters) of a rectangular ice chest with inside measurements of 86 centimeters by 43 centimeters by 60 centimeters. 19. _______________ 20. A tennis ball has a diameter of 6 centimeters. Approximate, to the nearest hundredth, the volume of the ball in cubic centimeters.

Use 227

for π . 20. _______________


Additional Exercises 8.6 Name: Date: Find each square root.

1. 36 1. _______________

2. 169 2. _______________

3. 9

225 3. _______________

Approximate each square root. Round each square root to the nearest thousandth. 4. 10 4. _______________

5. 50 5. _______________

6. 90 6. _______________

7. 75 7. _______________ Find the unknown length of each right triangle. If necessary, approximate the length to the nearest thousandth. 8. 8. _______________

24 ft

10 ft

?

9. 9. _______________

4 m

9 m

?



6 in.11 in.

? 11. One leg measures 20 cm and the side opposite the right angle measures 24 cm. Find the length of the other leg. 11. _______________ Sketch each right triangle and find the length of the side not given. If necessary, approximate the length to the nearest hundredth. 12. leg = 18, leg = 24 12. _______________ 13. leg = 7, leg = 10 13. _______________ 14. leg = 8, leg = 12 14. _______________ 15. leg = 36, hypotenuse = 39 15. _______________ 16. leg = 5, hypotenuse = 14 16. _______________ 17. leg = 10, hypotenuse = 15 17. _______________ 18. Approximate the length of the diagonal path across the rectangular garden. Round to the nearest hundredth. 18._______________

19. A certain city block is a square with each side measuring 275 feet. Find the length of the diagonal of the block to the nearest tenth of a foot. 19._______________ 20. Approximate the height of the antenna. Round the height to the nearest hundredth. 20._______________


Additional Exercises 8.7 Name: Date: 1. True or False: Congruent triangles are also similar. 1. _______________ 2. True or False: Similar triangles are also congruent triangles. 2. _______________ Determine whether each pair of triangles are congruent. 3. 3. _______________

4 cm

6 cm

8 cm

4 cm

6 cm8 cm

4. 4. _______________

7 in.

70

70

7 in.

70

70

o

oo

o

5. 5. _______________

o30

12 m

10 m

o30

12 m

10 m

6. 6. _______________

o o o

o

45 609 ft

45

60 9 ft

Determine whether each pair of triangles are similar. 7. 7. _______________

27

1821

9

67



16

34 34

4

8.5 8.5

9. 9. _______________

4 10

6

25

15

10

Each pair of triangles is similar. Find n. If necessary, round to the nearest hundredth. 10. 10. _______________

63 5

n

11. 11. _______________

n

27 27

9

6 6

12. 12. _______________

n

246

7



n

1535

40

14. 14. _______________

n

15

21

9

15. 15. _______________

6

n11

4

16. 16. _______________

n

25

32

15

17. An artist is creating a sculpture to place in front of an office building. The 6.25-foot artist needs to know the height of the building. His shadow is 4 feet long at the same time the building's shadow is 72 feet long. Find the height of the building. 17. _______________ 18. A water tower casts a 48-foot shadow at the same time a 5.5 foot person casts a 4-foot shadow. Find the height of the water tower. 18. _______________ 19. A garden is being built in the shape of a right triangle. In the model, the triangular garden has a base of 0.3 meters and a height of 0.5 meters. The real triangular garden can have a base of 24 meters. Find the height of the real garden. 19. _______________ 20. If a 14-meter tree casts an 8-meter shadow, find the length of the shadow cast by a 17.5-meter tree. 20. _______________


Additional Exercises 9.1 Name: Date: The following pictograph shows the number of plastic bottles collected for recycling during a five-week drive. Use the graph to answer questions 1 - 6.

1. During which week were the most bottles collected? 1. _______________ 2. During which week were the fewest bottles collected? 2. _______________ 3. During which week were 120 bottles collected? 3. _______________ 4. How many bottles were collected during week 3? 4. _______________ 5. Approximately how many bottles were collected during week 4? 5. _______________ 6. During which weeks were fewer than 100 bottles collected? 6_______________ The following bar graph shows the heights of five of the tallest buildings in the US. Use the graph to answer questions 7 – 11.


Additional Exercises 9.1 (Cont.) 7. Which building is the tallest? 7. _______________ 8. How tall is the Empire State Building in New York? 8. _______________ 9. Approximately how tall is the Amoco Building in Chicago? 9. _______________ 10. Which building shown is under 1050 feet tall? 10. _______________ 11. How much taller is the Sears Tower than the Empire State Building? 11. _______________ The following list shows the bowling scores for an amateur bowler. Use this list to complete the table below. 140 125 131 159 128 136 112 142 127 138 115 129

Score Interval Tally Frequency

Number of Games 12 110 - 119 13 120 – 129 14 130 - 139 15 140 - 149 16 150 - 159

The following line graph shows Delaware's population according to the last nine U.S. Census counts. Use the graph to answer questions 15 to 20.

17. In which years was the population more than 700,000? 17. _______________ 18. Approximate the population in 1980. 18. _______________ 19. In which year was the population the highest? 19. _______________ 20. During which years did the population increase? 20. _______________

12. _______________ 13. _______________ 14. _______________ 15. _______________ 16. _______________


Additional Exercises 9.2 Name: Date: The following circle graph shows the results of a survey of 300 college students. They were asked where they work while attending college. Use the graph to answer questions 1 to 6.

Where College Students Work

Don't Work 45

On-Campus 125

Hometown 50

Off-Campus 80

1. Where does most of the college students work? 1. _______________ 2. How many students work off-campus or in their hometown? 2. _______________ 3. What is the ratio of students who work in their hometown to the total students surveyed? 3. _______________ 4. What is the ratio of students who work on-campus to the total students surveyed? 4. _______________ 5. What is the ratio of students who do not work to those who work off-campus? 5. ______________ 6. What is the ratio of students who work off-campus to those who work on-campus? 6. _______________ The following circle graph shows a summary of comments from 50 people visiting a restaurant. Use this graph to answer questions 7 to 13.

Categories of Customer's Comments

Prices 10%

Services 40%

Atomsphere 14%

Food 36%


Additional Exercises 9.2 (Cont.) 7. How many customers commented on services? 7. _______________ 8. How many customers commented on the prices? 8. _______________ 9. On what category did customers comment the most? 9. _______________ 10. What percent of the comments were on food and atmosphere? 10. _______________ 11. What percent of the comments were not on the service? 11. _______________ The following circle graph shows 2003 U.S. small car sales by color preference. If there were approximately 2,300,000 small cars sold in the U.S. in 2003, use the graph to answer the following questions.

Red33%

Light Brown18%

Black24%

White25%

12. How many small cars sold were red? 12. _______________ 13. How many small cars sold were light brown? 13. _______________ 14. How many small cars sold were white or black? 14. _______________ 15. What percent of the cars were not black? 15. _______________ The following table shows the percent of children in each age group that have registered for the town football league. Complete the table by finding the degrees of each sector for a circle graph. Age Group Percent of Total Degrees in each Sector

16 Under 8 20%

17 8 - 10 40%

18 11 - 13 25%

19 14 - 16 15%

20. Using the information from 16 – 19, draw a circle graph to represent the age groups of registered football players.

20. ______________

16. _______________ 17. _______________ 18. _______________ 19. _______________


Additional Exercises 9.3 Name: Date: For each of the following sets of numbers, find the mean, the median, and the mode. If necessary, round the mean to one decimal place. 1. 28, 47, 28, 67, 38 1. _______________ 2. 3.6, 2.8, 3.8, 4.0, 3.8, 3.2 2. _______________ 3. 0.4, 0.6, 0.5, 0.6, 0.7, 0.3, 0.5, 0.6, 0.5 3. _______________ Find the grade point average. If necessary, round to the nearest hundredth. 4. 4. _______________

Grade Credit HoursB A C B A

4 3 4 3 2

5. 5. _______________ During an experiment, the following times (in seconds) were recorded: 4.6, 5.9, 5.8, 5.1, 4.6, 5.8, 4.8. 6. Find the mean. Round to the nearest tenth. 6. _______________ 7. Find the median. 7. _______________ 8. Find the mode. 8. _______________ A student scored the following on tests in a history class in one semester: 83, 88, 92, 87, 96, 90. 9. Find the mean. Round to the nearest tenth. 9. _______________

Grade Credit HoursB A B C

3 3 4 4


Additional Exercises 9.3 (Cont.) 10. Find the median. 10. _______________ 11. Find the mode. 11. _______________ A member of the track team got the following times (in seconds) on the l00-meter run during the season: 10.4, 10.8, 10.3, 10.4, 10.1, 10.8, 10.9, 10.8, 11.0, 10.4, 10.3. 12. Find the mean. Round to the nearest hundredth. 12. _______________ 13. Find the median. 13. _______________ 14. Find the mode. 14. _______________ 15. How many times were greater than the mean? 15. _______________ 16. How many times were less than the mean? 16. _______________ A basketball player played in 9 games during the season and scored the following numbers of points: 6, 8, 7, 12, 8, 10, 7, 10, 8. 17. Find the mean. Round to the nearest tenth. 17. _______________ 18. Find the median. 18. _______________ 19. Find the mode. 19. _______________ 20. How many games did the player score above her average? 20. _______________


Additional Exercises 9.4 Name: Date: 1. Draw a tree diagram for the experiment of choosing a vowel a, e, i, o, u, and then a number 1 or 2. 1. _______________ 2. Use your tree diagram to find the number of possible outcomes in the experiment from exercise 1. 2. _______________ 3. Draw a tree diagram for the experiment of choosing a vowel a, e, i, o, u, and then a number 1, 2, 3 or 4. 3. _______________ 4. Use your tree diagram to find the number of possible outcomes in the experiment from exercise 3. 4. _______________ 5. Draw a tree diagram for the experiment of choosing a flower: rose, daisy, iris or violet; and then a tree: elm, oak, or fir. 5. _______________ 6. Use your tree diagram to find the number of possible outcomes in the experiment from exercise 5. 6. _______________ Suppose a single marble is chosen from a bag with 8 red, 5 yellow, 4 blue and 3 green marbles. 7. What is the probability a green marble is chosen? 7. _______________ 8. What is the probability a yellow marble is chosen? 8. _______________ 9. What is the probability a red marble is chosen? 9. _______________ 10. What is the probability a blue marble is chosen? 10. _______________ Suppose the spinner shown is spun once. Find the probability of each event.

11. The result of the spin is 5. 11. _______________ 12. The result of the spin is 3. 12. _______________ 13. The result of the spin is an even number. 13. _______________ 14. The result of the spin is a number less than 3. 14. _______________ 15. The result of the spin is a number greater than 2. 15. _______________


Additional Exercises 9.4 (Cont.) Suppose that the numbers 1 to10 are each written on a scrap of paper and placed in a bag. Then, one number is selected from the bag. Find the probability of each event. 16. The number chosen is a 7. 16. _______________ 17. The number chosen is a 3 or 4. 17. _______________ 18. The number chosen is an odd number. 18. _______________ 19. The number chosen is greater than 4. 19. _______________ 20. The number chosen is less than 4. 20. _______________


Additional Exercises 10.1 Name: Date: 1. A deep-sea diver is 750 feet below the surface of the ocean. Represent this position using a signed number. 1. _______________ 2. A company reports a loss of $1.75 million for last year. Represent this amount using a signed number. 2. _______________ Graph the signed number in each list on a number line. 3. 4, -2.5, 1.7 3. _______________

4. 5, 3 14

, -1 12

, 0 4. _______________

Insert < or > between each pair of numbers to make a true statement. 5. 32 ___ -16 5. _______________ 6. -0.3___ -1.6 6. _______________

7. 34

− ___ 0 7. _______________

Find each absolute value. 8. |-9.2| 8. _______________ 9. |150| 9. _______________

10. 58

− 10. _______________

Find the opposite of each number.

11. 67

− 11. _______________

12. 24.9 12. _______________ 13. -3 13. _______________ Simplify. 14. | -5 | 14. _______________


Additional Exercises 10.1 (Cont.) Simplify 15. - | 40 | 15. _______________ 16. - |-7| 16. _______________ The bar graph shows the record low temperatures. Use the graph for exercises 17 – 20.

Record Low Temperatures

-20

-15

-10

-5

0

5

10

15

20

25

30

35

Jan Feb Mar Apr May Jun

17. Which month had the coldest recorded temperature? 17. _______________ 18. Which month shown had the second coldest recorded temperature? 18. _______________ 19. Which month shown had the highest recorded temperature? 19. _______________ 20. Which month has a positive recorded temperature closest to zero? 20. _______________

0


Additional Exercises 10.2 Name: Date: Add. 1. 24 + 9 1. _______________ 2. 16 + 32 2. _______________ 3. 7 + (-11) 3. _______________ 4. 3 + (-9) 4. _______________ 5. -1 + (-12) 5. _______________ 6. -27 + 37 6. _______________ 7. -11 + 11 7. _______________ 8. 20 + (-3) 8. _______________ 9. -1000 + (-500) 9. _______________

10. 16 + (-6) 10. _______________ 11. 37 + (-89) 11. _______________ 12. -7 + 9 12. _______________

13. 8 + ( -17) 13. _______________ 14. 26 + (-26) 14. _______________

15. ( )5 18 4

− + − 15. _______________

16. 3.6 + (-14.2) 16. _______________ 17. -7 + 5 + (-2) 17. _______________ 18. 20 + ( -11) + 4 + ( -7) 18. _______________ 19. Find the sum of 5, -29, and -23 19. _______________


23

and 1

55

− 20. _______________


Additional Exercises 10.3 Name: Date: Subtract. 1. -7 - (-7) 1. _______________ 2. 5 - 1 2. _______________ 3. 14 - 6 3. _______________ 4. –12 - 4 4. _______________ 5. 3 - 15 5. _______________ 6. 8 - (- 8) 6. _______________ 7. 7 - 21 7. _______________ 8. -100 - 37 8. _______________ 9. 4.2 - 5.5 9. _______________ 10. 12.99 - (-0.12) 10. _______________

11. ( )5 213 13

− − − 11. _______________

12. ( )1 19 4

− − − 12. _______________

13. Subtract 7 from -30. 13. _______________ 14. Find the difference of -12 and -9. 14. _______________ Simplify. 15. 11 - 7 - 3 15. _______________ 16. -8 - 5 - (-14) 16. _______________ 17. -12 + (-7) - 4 17. _______________ 18. 21 - (-15) + (-8) 18. _______________


Additional Exercises 10.3 (Cont.) 19. On December 21, the average high temperature was -4° F. On June 21, the average high temperature was 72° F. How many degrees warmer was the temperature in June than in December? 19. _______________ 20. Winta has $27 in her checking account. She makes a deposit of $330 and writes two checks for $19 and $110. Find the amount left in her account. 20. _______________


Additional Exercises 10.4 Name: Date: Multiply. 1. -3 (-5) 1. _______________ 2. -2 (-9) 2. _______________ 3. 0(-20) 3. _______________ 4. (0.2)(6.5) 4. _______________

5. ( )4 35 7

− 5. _______________

6. 6(-5)(-8) 6. _______________ 7. 2(-2)(3)(-1) 7. _______________ Evaluate. 8. (-5)3 8. _______________ 9. (-2)5 9. _______________ 10. (-4)2 10. _______________ Multiply. 11. (-1) ×(-1) × (-1) × (1) 11. _______________ 12. -2(7)(-4.1) 12. _______________

13. 13

7 3− × 13. _______________

Divide. 14. -28 ÷ 7 14. _______________

15. 440− 15. _______________

16. 217− 16. _______________



17. Find the product of 2

7− and

3

2 17. _______________

18. Find the quotient of –320 and 0.5. 18. _______________ 19. Craig Lewis lost $250 on each of three consecutive days at the horse races. Represent this loss as a product of signed numbers and find his total loss. 19. _______________ 20. A company declared a loss of $450,000 a month for each of five consecutive months. Represent this loss as a product of signed numbers and find this companies total loss. 20. _______________


Additional Exercises 10.5 Name: Date: Simplify. 1. 4 + (-10) + 5 1. _______________ 2. 9 + 2(5) 2. _______________ 3. (-14) + 8 ÷ 4 3. _______________ 4. 32 ÷ (-4) + 8 4. _______________

5. 702 8− − 5. _______________

6. 3(-8) - (-4) 6. _______________ 7. [4 + (-7)]2 7. _______________ 8. 24 - 27 8. _______________ 9. (3 -15) ÷ 4 9. _______________

10. ( ) ( ) 224 12 3 1⎡ ⎤− ÷ − −⎣ ⎦ 10. _______________

11. (-26) - 12(3) 11. _______________ 12. ( )2 8 3 6− × − ÷ 12. _______________

13. 4 – 6 × 9 - 7 13. _______________ 14. 4(7 - 4) + (-2)3 - 6 14. _______________ 15. ( ) ( )3 3 9 9− ÷ − ÷ 15. _______________

16. (0.3 - 2.4)(0.9 - 1.7) 16. _______________

17. ( ) ( )2 32 13 2

− 17. _______________

18. 10 - [8 - (2 - 7)] + (2 - 3) 18. _______________

19. ( 6)( 2) (7)(2)2[12 (5 17)]− − −

÷ − 19. _______________

20. (1.4)2 - (2.2)2 20. _______________


Additional Exercises 11.1 Name: Date: Evaluate each expression when x = -3, y = 4, and z = -5. 1. 8 + x 1. _______________ 2. x - z 2. _______________ 3. 2y + z - x 3. _______________ 4. 4 - (y - z) 4. _______________

5. 60 402z y

− 5. _______________

6. How much edging material is needed for a rectangular garden that measures 12 feet by 15 feet? Use P = 2l + 2w. 6. _______________ 7. How much interest will $4000 in a passbook savings account earn in 2 years at a rate of 5% simple interest? Use I = prt. 7. _______________ 8. Change Duluth, Minnesota's normal low January temperature of -2° F

to Celsius. Use C = 59

(F - 32). Round to the nearest tenth. 8. _______________

9. How much room does the bed of a 4 by 4 truck have if it is 4 feet long, 4 feet wide, and 1.5 feet deep? Use V = lwh. 9. _______________ Simplify each expression by combining like terms. 10. 9x + 5x 10. _______________ 11. 7y - 12y 11. _______________ 12. 6b - l0b - 3b 12. _______________ 13. 5a + 2a - 9a + 16 13. _______________ Multiply. 14. 6(x - 9) 14. _______________ 15. -7(2y - 4) 15. _______________


Additional Exercises 11.1 (Cont.) Simplify each expression. Use the distributive property to remove parentheses first. 16. 3(x + 8) - 25 16. _______________ 17. 0.5z + 0.3(6 + z) 17. _______________

18. ( )18 10 3

2x x− + 18. _______________

19. -8 + 4(2n - 3) + 5n 19. _______________ 20. -4(5w - 1) + 10w 20. _______________


Additional Exercises 11.2 Name: Date: Decide whether the given number is a solution to the given equation. 1. Is 8 a solution to x - 5 = 3? 1. _______________ 2. Is -3 a solution to x + 4 = 7? 2. _______________ 3. Is 5 a solution to 4n = 30 - n? 3. _______________ 4. Is - 2 a solution to 9y + 4 - 6y = -1 + 11? 4. _______________ 5. Is 4 a solution to 5(b - 6) = -10? 5. _______________ Solve. Check each solution. 6. a + 7 = 15 6. _______________ 7. x - 4 = -9 7. _______________ 8. y + 12 = 2 8. _______________ 9. 8 = z + 3 9. _______________

10. x + 34

= 114

10. _______________

11. y - 23

= - 19

11. _______________

12. x - 11 = -5 + 1 12. _______________ 13. y - 4 = 2 - 9 13. _______________ 14. -15 + 11 = n - 13 14. _______________ 15. 3 – 20 = x + 4 15. _______________ 16. y + 3.4 = -5.7 - 2.6 16. _______________ 17. x + 7.4 = -6.5 + 1.9 17. _______________ 18. -5x + 9 + 6x = -10 + 1 18. _______________

19. 12x + 7 - 11x = -6 + (-4) 19. _______________ 20. -14x + 15x + l0 = 8 - 1 20. _______________



1. Find the reciprocal of 3

8 1. _______________

Solve. 2. 9x = -54 2. _______________ 3. -5x = 40 3. _______________ 4. 0.6 x = -12 4. _______________ 5. -0.7z = -21 5. _______________

6. 34

x = 12 6. _______________

7. 17

y = -4 7. _______________

8. 35

z = 925

8. _______________

9. - 211

x = 1633

9. _______________

10. 49

t = - 98

10. _______________

11. 23

y− = 19

− 11. _______________

First, combine any like terms on each side of the equations. Then, solve. 12. 6x + x = 42 12. _______________ 13. 15 =10t - 7t 13. _______________ 14. 5 - 21 = -4z 14. _______________ 15. -5x - 5x = 63 - 3 15. _______________ 16. -8y = 2.1 + 0.3 16. _______________


Additional Exercises 11.3 (Cont.) 17. 8n -17n = -l8 -18 17. _______________ 18. 35x -32x = 7 - 10 18. _______________ 19. -64 + 34 = -4y + 19y 19. _______________

20. 2 5

46 ( 3)3 3

a a− − = − − 20. _______________


Additional Exercises 11.4 Name: Date: Solve each equation. 1. 4x - 20 = 0 1. _______________ 2. 7n + 9 = 37 2. _______________ 3. -8 = 5y + 27 3. _______________

4. l -n = 12 4. _______________

5. _ 47

x + 17 = -11 5. _______________

6. 1.6 = 2y + 5.8 6. _______________ 7. 9x - 8 = 6x - 26 7. _______________ 8. 4x - 7 = 10x + 17 8. _______________ 9. 12y + 11 = 4y + 3 9. _______________ 10. 6 - 8m = -3m + 26 10. _______________

11. 35

x - 5 = 45

x - 2 11. _______________

12. -2.8x - 9 = -2.4x + 3 12. _______________

13. 2(x - 5) = 4 13. _______________ 14. -3(y + 2) = 9 14. _______________ 15. 4t - 3 = 5(t + 4) 15. _______________ 16. 8(4 + c) = 7(c -5) 16. _______________


Additional Exercises 11.4 (Cont.) Write each sentence as an equation. 17. The sum of -38 and 17 is -21. 17. _______________ 18. Twice the difference of 8 and 18 yields -20. 18. _______________ 19. The product of -3 and the sum of 4 and 7 is -33. 19. _______________ 20. The quotient of 120 and twice -30 is -2. 20. _______________


Additional Exercises 11.5 Name: Date: Write each phrase as a variable expression. Use x to represent "a number." 1. The sum of a number and eleven 1. _______________ 2. The difference of a number and forty-two 2. _______________ 3. The product of eight and a number 3. _______________ 4. The quotient of twelve and a number 4. _______________ 5. Twenty decreased by seven times a number 5. _______________ 6. The sum of nine and a number added to the product of six and the number 6. _______________ 7. The quotient of three and a number, decreased by one. 7. _______________ 8. The quotient of a number plus two and 5 times the same number 8. _______________ Write each sentence as an equation. Use x to represent "a number." Do not solve. 9. A number added to 6 is -12. 9. _______________ 10. Four subtracted from a number equals 9. 10. _______________ 11. The quotient of 7 and a number is -3. 11. _______________ Translate each sentence to an equation. Solve the resulting equation. 12. Five added to twice a number gives -9. 12. _______________ 13. A number less 10 is 31. Find the number. 13. _______________ 14. Six times a number added to 8 is -16. Find the number. 14. _______________ 15. The sum of 5, 7, and a number amounts to 4. Find the number. 15. _______________ 16. Twice the difference of a number and 3 is equal to the quotient of 48 and 4. Find the number. 16. _______________ 17. The product of 5 and a number is the same as 3 times the number minus 28. Find the number. 17. _______________


Additional Exercises 11.5 (Cont.) 18. A bicyclist is traveling twice as fast as someone walking. If their combined speed is 30 miles per hour, find the speed of the bicyclist and find the speed of the person walking. 18. _______________ 19. During the Student Government Association elections, one candidate received 500 more votes for President than the other candidate. If the total votes cast for the two candidates were 2500, find how many votes each candidate received. 19. _______________ 20. A washing machine with installation costs $320. If the washing machine costs 7 times as much as the installation, find the cost of each. 20. _______________


ADDITIONAL EXERCISES ANSWERS

Chapter 1 Additional Exercises 1.2 1. hundreds 11. seventeen million, eight hundred sixty-

four thousand 2. ten thousands 12. five million, one hundred fifty-nine

thousand, seven hundred ninety-two 3. thousands 13. 9,420 4. ten million 14. 79,007 5. four thousand, six hundred eighteen 15. 80,311 6. fifty thousand, one hundred nine 16. 204,536 7. one hundred ninety thousand, twenty-five 17. 4,000,056 8. seventy-two thousand, three hundred 18. 15,324,009 9. two million, eight hundred forty thousand, seven

19. 204,482,591

10. thirty-six million, five hundred ninety thousand, twelve

20. 69,133,189

Additional Exercises 1.3 1. 73 6. 110 11. 1435 16. 56 yd. 2. 97 7. 54 12. 11,174 17. 266 ft. 3. 76,728 8. 198 13. 1,041,149 18. 663 4. 88 9. 186 14. 31 ft. 19. 1801 5. 154 10. 2004 15. 72 in. 20. 297,675 Additional Exercises 1.4 1. 27 6. 4525 11. Hawaii 16. 100 2. 89 7. 0 12. 3 17. 297 3. 19 8. 75 13. 7 18. 384 4. 87 9. 17,500 14. 70 19. $634 5. 693 10. 30,630 15. 10,800 20. 1820

Additional Exercises 1.5 1. 480 6. 265,000 11. 53,000 16. 222 2. 3200 7. 79,000,000 12. 249,000,000 17. No 3. 68,000 8. 8260, 8300, 8000 13. 1500 18. Yes 4. 149,000 9. 6670, 6700, 7000 14. 562 19. $700 5. 54,300 10. 94,570, 94,600

95,000 15. 6280 20. 100


Additional Exercises 1.6 1. 6 · 7 + 6 · 5 6. 8448 11. 0 16. 209 ft2 2. 11 · 15 + 11 · 4 7. 31, 400 12. 8600 17. 1380 3. 378 8. 18,942 13. 3900 18. 108 4. 1465 9. 13,280 14. 86,240 19. 289,948 5. 5424 10. 21,300 15. 1,017,659 20. 190,376 Additional Exercises 1.7 1. 45 6. 68 r 5 11. 176 16. 8 2. 73 7. 132 r 3 12. 35 17. 25 3. 182 8. undefined 13. 82 r 110 18. 155 4. 347 9. 183 14. 15 19. 16 5. 78 10. 199 r 35 15. 112 20. 43 Additional Exercises 1.8 1. 45 6. 56 11. $32,700 16. $108,000,000 2. 35 7. 550 12. 744 17. $96 3. 138 8. 8 13. 1066 18. $507 4. 63 9. 12,600 ft2 14. 18 19. $33 5. 726 10. $14,287 15. $281 20. sweatpants/

sweatshirt; $3 Additional Exercises 1.9 1. 57 6. 1 11. 14 16. 8 2. 144 7. 125 12. 324 cm2 17. 2 3. 2 · 34 · 72 8. 1,000,000 13. 676 ft2 18. 12 4. 49 9. 8043 14. 8 19. 46 5. 9 10. 20 15. 45 20. yes

Chapter 2 Additional Exercises 2.1 1. 3/5 6. 7/4 or 1 ¾ 11. 47/15 16. 7 2. 5/8 7. 17/525 12. 119/6 17. 3 3. ¾ 8. 37/8 13. 55/12 18. 7 4. 7/2 or 3 1/2 9. 12/5 14. 6 5/8 19. 6 6/13 5. 17/6 or 2 5/6 10. 35/4 15. 11 3/7 20. 24 2/3 Additional Exercises 2.2 1. 1,2,4,7,14,28 6. 1,3,47,141 11. prime 16. 22 · 72

2. 1,2,5,10 7. prime 12. composite 17. prime 3. 1,2,3,6,13,26,39,78 8. prime 13. 2 · 5 · 7 18. 28 4. 1,7,11,77 9. composite 14. 2 · 5 · 13 19. 2· 32 · 72 5. 1,47 10. composite 15. 5 · 11 20. 2 · 3 · 52 · 7


Additional Exercises 2.3 1. 1/3 6. 5/12 11. yes 16. yes 2. 4/9 7. 4/13 12. yes 17. yes 3. 8/9 8. 2/5 13. yes 28. 2/5 4. 1/7 9. 17/31 14. no 19. ¼ 5. 2/3 10. no 15. yes 20. 3/4 Additional Exercises 2.4 1. 5/24 6. 7/10 11. 25/2 or 12 ½ 16. 38 2. 7/6 or 1 1/6 7. 42/11 or 3 9/11 12. 156/5 or 31 1/5 17. $375 3. 1 8. 15/70 13. 174/5 or 34 4/5 18. 12 1/3 in. 4. 15/119 9. 21/2 or 10 ½ 14. 13/25 19. 1/10 m 5. 2/3 10. 13/3 or 4 1/3 15. 8 20. 11 ½ in Additional Exercises 2.5 1. 5/12 6. 3/5 11. 8/15 16. 1 1/4 2. 1/19 7. 2 2/3 12. 13/55 17. 2 6/7 3. ½ 8. 1/3 13. 11 18. 6 1/4 4. 8 9. 6 2/5 14. 4 2/7 19. 1 7/9 ml 5. 5/8 10. 2 15. undefined 20. 621

Chapter 3 Additional Exercises 3.1 1. 5/8 6. 10/11 11. 5/7 16. 1/5 2. 5/7 7. 6/13 12. 5 17. 1 cup 3. 1 8. 9/17 13. 1 18. 10 2/5 ft. 4. 7/20 9. 14/19 14. 3/8 19. ¼ 5. 2/5 10. 1/3 15. 16/55 20. 28 ft. Additional Exercises 3.2 1. 162 6. 363 11. 18 16. 49 2. 21 7. 60 12. 72 17. 55 3. 63 8. 8820 13. 6 18. 22 4. 110 9. 1575 14. 36 19. 12 5. 140 10. 2940 15. 30 20. 84 Additional Exercises 3.3 1. 7/10 6. 31/56 11. 1/9 16. 1/3 2. 16/21 7. 1 11/36 12. 7/40 17. 24 1/6 ft. 3. 25/63 8. 8/9 13. 29/63 18. 1 1/8 4. 1 9/56 9. 5/12 14. 1/4 19. 1 27/40 liter 5. 11/25 10. 2/15 15. 46/175 20. 1/12


Additional Exercises 3.4 1. 3 6. 13 19/28 11. 12 13/19 16. 4 17/44 2. 6 5/9 7. 16 19/24 12. 3 19/30 17. 1 7/24 3. 13 17/42 8. 12 17/42 13. 9 ¼ 18. 11 9/20 4. 9 7/10 9. 16 4/15 14. 3 ¼ 19. 3 19/40 hrs. 5. 26 41/48 10. 1 2/17 15. 7 1/26 20. 3 7/8 ft. Additional Exercises 3.5 1. < 6. ¼ 11. 1 1/9 16. 5/16 2. > 7. 9/25 12. 7/12 17. 9/20 3. < 8. 125/343 13. 24/49 18. 4/9 4. > 9. 1/625 14. 23/88 19. 4/21 5. > 10. 1/250 15. 8/9 20. 3/4 Additional Exercises 3.6 1. 36 6. 123 cm. 11. 5/6 16. 38 7/16 2. 18 miles/gallon 7. 33 12. 9/16 17. 3 1/3 3. 4 9/10 8. 18 ¼ 13. 4/7 18. 6 ¼ 4. 1 17/18 9. 6 ½ 14. 7 7/9 19. 0 5. 56 years 10. 1/4 15. 1 20. 1

Chapter 4 Additional Exercises 4.1 1. four and seventy-three hundredths 11. 13.09 2. ten and six tenths 12. 4/5 3. two hundred thirty-eight thousandths 13. 1053/10,000 4. two hundred fifty-six and ninety-one thousandths

14. 11 8/127

5. seven hundred thirteen thousandths 15. 4 7/10 6. 15.07 16. 51 11/20 7. 407.8 17. 0.8 8. 9.802 18. 4.3 9. 0.0061 19. 0.781 10. 12.032 20. 2.5 Additional Exercises 4.2 1. > 6. < 11. 2.08 16. $438 2. < 7. 0.8 12. 71.308 17. $16,844 3. = 8. 0.82 13. 185.017 18. $1.59 4. < 9. 4.915 14. 0.06 19. $27.60 5. > 10. 68.6 15. 0.33 20. $0.21 Additional Exercises 4.3 1. 237.8 6. 83.171 11. 674.7 16. $187.09; $190 2. 40.83 7. 64.434 12. 442.75 17. $2.04; $2.20 3. 0.047 8. 5.3 13. 56.5 18. 272.4; 260 4. 456.906 9. 40.2 14. 27.4 19. $11.21; $10 5. 223.453 10. 1.44 15. 37.1 20. 36; 40


Additional Exercises 4.4 1. 1.244 6. 4.23822 11. 501.3 16. 3.75 g 2. 0.24 7. 2.898 12. 0.0079 17. 17π, 53.38 in 3. 0.34 8. 154.48626 13. 0.0003 18. 4.6π, 14.444 km 4. 14.84 9. 68 14. 42,500 19. 3.8π, 11.932 m 5. 28.743 10. 240 15. 2,598,000 20. 62.2046 in Additional Exercises 4.5 1. 0.06 6. 33.3 11. 0.000076 16. 1230 2. 12.4 7. 0.0012 12. 2.52 17. 256.88 3. 35 8. 6000 13. 40 18. 75 in. 4. 3.9 9. 5.1 14. 15.06 19. 48 5. 0.23 10. 72 15. 0.7569 20. 18 points/game Additional Exercises 4.6 1. 0.5 6. 1.44 11. 0.29 16. < 2. 0.16 7. 0.73 12. 0.57 17. 0.8112, 0.812,

0.821 3. 0.625 8. 2.69 13. > 18. 1.416, 17/12,

22/15 4. 0.29 9. 3.93 14. > 19. 38.13 5. 0.44 10. 0.29 15. < 20. 12.18

Chapter 5 Additional Exercises 5.1 1. 9/13 6. 5/6 11. 1/2 16. 35/77 2. 12/7 7. 9/2 12. 2/3 17. 5/6

3.

11

21

63

8. 32/5

13. 3/10

18. 2/5

4. 4/7 9. 2/3 14. 6/7 19. ¾ 5. 2/3 10. 13/14 15. 7/13 20. 7/3 Additional Exercises 5.2 1. $8000/3 acres 6. 5 pages/2 min 11. 17 windows/house 16.18 students/teacher 2. 5 child./2 families 7. 42 cal/oz 12. 6 tons/hr 17. 29 miles/gal 3. 3 in. /10 days 8. $175,000/yr. 13. $0.26/issue 18. $25.95 for 1200ft2 4. 20 mi./3 mins. 9. 140 gal/hr 14. $0.75/dozen 19. $2.79 for 8 feet 5.1000books/3shelves 10. 0.25 miles/min 15. 66 boxes/hr. 20. $19.95 for 50 lb.


Additional Exercises 5.3 1. 2 6. False 11. 3 16. 900 2. 2/3 = 6/9 7. False 12. 12 17. 5/9 3. 1.5/5 = 0.3/1 8. True 13. 125 18, 4 4. ½ / 30 = 2/120 9. False 14. 24 19. 0.9 5. True 10. True 15. 1/4 20. 0.12 Additional Exercises 5.4 1. 162.5 miles 6. 25 dos 11. 15 16. 7 ants 2. 32 gal. 7. 10 ft. 12. 35 17. 21,700 3. 63 lbs. 8. 4 in. 13. 243 gal. 18. 4 1/6 cups 4. 115 lbs 9. $840 14. 5 gal. 19. ¼ cup 5. 2,160 ft 10. $131.25 15. 8.75 20. 3 1/3 flour; 2 c.

sugar.

Chapter 6 Additional Exercises 6.1 1. 55% 6. 0.02 11. 1.5 16. 87.5% 2. 42% 7. 0.013 12. 3.6 17. 0.7% 3. 100 8. 0.105 13. 27% 18. 120% 4. 0.01 9. 0.008 14. 580% 19. 320% 5. 0.52 10. 1.0 15. 2.4% 20. 700% Additional Exercises 6.2 1. 1/100 6. 3/200 11. 48 4/7% 16. 300% 2. 100% 7. 51/500 12. 12 ½% 17. 214 2/7% 3. 4/25 8. 1 1/5 13. 333 1/3% 18. 36 4/11% 4. 2/5 9. 3 ½ 14. 180% 19. 1/20 5. 1/20 10. 2 1/10 15. 370% 20. 0.05125 Additional Exercises 6.3 1. (a) 16, (b) 64, (c) 25% 8. 40 = 80% · x 15. 5.5% 2. 16% · 58 = x 9. 2.6 = 13% · x 16. 300% 3. x = 40% · 12 10. 48 = x · 40 17. 84% 4. 75% · x = 7 11. 75% 18. 32.5 5. x · 70 = 30 12. 0.5 19. 620 6. x = 45% · 900 13. 210 20. 14.637 7. 38% · 60 = x 14. 10,500


Additional Exercises 6.4 1. a) 12.6, b) 30, c) 42

6. 15

100 5

x = 11. 140 16. 500

2. 12

100 15

x= 7. 20

100 44

x= 12. 46% 17. 25.3

3. 30 70

100 x= 8.

85

100 300

x= 13. 1.2 18. 120

4. 1.4

100 7

x = 9. 25 40

100 x=

14. 70 19. 150

5. 4.6

100 23

x = 10. 60 90

100 x=

15. 5% 20. 20

Additional Exercises 6.5 1. 600 6. 40% 11. $3057.60 16. 40% 2. 11,400 7. 12.5% 12. $19.50 17. 30; 105 3. 15% 8. 25% 13. 412; 36.8% 18. 50% 4. 151,250 9. 4.3% 14. 2428.57 mg 19. $10.14; $74.36 5. $63,000 10. 34.6% 15. 68.4% 20. 168

Additional Exercises 6.6 1. $24.50 6. 4.8% 11. 4.5% 16. $108; $972 2. $15 7. 6% 12. $1780 17. $299.70; $699.303. $639 8. $4.41; $57.90 13. 0.5% 18. $1000; $1000 4. $38,325 9. $4120 14. $3; $12 19. $14; $42 5. $126.60 10. $95.76 15. $50.40; $369.60 20. $17; $68 Additional Exercises 6.7 1. $108 6. $20 11. $7661.40 16. $17,070.41 2. $2700 7. $10,080 12. $17,011.50 17. $483.67 3. $640 8. $2818.75 13. $1342.53 18. $211.56 4. $28 9. $1112.50 14. $17,230.47 19. $242.99 5. $45 10. $522.50 15. $7538.16 20. $258.04

Chapter 7 Additional Exercises 7.1 1.1 yd/36 in;36in/1yd. 6. 69 in. 11. 7.5 miles 16. 510 cm 2. 11.25 ft 7. 24 yd. 1 ft. 12. 1m/100cm;

100cm/1m 17. 8.17 km

3. 14.78 ft. 8. 1 ft. 8 in. 13. 0.65 km 18. 58.2 m 4. 4 2/3 yd 9. 3 yd. 2 ft. 14. 0.407 dm 19. 3.9 kg 5. 9 ft. 7 in 10. 21 ft. 9 in 15. 80 mm 20. 16 bows


Additional Exercises 7.2 1. 2000 lb/1 ton; 1 ton/2000 lb

6. 44 lb 3 oz 11. 1 g/100cg; 100 cg/1 g

16. 7.442 g

2. 2 3/8 lb 7. 5 tons 425 lb 12. 0.79 kg 17. 1688 g 3. 11,400 lb. 8. 17 lb 13 oz 13. 5100 mg. 18. 37.24 kg 4. 124 oz 9. 1 ton 400 lb 14. 0.67 g 19. 0.905 mg 5. 2.7 lb 10. 5 tons 1100 lb 15. 9300 g 20. 39 g Additional Exercises 7.3 1. 4 c/1 qt.; 1qt/4c 6. 11 gal 1 qt 11. 100cl/1L;

1L/100cl 16. 9.2L

2. 6 ½ cups 7. 1 pt 12. 7700 ml 17. 5200L 3. 5 ½ qts 8. 4 ½ qt 13. 0.0037 kl 18. 3240 ml or 3.24L 4. 64 fl oz 9. 3 gal 3 qt 14. 0.240L 19. 11.566L 5. 2 gal 10. 24 cars 15. 590L 20. 1640 ml or 1.64L Additional Exercises 7.4 1. 3.28 ft/1m or 0.3m/1 ft

6. 152.4 cm 11. 2424.74 mL 16. 17.94L

2. 0.26 gal/1L or 3.79L/1 gal

7. 76.2 cm 12. 59.4 lb 17. yes

3. 2.20lb/1kg; 0.45 kg/1lb

8. 10.4 gal 13. 0.52 g 18. 874.75 km

4. 3.1m 9. 16.15L 14. 113.52 kg 19. 100 km/hr 5. 156.96 in 10. 38.16 qt. 15. 2.4 oz 20. 0.68 fl. oz Additional Exercises 7.5 1. 6.7°°C 6. 22.8°C 11. 50°F 16. 105.8°F 2. 42.2°C 7. 35°C 12. 41°F 17. 71.6°F 3. 1.1°C 8. 51.1°C 13. 77°F 18. 143.6°F 4. 14.4°C 9. 30°C 14. 89.6°F 19. 374°F 5. 18.3°C 10. 122°F 15. 114.8°F 20. 51.7°C Additional Exercises 7.6 1. 1;1 6. 778 11. 14,004,000 16. 1; 1 2. 1920 ft-lb 7. 19,450 ft-lb 12. 19,450,000 17. 4.5 hrs. 3. 9715 ft-lb 8. 272,300 ft-lb 13. 9,336,000 18. 1625 4. 65,000ft-lb 9. 9,725,000 14. 8997 BTU 19. 12.5 hrs. 5. 3000 ft-lb 10. 21,784,000 15. 1221 20. 14 hrs. Additional Exercises 8.1 1. ray 6. 90° 11. 82° 16. 49° 2. angle 7. obtuse 12. 14°

17. & ,

&

DBE EBF

ABD FBC

∠ ∠∠ ∠

3. segment 8. acute 13. 27° 18.

&

&

VZX XZY

VZW WZY

∠ ∠∠ ∠

4. 81° 9. right 14. 141° 19. 59°, 122°, 58° 5. 105° 10. straight 15. 38° 20. 85°, 85°, 95°


Additional Exercises 8.2 1. isosceles 6. polygon 11. False 16. sphere 2. scalene 7. hypotenuse 12. True 17. 19.2 cm 3. equilateral 8. diameter 13. hexagon 18. 12.5 miles 4. 30° 9. True 14. octagon 19. cylinder 5. 26° 10. False 15. pyramid 20. cone Additional Exercises 8.3 1. 25 m 6. 724 ft 11. 70 m 16. 23π; 72.22 2. 36 ft 7. 20 in 12. 94 mm 17. 25π; 78.5 3. 30 in 8. $134.75 13. 54 in 18. 58π; 182.12 4. 15 km 9. 21 cm 14. $108 19. 4 5. 52 ft 10. 40 cm 15. 38π; 119.32 ft 20. 94.2 in Additional Exercises 8.4 1. square 6. 361 π ft2

1133.54 ft2 11. 74 in2 16. 1176ft2

2. 144 in2 7. 156.25 π m2 490.625 m2

12. 117 ft2 17. 1776 ft2

3. 31.5 m2 8. 20 ft2 13. 75 cm2 18. 2122.64 in2 4. 54 ft2 9. 14 in2 14. 84 m2 19. 270 cm2 5. 841π m2 2640.74m2

10. 126 in2 15. 22.5625π 70.84625

20. 6 2/3 yd2

Additional Exercises 8.5 1. cubic 6. 75.36 cm3 11. 1436.03 m3 16. 462 m3

2. 13.440 mm3 7. 1004.8 m2 12. 8.5 m3 17. 38,772.72 in3 3. 24 in3 8. 100.48 in3 13. 15.63 ft3 18. 100.57 m3 4. 91.125 ft3 9. 65.94 ft3 14. 150 in3 19. 221,880 cm3 5. 33,750 m3 10. 2143.57 cm3 15. 35.36 cm3 20. 113.14 cm3 Additional Exercises 8.6 1. 6 6. 9.487 11. 13.266 16. 13.077 2. 13 7. 8.66 12. 30 17. 11.180 3. 1/5 8. 26 ft. 13. 12.207 18. 8.062 4. 3/162 9. 7.211 m 14. 14.422 19. 388.9 ft 5. 7.071 10. 9.22 in 15. 15 20. 145.66 ft Additional Exercises 8.7 1. True 6. yes 11. 2 16. 19.2 2. False 7. yes 12. 28 17. 112.5 ft 3. yes 8. yes 13. 93.33 18. 66 ft 4. yes 9. yes 14. 6.49 19. 40 m 5. no 10. 10 15. 16.5 20. 10 m


Chapter 9 Additional Exercises 9.1 1. 2 6. 3, 4, 5 11. 200 ft 16. 1 2. 5 7. Sears Tower 12. 2 17. 1950, 1960, 1970 3. 1 8. 1250 ft. 13. 4 18. 650 4. 60 9. 1150 ft 14. 3 19. 1950 5. 90 10. Nations Bank 15. 2 20. 1930, 1940, 1950 Additional Exercises 9.2 1. off campus 6. 16/25 11. 60% 16. 72º 2. 130 7. 20 12. 759,000 17. 144º 3. 1/6 8. 5 13. 414,000 18. 90º 4. 5/12 9. services 14. 1,127,000 19. 54º 5. 9/16 10. 50% 15. 76% 20. 90º

144º 54º 72º

Additional Exercises 9.3 1. 41.6, 38, 28 6. 5.2 11. no mode 16. 6 2. 3.5, 3.7, 3.8 7. 5.1 12. 10.56 17. 8.4 3. 0.5, 0.5, 0.5&0.6 8. 5.8 13. 10.4 18. 8 4. 3.06 9. 89.3 14. 10.4, 10.8 19. 8 5. 2.93 10. 89 15. 5 20. 3 Additional Exercises 9.4 1. answers may vary 6. 12 11. 1/8 16. 1/10 2. 10 7. 3/20 12. 1/8 17. 1/5 3. answers may vary 8. ¼ 13. 1/2 18. ½ 4. 20 9. 2/5 14. ¼ 19. 3/5 5. answers may vary 10. 1/5 15. 3/4 20. 3/10 Chapter 10 Additional Exercises 10.1 1. -750 6. > 11. 6/7 16. –7 2. -$1,750,000 7. < 12. –24.9 17. February 3. -2 0 1.7 4

8. 9.2 13. 3 18. January

4. -1½ 0 3¼ 5

9. 150 14. 5 19. June

5. > 10. 5/8 15. -40 20. April


Additional Exercises 10.2 1. 33 6. 10 11. –52 16. 10.6 2. 48 7. 0 12. 2 17. –4 3. –4 8. 17 13. –9 18. 6 4. –6 9. –1500 14. 0 19. –47 5. –13 10. 10 15. –7/8 20. –2 13/15 Additional Exercises 10.3 1. 0 6. 16 11. –3/13 16. 1 2. 4 7. –14 12. 5/36 17. –23 3. 8 8. –137 13. –37 18. 28 4. –16 9. –1.3 14. –3 19. 76º 5. –12 10. 13.11 15. 1 20. $228 Additional Exercises 10.4 1. 15 6. 240 11. –1 16. –3 2. 18 7. 12 12. 57.4 17. –3/7 3. 0 8. –125 13. –1/7 18. –640 4. 1.3 9. –32 14. -4 19. -$750 5. –12/35 10. 16 15. undefined 20. $2,250,000 Additional Exercises 10.5 1. –1 6. –20 11. –62 16. 1.68 2. 19 7. 9 12. –3 17. 23/72 3. -12 8. –11 13. –57 18. –4 4. 0 9. –3 14. –2 19. 1 5. –7 10. 4 15. -2 20. –2.88 Additional Exercises 11.1 1. 5 6. 54 ft. 11. –5y 16. 3x – 1 2. 2 7. $400 12. –7b 17. 0.8z + 1.8 3. 6 8. –18.9 13. –2a + 16 18. 7x + 5 4. –5 9. 24 ft3 14. 6x – 54 19. 13n – 20 5. -16 10. 14x 15. –14y + 28 20. –10w + 4 Additional Exercises 11.2 1. yes 6. 8 11. 1/3 16. –11.7 2. no 7. –5 12. 7 17. –12 3. no 8. –10 13. –3 18. –18 4. no 9. 5 14. 9 19. –17 5. yes 10. 2 15. -21 20. -3


Additional Exercises 11.3 1. 8/3 6. 16 11. 1/6 16. –0.3 2. –6 7. –28 12. 6 17. 4 3. –8 8. 3/5 13. 5 18. –1 4. –20 9. –8/3 14. 4 19. –2 5. 30 10. –81/32 15. -6 20. -21 Additional Exercises 11.4 1. 5 6. –2.1 11. –15 16. –67 2. 4 7. –6 12. -30 17. –38 + 17 = -21 3. –7 8. –4 13. 7 18. 2(8 – 18) = -20 4. –11 9. –1 14. –5 19. –3(4+7) = -33 5. 49 10. -4 15. -23

20. ( )120

22 30

= −−

Additional Exercises 11.5 1. x + 11 6. (9 + x) + 6x 11. 7/x = -3 16. 9 2. x – 42

7. 3

1x−

12. –7 17. –14

3. 8x 8.

2

5

x

x

+

13. 41 18. bicycle: 20 mph walker: 10 mph

4. 12/x 9. x + 6 = -12 14. –4 19. 1000, 1500 5. 20 – 7x 10. x – 4 = 9 15. -8 20. machine: $280

installation: $40

additional exercises 1 - james dressler · copyright © 2011 pearson education, inc. publishing as...

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