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Extra Practice Chapter 2 Lessons 2-1 to 2-4 Solve each equation. 1. 8p 2 3 5 13 2
2. 8j 2 5 1 j 5 67 8
3. 2n 1 8.5 5 14.2 25.7
4. 6(t 1 5) 5 236 211
5. m 2 9 5 11
1 6. 2(s 1 5) 5 7.5 10
7. 7h 1 2h 2 3 5 15 2
7 3 8. 12x 5 14
10. 8g 2 10g 5 4
20
18 49
11. 23(5 2 t) 5 18
22
9. 3r 2 8 5 232 28 11
12. 3(c 2 4) 5 29
1
Define a variable and write an equation for each situation. Then solve. 13. Your test scores for the semester are 87, 84, and 85. Can you raise your test average to 90 with your next test? t 5 test score; 87 1 84 41 85 1 t 5 90; no
1 14. You spend 2 of your allowance each week on school lunches. Each lunch costs $1.25. How much is your weekly allowance? a 5 allowance; 12a 5 5(1.25); $12.50
Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. 15. 4h 1 5 5 9h 1
16. 2(3x 2 6) 5 3(2x 2 4) identity 19. 2b 1 4b 5 8b 2 b 0
18. m 1 3m 5 4 1 13
21. 10z 2 5 1 3z 5 8 2 z 14 22. 3(g 2 1) 1 7 5 3g 1 4 identity
17. 7t 5 80 1 9t 240 20. 6p 1 1 5 3(2p 1 1) no solution 23. 17 2 20q 5 (213 2 5q)4 no solution
Write an equation to model each situation. Then solve. 24. A DVD club charges a monthly membership fee of $4.95 and $11.95 for each
DVD purchased. If a customer’s bill for the month was $64.70, how many DVDs did the customer purchase? 4.95 1 11.95d 5 64.70; 5 DVDs 25. A lawyer charges $100 per month to be put on retainer for a client. The lawyer
also charges an hourly rate of $75 for work done. How many hours does the lawyer have to work for a client, in one month, to charge $625? 100 1 75h 5 625; 7 h 26. A rectangular pool is twice as long as it is wide. What are the dimensions of the pool if the perimeter is 42 yd? 42 5 2(2w) 1 2w ; 7 yd by 14 yd 27. Two friends rent an apartment together. They agree that one person will pay 1.5 times
what the other person pays. If the rent is $850, how much will each friend pay?
r 1 1.5r 5 850; $340; $510 28. A shopper’s discount club charges a monthly fee of $15 and sells gasoline for
$2.05 per gallon. The gas station across the street sells gasoline for $2.35 per gallon and charges no fee. How many gallons of gasoline would you have to buy in one month to spend the same amount at either store?
15 1 2.05g 5 2.35g; 50 gallons
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Extra Practice (continued) Chapter 2 29. Michael and Kevin are running. Kevin gets a 3-mile head start and runs at a
rate of 5.5 mi/h. Michael runs at a rate of 7 mi/h. How many hours will it take Michael to catch up with Kevin? 5.5x 1 3 5 7x; 2 h Lesson 2-5 Solve each equation for y. Then find the value of y for each value of x. y 5 2x 2 7.5; 31. 4x 2 2y 5 15; x 5 2, 4, 6 y 5 23.5, 0.5, 4.5
y 5 8 2 3x; 30. y 1 3x 5 8; x 5 22, 0, 2 y 5 14, 8, 2
32. x 5 9 2 3y; x 5 23, 6, 12 y 5 3 2 13x; y 5 4, 1, 21
Solve each equation for x. 33. px 1 qx 5 r x 5 p 1r q
34. c 5 b 2 bx x 5 1 2 bc
35.
x23 y 5x
3 x512 y
Solve each problem. Round to the nearest tenth, if necessary. Use 3.14 for π. 36. What is the radius of a circle with a circumference of 15 cm? about 2.4 cm 37. What is the height of a triangle that has a base of 8 in. and an area of 28 in.2 ?
7 in.
38. How long does it take to travel 150 miles at a rate of 60 mi/h? 2.5 h
Lesson 2-6 Convert the given amount to the given unit. 39. 12 ft; inches 144 in.
40. 350 cm; meters 3.5 m
41. 255 min; hours 4.25 h
42. 11 yd; meters 43. 35 lb; kilograms 44. 48 cm; feet about 10.06 m about 15.88 kg about 1.57 ft 45. One bakery is selling 6 muffins for $7.25. Another bakery is selling 8 muffins for $9.29. Which bakery has the better deal? The second bakery has a better deal. about 46. A 12-ounce can of green beans is sold for $1.45. What is the price per pound? $1.93/lb 47. A sailboat is traveling at a speed of 10 nautical miles per hour. If 1 nautical mile is 6076 ft, what is the speed of the sailboat in feet per second? about 16.9 ft/sec
Lesson 2-7 Solve each proportion. 3 26 48. 4 5 m 28 s 4 4 52. 15 5 45 3
t 3 49. 7 5 21 x 9 53. 4 5 10
9 3 50. j 5 16 48 10 8 155 54. q 5 62 2
1 45 2
w 2 51. 5 5 65 3 18 55. 2 5 y
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Extra Practice (continued) Chapter 2 56.
x23 2 15 5 5
9
57.
y18 y 6 52
4
58.
52a 4 8 57
3 7
59.
9 5 12 5 b24
60. If 3 pizzas serve 12 people, how many pizzas are needed for a pizza party with 68 people? 17 pizzas 61. You are planting a vegetable garden with 10 rows. If it took 24 minutes to plant the first 3 rows, how long will it take to plant all 10 rows of the garden? 80 minutes 62. Approximately 8 out of every 25 families in the United States own dogs. If you
asked 90 families, about how many of them would you expect to own dogs? about 29 families
Lesson 2-8 The figures in each pair are similar. Find the missing length. 63.
18
64.
9
16.5
x 12
6
8
11
12
x
65. The scale on a map is 1 in. : 15 mi. The distance between two cities is 25 mi. Find the distance in inches between the cities on the map. about 1.7 in. 66. A 40 : 1 scale model of an airplane is being used to conduct wind-tunnel tests. If the model is 4.5 feet long, how long is the actual airplane? 180 ft
Lessons 2-9 to 2-10 Find each percent, part, or base. 67. What percent of 35 is 14? 40% 70. What is 12.5% of 136? 17
68. What percent of 48 is 36? 75% 71. 25% of what number is 63? 252
69. What is 30% of 124? 37.2 72. 15% of what number is 8.4? 56
73. You deposit $750 in a savings account that earns simple interest at a rate of 2.5% per year. How much interest will you have earned after 5 years? $93.75
Find each percent of change. Describe each as a percent of increase or decrease. Round to the nearest percent. 74. $4.50 to $5.00 11% increase 77. 1 s to 3 s 200% increase
75. 56 in. to 65 in. 16% increase 78. 8 lb to 5 lb 38% decrease
76. 18 oz to 12 oz 33% decrease 79. 6 km to 6.5 km 8% increase
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Extra Practice (continued) Chapter 2 Find the percent of change. Describe the percent of change as an increase or decrease. 80. A $1500 computer is on sale for $1275. 15% decrease 81. The value of a stamp collection increases from $160 to $180 in one year. 12.5% increase 15 cm
82. The side lengths of the rectangle to the right have been measured to
the nearest centimeter, as shown. What is the greatest possible percent error in finding the area of the rectangle? about 9.1%
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