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Extra Practice Extra Practice Chapter 1 Extra Practice LESSON 1–7. See p. A14. LESSON 1-1 Simplify each expression. Use the order of operations to justify your answer. Identify a possible pattern. Use the pattern to write the next three numbers. 1. 13, 21, 29, 37, , , ,... , , 3. 165, 156, 147, 138, 2. 7, 8, 10, 13, ,... , , 4. 19, 33, 47, 61, 37. 9 ,... , , Extra Practice 2 9 45. 9 Commutative Property 47. 1 (2 3) Figure 3 32 11 39. (6 11 42. 6,842 0 9 Identity Property (1 2) 3 48. xy Associative Property 50. 5 12. 41 4 9. 73 343 10. 55 3,125 13. 82 64 14. 122 144 11. 65 6 17. 4,096, base 4 4 2 16. 121, base 11 11 19. 1,296, base 6 6 1,000,000 3)3 7 10 9 (53 5 10) 592 46. 12 1 1 12 49. (x z Commutative Property yx Commutative Property 19 30 51. 5 10 2 54. 30 800 x (y 56. 8 (2 10) 96 59. 15 (13 21. 8,000, base 20 20 39) 190 52. 3 (5 9) 135 55. 125 (2 3) 750 57. 3 (19 8) 75 60. (47 4) 88) 4 69 58. (10 540 61. 5 (157 2) 7 56 45) 560 LESSON 1-6 22. Maria decided to donate $1.00 to her favorite charity the first week of the month and to double the amount she donates each week. How much will she donate the sixth week? $32.00 Evaluate each expression for the given value of the variable. 62. 8k 65. v 1-3 7 for k 5 4 25 v for v 63. 9n 12 for n 20 24 66. 3r 20 66 6 r for r 11 5 64. 12t 15 for t 4 33 67. 5x 2 3x for x 3 54 Evaluate each expression for the given value of the variables. Multiply. 24,000 26. 2,180 104 21,800,000 105 25. 318 103 28. 5.555 106 5,555,000 103 1.56 106 30. 2,056,000 2.056 109 33. 7,000,000,000 7.0 318,000 2 for x 70. 17 5a _ 72. _m 9 n2 4b __ for a 2 5 for m 5 11 10 y 69. 3j 4k 20 for j 12 and k 3 and b 6 20 71. s2 3r 50 for s 8 and r 36 and n 6 45 73. 21 31. 65,400,000 6.54 107 LESSON 34. 206.7 103 2.067 105 Write each phrase as an algebraic expression. 10f for e 7 78. A music store sells packages of guitar strings. David bought s strings for s $24. Write an algebraic expression for the cost of one string. 24 Extra Practice Chapter 1 LESSON LESSON 1-8 Identify like terms in each list. y 80. 9 5y __2 4g 2 y 2 y 79. 2d 5d2 x 4x2 d2 6x 5d 2 and d 2; x and 6x b 6b 6 5k 3t u 82. t 4u 5k 6 n n n 85. 11 3b 6b 3t 5t 2 3b t 87. Write an expression for the perimeter of the given figure. Then simplify the expression. n 2; 4n x 4t 6t 2 5t 7t 1. 5, 3, 3, 1, 2, 0 x 83. 8g 3g 86. y3 3y 11 11g 12 12 6y3 7y 3 3y 4. æ 22æ 22 LESSON 45 12. c j. 90. 14 no 23 51. 94. 19 no 4 LESSON 17. 6 5, d 32 64 t 96 ( 6) 21 7. æ21æ 3 9 10. 5 4 9 11. 7 9 ( 2) 9 13. c 21 12, d 9 14. c 7, d 9 2 15. c 16, d 8 8 2-3 ( 3) 21. a Solve each equation. Check your answer. 100. t 9. 6. æ 13æ 13 d for the given values. Evaluate a 38 9 3, 2, 4 3, 0, 2, 4 Find each difference. LESSON 1-10 16 n 5. æ9æ 5, 0, 5, 95. 28 yes 96. Randall wants to buy a new video game. He has $53, which is $9 less than he needs. Does the video game cost $62 or $65? $62 22 3. 1, 1, 3, 4 16. The temperature in Pierre at 8:00 A.M. was 33 °F . It rose 20 °F in 13°F 9 hours. What was the temperature at 5:00 P.M.? 91. 22 no Determine whether each number is a solution of x 93. 31 no 1, 3, 1, 4 2-2 ( 4) 4 8. 8 Determine whether each number is a solution of 17 92. 42 no 4, 4, Find each sum. 2 89. 28 yes 2. 1, 0, 2, 5 Use a number line to find each absolute value. LESSON 1-9 88. 31 no Chapter 2 2-1 Evaluate c 97. n EP3 98. y 27 42 y 15 99. x 81 14 x 95 101. z 39 72 z 33 102. a 43 61 a 18 103. Raquel is hiking a 9 mile trail in the Grand Canyon. She has already hiked 4 miles. How much farther does she have to hike? 5 miles 104. Mikey scored 12 points for his basketball team. The entire team scored 63 points. How many points did Mikey’s teammates score? 51 points 13 9 18. 4 ( 8) 4 19. 2 5 7 20. 3 ( 4) 7 24. a 9, b b for each set of values. 5, b 8 22. a 12, b 6 6 23. a 7 6, b 13 25. The highest point in the United States is Mount McKinley at about 20,320 feet. Death Valley, California, is the lowest point at about 282 feet below sea level. What is the difference in elevation between the highest and lowest points in the United States? 20,602 ft LESSON 26 17 2-4 Find each product or quotient. LESSON 1-11 Solve each equation. Check your answer. 3s 105. 20 s m 108. }3} 6 12 m 60 106. 12y 84 y 7 107. 15 432 109. 144 3p p 48 110. 72j 111. Adam is saving to buy a computer that costs $400 before school starts. If school starts in 8 weeks, how much will he need to save per week in order to have enough money? $50 EP4 EP2ÐEP5 Extra Practice n }} 9 n 360 j 135 5 26. 9 30. 2 9 3 3 18 27. 8 ( 3) 31. 15 24 3 ( 5) 28. 16 32. 6 7 4 4 29. 7 3 42 33. 72 21 ( 12) 6 Evaluate xy for each set of values. 34. x 2, y 3 6 35. x 4, y 5 20 36. x 2, y 816 37. x 1, y 9 9 38. A submarine descends below the ocean’s surface at a rate of 75 feet per minute. How many feet below the ocean’s surface will the submarine be in 12 minutes? 900 ft Extra Practice EP5 Extra Practice 3t n) Use a number line to order the integers from least to greatest. y 5y , __, and y 2 Simplify. Justify your steps using the Commutative, Associative, and Distributive Properties when necessary. 81. 5b 6(13 Extra Practice Extra Practice 8 77. 6 times the sum of 13 and a number Extra Practice 84. 3u 1 56 5 and f 75. the quotient of a number and 8 n 12 76. add 7 to 8 times a number 8n 36. New York City is about 1.0871 104 km from Tokyo, Japan. London, England, is about 9.581 103 km from Tokyo. Which city is closer to Tokyo? London 9e 2 24 7 93 1-7 74. 12 less than a number n 105 miles. 35. The distance from the Earth to the moon is about 2.48 Write this distance in standard form. 248,000 miles 15 __ y 68. x 24. 20 105 2,000,000 27. 2,508 105 250,800,000 Write each number in scientific notation. 29. 387,000 3.87 z) Associative Property 100 (121 y) Use the Distributive Property to find each product. 3 20. 256, base 2 2 6 53. (25 8) 4 3 18. 216, base 6 6 8 4 7,776 15. 1003 Write each number using an exponent and the given base. Extra Practice 6 Simplify each expression. Justify each step. 8. 53 125 EP2 5) 1-5 44. 9 2 Figure 2 Find each value. 32. 1,560 (20 9 22 Tell which property is represented. 1-2 23. 24 103 38. 16 41. 5 Extra Practice LESSON 7. Make a table that shows the number of dots in each figure. Then tell how many dots are in the fifth figure of the pattern. Use drawings to justify your answer. Figure 1 LESSON 3)2 0 (9 43. Charlotte bought 4 shirts and 3 pairs of pants. She got the pants at a discount. Simplify the expression 4 32 3 25 (3 25) 5 to find out how much she paid for the clothes. $188 6. LESSON 6 5 33 3 40. (4 9) ,... Identify a possible pattern. Use the pattern to draw the next three figures. 5. Chapter 1 1-4 Extra Practice LESSON Extra Practice Chapter 2 LESSON 2-5 Solve each equation. Check your answer. 39. n n 25 7 2k 40. y 36 y 44. h 74 h ( 13) 61 ( 7) 42 49 41. 21 Find a fraction equivalent to the given number. 90–93. Possible answers given. s }} s 4 84 z }} z 9 45. 6 42. 15y y 54 46. 68 2 90. _51_ __ 10 45 3 pp 4 64 20 96. _87_ and __ no 24 12 yes 95. _64_ and __ 18 no 5 15 97. __ and __ 12 36 yes Write each improper fraction as a mixed number. Write each mixed number as an improper fraction. 19 _ 4 98. __ 5 3 2_7 23 99. __ 8 5 2-6 19 __ 5 100. 3 _45_ 8 13 101. 2 __ 15 43 __ 15 Write the prime factorization of each number. 48. 78 2 3 13 4 49. 144 2 32 5 50. 96 2 52. 176 24 11 2 53. 156 2 3 13 4 54. 336 2 56. 888 23 3 37 57. 2,800 LESSON 3 51. 95 3 7 LESSON 2-10 5 19 55. 675 24 52 7 58. 780 22 3 5 13 59. 682 33 52 2 11 31 Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 103. _86_ 0.75 102. _54_ 0.8 57 104. __ 15 3.8 2-7 60. 6, 15 3 17 106. 0.85 __ 107. 20 9 61. 18, 27 62. 26, 65 13 64. 84, 48 12 65. 90, 34 2 66. 49, 56 7 67. 36, 120 12 69. 32, 68 4 70. 81, 75 3 71. 30, 70, 65, 100 5 72. 21, 77 7 73. 64, 84, 120 4 74. 20, 40, 80, 140 20 75. 49, 98 49 76. José is making identical gift bags to sell at his concert. He has 51 CDs and 34 T-shirts. What is the greatest number of gift bags José can make 17 gift bags using all of the CDs and all of the T-shirts? 111. Jacob used 44 of the 60 pages in his journal. What portion of the pages did he use? Write your answer as a decimal rounded to the nearest hundredth. 0.73 Compare the fractions or decimals. Write 77. 12, 15 60 78. 30, 12 60 79. 16, 32 32 80. 25, 40 81. 30, 75 150 82. 12, 64 192 83. 15, 50 150 84. 15, 30, 50, 100 300 200 85. 21, 28 84 86. 15, 22, 30 87. 20, 40, 80, 120 240 88. 42, 90 LESSON _8_ 9 11 __ 12 115. 118. 7 , 2.59, 2.7 2__ 6 __ , 0.5, 0.58 13 LESSON 0.61, 12 2. 26.23 201.86 3. 438.57 42 6. 54.51 135.47 7. 228 190 310 129.39 4. 55.72 7.48 32.62 8. 63.38 4.77 87.23 120 13 8 28.14 ( 62.57) 11. 15. 7.85 ( 34.7) 12. 43.67 8.26 7.4 16. 26.85 0.86 28.86 8.75 14.18 14.81 13. 18 5.43 17. 35.4 18. Zoe gets to work in 25.5 minutes and gets home from work in 37.5 minutes. How much time does she spend commuting each day? 1 h 3 min LESSON ( 7.32) 25.32 11.32 12.04 20. 3.38 0.8 21. 2.704 24. 5.66 ( 16.34) 92.4844 25. 8 ( 0.07) 22. 7.59 ( 36) 43.9 ( 4.7) 26. 73.3 6.85 0.56 206.33 8.5 4.24 2.4 6.25 36. 15 17 1.7 10 29. 74.25 11.25 33. 34.672 7.88 6.6 30. 4.8 ( 4.4) 34. 128.685 40 3.45 37. 70 3.5 20 38. 66 273.24 41. 5.8 15 42. 99 87 31. 37.3 35. 22 48. 1.07 8.5 52. 20.65 x 4.8 0.8 6.2y 6x 49. 9.6 r 21.08 53. __ 13 v 8 v 76.8 3.25 3-6 _5_ 6 1_1 58. _87_ 2 2 _81_ _1_ 6 1 57–64. Possible answers given. 7 62. __ 2 _43_ 16 2 1_1 2 59. 5 _34_ 9 63. 8 __ 10 2 _38_ 8_1 2 1_91_ 9 60. 6 _32_ 2_16_ 5 64. 3 _25_ 1_47_ 7 LESSON 3-7 Add or subtract. Write each answer in simplest form. 0.63 0.9 ( 0.7) 231.28 5.6 ( 41.3) 5 39. 43 8.6 5 3.3 30 43. 22 2.5 8.8 44. Miley is training to run a 10K race. Miley ran 10 kilometers in 62 minutes. If she runs each kilometer at the same pace, how long did it take Miley to run one kilometer? 6.2 min 45. The diameter of a northern red oak tree grows an average of 0.4 inches per year. At this rate, how long will it take the tree’s diameter to grow to 24.8 inches? 62 years Extra Practice 1.35 t 2 70. _73_ 0.12 13.2 47. t 51. x 502.105 66. _41_ ( 1.3) 13 5.9 65. A stock’s price in July was $1938 and its price in October rose to $2718. Estimate the difference between the price in July and the price in October. $7_1 Divide. Estimate to check whether each answer is reasonable. 36.04 9 n 56. The same cereal costs $3.99 per box at one store, $3.25 per box at another store, and $3.59 per box at a third store. What is the average price per box of the cereal? $3.61 57. _38_ 3-4 28. 16.9 s 4.3 6.5 Estimate each sum, difference, product or quotient. 27. Griffin works after school and on weekends. He worked 18.5 hours last week and gets paid $7.90 per hour. How much did he earn last week? $146.15 LESSON s LESSON 3-3 67.4 ( 8.7) Chapter 3 3-5 1 61. 4 __ 12 586.38 EP7 ( 24.08) Multiply. Estimate to check whether each answer is reasonable. 19. 4.3 2.8 9 15 __ , 0.55 15 Extra Practice 54.42 14. 34.43 9 __ 0.55, 55. A single movie ticket costs $7.25. The Brown family consists of Mr. and Mrs. Brown, Amy, and her two brothers. What does it cost the Brown family to go to the movies together? $36.25 3-2 45.63 1.007 r 42.25 y 3.4 n 12.4 x 7.43 54. Billy worked 7.5 hours and earned $56.70. What is Billy’s hourly wage? $7.56 per hour Add or subtract. Estimate to check whether each answer is reasonable. 10. 8.79 46. 4.7 50. 9. Caden has $48.50. He thinks he can buy three CDs for $16.99 each. Use estimation to check whether his assumption is reasonable. no; 3 17 51 LESSON 0.61, 1.024 Solve. Justify your steps. 1,015 5.87 7.39 EP8 . 114. Order the numbers from least to greatest. 7 6 117. 2.7, 2.59, 2 __ 116. 0.5, 0.58, __ 13 12 Extra Practice Chapter 3 3-1 1. 145.2 6.7 40. or Extra Practice Estimate by rounding to the nearest integer. 32. 0.88 Extra Practice Extra Practice 23. 113. 0.82 119. Brian operates an ice cream stand in a large city. He spends 0.4 of 1 on advertising, and 0.08 on taxes and fees. his budget on supplies, __ 12 Does Brian spend more on advertising or more on taxes and fees? advertising 630 89. Kanisha shoots a basket every 7 seconds. Thomas shoots a basket every 12 seconds. They begin at the same time. How many seconds will have passed when they next shoot a basket at the same time? 84 seconds 5. 5 __ 13 8 112. __ 13 Find the least common multiple (LCM). EP6 5 LESSON 2-11 2-8 330 5 8 110. Brianna brought 96 CDs to sell at her concert. At the concert, she sold 84 CDs. What portion of the CDs did she sell? Write your answer as a decimal. 0.875 63. 60, 25 5 68. 30, 75 15 LESSON 7.5 13 109. 2.6 __ or 2_3 108. 0.875 _7 1 __ 25 0.04 75 __ 10 105. Write each decimal as a fraction in simplest form. Find the greatest common factor (GCF). Extra Practice 100 50 ___ 93. __ 13 26 96 __ 1 92. 96 Determine whether the fractions in each pair are equivalent. 94. _27_ and _34_ 47. On Monday, Martin deposited $76 into his bank account. On Tuesday, he withdrew $100. He then had $202 in his account. How much money $226 did he start with on Monday? LESSON 23 91. 7 _23_ __ 3 Extra Practice Extra Practice k } 43. }18 18 Chapter 2 2-9 _1_ 3 _5_ 9 7 __ 12 62 __ 63 3 67. __ 11 71. _87_ 3 __ 3 __ 22 22 5 _2_ __ 3 24 68. _3_ 6 7 72. __ 12 7 1 _2_ _ 69. _14_ __ 3 6 10 9 5 73. _4_ __ 17 _5_ __ __ 5 6 12 or 1 12 10 74. Jacob and Julius spent _14_ hour swimming, 110 hour eating a snack, and 17 hour then 12 hour hiking. How long did these activities take Jacob and Julius? __ 19 __ 20 1 __ 10 20 LESSON 3-8 Add or subtract. Write each answer in simplest form. 75. 9 _78_ 79. 7 _14_ 45 or 5_5 4 _14_ __ 8 8 43 7 or 3__ 3 _23_ __ 12 12 76. 3_21_ 80. 4_32_ 25 or 6_1 77. 9_5_ 2_34_ __ 4 4 6 205 13 ___ __ 3_87_ 24 or 8 24 81. 8_52_ 1 7 _ _ 6_13_ 2 or 3 2 197 5 ___ or 8__ 24 24 7 78. 5 __ 12 9 9 _ or 4_1 82. 3 _7_ 3__ 2 10 2 8 2 _85_ 339 19 or 8__ 4 _53_ ___ 40 40 83. The average male giraffe is about 1712 feet tall. One of the giraffes at the zoo is 1818 feet tall. How much taller is the giraffe at the zoo than the 5 average male giraffe? _ ft 8 Extra Practice EP9 EP6ÐEP9 Extra Practice 3-9 LESSON Extra Practice Chapter 3 102 92. ___ or 20_2 5 5 LESSON One day, a veterinarian saw 20 cats and 30 dogs. Write each ratio in all three forms. Make sure each ratio is in simplest form. Multiply. Write each answer in simplest form. 25 7 ___ 119 11 29 11 86. _5_ 4 _3_ __ __ or 3_1 87. 5 _23_ __ 85. 3 _29_ _12_ __ or 1__ 7 8 8 12 36 or 3 36 8 18 18 2 2 135 7 91. 4 _1_ 5 __ 1 ___ 253 13 89. 3_1_ 2 _5_ __ 85 427 or 88. 4 _35_ 3 _23_ ___ or 8__ or 16__ or 9_4 90. 2 _14_ 3 _34_ ___ 7 5 3 6 12 16 16 15 15 9 9 20 21__ 1 20 9 92. 3_15_ 6_38_ 93. 5 _13_ _5 94. _37_ 1_12_ __ 95. 2 3__ 10 or 1_2 31 __ 14 3 3 or 6_1 1 1 5 5 96. Mary is 2]2] times as old as Victor. If Victor is 7]2] years old, how old is Mary? 18_3 years old 4 1 17 or 8_ 84. _23_ 12 _34_ __ 1. cats to dogs _2 , 2 to 3, 2:3 2. dogs to cats _3 , 3 to 2, 3:2 3 2 , 2 to 5, 2:5 _ 5 3. cats to animals 2 4. A compact car can travel 135 miles per 5 gallons of gas. A midsize car can travel 210 miles per 10 gallons of gas. Which car gets more miles per gallon? the compact car 97. Admission to a museum in 2008 was $22.50. In 1998, the admission price was _35_ of the admission price in 2008. What was the admission price in 1998? $13.50 Extra Practice Extra Practice Chapter 4 4-1 LESSON 4-2 5. Danielle skipped a rope 248 times in 4 minutes. On average, how many times did Danielle skip rope per minute? 62 times per minute 6. A serving of 8 crackers contains 128 calories. What is the number of calories per cracker? 16 calories per cracker LESSON 3-10 Divide. Write each answer in simplest form. 5 2 7 99. __ _78_ _ 100. _23_ _25_ _ 12 20 20 3 3 141 or 7__ 1 _3_ 1_1_ 3 _5_ 4 _1_ 102. 5_78_ _56_ ___ 103. 3 104. 2 4 4 6 3 20 20 81 1 4 __ __ 106. _45_ 3 __ 107. 1_18_ _29_ 16 or 5 16 108. 2_14_ 3_12_ 15 21 1 98. _78_ _56_ __ or 1__ 7. Jamie’s family drives 350 miles to her grandparents’ house in 7 hours. What is their average speed in miles per hour? 50 mi per h 9 1 101. 2 _14_ _12_ _ or 4_ or 1_2 3 2 2 34 4 or 2__ 105. 5 _23_ 2 _12_ __ 15 15 17 __ 26 9 __ 14 109. 5 _15_ 8. A store sells milk in three different sizes. The 128 fl oz container costs $4.59, the 64 fl oz container costs $3.29, and the 32 fl oz container costs $1.99. Which size has the lowest price per fluid ounce? the 128 fl oz container 25 110. Each serving of chicken weighs ]13] pound. Melanie bought 12 pounds of chicken for a party. How many servings does she have? 36 servings LESSON 4-3 Determine whether the ratios are proportional. 111. Jessika, Alfred, and Judith are driving round-trip to a football game that is 190 miles from their town. If each of them drives the same 2 distance, how far will each person drive? 126 _3 25 __ 9. __ , 30 yes 40 48 32 __ 10. __ , 24 no 36 28 15 yes 11. _56_, __ 18 18 yes 21 , __ 12. __ 49 42 Possible Find a ratio equivalent to each ratio. Then use the ratios to write a proportion. answers: LESSON 3-11 x _5 or 2_1 2 2 11 t ____ 1 __ 24114. _5_ _1_x 115. _23_w 240w 360 112. _13_ s _25_ s 15 113. t _38_ _56_ 6 3 3 _ 5_ 5_ 5_ 5_ 3_ 2 _ _ _ _ _ _ _ 117. x 8 8 x 0 118. 3y 4 119. _6r_ _18_ r 4 116. 8 n 6 35 11 n __ or 1__ y _9 or 1_1 24 1 24 8 i 11 1_ s _5_ 8 2_ 1 _3_ e __ _ __ _ 14 2 _ __ _ 120. j _45_ __ 121. 122. 123. 4 7 12 e 6 2 8 3 i 3 or 4 3 9 10 j __ s _5 or 1_1 10 4 3 2 4 3 24 _ 24 __ 15. ]32] 32 4 15 15 __ _3 14. ]4] 8 0 40 8 72 _ 72 __ 13. ]8] 9 1 81 5 __ 5 10 16. __ __ 13 13 26 Solve. Write each answer in simplest form. LESSON 4-4 Use cross products to solve each proportion. y 63 21. __ __ 45 35 124. Jorge owns 1]4] acres of land. Juanita, his neighbor, owns 2]3] acres. 5 How many acres do they own in all? 4__ acres 12 y 49 Extra Practice Extra Practice Extra Practice Chapter 4 27. the weight of 6 crackers oz 28. the capacity of a pond gal 29. the capacity of a baby’s bottle cups 30. the length of a marathon mi EP11 Chapter 4 Tell whether the figures are similar. 50. 130o 6 in. 6 in. 50o 10 in. 32. 5 ft to inches 60 in. 51. B 50o D 33. 6.5 lb to ounces 34. The directions on Brant’s protein powder say to mix four scoops with 16 ounces of milk to make a protein drink. If Brant has a quart of milk, how many protein drinks can he make? 2 drinks similar F 5 cm A 8 cm C 27 cm 4 in. 15 cm 24 cm E Extra Practice 16 c not similar 9 cm 130o Convert each measure. 104 oz LESSON 4-9 Find the unknown measures. 52. OXYZ ORQS 4-6 150 LESSON 4-8 Choose the most appropriate customary unit for each measurement. Justify your answer. 27–30. For complete answers, see p. A14. LESSON 56 105 m __ ___ m 80 Extra Practice LESSON 4-5 31. 8 pt to cups 3 t t7 20. __ __ 21 49 72 24. 26. In 2 weeks, a taxi traveled 2,460 miles. At this rate, how many miles will the taxi travel in one year (52 weeks)? 63,960 mi 126. Matilda uses 1_23_ cup milk for a muffin recipe. If she wants to make 3 times the amount of muffins, how much milk will she use? 5 cups Extra Practice u 21 19. __ __ 14 28 48 n 1.5 32 52 x ___ 22. _n6_ __ 23. __ x 117 12 25. The ratio of a person’s weight on Earth to his weight on the Moon is 6 to 1. Rafael weighs 90 pounds on Earth. How much would he weigh on the Moon? 15 lb 125. Kyra uses 2]14] feet of ribbon to wrap each of the identical fruit baskets that she sells. How many baskets can she wrap with a 144-foot roll of ribbon? 64 baskets EP10 u 10.5 p p 16 18. _47_ __ 28 12 n 12 17. _n8_ __ 18 x 18 ft; y 34° Q 35–38. For complete answers, see p. A14. 56° Y 56° 34° 6 ft X 9 ft Z Choose the most appropriate metric unit for each measurement. Justify your answer. 35. The distance from home plate to first base meters 36. The height of a telephone pole meters 37. The mass of a marble grams 38. The capacity of a baby bottle mL x y R 27 ft S 53. A 5-foot-tall girl casts a 7-foot-long shadow. At the same time, a nearby telephone pole casts a 35-foot-long shadow. What is the height of the telephone pole? 25 ft Convert each measure. 39. 8.9 m to millimeters 8,900 mm40. 56 mg to grams 0.056 g 41. 900 mL to liters 42. 2 L to milliliters 2,000 mL 44. 0.002 kg to milligrams 43. 150 m to kilometers 0.150 km 54. A 24-foot-tall tree casts a 30-foot-long shadow. A 4-foot-tall child is standing nearby. How long is the child’s shadow? 5 ft 0.9 L 55. A flagpole casts a shadow that is 26 ft long. At the same time, a yardstick casts a shadow that is 4 ft long. How tall is the flagpole? 19.5 ft 2,000 mg 45. Anthony and Melinda are drinking apple juice. Anthony has 300 mL of juice left and Melinda has 0.09 L. Who has the greater amount of juice? Explain why your answer makes sense. Anthony; 300 mL ⴝ 0.3 L, so Anthony has more. 56. An amoeba is 0.8 millimeter in length. At the science museum, there is a scale model of the amoeba that is 160 millimeters in length. What is 200 the scale factor? ___ 1 LESSON 4-7 46. A water fountain dispenses 8 cups of water per minute. Find this rate in pints per minute. 4 pints per minute LESSON 4-10 57. A scale model of the Empire State Building is 3.125 feet tall with a scale 1 . Find the actual height of the Empire State Building. factor of ___ 1,250 ft 400 47. Jo’s car uses 1,664 quarts of gas per year. Find this rate in gallons per week. 8 gallons per week 48. Toby walked 352 feet in one minute. What is his rate in miles per hour? 58. Kira is drawing a map of her state with a scale of 1 inch:30 miles. The actual distance between Park City and Gatesville is 80 miles. How far from Gatesville should Kira place Park City on her map? 2]2] in 3 59. On a map, the distance between the cities of Brachburg and Trunktown is 4.3 cm. The map scale is 1 cm:25 km. What is the actual distance between the cities? 107.5 km 4 miles per hour 49. A giant tortoise has a top speed of 2.992 inches per second. What is a giant tortoise’s top speed in meters per second? Round your answer to the nearest thousandth. (Hint: 1 in. ⴝ 0.0254 m) 0.076 m/sec EP12 Extra Practice Extra Practice MSM710SE_BM_EP11_EP13.indd EP12 EP10–EP13 4/19/10 7:59:18 AM EP13 Extra Practice LESSON Extra Practice Chapter 5 5-1 LESSON Plot each point on a coordinate plane. Identify the quadrant that contains each point. 1–3. See p. A14. II 1. M( 1, 1) 2. N(4, 4) I 4 Give the coordinates of each point. 5. B (4, 1) LESSON 6. C (3, 2 2 2) C 18. y x 4 5-2 Distance from home Distance from home Distance from home Rule x 3x 3( 2) 1 3(0) 1 3(2) 1 2 0 2 ( 2, Time 2x LESSON 5 n y 10. Input Rule 4 x 4x2 y 7 1 5 1 4(1)2 4(3)2 4(5)2 4 36 100 3 5 12. y 5x 2 3 4 0 4 8 2 13. y 16. 5 12 x 2 1 14. y 26. _4_; ( 2, 5 3) 27. 3; (1, 2 x _2_ x 3 28. y 5 29. y 6x 4 30. 3x 2 31. y y 32. 33. 2 6 4 O 2 2 4 x y 5 x 2 6 10 O 2 2 2 1 2 3 4 y 2 4 8 16 y 2x _ 5 1 y 4 2x 1 Tell whether each equation represents a direct variation. If so, identify the constant of variation. 5 34. 3x 32 5y yes; k 3 35. y _ 5 x 2 no 36. y 0.9x yes; k 37. y 12 no 2x 0.9 38. Peter has decided to save $30 each week to buy a new stereo system. a. Write a direct variation equation for the amount of money d that Peter 30w has saved in w weeks. d b. Graph the data. See p. A15. c. How many weeks will it take Peter to save $270? 9 EP15 Extra Practice Extra Practice Chapter 6 Chapter 6 LESSON 6-4 6-1 1. Find the percent of each number. Check whether your answer is reasonable. 2. 3. 76% 1 11 or 1__ 5. 110% __ 10 50 10 9. 7% 0.07 5 Solve. 100 10. 125% 1.25 11. 0.53% 0.0053 LESSON 6-2 Write each decimal as a percent. 13. 0.54 54% 14. 1.69 169% 15. 42.0 4,200% 16. 0.898 89.8% 33 75% 19. __ 44 61 67.0% 20. __ 91 Write each fraction as a percent. 29 33.7% 18. __ 86 21. 1_25_ 140% Decide whether using pencil and paper, mental math, or a calculator is most useful when solving the following problem. Then solve. 30% of $30 3 $3 $9. $30 $9 26. 15% of 15 3 $21, so she has enough money. 29. 19% of 109 22 30. 2% of 56 1 $3. 31. 48% of 200 100 32. Last year, Maria’s retirement fund lost 19%. If the fund was worth $18,000 at the beginning of the year, how much money did she lose? $3,420 33. Every year, about 300 movies are made. Only 13% are considered to be hits. About how many movies are considered hits in a year? about 39 movies Extra Practice 50. The sales tax on a $68 hotel room is $7.48. What is the sales tax rate? 11% LESSON 6-6 Find each percent of change. Round answers to the nearest tenth of a percent, if necessary. 51. 54 is increased to 68. 52. 90 is decreased to 82. 53. 60 is increased to 80. 54. 76 is decreased to 55. 55. 75 is increased to 120. 56. 50 is decreased to 33. 8.9% 33.3% 60% 34% 59. A regular bag of potato chips contains 12 ounces. A jumbo bag of chips contains 166}23}% more chips. How many ounces does the jumbo bag contain? 32 oz Use 1% or 10% to estimate the percent of each number. Possible answers: 28. 21% of 88 18 48. 9 is 15% of what number? 60 49. Thomas bought a desk with a retail sales price of $129 and paid $10.32 sales tax. What is the sales tax rate where Thomas bought the desk? 8% 58. A market’s old parking lot held 48 cars. The new lot holds 37.5% more cars. How many parking spaces are on the new lot? 66 parking spaces Use a fraction to estimate the percent of each number. Possible answers: 27. Kel has $25 to spend on a pair of jeans. One pair is on sale for 30% off the regular price of $29.99. Does she have enough money to buy the jeans? Explain. Possible answer: yes, $29.99 is about $30, so find 30% of $30. 10% of $30 46. What percent of 88 is 102? about 115.9% 47. 24 is 60% of what number? 40 27.6% LESSON 6-3 25. 65% of 300 200 44. What percent of 140 is 28? 20% 45. What percent of 120 is 24? 20% 57. Abby’s Appliances sells DVD players at 7% above the wholesale cost of $89. How much does the store charge for a DVD player? $95.23 stuffed animals 24. 27% of 76 19 43. What percent of 150 is 60? 40% 25.9% 22. Tyler wants to donate 49% of his 50 stuffed animals to the children’s hospital. About how many stuffed animals will he donate? mental math; about 25 23. 48% of 200 100 37. 2% of 68 1.36 40. 1% of 8.5 0.085 41. 1.25% of 48 0.6 LESSON 6-5 9 7. 9% ___ 6. 20% _1 Write each percent as a decimal. 8. 27% 0.27 35. 55% of 256 140.8 36. 75% of 60 45 39. 0.5% of 80 0.4 42. Ryan bought a new CD holder for his car. He can fit only 60 of his CDs in the holder. This represents 60% of his collection. How many CDs does Ryan have? 100 CDs 60% Write each percent as a fraction in simplest form. 7 4. 14% __ 34. 35% of 80 28 38. 17% of 51 8.67 Extra Practice 40% 15 44.1% 17. __ 34 3) y 2 x Extra Practice 12. 0.06 6% x Write the equation of each line in slope-intercept form. Write the percent modeled by each grid. Extra Practice (1, 0) O LESSON 5-8 n geometric, y Extra Practice EP16 _2_; (4, 1) 3 4 arithmetic, y LESSON positive, 1 1 4 Graph each equation. 28–31. See p. A15. Output y 17. Tim wants to increase the number of miles he runs each week. His plan is to run 10 miles the first week, 12 miles the second week, 14 miles the third week, and 16 miles the fourth week. Write a function that describes the sequence, and then use the function to predict how many miles Tim will run during the eighth week. y 2n 8; 24 mi EP14 25. 5-4 1 x negative, y 2) 24. _21_; (2, 1) Tell whether each sequence of y-values is arithmetic or geometric. Then find y when n 5. 15. 2 Use the given slope and point to graph each line. 24–27. See p. A15. Make a function table, and graph the resulting ordered pairs. 11–14. See p. A14. 11. y x LESSON 5-7 Output 1 20. y ( 3, 1) O Time 5-3 Input 3 23. (1, 1) Find the output for each input. 9. x y 22. Graph C 8. Jose is selling tins of popcorn for a school fund-raiser. Each tin of popcorn sells for $12. Draw a graph to show his possible income from sales. See p. A14. LESSON 19. y Tell whether the slope is positive or negative. Then find the slope. Graph B Time 2 LESSON 5-6 7. Abby rode her bike to the park. She had a picnic there with friends before biking home. Which graph best shows the situation? C Graph A 2x 21. The outside temperature is increasing at the rate of 6 °F per hour. When Reid begins measuring the temperature, it is 52 °F. Write a linear function that describes the outside temperature over time. Then make a 6n 52 graph to show the temperature over the first 3 hours. y Extra Practice Extra Practice 4. A ( 1, 3) B O 2 5-5 Graph each linear function. 18–21. See pp. A14–A15. 2 1) IV 3. Q(3, y A Chapter 5 LESSON 6-7 Find each missing value. 60. I ,P 62. I $168, P $500, r $800, r 5%, t ,t 1 year $25 3 years 7% 61. I $30, P ,r 63. I $48, P $300, r $250 6%, t 2 years 8%, t 64. Shane deposits $600 in an account that earns 5.5% annual simple interest. How long will it be before the total amount is $699? 3 years Extra Practice 2 years EP17 EP14ÐEP17 LESSON 7-1 1–3. See p. A15. Game Date The table shows the number of points a player scored during the last ten games of the season. 1. Make a cumulative frequency table of the data. 2. Make a stem-and-leaf plot of the data. 3. Make a line plot of the data. Points Game Date Points Feb 7 36 Feb 25 18 Feb 14 34 Feb 27 31 Feb 18 27 Mar 1 43 Feb 20 46 Mar 3 42 Feb 23 32 Mar 4 28 LESSON 7-2 Find the mean, median, mode, and range of each data set. 4. 13, 8, 40, 19, 5, 8 15.5; 10.5; 8; 35 5. 21, 19, 23, 26, 15, 25, 25 22; 23; 25; 11 Identify the outlier in each data set. Then determine how the outlier affects the mean, median, and mode of the data. Then tell which measure of central tendency best describes the data with and without the outlier. 6 and 7. See p. A15. 6. 23, 27, 31, 19, 56, 22, 25, 21 LESSON 7-3 7. 66, 78, 57, 87, 66, 59, 239, 84 8 and 9. See p. A15. 8. The table shows the populations of four countries. Make a double-bar graph of the data. 1998 Population (millions) Country 9. The list below shows the scores on a history quiz. Make a histogram of the data. 87, 92, 75, 79, 64, 88, 96, 99, 69, 77, 78, 78, 88, 83, 93, 76 9.3 9.7 Syria 15.3 16.7 Turkey 64.5 66.5 Algeria 30.1 31.7 Ethnic Groups of Iran The circle graph shows the results of a survey of 100 people from Iran who were asked about their ethnic backgrounds. Use the graph for Exercises 10–12. Other Persian 10. Which ethnic group is the second largest? Azeri Azeri Determine whether each sample may be biased. Explain. 20. A bank asks the first 10 customers that enter in the morning if they are Possible answer: The sample is biased. Morning satisfied with the bank’s late afternoon lobby hours. customers may not be as concerned about afternoon lobby hours as all customers. 21. Members of a polling organization survey 1,000 residents by randomly choosing names from a list of all residents. Possible answer: The sample is not biased. It is a random sample. LESSON 7-9 22. The table shows the average number of points per game that Michael Jordan scored during each season with the Chicago Bulls. Use the data to make a scatter plot. Describe the relationship between the data sets. See p. A15. Points Year Points 33.6 1994 26.9 1991 31.5 1995 30.4 1992 30.1 1996 29.6 1993 32.6 1997 28.7 Explain why each graph could be misleading. 23. 24. Australia and Iran Hungary and Ireland 140 100 60 20 lia stra Au 12 9 3 0 n Ira ng Hu ar y Irela N O L 24. __ radii A ___ AB and CD; AC and BD B 9. 30. HMJ neither 12. HMJ and JMK 13. LMK and GMK supplementary 14. JMK and KML hexagon 31. 32. pentagon J LESSON K H no; no line segments for sides 33. 34. scalene obtuse M G heptagon 8-6 Classify each triangle according to its sides and angles. complementary neither 29. no; not a closed figure acute Use the diagram to tell whether the angles are complementary, supplementary, or neither. GMH and 35. 36. isosceles acute scalene right L equilateral acute 15. Angles Q and S are complementary. If m Q is 77°, what is m S? 13° LESSON 16. Angles M and N are supplementary. If m M is 17°, what is m N? 163° Give all of the names that apply to each quadrilateral. Then give the name that best describes it. 8-7 37. LESSON 8-3 Tell whether the lines in the figure appear parallel, perpendicular, or skew. ‹___› skew ___ ‹ ‹___› › 19. OP and QR parallel ‹___› N ‹___› O 18. OQ and QR perpendicular ___ ___ ‹ › ‹ P Q › 20. PN and OQ R 1 116° 22. 3 64° 23. 8 116° EP20 Extra Practice EP18ÐEP21 38. 56° 64° 60° 4 64° 6 3 1 j 40. parallelogram, rectangle, rhombus, square; square trapezoid Find the unknown angle measure in each triangle. 41. skew 39. parallelogram, rhombus; rhombus parallelogram, rectangle; rectangle LESSON 8-8 Line j || line k. Find the measure of each angle. 21. K I Name each polygon. 10. right 28. yes Tell whether each angle is acute, right, obtuse, or straight. 11. JKw, w HM w LwM w, w Determine whether each figure is a polygon. If it is not, explain why not. D C obtuse J LESSON 8-5 27. LESSON 8-2 8. JK, HM M L 26. chords H JL, JK, KL w ___ ___ 25. __ diameters ___ M 5. three __ __line __segments ___ EP19 Chapter 8 Name the parts of circle I. K J 6. Identify the line segments that are congruent in the figure. ‹___› nd 42. 33° x x 43. 98° 57° 44. 49° 33° 104° 38° x 38° x 8 7 5 k Divide each polygon into triangles to find the sum of its angle measures. 45. 900° 46. 720° 47. 360° 48. 540° Extra Practice EP21 Extra Practice Extra Practice Year 1990 23 and 24. See p. A15. IH, IwJw, wIKw, wIM w 17. PN and QR 18 LESSON 8-4 1–5. Possible answers given. › 2. a line MN 3. a plane JKN ‹ straight 14 Nov LESSON 7-8 Extra Practice Chapter 8 Identify the figures in the diagram. ___ 7. Sep Extra Practice Extra Practice KO, KN, MN 12 18. the number of participants in a hole-in-one contest for the last 10 years line graph Extra Practice 4. three rays___ ___› ___ › › 9 Jul Choose the type of graph that would best represent each type of data. Bar graph. You can see how easily the numbers relate with the heights of the bars on a bar graph. 14. the average temperature for each day of one week J, K, L 8 May LESSON 7-7 two pieces of data on a bar graph. 1. three points 5 Mar 17. Use the graph to estimate the number of students Karen tutored during the month of October. about 16 students 13. the number of guitars sold compared with the number of drum sets sold for the year 2002 LESSON 8-1 Students Jan 16. Make a line graph of the data. Use the graph to determine during which months the number of students increased the most. See p. A15. Decide whether a bar graph or a circle graph would best display the information. Explain your answer. Bar graph. You can easily compare the EP18 Month The table shows the number of students Karen tutored during certain months. Use the table for Exercises 16 and 17. Population (millions) Kurdish 12. According to the survey, 3% of the people are Arab. How many of the people surveyed are Arab? 3 people LESSON 7-6 LESSON 7-10 Arab 11. Approximately what percent of the people are Persian? 50% 15. Use the data to make a box-and-whisker plot. 22, 41, 39, 27, 29, 30, 40, 61, 25, 28, 32 See p. A15. 19. the prices of the five top-selling MP3 players bar graph 2001 Population (millions) Tunisia LESSON 7-4 Chapter 7 LESSON 7-5 Extra Practice Extra Practice Extra Practice Chapter 7 Population (millions) Extra Practice Extra Practice Extra Practice Chapter 8 Choose the more precise measurement in each pair. Determine whether the triangles are congruent. 49. 50. ÓäÊvÌ 12 in. P ÓxÊvÌ 8 in. 8 in. ÓäÊvÌ T 8 in. 8 cm 6 cm N O 5 cm no 7 in. S 53. 115° x 3.2 cm 115° 65° 2.2 cm 65° 115° a 2.8 cm 45 mm 109° 26 mm 20 mm 95° 66° a 2.8 cm 2.9 cm 115° 45 mm 109° 26 mm x 55 mm 20 mm 95° 2.9 cm 65° x 54. 2.2 cm a 2.8 cm 2.8 cm 3.2 cm x 66°; a LESSON 8-10 4. 18.5 cm 4.5 cm 4 cm 55 mm 55–57. See p. A15. Þ 4 + Ó * E " , Ó D R 4 y S 2 Ý { 57. Translate RST 3 units right and 3 units down. y Ó G x F O 2 2 x 4 2 O T2 4 Decide whether each figure has line symmetry. If it does, draw all the lines of symmetry. 59. 7. 8. 7 yd no lines of symmetry 23.7 mm 51.8 in. 74.4 mm Find the area of each rectangle or parallelogram. 10. 11. 11 cm 12. 34 m 3.3 cm 5.4 in. 15 m 36.3 cm2 510 m2 13. Harry is using 16 Japanese tatami mats to cover a floor. Each mat measures 3 feet by 2 feet. What is the total area that will be covered by the mats? 96 ft2 LESSON 9-4 Find the area of each triangle or trapezoid. 65 in2 14. 15. 16. 21 mm 15.6 cm 4.4 cm 11.3 mm 214.7 mm2 10.4 cm 17 mm 17. 17 in. 18. 19. 907.5 in2 5 times 3 times 104 mm 697.1 m2 33,962.2 mm2 20. A circular fountain has a diameter of 42 ft. What is the area of 22 for À. the wading pool? Use __ 1,386 ft2 7 Extra Practice Extra Practice Chapter 9 LESSON 9-6 21. Chapter 10 Identify the bases and faces of each figure. Then name the figure. 22. ÈÊ 24. LESSON 10-2 4. The back of a moving van is shaped like a rectangular prism. It is 24 ft long, 7 ft wide, and 8 ft high. Find the volume of the moving van. 1,344 ft3 25. {Ê ÈÊ 36 m2 981.25 in3 69.81 ft2 288 cm 8 in. Find the volume of the composite figure to the nearest tenth. Use 3.14 for π. LESSON 9-7 ____ 26. 132 169 6. ____ 27. 196 14 29. 602 3,600 28. 625 25 Estimate each square root to the nearest whole number. Use a calculator to check your answer. ___ ___ ___ ___ 31. 18 4 32. 53 7 33. 95 10 35. 221 15 36. 109 10 37. 175 13 ____ 10 m 1.5 yd 2 yd 14 m 34. 152 12 ____ 7. 6m 12 m 12.5 in. 4m 30. 10 3 ____ 8 ft 38. A square painting has an area of 2,728 square centimeters. About how long is each side of the painting? Round your answer to the 52 cm nearest centimeter. 2.5 yd 4 yd 1510.4 m3 ____ 27.5 yd3 LESSON 10-3 Find the volume of each pyramid to the nearest tenth. Estimate to check whether the answer is reasonable. LESSON 9-8 8. 14 cm 9. 10 ft 213.3 ft3 10. 8 in. Use the Pythagorean Theorem to find each missing measure. 39. 40. 17 cm 15 in. x 41. 14 cm 8 cm 48 mm x 15 cm 12 in. 42. Ricky rides his bike 25 miles south and then turns east and rides another 25 miles before he stops to rest. How far is Ricky from his starting point? Round your answer to the nearest tenth. 35.4 mi 36 mm 60 mm 14 cm Extra Practice 6 in. 16 ft 914.7 cm3 32.0 in3 4 in. 4 ft Find the volume of each cone to the nearest tenth. Use 3.14 for π. Estimate to check whether the answer is reasonable. 11. 15 in. 1,004.8 in3 8 in. EP24 7 ft 24 ft 5. A drum is shaped like a cylinder. It is 12.5 in. wide and 8 in. tall. Find its volume. Use 3.14 for π. ÈÊ 2 Find each square or square root. hexagon; triangles; hexagonal pyramid 3. octagon; rectangles; octagonal prism 2. Extra Practice about 22 square feet Find the area of each figure. Use 3.14 for π. 23. rectangle; triangles; rectangular pyramid 1. about 36 square feet x EP23 LESSON 10-1 Estimate the area of each figure. Each square represents 1 ft2. 9 in. 57.2 cm2 Find the area of each circle to the nearest tenth. Use 3.14 for À. Extra Practice Extra Practice 56.7 in2 10.5 in. 29.8 m 63. 4 times 9. 16.5 in. LESSON 9-5 60. 62. 5 12 m LESSON 9-3 Tell how many times each figure will show rotational symmetry within one full rotation. 61. 1 18 2 m 11.2 km 44.0 yd 10 in. yes yes Extra Practice 11.2 km 13 in. 58. 16 22 for À. Find the circumference of each circle to the nearest tenth. Use 3.14 or __ 7 LESSON 8-11 EP22 6. 48 m 5 6__ m 11.2 km Graph each transformation. Write the coordinates of the vertices of each image. 55. Rotate PQR 90° counter- 56. Reflect the figure clockwise about vertex R. across the y-axis. 5. 33.6 km 3 cm 7 cm Determine the unknown measure(s) in each set of congruent polygons. 52. 65° 5 m, 6_83_ m 3. 6__ 16 Find each perimeter. M K 10 cm L U no 12 cm Q 2. 8.1 m, 811 cm 811 cm LESSON 9-2 Extra Practice £äÊvÌ 1. 2 ft, 23 in. 23 in. J 16 cm 7 in. ÓxÊvÌ Extra Practice 51. R £äÊvÌ yes Chapter 9 LESSON 9-1 LESSON 8-9 12. 932.6 cm3 18 cm 11 cm 13. 30 yd 12,560.0 yd 3 20 yd Extra Practice EP25 EP22ÐEP25 Extra Practice Extra Practice Chapter 10 LESSON 10-4 LESSON 11-1 Find the surface area of each prism. 14. 15. 5 in. 11 in. 3 cm Determine whether each event is impossible, unlikely, as likely as not, likely, or certain. 16. 1. flipping a coin and getting heads twelve times in a row unlikely 8 cm 10 cm 4 cm 6 cm 132 cm2 4 cm 208 cm 10 m 18. LESSON 11-2 19. 9m 4.5 yd 81.6 yd2 1 6 Find the surface area of each cylinder to the nearest tenth. Use 3.14 for π. 2 yd 2. drawing a green bead from a bag of white and red beads impossible 3. The probability of rolling a 2 on a number cube is 6. What is the probability of not rolling a 2? _5 2 20 in. 5 in. 1,193.2 m2 785.0 in2 LESSON 10-5 4. Bess bowls a strike on 6 out of 15 tries. What is the experimental probability that she will bowl a strike on her next try? Write your __ 6 , 0.4, 40% answer as a fraction, as a decimal, and as a percent. 15 5. For the past 10 days, a city planner has counted the number of northbound cars that pass through a particular intersection. During that time, 200 or more cars were counted 9 out of 10 days. a. What is the experimental probability that there will be 200 or more 9 __ northbound cars passing through the intersection on the eleventh day? 10 Find the surface area of each pyramid or cone. Use 3.14 for π. 75.36 ft2 21. 20. 29 mm 22. 5 ft 30 mm Extra Practice Extra Practice 5 cm 21 in. 782 in2 17. Chapter 11 133 m2 6m 30 mm 7m 7m 2,640 mm2 b. What is the experimental probability that there will not be 200 or more northbound cars passing through the intersection on the 1 eleventh day? __ 10 6–7. See p. A16. LESSON 11-3 3 ft 6. Ronald flips a coin and rolls a number cube at the same time. What are all the possible outcomes? How many outcomes are in the sample space? LESSON 10-6 23. The surface area of a cylinder is 49 m2. What is the surface area of a similar cylinder that is larger by a scale factor of 6? 1,764 m2 7. For lunch, Amy can choose from a salad, a taco, a hamburger, or a fish fillet. She can drink lemonade, milk, juice, or water. What are all the possible outcomes? How many outcomes are in the sample space? 2 24. The surface area of a garden is 36 ft . What is the surface area of a similar garden that is smaller by a scale factor of 14? 2.25 ft2 8. A café makes 23 flavors of ice cream. You can get each flavor in a waffle cone, a sugar cone, a cake cone, or a cup. How many outcomes are possible? 92 2 25. The surface area of a hexagonal prism is 65 cm . What is the surface area of a similar prism that is larger by a scale factor of 8? 4,160 cm2 LESSON 11-4 Find the probability of each event. Write your answer as a fraction, as a decimal, and as a percent. 3 26. The volume of a cube is 50 cm . What is the volume of a similar cube that is larger by a scale factor of 7? 17,150 cm3 9. rolling a number less than 5 on a fair number cube _4 or _2 ; 0.67; 66.7% 6 27. An oil drum has volume of 513 cm . What is the volume of a similar oil drum that is smaller by a scale factor of _31_? 19 cm3 EP26 10 20 Extra Practice Extra Practice Extra Practice Extra Practice Chapter 11 LESSON 12-1 11. The experimental probability that it will rain on any given day in Sacramento, California, is about 15%. Out of 365 days (a year), about how many days can residents of Sacramento predict rain? 55 days Solve. Check each answer. 1. 4c 3. m 5. }6} x 6. }3} 24 23 h 14 5 e 2 3 21 13 x 5 54 Extra Practice Solve. 8. 2w Decide whether each set of events is independent or dependent. Explain your answer. 10. 14. Mr. Fernandez’s class contains 14 boys and 16 girls. Mr. Fernandez randomly picks a boy and a girl to represent the class at the school spelling bee. Independent; the sample space of boys is different from the sample space of girls. 15. There are 52 playing cards in a standard card deck. Alex draws a card and holds onto it while Suzi draws a card. Dependent; the outcome of the first draw affects the outcome of the second draw. Find the probability of each set of independent events. 1 16. flipping 2 coins at the same time and getting heads on both coins _, or 0.25, or 25% 4 17. drawing a 3 from 5 cards numbered 1 through 5 and rolling an even 1 , or 0.1, or 10% number on a number cube __ 11 7z 12. 2t 4 7 4w 7 w 3 z 12 z 2 9. 7v 5 v 11 v 1 7 _____ 52 __ 11. 5x 15 x , or 10_2 3 5 5 1 _ 13. 3(t 2) 1 8 t 5.1 ________ 15. 2.9h 2 5t 11 t 6 14. 12a 3 8a 1 a 1 }} 2 16. 4(8 s) 6 2 s 10 4t ______ 17. 10 8 12 3 h 4.7 t 5 106 ___ or 26_1 4 2 18. Erika has received scores of 82, 87, 93, 95, 88, and 90 on math quizzes. What score must Erika get on her next quiz to have an average of 90? 95 LESSON 12-3 Group the terms with variables on one side of the equal sign, and simplify. 19. 6a 10 LESSON 11-7 21. 18. Venus has decided to have a 2-color paint job done on her car. There are 6 paint colors from which to choose. How many combinations of 2 colors are possible? 15 combinations 4a 2j 6 8 a j 4 3 j 3 20. 3d 5 7d 9 d 22. 7 5m 2 m m 24. 2c 13 26. 7d 4 1 5 _ 6 Solve. 19. Philip has 5 different coins. How many combinations of 3 coins can he make from the 5 coins? 10 combinations 23. 7y 9 2y y 2 25. }5}g 9 6 27. 20. A juice bar offers 8 different juices. You and a friend want to each try a different blend. How many different combinations of 2 juices are possible? 22. Roseanne and Rita join Ralph, Randy, and Robert at the movie theater. In how many different ways could they all stand in line? 120 ways 2. 3h e 4. }7} 7 LESSON 12-2 LESSON 11-6 21. In how many different ways can Ralph, Randy, and Robert stand in line at the movie theater? 6 ways 1 m 3 7 22 j 13 7. If you multiply the number of DVDs Sarah has by 6 and then add 5, you get 41. How many DVDs does Sarah have? 6 13. A family is planning a 7-day vacation during July at a city where there is a water park and an amusement park. The city experiences an average of 8 rainy days in July. When it rains, both parks are closed. If the family would like to spend at least 2 days at each park, should they go? Yes; it is likely to rain only 2 days of their vacation. LESSON 11-8 15 c 13 5j EP27 Chapter 12 LESSON 11-5 12. If you roll a number cube 22 times, about how many times do you expect to roll a number less than 4? 11 Extra Practice 3 10. randomly drawing a pink sock out of a drawer of 6 pink, 4 black, 6 3 8 white, and 2 blue socks all of the same size __ ; 0.3; 30% or __ 3 28 combinations 3p 8 1 6 }}g 10 7p g 12 p 15 5 28. 1.2k 5c 8 2.3 11 c d d 0.5k 8 1 }} 2 7.4 k 3 29. Roberta and Stanley are collecting signatures for a petition. So far, Roberta has twice as many signatures as Stanley. If she collects 30 more signatures, she will have 4 times as many signatures as Stanley currently has. How many signatures has Stanley collected? 15 30. Gym members pay $3 per workout with a one time membership fee of $98. Nonmembers pay $10 per workout. How many workouts would both a member and a nonmember have to do to pay the same amount? 14 workouts 23. In how many different ways can 5 students be matched up with 5 mentors? 120 ways EP28 Extra Practice EP26ÐEP29 Extra Practice EP29 Extra Practice Chapter 12 LESSON 12-4 Write an inequality for each situation. 31. The cafeteria could hold no more than 50 people. number of people 32. There were fewer than 20 boats in the marina. number of boats 50 20 Graph each inequality. 33–40. See p. A16. Extra Practice 33. y 2 34. f 3 35. n 1.5 36. x 39. w 0 or w 4 Graph each compound inequality. 37. 1 s 4 38. 1 v 2 5 40. 3.5 y 2 41–44. See p. A16. LESSON 12-5 Solve. Then graph each solution set on a number line. 41. c 6 c 5 1 42. v v 3 4 1 43. w 6 47. p 7 w 1 7 44. a 2 5 a 7 Solve. Check each answer. 45. q 3 5 q 46. m 2 1 m 0 1 p 4 48. z 3 2 3 z 49. By Saturday night, 3 inches of rain had fallen in Happy Valley. The weekend forecast predicted at least 8 inches of rain. How much more rain must fall on Sunday for this forecast to be correct? at least 5 in. 5 LESSON 12-6 Solve. Check each answer. 50. _a5_ 4.5 a 54. 13y 22.5 39 y 51. _v_ 2 2 v 4 x 52. ___ 3.9 x 2 7.8 _c_ 4 53. c 2.3 57. 3s 5 1 56. 7r 56 t 2, or 22 r 8 s 58. The local candy store buys candy in bulk and then sells it by the pound. If the store owner spends $135 on peppermints and then sells them for $3.50 per pound, how many pounds must he sell to make a profit? at least 39 lb LESSON 12-7 55. 2t 3 5 9.2 4.5 1.5 59–67. See p. A16. Solve. Then graph each solution set on a number line. _ 59. _m 3 62. 65. 5 1 1 s ___ 3.5 2u 2 m 60. 7.2x 9 1 s 7 63. 15 u 5 66. _7r_ w ___ 1.5 1 4.8 24 x 4 61. 8 10 w 3 64. 4j 6 67. 5 _m_ 9 0 r 7 5.5h 2 16 j 13 h 2 11 1 , or 5 2 2 17 m 108 68. Jill, Serena, and Erin are trying to earn enough money to rent a beach house for a week. They estimate that it will cost at least $1,650. If Jill has already earned $600, how much must each of the others earn? at least $525 EP30 Extra Practice EP30