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Name Class Date Extra Practice Chapter 1 Lesson 1-1 Write an algebraic expression for each word phrase. r 1. 3 fewer than y y 2 3 2. the quotient of r and 12 12 3. 13 more than the product of 2 and j 2j 1 13 4. 8 less than the quotient of 4 and p 4 p Write a word phrase for each algebraic expression. 28 6 5. 2t 2 9 6. 7 1 7. 0.5 ( y 1 3.3) the product k 7 more than the of 0.5 and the quantity of the 9 less than the product quotient of 6 and k sum of y and 3.3 of 2 and t 8. The cost of a telephone call is 75 cents plus 25 cents times the number of minutes. Write an algebraic expression that models the cost of a telephone call that lasts t minutes. 0.75 1 0.25t Lesson 1-2 Simplify each expression. 9. 24 16 10. 52 25 11. 4 1 3 ? 8 28 12. 2 ? 32 2 7 11 13. 42 1 8 4 2 20 14. 9 2 (3 1 1)2 27 15. 2 1 6 ? 8 4 4 14 16. 5 1 4 ? (8 2 6)2 21 Use the formula for the area of a trapezoid A 5 ha b1 1 b2 b , where A is area, 2 b1 and b2 are the length of the bases and h is the height, to answer each question. 17. What is the area of a trapezoidal pool with a height of 15 yd and bases of 14 yd and 26 yd? 300 yd2 18. How many square feet of grass are there on a trapezoidal field with a height of 75 ft and bases of 125 ft and 81 ft? 7725 ft2 Lesson 1-3 Find the square roots of each number. 19. 25 45 25 21. 36 456 4 2 20. 9 43 22. 0.81 40.9 Estimate each square root. Round to the nearest integer. 23. "23 5 24. "85 9 25. "231 15 27. "77 irrational numbers 2 natural numbers, 28. 4 29. 3 rational whole numbers, numbers integers, rational numbers 26. "97 10 Name the subset(s) of the real numbers to which each number belongs. whole numbers, 30. 0 integers, rational numbers Prentice Hall Algebra 1 • Extra Practice Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 1 Name Class Date Extra Practice (continued) Chapter 1 Order the numbers in each exercise from least to greatest. 25 25 31. "33, 4 , 4.8, "18 "18, 4.8, "33, 4 69 69 32. 7 , "69, 29, "79 29, "69, "79, 7 Is each statement true or false? If the statement is false, give a counterexample. False; answers may vary. 33. The product of a rational number and an integer is not an integer. Sample: 3 ? 2 5 6. 1 2 34. The quotient of two integers is an integer. False; answers may vary. Sample: 2 4 3 5 . 3 35. The sum of two rational numbers is a rational number. true Lesson 1-4 Simplify each expression. Justify each step. 37. f4 1 (24)gy f4 1 (24)gy 5 0 ? y 5 0 36. 9 1 2p 1 3 9 1 2p 1 3 5 2p 1 9 1 3 Comm. Prop. of Add. 5 2p 1 (9 1 3) Assoc. Prop. of Add. 5 2p 1 12 Add. 3 18 38. 3 1 18 Q 3 R 3 18 Q3R 3 1 18 5 3 1 1 5 4 Inv. Prop. of Add. Mult. Prop. of Zero 39. 8 ? (2y) 8 ? (2y) 5 (8 ? 2) ? y Assoc. Prop. of Mult. 5 16y Multiply. Inv. Prop. of Mult. Add. Identify the property of real numbers shown in each situation. 40. The cost of one item sold for $14.50 is $14.50. Ident. Prop. of Mult. 41. You can find the cost of fish by multiplying the price per pound by the amount or by multiplying the amount by the price per pound. Comm. Prop. of Mult. 42. To find total time spent doing homework in a week, you add the amount from each day. You find that the total is the same no matter what order you use. Comm. Prop. of Add. Use deductive reasoning to tell whether each statement is true or false. If it is false, give a counterexample. 43. For all real numbers a and b, a 2 b 5 b 2 a. false; sample: 5 2 2 2 2 2 5 44. For all real numbers x, x ? 0 5 0. true Prentice Hall Algebra 1 • Extra Practice Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 2 Name Class Date Extra Practice (continued) Chapter 1 Lessons 1-5 and 1-6 Simplify each expression. 45. 22 1 (233) 211 46. 45 1 (254) 29 32 4 4 47. 23 2 5 215 4 4 48. 13 2 13 49. 2(2(11 2 22))211 50. (22)(44) 288 51. (23)2 9 52. 232 29 32 54. 3 98 2 3 22 53. Q 2 R Q 233 R 21 252 21 (25)2 27 59. % 3 3 0 56. 81 4 (29) 29 55. 42 57. 2 16 58. 2"25 25 60. 4"121 5 25 61. Your goal is to save $50. So far, you have saved $34. How much more do you need to save? $16 411 62. A company buys 1500 small items from a manufacturer for $.02 apiece. What is the total cos of the items? $30 63. Your parents drove the family car 462 miles on 14 gallons of gas. On average, how many miles did the car travel on each gallon of gas? 33 mi Lesson 1-7 Use the Distributive Property to simplify each expression. 4 65. 212 Q 3 x 2 1 R 216x 1 12 66. 5 1 6(m 1 1) 6m 1 11 64. 24(a 1 3) 24a 2 12 1 67. 5(2 2 j) 1 (2j 2 3)7 2 3j 68. 3 (12 2 6r) 4 2 2r 1 2 69. 6 Q 2 2 3 y R 3 2 4y 70. Cereal is on sale for $3.95 per box. What is the cost of seven boxes? Use mental math. $27.65 Lesson 1-8 Tell whether each equation is true, false, or open. Explain. 71. 6 2 t 5 12 open, because there is a variable 72. 7 1 (25) 5 12 false, because 7 1 (25) 5 2 and 2 2 12 73. 31 2 15 5 22 1 (23)2 true, because both expressions equal 16 Tell whether the given number is a solution of each equation. 74. 9 5 2a 1 3; 3 yes 75. 5n 2 (230) 5 5; 7 no 76. 4.4r 2 2.8 5 1.6; 1 yes 77. A plumber charges $65 per hour to fix a leak. What is an equation that relates the total cost of a leak repair c to the number of hours h it takes the plumber to fix the leak? c 5 65h Prentice Hall Algebra 1 • Extra Practice Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 3 Name Class Date Pizzas (p) Dollars (d) 1 15 2 27 3 39 4 51 Extra Practice (continued) Chapter 1 Lesson 1-9 Tell whether the given ordered pair is a solution of the equation. 4 6 79. y 5 x 1 5; a 5, 2b yes 78. y 5 2x 2 2; (1, 23) yes 80. y 5 3(5 2 x); (3, 6) yes 81. A pizzeria charges $12 for a large pizza, plus a $3 delivery fee. Use a table, an equation, and a graph to describe the relationship between the number of pizzas delivered and the total cost. c 5 12p 1 3 Dollars (d) 1 15 2 27 3 39 4 51 Students Pizzas (p) Dollars vs. Time 56 d 48 40 32 24 16 8 p 0 1 2 3 4 5 Pizzas Use the table to draw a graph and answer the question. 82. The table shows the total cost of Apple Bushels Bushels, x $35 Dollars, y 1 5 2 10 3 15 40 Dollars apples at a roadside stand. What is the cost of 7 bushels of apples? Dollars vs. Bushels 20 4 y 30 20 10 x 0 2 4 6 8 Bushels 83. a.Extend the table below to find the amount of time it will take you to make 11 and 13 ski runs. 5.5 h, 6.5 h Skiing Hours, h Ski Runs, r 0.5 1 1 2 1.5 3 2 2.5 5 4 6 Ski Runs b.Draw a graph and write an equation to show the relationship between the number of runs and hours. h 5 0.5 r 3 6 r 4 2 0 h 1 2 Hours Prentice Hall Algebra 1 • Extra Practice Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 4 3