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PRACTICE AND PROBLEM SOLVING, PAGES 9–11 17. the product of 5 and p ; 5 groups of p 18. 4 decreased by y ; the difference of 4 and y 19. the sum of 3 and x ; 3 increased by x 20. the product of 3 and y ; 3 times y 21. negative 3 times s ; the product of negative 3 and s
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PRACTICE AND PROBLEM SOLVING, PAGES 9–11 17. the product of 5 and p; 5 groups of p 18. 4 decreased by y; the difference of 4 and y 19. the sum of 3 and x; 3 increased by x 20. the product of 3 and y; 3 times y 21. negative 3 times s; the product of negative 3 and s 22. the quotient of r and 5; one-fifth r 23. 14 decreased by t; the difference of 14 and t 24. the sum of x and 0.5; x increased by 0.5 25. t + 20 26. 8n 27. 6 - 5 = 1 28. 5 + 3 = 8 29. 6 ÷ 3 = 2 30. 5 · 6 = 30 31a. h - 40 b. h - 40 (40) - 40 = 0 (44) - 40 = 0 (48) - 40 = 0 (52) - 40 = 0
32. To evaluate an expression is to find its value. To do this, substitute values for the variables and perform all the indicated operations. 33. 2x; possible answer: Jim has twice as many aunts as Carly, who has x aunts. 34. 17 - b; possible answer: Sarah started with 17 apples, but lost b of them. 35. y + 10; possible answer; April had y CDs and then got 10 more. 36a. air pressure b. depth below the water in feet. c. 14.7 + 0.445d = 14.7 + 0.445(8) = 14.7 + 3.56 = 18.26 psi 38a. P = 2+ 2w b. P = 2+ 2w = 2(14) + 2(8) = 28 + 16 = 44 cm c. A = · w or w d. A = w = (8)(14) = 112 cm 2 40. x 10x 1 10(1) = 10 5 10(5) = 50 10 10(10) = 100 15 10(15) = 150 44. Both algebraic and numerical expressions contain numbers and operations, but algebraic expressions also contain variables. TEST PREP, PAGE 11 48. C; b fever than 3. 49. F; 12 - 5 50. B; Sarah’s has driven the difference of 25 and x. CHALLENGE AND EXTEND, PAGE 11 51. 2ab = 2(6)(3)= 36 52. 2x + y = 2(4) + (5) = 13
SPIRAL REVIEW, PAGE 11 55. 180° - (45° + 90°) = 45° 56. 180° - (120° + 40°) = 40° 57. 180° - (30° + 60°) = 90° 58. 25% = 25/100 = 1/4 59. 50% = 50/100 = 1/2 60. 75% = 75/100= 3/4 61. 100% = 100/100= 1 62. add 8 to the previous term; 36, 44, 52 63. multiply the previous term by 3; 729, 2187, 6561 64. Add 1 to the previous term, then add 2, and then add 3, and so on; 17, 23, 30.