17. 3x 5 + 1 3 = 2x 15 18. 4y 7 + 1 2 = 5y 14 19. 2 - x 6 = x 3 20. 4 - y 2 = y 8 21. 2 9 a - 3 18 = 5 18 a + 4 9 22. 7 3 y + 5 6 = 1 6 y - 2 3 23. -3 = 9 2 + b 24. 5=- 4 7 + b 25. 3 2 (x + 4) = 1 3 (x + 9) 26. - 6 7 (x - 14) = 2 3 (x + 6) 27. x + 4 2 - 5 = x - 1 6 28. x - 2 3 + 1 = x + 4 8 Solve each equation by fi rst clearing decimals. (See Objective 2.) 29. x + 0.3x = 65 30. y + 0.1y = 11.88 31. a - 0.25a = 48.75 32. x - 0.95x = 6.25 33. 0.06x + 0.05(4000 - x) = 235 34. 0.03x + 0.045(10,000 - x) = 390 35. 0.6x + 0.25(10) = 0.5(x + 10) 36. 0.15x + 0.75(40) = 0.3(x + 40) Solve each equation. If the equation is a contradiction, write the solution as ∅. If the equation is an identity, write the solution as . (See Objectives 3 and 4.) 37. x - 7 = x + 4 38. y + 2 = y - 1 39. 2x + 3 = 2x - 3 40. 8a + 2 = 8a - 2 41. 3(2a + 5) = 2(3a - 4) 42. 5(x + 2) = 3x + 10 + 2x 43. 4x + 1 = 4(x - 2) + 9 44. 2 - 5x = 7(1 - x) + 2x - 5 45. -2( y - 7) - ( y + 3) = -3( y - 4) - 1 46. -7(2 - a) - (a + 3) = -3(5 - 2a) - 4 47. 3(2a - 1) - (a + 4) = 5(a - 6) - 8 48. 12( y - 4) + 3 - y = 5(2y - 9) + y Mix ’Em Up! Solve each equation. If the equation is a contradiction, write the solution as ∅. If the equation is an identity, write the solution as . 49. 2x + 3 = 3 50. 6x - 7 = -7 51. 3( y + 1) - ( y - 4) = 5( y + 2) 52. 4(x + 6) - (3x - 2) = 2(x + 3) 53. 4x 5 - 3 = x 10 54. 7 3 y + 1 = 5 9 y 55. x + 0.8x = 900 56. x - 0.30x = 332.5 57. 3 4 b + 7 10 = 2 5 b - 1 4 58. 5 6 c - 2 3 = 1 2 c - 5 12 59. 0.021x + 0.045(2400 - x) = 91.2 60. 0.016x + 0.02(8800 - x) = 158.4 61. y - 2 7 - 3 = y - 11 4 62. y + 5 6 - 2 = y - 3 10 63. 0.046x + 0.05(6900 - x) = 339.4 64. 0.066x + 0.08(9300 - x) = 727.2 65. 2 3 (x - 1) = 1 6 (4x - 4) 66. 1 4 (2x + 3) = 1 2 (x - 3) 67. 0.81x + 2.5(-1.06) = 0.2(x + 2) 68. 0.31x + 0.5(-6.54) = 0.3(x - 9) 69. 3(a + 4) + 2a = 5(a + 2) 70. 7(2x - 3) - 5x = 3(3x - 7) 71. 3 2 (x - 4) = 1 4 (5x + 1) 72. 7 12 (3x + 5) = 5 6 (x - 2) 73. 0.26x + 0.8(73.5) = 0.75x 74. 0.66x + 2.5(-6.448) = 0.2(x - 7) 75. 3x - 8 6 - 1 = x + 3 4 76. 2x - 7 10 + 1 = x + 3 2 You Be the Teacher! Correct each student’s errors, if any. 77. Solve: x 5 = 1 2 - x 3 Susan’s work: x 5 = 1 2 - x 3 . LCD = 30 30a x 5 b = 30a1 2 - x 3 b 30x 5 = 30 2 - x 3 6x = 15 - x 3 3(6x) = 3a15 - x 3 b 18x = 45 - 3x 3 18x + x = 45 - x + x 19x = 45 19x 19 = 45 19 x = 45 19 134 Chapter 2 Linear Equations and Inequalities in One Variable
hendricks_beginning_algebra_1e_ch1_3
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