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1.1 EXERCISES 25. 3 58. 1 5 X = 10.379 6.72 26. 2 59. (x + 3.25)2 = (x - 4.1)2 Solve each equation. Identify

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1.1 EXERCISES 25. 3 58. 1 5 X = 10.379 6.72 26. 2 59. (x + 3.25)2 = (x - 4.1)2 Solve each equation. Identify each equation as an identity, an 60. 0.25(2x - 1.6)2 = (x - 0.9)2 inconsistent equation, or a conditional equation. 61. (2.3 x 10')x + 8.9 X 105 = 1.63 X 104 27. 3(x - 6) = 3x - 18 28. 2a + 3a = 6a 62. (-3.4 X 10 9)x + 3.45 X 10-8 = 1.63 x 104 29. 2x + 3x = 4x 30. 4(y - 1) = 4y - 4 Solve each absolute value equation. 31. 2(x + 3) = 3(x - 1) 32. 2(x + 1) = 3x + 2 63. |x| = 8 64. |x| = 2.6 33. 3(x - 6) = 3x + 18 34. 2x + 3x = 5x + 1 65. |x - 41 = 8 66. |x - 51 = 3.6 3x 35. 36. x( x + 2 )_ 67. |x - 61 = 0 68. |x - 71 = 0 x + 2 69. |x + 81 = -3 70. |x + 91 = -6 Solve each equation involving rational expressions. Identify each equation as an identity, an inconsistent equation, or a conditional 71. |2x - 31 = 7 72. 3x + 41 = 12 equation. 73. - x - 91 = 16 74. ~ |x + 41 = 8 37. w - 1 2w - 2 2w - 2 75. 2 |x + 5 - 10 = 0 76. 6 - 4/x + 31 = -2 9 38. X - 3 3x 77. 8 3x - 21 = 0 78. 5 6 - 3x| = 0 17 39 40. 79. 2 x| + 7 = 6 80. 5 + 3/x - 4 = 0 X 3x 2x 6x 5 x 4x 3x 60 Solve each equation. + 2 5 5 41. 42. Z - - 3 x - - 4 x -4 81. x - 0.05x = 190 82. x + 0.1x = 121 9 83. 0.1x - 0.05(x - 20) = 1.2 4 43. 44. x - 3 x+ 3 x-1 x+1 x2 - 84. 0.03x - 0.2 = 0.2(x + 0.03) 6 2y X 6 45. 4 + 46. -3 =1 85. (x + 2) 2 = x2 + 4 86. (x - 3)2 = x2 -9 - 3 y - 3 x +6 x + 6 87. (2x - 3) 2 = (2x + 5)2 47. -+4 = - 48. 3x - 5 = - 11 1 + 3 1+ 3 x +1 x +1 88. (3x - 4)2 + (4x + 1)2 = (5x + 2)2 Use a calculator to help you solve each equation. Round each + 1=- (x- 6) approximate answer to three decimal places. 2 6 ( x + 3 ) = - (3 - x ) 49. 0.27x - 3.9 = 0.48x + 0.29 91. y - 3 Ly. =3 _ y+1 92. y - 3 y - 4 - = 5 2 5 2 50. x - 2.4 = 0.08x + 3.5 51. 0.06(x - 3.78) = 1.95 93. 5 + 7/x+ 61 = 19 94. 9 - 2x - 31 = 6 52. 0.86(3.7 - 2.3x) = 4.9 95. 9 - 4 |2x - 31 = 9 53. 2a + 1 = -V17 54. 3c + 4 = V38 96. -7 - 13x + 11 = 13x + 11 - 7 0.001 55. : 3 56. 1 + 0.001 - = 0 97. 8 - 5/5x + 1| = 12 y - 0.333 1 - 1 98. 5 17 - 3x| + 2 = 417 - 3x/ - 1 57. X 0.376 0.135 99. 3 4 7x - 2 x - 2 x+2 x2 - 4

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