Section 1.1 Linear Equations in One Variable 55 Concept 3: Clearing Fractions and Decimals For Exercises 45–56, solve the equations. (See Examples 7–9.) 1 2 45. 46. 47. 48. 49. 50. 51. 52. 53. 0.41n 102 0.751m 22 0.6n 2 0.2x 53.6 x 0.25m 0.5 54. 55. 56. Concept 4: Conditional Equations, Contradictions, and Identities 57. What is a conditional equation? 58. Explain the difference between a contradiction and an identity. For Exercises 59–64, identify the equation as a conditional equation, a contradiction, or an identity.Then give the solution set. (See Example 10.) 59. 4x 1 212x 12 1 60. 3x 6 3x 61. 11x 41x 32 2x 12 62. 63. 64. 7x 8 4x 31x 32 51x 22 2x 4 8x 7x 8 3x 1 7 3 Mixed Exercises For Exercises 65–96, solve the equations. 65. 66. 67. 5b 9 71 3x 18 66 16 10 13x 68. 69. 70. 15 12 9x 10c 3 3 12c 2w 21 6w 7 51x 22 12b 8b 8 13 4b61 4z2 3z53z4 2x 3x 7 71. 72. 73. 74. 75. 76. 1 2 2 3 77. 0.7518x 42 16x 92 78. 14z 32 z 79. 71p 22 4p 3p 14 d 5 d 10 5d 20 7 10 c 2 c 4 3c 8 2x 31x 52 1 15 6.3w 1.5 4.8 3a 9 15 2a 5 5 a 2 10 0 4 3 12q 62 5q 6 6 q 3 0 2y 4 5 5y 13 4 y 2 3x 7 2 3 5x 3 3 6x 5 5 6 1q 22 7 9 q 1 3 2 1 5 1p 52 3 5 p 1 10 y 4 p 1 9 10 y 2 5 2 3 x 1 6 5 12 x 3 2 1 6 x 80. 81. 82. 3 wb 83. 84. 85. 86. 87. 88. 89. 90. 91. 0.5x 0.25 1 3 x 5 4 0.07w 0.061140 w2 0.48x 0.08x 0.121260 x2 90 2 3 x 5 6 x 3 1 2 x 5 2y 9 10 3 2 y 2 3 x 2 6 5x 2 2 5 4 y 3 8 2y 1 2 9 5 8w 8 a3 5 3 4 x 3 a3 1 4 xb 1 3 1x 32 1 6 1 6 433 513 b2 12x 52 2b4 61z 22 6 2b 3z 8 3z
miller_intermediate_algebra_4e_ch1_3
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