64 Chapter 2 Linear Equations and Inequalities in One Variable 73. 0.03(x - 6) + 0.02(x - 4) = 5.24 74. 0.38x + 0.42(x + 7.2) = 15.6 Solve each linear equation and check the answer. If there are infi nitely many solutions, then write for the answer. (See Objectives 4 and 6.) 75. 3(x + 1) + 10 = 13 + 3x 76. 4(x + 5) + 2 = 22 + 4x 77. 6(a - 2) - 5a = a - 12 78. 5(a - 3) - 4a = a - 15 79. (3 - x) + 9 - 5x = 17 - (10x - 7) 80. 5(6 - x) + 1 - 3x = 12 - 2(x - 8) 81. 0.25(8y - 6) = 2( y - 0.75) 82. 0.24(5y - 15) = 0.2(6y - 18) Mix ’Em Up! Determine if the given value is a solution of the equation. 83. 3x - 2(x + 5) = x - 4; 3 84. 5x - 3(x - 1) = x + 6; 5 85. 4x + 3 - 8x = 3 - 4x; 1 2 86. 6x - 5 - 10x=-5 - 4x; 1 2 87. 4x - 5 7 = 1; 3 88. 6x - 1 10 = 1 2 ; 1 Solve each equation and check the answer. 89. 2x + 7 = 5 90. 5x + 15=-10 6x - 15 91. 3 =-2 92. 12x - 15 3 =-4 93. 12 - 3y = 5 94. 2 - 10y = 6 95. 6(x - 1) - 3(1 - x) = 9x - 7 96. 2(x - 9) - 3(2 - x) = 5x + 18 97. n 4 =-5 98. t 5 =-10 99. 6(2x + 10) - 3(x - 1) = 2x + 7 100. 4(3x - 5) - 2(x + 5) = 4x - 6 101. 1 - 3x 5 = 12 102. 2 - 4x 3 = 7 103. 4x + 5(1 - 2x) = 5 - 6x 104. 6x + 3(2 - 4x) = 6 - 6x 105. 23 - d = 15.4 106. 30 - d = 12.1 107. 2.5 = x + 8.6 108. 4.5 = x - 11.7 109. m + 2 3 = 3 110. m - 3 4 = 1 111. 3y 2 + 1 3 = 5 2 112. 4y 3 - 1 4 = 5 3 113. 6x - 1 6 = x - 1 114. 5x - 3 5 = x - 3 115. 12 - 4x = 3(7 - 2x) + 2x - 9 116. 1 - 3x = 5(6 - 3x) + 12x - 29 You Be the Teacher! Correct each student’s errors, if any. 117. Solve 4d 3 - 4 = 2 5 . Brandi’s work: 4d 3 - 4 = 2 5 15a4d 3 b - 4 = 15a2 5 b 20d - 4 = 6 20d = 10 d = 1 2 118. Solve 5m 3 - 1 = 4 7 . Naomi’s work: 5m 3 - 1 = 4 7 35m - 1 = 12 35m = 13 m = 13 35 119. Solve 0.75(2x - 4) + 0.3x = 7.8. Ruthann’s work: 0.75(2x - 4) + 0.3x = 7.8 100(0.75(2x - 4)) + 100(0.3x) = 100(7.8) 75(200x - 400) + 30x = 78 15,000x - 30,000 + 30x = 78 15,030x = 30,078 x = 30,078 15,030 x ≈ 2 120. Solve 0.45(6 - 2x) - 0.2x = 1249. Benjamin’s work: 0.45(6 - 2x) - 0.2x = 1249 100(0.45(6 - 2x) - 100(0.2x) = 1249 45(6- 2x) - 20x = 1249 270- 90x - 20x = 1249 -110x = 979 x=- 979 110 x=-8.9
hendricks_intermediate_algebra_1e_ch1_3
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