Section 2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality 111 5 8 66. The difference of a number and is . 13 Mixed Exercises For Exercises 67–90, solve each equation using the appropriate property of equality. 2 3 67. a. x 9 1 68. a. k 2 4 69. a. h 8 70. a. b. b. b. b. 71. 72. 73. 74. k 16 32 18 9 t 75. 76. 77. 78. 16k 32 18 9t 7 4q 3s 10 1 3 79. 4 q 7 80. s 3 10 81. d 12 82. 1 4 1 2 83. 4 84. p 85. 86. 3 1.2y 4.8 4.3w 8.6 z 87. 88. 89. 90. 4.8 1.2 y 8.6 w 4.3 0.0034 y 0.405 0.98 m 1.0034 For Exercises 91–98, determine if the equation is a linear equation in one variable. Answer yes or no. 91. 4p 5 0 92. 3x 5y 0 93. 4 2a2 5 94. 8t 7 x 4 9 2x3 y 0 19b 3 13 x 19 95. 96. 97. 98. Expanding Your Skills For Exercises 99–104, construct an equation with the given solution set. Answers will vary. 99. 100. 101. 566 526 546 5106 506 516 102. 103. 104. For Exercises 105–108, simplify by collecting the like terms. Then solve the equation. 105. 5x 4x 7 8 2 106. 2 3 2y 1 y 107. 6p 3p 15 6 108. 12 20 2t 2t 2 5 m 10 d 4 5 r 3 12 3 4 p 15 2 3 9x 1 2k 4 h 8 3 4 p 15 63. The quotient of a number and twelve is one-third. 64. Eighteen is equal to the quotient of a number and two. 65. The sum of a number and is 13. 8 2 3
miller_beginning_intermediate_algebra_4e_ch1_3
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