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140 Chapter 3 Solving Equations 79. 21 713 q2 80. 10 512 5m2 81. 3 12n 12 82. 13 16s 52 83. 101x 52 312x 92 84. 61y 92 512y 52 85. 112z 12 217z 52 86. 18w 52 31w 152 87. 31w 32 14w y2 3y 88. 21s 62 18s t2 6t 89. 20a 41b 3a2 5b 90. 16p 312p q2 7q 91. 6 13m n2 21m 82 5n 92. 12 15u v2 41u 62 2v 93. 15 21w 42 12w 5z22 7z2 94. 7 312a 52 16a 8b22 2b2 Mixed Exercises 95. Demonstrate the commutative property of addition by evaluating the expressions for x 3 and y 9. a. x y b. y x 96. Demonstrate the commutative property of addition by evaluating the expressions for m 12 and n 5. a. m n b. n m 97. Demonstrate the associative property of addition by evaluating the expressions for x 7, y 2, and z 10. a. 1x y2 z b. x 1y z2 98. Demonstrate the associative property of addition by evaluating the expressions for a 4, b 6, and c 18. a. 1a b2 c b. a 1b c2 99. Demonstrate the commutative property of multiplication by evaluating the expressions for x 9 and y 5. a. x y b. y x 100. Demonstrate the commutative property of multiplication by evaluating the expressions for c 12 and d 4. a. c d b. d c 101. Demonstrate the associative property of multiplication by evaluating the expressions for x 2, y 6, and z 3. a. 1x y2 z b. x 1y z2 102. Demonstrate the associative property of multiplication by evaluating the expressions for b 4, c 2, and d 5. a. 1b c2 d b. b 1c d2 Section 3.2 Addition and Subtraction Properties of Equality 1. Definition of a Linear Equation in One Variable An equation is a statement that indicates that two quantities are equal. The following are equations. x 7 z 3 8 6p 18 All equations have an equal sign. Furthermore, notice that the equal sign separates the equation into two parts, the left-hand side and the right-hand side. A solution to an equation is a value of the variable that makes the equation a true statement. Substituting a solution to an equation for the variable makes the righthand side equal to the left-hand side. Concepts 1. Definition of a Linear Equation in One Variable 2. Addition and Subtraction Properties of Equality


miller_prealgebra_2e_ch1_3
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