108 Chapter 1 The Set of Real Numbers For Exercises 71–79, match the statement with the property that describes it. 71. 72. 73. 74. 75. 76. 77. 78. 79. 1 6 1 a. Commutative property of addition 6 b 714 92 17 429 f 213 k2 6 2k i 3 7 7 3 c 5 152 0 g 18 1 18 e 13 72 19 3 17 192 d 23 6 6 23 a 3 0 3 h b. Inverse property of multiplication c. Commutative property of multiplication d. Associative property of addition e. Identity property of multiplication f. Associative property of multiplication g. Inverse property of addition h. Identity property of addition i. Distributive property of multiplication over addition Concept 5: Simplifying Algebraic Expressions For Exercises 80–83, for each expression list the terms and their coefficients. (See Example 7.) 80. 3xy 6x2 y 17 81. 2x y 18xy 5 Term Coefficient 3xy 3 2 6x 6 y 1 17 17 Term Coefficient 2x 2 y 1 18xy 18 5 5 82. x4 10xy 12 y 83. x 8y 9x2y 3 Term Coefficient 1 10xy 12 12 y 1 10 x4 Term Coefficient x 1 8y 8 9x2y 9 3 3 12x2 84. Explain why 12x and are not like terms. 85. Explain why 3x and 3xy are not like terms. The exponents on x are different. The variable factors are different. 113z p 86. Explain why 7z and are like terms. 87. Explain why x and 8x are like terms. The variables are the same and raised to the same power. The variables are the same and raised to the same power. 88. Write three different like terms. 89. Write three terms that are not like. For example: 5y, 2y, y For example: 5y, 2x, 6 For Exercises 90–98, simplify by combining like terms. (See Examples 8 and 9.) 90. 91. 92. 9x 7x2 12 5k 10k 12k 16 7 4p 2p 8p 15 3 x 14x2 17k 23 2p 12 7x2 21x 93. 2y2 8y y 5y2 3y2 94. 4ab2 2a2b 6ab2 5 3a2b 2 6y2 7y 2ab2 5a2b 3 Writing Translating Expression Geometry Scientific Calculator Video
miller_introductory_algebra_3e_ch1_3
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