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By A. J. Lohwater
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Example text
A. twice a number, increased by five b. qxd 14/10/2008 12:08 PM Page 14 EPG 204:MHDQ069:mhcob%0:cob2chR: College Algebra— 14 R-14 CHAPTER R A Review of Basic Concepts and Skills c. ten less than triple the payment d. two hundred fifty feet more than double the length Solution ᮣ a. Let n represent the number. Then 2n represents twice the number, and 2n ϩ 5 represents twice a number, increased by five. b. Let W represent the width. Then 3W represents three times the width, and 3W Ϫ 6 represents six less than three times the width.
45 Ϫ 1Ϫ542 Determine which expressions are equal to zero and which are undefined. Justify your responses by writing the related multiplication. 60. 0 Ϭ 12 0 7 Without computing the actual answer, state whether the result will be positive or negative. Be careful to note 456 ϩ 74. 9034 1Ϫ12 2 76. 118 ϩ 1Ϫ34 2 77. 1Ϫ23 2 1358 2 78. 1Ϫ821214 2 79. 11221Ϫ32102 80. 1Ϫ121021Ϫ52 82. 75 Ϭ 1Ϫ152 81. Ϫ60 Ϭ 12 83. 4 5 Ϭ 1Ϫ82 84. Ϫ15 Ϭ 12 85. Ϫ23 Ϭ 16 21 86. Ϫ34 Ϭ 78 Evaluate without a calculator, using the order of operations.
Simplify algebraic expressions EXAMPLE 1 (1) 3 ᮣ Identifying Terms and Coefficients State the number of terms in each expression as given, then identify the coefficient of each term. xϩ3 Ϫ 2x a. 2x Ϫ 5y b. c. Ϫ1x Ϫ 122 d. Ϫ2x2 Ϫ x ϩ 5 7 Solution ᮣ Rewritten: Number of terms: Coefficient(s): A. You’ve just reviewed how to identify terms, coefficients, and expressions a. 2x ϩ 1Ϫ5y2 b. 17 1x ϩ 32 ϩ 1Ϫ2x2 c. Ϫ11x Ϫ 122 d. Ϫ2x2 ϩ 1Ϫ1x2 ϩ 5 two 2 and Ϫ5 two 1 7 and Ϫ2 one three Ϫ1 Ϫ2, Ϫ1, and 5 Now try Exercises 7 through 14 ᮣ B.