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ISBN-10: 157685552X

ISBN-13: 9781576855522

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Extra info for 501 Algebra Questions, 2nd edition

Sample text

Use the associative property for addition. (6m + 15m) + (3mn + +2mn) + (−6n + −18n) Combine like terms using addition rules for signed numbers. (21m) + (5mn) + (−24n) Adding a negative term is the same as subtracting a positive term. 21m + 5mn − 24n 73. Change subtraction to addition and the sign of the terms that follow. Use the distributive property of multiplication on the first term. Use the rules for multiplying signed terms. Use the distributive property of multiplication on the third term.

6(m − 3n) + 3m(n + 5) − 2n(3 − m) 73. 9(2x − t) + 23xt + x(−4 + 5t) 74. 4{2a(a + 3) + 6(4 − a)} + 5a2 75. 8(2a − b − 3c) + 3(2a − b) − 4(6 − b) 27 Team-LRN 501 Algebra Questions Answers Numerical expressions in parentheses like this [ ] are operations performed on only part of the original expression. The operations performed within these symbols are intended to show how to evaluate the various terms that make up the entire expression. Expressions with parentheses that look like this ( ) contain either numerical substitutions or expressions that are part of a numerical expression.

Substitute the results into the expression. The simplified algebraic expression is: 29 Team-LRN [2(x + y) = 2 · x + 2 · y] [2x + 2y] (4x + 8y) + (2x + 2y) (4x + 2x + 8y + 2y (4x + 2x) + (8y + 2y) [4x + 2x = 6x] [8y + 2y = 10y] (6x) + (10y) 6x + 10y 501 Algebra Questions 57. Use the distributive property of multiplication on the first term. [2(3a + 4b) = 2 · 3a + 2 · 4b] [6a + 8b] Use the distributive property of multiplication on the second term. [7(a − b) = 7 · a − 7 · b] [7a − 7b] (6a + 8b) + (7a − 7b) 6a + 8b + 7a − 7b Substitute the results into the expression.

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