84 Chapter 1 The Set of Real Numbers b. Notice that a factor of 1 is distributed through each parentheses. Apply the distributive property. Arrange like terms together. Combine like terms. 14s 6t2 13t 5s2 2s 114s 6t2 113t 5s2 2s 4s 6t 3t 5s 2s 4s 5s 2s 6t 3t 11s 3t Skill Practice Clear the parentheses and combine like terms. 21. 22. 41x 2y2 12x y2 5x 1 3 13x 92 Clearing Parentheses and Combining Like Terms 1 2 18x 42 Example 12 Simplify by clearing parentheses and combining like terms. Solution: 7a 433a 21a 62 4 4 Apply the distributive property to clear the innermost parentheses. Simplify within brackets by combining like terms. Apply the distributive property to clear the brackets. Combine like terms. 7a 433a 21a 62 4 4 7a 433a 2a 124 4 7a 43a 124 4 7a 4a 48 4 11a 44 Skill Practice Clear the parentheses and combine like terms. 23. 6 532y 412y 52 4 Avoiding Mistakes First clear the innermost parentheses and combine like terms within the brackets. Then use the distributive property to clear the brackets. Answers 21. 22. 23. 50y 94 5x 1 11x 7y Section 1.7 Practice Exercises Study Skills Exercise Write down the page number(s) for the Chapter Summary for this chapter. Describe one way in which you can use the Summary found at the end of each chapter. Vocabulary and Key Concepts 1. a. Given the expression the terms , , and are variable terms, whereas 18 is a term. b. The constant factor in a term is called the . c. Given the expression x, the value of the coefficient is , and the exponent is . d. Terms that have the same variables, with corresponding variables raised to the same powers, are called terms. 12y ab 2x 18, 12y ab 2x
miller_beginning_intermediate_algebra_4e_ch1_3
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