106 Chapter 1 The Set of Real Numbers Clearing Parentheses and Combining Like Terms Example 12 Simplify by clearing parentheses and combining like terms. Solution: 7a 433a 21a 624 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. 7a 433a 21a 624 4 7a 433a 2a 124 4 7a 43a 124 4 7a 4a 48 4 11a 44 Combine like terms Skill Practice Clear the parentheses and combine like terms. 28. 6 532y 412y 524 Classroom Example: p. 109, Exercise 124 Avoiding Mistakes First clear the innermost parentheses and combine like terms within the brackets. Then use the distributive property to clear the brackets. Answer 28. 50y 94 Section 1.6 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 12y ab 2x 18, the terms 12y , ab , and 2x 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. Review Exercises For Exercises 2–14, perform the indicated operations. 2. 3. 4. 5. 6. 7. 8. 9. 162 14 8 122 9 7 13 152 8 1 1192 18 5 4 b 1 3 b a 4 b 52718 142 9 or 4.5 2 10. 11. 12. 13. 4 5b 14. 25 a 20 11 12b a 11 15 a 4 45 a 3 25 21 6 7 7 8 1 2 3 8 27 3 0 0 01152 0 5 27 5 or 5.4 For additional exercises, see Classroom Activities 1.6A–1.6D in the Student’s Resource Manual at www.mhhe.com/moh. constant coefficient 1 1 like Writing Translating Expression Geometry Scientific Calculator Video
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