152 Chapter 3 Solving Equations Section 3.3 Practice Exercises Study Skills Exercise One way to know that you really understand a concept is to explain it to someone else. In your own words, explain the circumstances in which you would apply the multiplication property of equality or the division property of equality. Vocabulary and Key Concepts 1. a. The property of equality tells us that multiplying both sides of an equation by the same nonzero quantity results in an equivalent equation. b. The property of equality tells us that dividing both sides of an equation by the same nonzero quantity results in an equivalent equation. Review Exercises 2. Determine whether 5 is a solution to the equation. a. 2x 3 13 b. 2x 10 For Exercises 3–6, simplify the expression. 3. 3x 5y 9x y 4. 4ab 2b 3ab b 5. 31m 2n2 1m 4n2 6. 215w z2 13w 4z2 For Exercises 710, solve the equation. 7. p 12 33 8. 8 10 k 9. 24 z 12 10. 4 w 22 Concept 1: Multiplication and Division Properties of Equality For Exercises 11–34, solve the equation using the multiplication or division properties of equality. (See Examples 1 and 2.) 11. 14b 42 12. 6p 12 13. 8k 56 14. 5y 25 15. 16 8z 16. 120 10p 17. t 13 18. h 17 19. 5 x 20. 30 a 21. 22. 23. 24. 25. 26. 27. 28 7t 28. 33 3r 29. 5m 0 30. 6q 0 t 8 x 7 31. 0 32. 0 33. 6 z 34. 9 n Concept 2: Comparing the Properties of Equality For Exercises 35–38, choose the appropriate property of equality to use to solve the equation. 35. 7x 14 division property or addition property? 36. x 7 14 multiplication property or subtraction property? 9 w 6 4 p 7 v 10 4 u 2 15 a 4 12 b 7 3
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