19. 20. 7c 3c 8 28 5w 2 21. 22. 23. 24. 3p 7 5p 1 4t 6 12t 18 4a 9 31a 32 312c 5221c82 25. 26. 27. 28. 7b 31b 12 3 21b 82 2 118 x2 21x 12 41x 22 8 29. Explain the difference between an equation that is a contradiction and an equation that is an identity. For Exercises 30–35, label each equation as a conditional equation, a contradiction, or an identity. 30. x 3 3 x 31. 3x 19 2x 1 32. 5x 6 5x 28 33. 2x 8 21x 42 34. 8x 9 81x 92 35. 4x 4 3x 2 Section 2.3 For Exercises 36–53, solve each equation. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 17.3 2.7q 10.55 4.9z 4.6 3.2z 2.2 2 7 5.74a 9.28 2.24a 5.42 1w 42 47. 62.84t 123.66 412.36 2.4t2 1 2 1 4 12 3t2 3 4 1 4 y 3 4 1 2 y 1 1 10 p 3 2 5 p x 6 3 2x 8 2 12 x 5 2 2x 10 9 5 y 15 2 3 4 5 x 8 1 4 1 2 2 3 h 5 7 b 3 1 0 Review Exercises 187 Chapter 2 Review Exercises Section 2.1 1. Label the following as either an expression or an equation: a. b. c. d. 3x y 10 9x 10y 2xy 41x 32 12 5x 7 2. Explain how to determine whether an equation is linear in one variable. 3. Determine if the given equation is a linear equation in one variable. Answer yes or no. a. 4x2 8 10 b. x 18 72 c. 3 2y2 0 d. 4p 5 6p 4. For the equation, 4y 9 3, determine if the given numbers are solutions. a. b. y 3 y 3 For Exercises 5–12, solve each equation using the addition property, subtraction property, multiplication property, or division property of equality. 5. a 6 2 6. 6 z 9 3 4 9 2 7. 8. k 0.1r 7 9. 10. 5x 21 20 2 5 4 7 11. k 12. t 3 m 27 13. The quotient of a number and negative six is equal to negative ten. Find the number. 5 18 14. The difference of a number and is . Find the number. 12 15. Four subtracted from a number is negative twelve. Find the number. 12 1 4 16. The product of a number and is . Find the number. Section 2.2 For Exercises 17–28, solve each equation. 17. 4d 2 6 18. 5c 6 9
miller_beginning_intermediate_algebra_4e_ch1_3
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