54 Chapter 1 Linear Equations and Inequalities in One Variable h. An equation that has no solution is called a . i. The set containing no elements is called the and is denoted by . j. An equation that has all real numbers as its solution set is called an . Review Exercises 2. Apply the distributive property. 1 2 16x 8y 102 For Exercises 3–6, clear parentheses and combine like terms. 3. 4. 8x 3y 2xy 5x 12xy 5ab 5a 13 2a 17 16w 52 213z 42 314w 52 1z 122 5. 6. Concept 1: Linear Equations in One Variable For Exercises 7–12, label the equation as linear or nonlinear. 2x 1 5 10 x 6 x2 7 9 7. 8. 9. 3 x3 x 4 3 x 5.2 7x 0 10. 11. 12. 13. Use substitution to determine which value is the solution to a. 2 b. 3 c. 0 d. 1 14. Use substitution to determine which value is the solution to 1 2 a. 1 b. c. 0 d. 1 2 2x 1 5. 2y 3 2. Concept 2: Solving Linear Equations For Exercises 15–44, solve the equation and check the solution. (See Examples 1–6.) 15. 16. 17. 18. 12 13 7 8 19. 20. 21. 22. 23. 24. 25. 26. x 8 2.53 2.3t 4.8 6.1 y p 2.9 3.8 4.2a 4.494 27. 28. 29. 30. 6q 4 62 2w 15 15 4y 17 35 6z 25 83 31. 32. 33. 31x 62 34. 13y 4 51y 42 b 5 2 6 y 1 2x 5 1 51p 22 6 21p 132 1t 22 513t 42 35. 36. 81b 22 61a 32 3b 91b 12 10 21a 42 37. 38. 33w 110 w2 4 71w 12 235 12z 12 4 4 213 z2 39. 40. 13 4w 51w 62 61 21w 12 y 42 312y 32 y 5 5y 41. 42. 43. 14 2x 5x 41 44. 8 1p 22 6p 7 p 13 2x 52 6 1 2 a 5 8 4 3 b 5 6 z t 3 4 x 7 19 3 y 28 x 2
miller_intermediate_algebra_4e_ch1_3
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