Section 2 Equations Solutions

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

• Notes
• davidvictor
• 12

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Section 1.2 Solving Equations 27 Version: Fall 2007 1.2 Exercises In Exercises 1 - 12 , solve each of the given equations for x . 1. 45 x + 12 = 0 2. 76 x 55 = 0 3. x 7 = 6 x + 4 4. 26 x + 84 = 48 5. 37 x + 39 = 0 6. 48 x + 95 = 0 7. 74 x 6 = 91 8. 7 x + 4 = 6 9. 88 x + 13 = 21 10. 14 x 81 = 0 11. 19 x + 35 = 10 12. 2 x + 3 = 5 x 2 In Exercises 13 - 24 , solve each of the given equations for x . 13. 6 3( x + 1) = 4( x + 6) + 2 14. (8 x + 3) (2 x + 6) = 5 x + 8 15. 7 (5 x 3) = 4(7 x + 2) 16. 3 4( x + 1) = 2( x + 4) + 8 17. 9 (6 x 8) = 8(6 x 8) 18. 9 (7 x 9) = 2( 3 x + 1) 19. (3 x 1) (7 x 9) = 2 x 6 Copyrighted material. See: 1 20. 8 8( x 3) = 5( x + 9) + 7 21. (7 x 9) (9 x + 4) = 3 x + 2 22. ( 4 x 6) + ( 9 x + 5) = 0 23. 5 (9 x + 4) = 8( 7 x 7) 24. (8 x 3) + ( 3 x + 9) = 4 x 7 In Exercises 25 - 36 , solve each of the given equations for x . Check your solu- tions using your calculator. 25. 3 . 7 x 1 = 8 . 2 x 5 26. 8 . 48 x 2 . 6 = 7 . 17 x 7 . 1 27. 2 3 x + 8 = 4 5 x + 4 28. 8 . 4 x = 4 . 8 x + 2 29. 3 2 x + 9 = 1 4 x + 7 30. 2 . 9 x 4 = 0 . 3 x 8 31. 5 . 45 x + 4 . 4 = 1 . 12 x + 1 . 6 32. 1 4 x + 5 = 4 5 x 4 33. 3 2 x 8 = 2 5 x 2 34. 4 3 x 8 = 1 4 x + 5 35. 4 . 34 x 5 . 3 = 5 . 45 x 8 . 1 36. 2 3 x 3 = 1 4 x 1

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28 Chapter 1 Preliminaries Version: Fall 2007 In Exercises 37 - 50 , solve each of the given equations for the indicated vari- able. 37. P = IRT for R 38. d = vt for t 39. v = v 0 + at for a 40. x = v 0 + vt for v 41. Ax + By = C for y 42. y = mx + b for x 43. A = πr 2 for π 44. S = 2 πr 2 + 2 πrh for h 45. F = kqq 0 r 2 for k 46. C = Q mT for T 47. V t = k for t 48. λ = h mv for v 49. P 1 V 1 n 1 T 1 = P 2 V 2 n 2 T 2 for V 2 50. π = nRT V i for n 51. Tie a ball to a string and whirl it around in a circle with constant speed. It is known that the acceleration of the ball is directly toward the center of the circle and given by the formula a = v 2 r , (1) where a is acceleration, v is the speed of the ball, and r is the radius of the circle of motion.
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