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Technical Mathematics, Sixth Edition by Michael A. Calter Ph.D., Paul A. Calter

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3.8. CHAPTER 3 REVIEW PROBLEMS

Solve each equation.

  1. 2x − (3 + 4x − 3x + 5) = 4 12

  2. 5(2 − x) + 7x − 21 = x + 3 14

  3. 3(x − 2) + 2(x − 3) + (x − 4) = 3x − 1 5

  4. x + 1 + x + 2 + x + 4 = 2x + 12 5

  5. (2x − 5) − (x − 4) + (x − 3) = x − 4 0

  6. 4 − 5w − (1 − 8w) = 63 −w 15

  7. 3z − (z + 10) − (z − 3) = 14 − z

  8. (2x − 9) − (x − 3) = 0 6

  9. 3x + 4(3x − 5) = 12 − x 2

  10. 6(x − 5) = 15 + 5(7 − 2x) 5

  11. x2 − 2x − 3 = x2 − 3x + 1 4

  12. 10x − (x − 5) = 2x + 47 6

  13. 7x − 5 − (6 − 8x) + 2 = 3x − 7 + 106 9

  14. 5.90x − 2.80 = 2.40x + 3.40 1.77

  15. 4.50(x − 1.20) = 2.80(x + 3.70) 9.27

  16. 6x + 3 − (3x + 2) = (2x − 1) + 9 7

  17. 3(x + 10) + 4(x + 20) + 5x − 170 = 15 24/4

  18. 20 − x + 4(x − 1) − (x − 2) = 30 6

  19. 5x + 3 − (2x − 2) + (1 − x) = 6(9 − x) 6

  20. 3x − (x − 4) + (x + 1) = x − 7 −6

  21. 4(x − 3) = 21 + 7(2x − 1) −13/5

  22. 8.20(x − 2.20) = 1.30(x + 3.30) 3.24

  23. 5(x − 1) − 3(x + 3) = 12 13

  24. 3.25x + 4.11(x − 3.75) = 11.2 3.62

  25. 5x + (2x − 3) + (x + 9) = x + 1 −5/7

  26. 1.20(x − 5.10) = 7.30(x − 1.30) 0.552

  27. 2(x − 7) = 11 + 2(4x − 5) −5/2

  28. 4.40(x − 1.90) = 8.30(x + 1.10) −4.48

  29. 8x − (x − 5) + (3x + 2) = x − 14 −7/3 ...

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