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Section 10.6

Chapter 10. Section 10.6. Exercise #5. Solve for x and check your result. 4x + 7 = 35. 4x. +. 7. +. (– 7). =. 35. +. (– 7). 4x. 28. =. 4. 4. x. =. 7. Check your answer. Solve for x and check your result. 4x + 7 = 35. 4(7). +. 7. =. 35. 28. +. 7. 35. =. . =.

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Section 10.6

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  1. Chapter 10 Section 10.6 Exercise #5

  2. Solve for x and check your result. 4x + 7 = 35 4x + 7 + (– 7) = 35 + (– 7) 4x 28 = 4 4 x = 7 Check your answer.

  3. Solve for x and check your result. 4x + 7 = 35 4(7) + 7 = 35 28 + 7 35 =  = 35 35 x = 7 Check your answer.

  4. Chapter 10 Section 10.6 Exercise #15

  5. 1 1 Solve for x and check your result. + (– 5) = 3 + (– 5) + 5 = 3 + 5 4 (4) 8 = x = 32 Check your answer.

  6. 8 1 Solve for x and check your result. + (– 5) = 3 + (– 5) = 3  3 = 3 x = 32 Check your answer.

  7. Chapter 10 Section 10.6 Exercise #19

  8. 1 4 1 1 1 1 Solve for x and check your result. + (– 3) = 13 + (– 3) + 3 = 13 + 3 16 = x = 20 Check your answer.

  9. (20) 4 1 x = 20 Solve for x and check your result. + (– 3) = 13 + (– 3) = 13 16 + (– 3) = 13  13 = 13 Check your answer.

  10. Chapter 10 Section 10.6 Exercise #25

  11. 6 1 1 1 Solve for x and check your result. 9x + 2 = 3x + 38 9x + 2 + (– 2) = 3x + 38 + (– 2) 9x = 3x + 36 9x + (– 3x) = 3x + (– 3x) + 36 6x = 36 6 6 x = 6 Check your answer.

  12. Solve for x and check your result. 9x + 2 = 3x + 38 9(6) + 2 = 3(6) + 38 + 54 2 = 18 + 38  56 = 56 x = 6 Check your answer.

  13. Chapter 10 Section 10.2 Exercise #37

  14. Solve for x and check your result. 6x + 7 + (– 4x) = 8 + 7x + (– 26) 2x + 7 = 7x + (– 18) 2x + 7 + 18 = 7x + (– 18) + 18 2x + 25 = 7x + 2x + (– 2x) 25 = 7x + (– 2x) 25 = 5x 5 5 5 = x Check your answer.

  15. Solve for x and check your result. 6x + 7 + (– 4x) = 8 + 7x + (– 26) + (– 4(5)) (– 26) 6(5) + 7 = 8 + 7(5) + (– 20) + (– 26) 30 + 7 + = 8 + 35  17 = 17 5 = x Check your answer.

  16. Chapter 10 Section 10.6 Exercise #45

  17. Solve for x and check your result. 3x + 2(4x + (– 3)) = 6x + (– 9) 3x + 8x = 6x + (– 9) (– 6) + 11x + 6x (– 6) = + (– 9) 11x + (– 6) + 6 = 6x + (– 9) + 6 (– 3) 11x = 6x + 11x + (– 6x) = 6x + (– 6x) + (– 3) 5x = – 3 5 5 Check your answer. x =

  18. 2 2 Check your answer. x = Solve for x and check your result. 3x + 2(4x + (– 3)) = 6x + (– 9) 3 + 4 + (–3) = 6 + (–9) + + (–3) = + (–9)

  19. 3 + 2 4 + (–3) = 6 + (–9) + + = + 2 Check your answer. x = Solve for x and check your result. 3x + 2(4x + (– 3)) = 6x + (– 9) (–3) (–9) 2 = +

  20. 3 + 2 4 + (–3) = 6 + (–9) + + = + 2 = + Check your answer. x = Solve for x and check your result. 3x + 2(4x + (– 3)) = 6x + (– 9)

  21. 3 + 2 4 + (–3) = 6 + (–9) + + = + 2 = Check your answer. x = Solve for x and check your result. 3x + 2(4x + (– 3)) = 6x + (– 9) 

  22. Chapter 10 Section 10.6 cut!!!!!!!!!!!!!!!!!!!! Exercise #49

  23. Chapter 10 Section 10.6 Exercise #53

  24. There were 55 more yes votes than no votes on an election measure. If 735 votes were cast in all, how many yes votes were there? The number of yes votes = x. The number of no votes =x – 55. Total votes =735.

  25. The number of yes votes = x. The number of no votes =x – 55. Total votes =735. (x – 55) + x = 735

  26. The number of yes votes = x. The number of no votes =x – 55. Total votes =735. x (– 55) + x = 735 + 2x (– 55) + = 735 2x + (– 55) 55 55 + = 735 + 2x = 790 2 2

  27. x (– 55) + x = 735 + 2x (– 55) + = 735 2x + (– 55) 55 55 + = 735 + The number of yes votes = x. The number of no votes =x – 55. Total votes =735. x = 395 Check your answer.

  28. (x – 55) + x = 735 The number of yes votes = x. The number of no votes =x – 55. Total votes =735. ( – 55) + 395 = 735 395 (340) + 395 = 735  735 = 735 x = 395 Check your answer. There were 395 yes votes.

  29. Chapter 10 Section 10.6 cut!!!!!!!!!!!!!!!! Exercise #55

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