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Week 2 Assignment

Week 2 Assignment - Week 2 Assignment Section 1.1 11 4 = 2x...

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Week 2 Assignment Section 1.1: 11. - 4 = 2x - 6 - 4 + 6 = 2x - 6 + 6 2 = 2x 2x 2 2x = 2 1 = x 15. 4x - 1 = 2x + 7 4x - 1 + 1 = 2x + 7 + 1 4x = 2x + 8 4x - 2x = 2x - 2x + 8 2x = 8 2x 8 2x = 2 x = 4 19. 3x + 4 = 5x - 2 3x + 4 - 4 = 5x - 2 - 4 3x = 5x - 6 3x - 5x = 5x - 5x - 6 -2x = -6

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-2x -6 -2x = -2 x = -3 23. 5x + 3 - 2x = x - 15 3x + 3 = x - 15 3x + 3 - 3 = x - 15 - 3 3x = x - 18 3x - x = x - x - 18 2x = -18 2x -18 2x = 2 x = -9 28. x - 4 - 4x = 6x + 9 - 8x 3x - 4 = -2x + 9 3x - 4 + 4 = -2x + 9 + 4 3x = -2x + 13 3x + (-2x) = -2x + (-2x) + 13 1x = 13 1x 13 1 = 1 x = 13
29. 6n - 4 - 3n = 3n + 10 + 4n 3n - 4 = 7n + 10 3n - 4 + 4 = 7n + 10 + 4 3n = 7n = 7n - 7n + 14 -4n = 14 -4n _ 14 _ 7 -4 = 4 = 2 or 3.5 n = _ 7 2 31. 4(x - 3) = -20 4x - 12 = -20 4x - 12 + 12 = -20 + 12 4x = -8 4x = - 8 4x 4 x = -2 33. -3(x - 2) = 11 -3x + 6 = 11 -3x + 6 - 6 = 11 - 6 -3x = 5 -3x = _ 5 -3x 3

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_ 5 x = 3 37. 5x - 4(x - 6) = -11 5x - 4x + 24 = -11 x + 24 = -11 x + 24 - 24 = -22 - 24 x = -35 41. -2(3x + 5) = -3(4x + 3) -6x - 10 = -12x - 9 -6x - 10 + 10 = -12x - 9 + 10 -6x + 12x = -12x + 12x + 1 6x = 1 6x = 1 6x 6 1 x = 6 43. 3(x - 4) - 7(x + 2) = -2(x + 18) 3x - 12 - 7x - 14 = -2x - 36 -4x - 26 = -2x - 36 -4x - 26 + 26 = -2x - 36 + 26
-4x = -2x - 10 -4x + 2x = -2x + 2x - 10 -2x = -10 -2x = -10 -2x -2 x = 5 49. -2(n - 4) - (3n - 1) = -2 + (2n - 1) -2n + 8 - 3n + 1 = -2 + 2n - 1 -5n + 9 = 2n - 3 -5n + 9 = 9 = 2n - 3 - 9 -5n + 9 - 9 = 2n - 3 - 9 -5n = 2n - 12 -5n - 2n = 2n - 2n - 12 -7n = -12 -7n = 12 -7n 7 12 n = 7 51. If 15 is subtracted from three times a certain number, the res- ult is 27. Find the number. Let x = number 3x - 15 = 27

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3x - 15 + 15 = 27 + 15 3x = 42 3x = 42 = 14 3x 3 The number (x) is 14. 52. If one is subtracted from seven times a certain number, the result is the same as if 31 is added to three times the number. Find the number. 7x - 1 = 3x + 31 4x + 32 4x = 32 = 8 4x 4 The number (x) is 8. 53. Find three consecutive integers whose sum is 42. Let x = first integer Let x + 1 = second integer Let x + 2 = third integer x + x + 1 + x + 2 = 42 3n + 3 = 42 3n + 3 - 3 = 42 - 3
3n = 39 3n = 39 = 13 3n 3 x = 13 First integer (x) = 13 Second integer = 13 + 1 = 14 Third integer = 13 + 2 = 15 The integers are 13, 14, 15. 57. The difference of two numbers is 67. The larger number is three less than six times the smaller number. Find the num- bers. Let n = smaller number Let 6x - 3 = larger number 6x - 3 - x = 67 5x - 3 = 67 5x - 3 + 3 = 67 + 3 5x = 70 5x = 70 = 14 5x 5 x = 14 smaller number = 14

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larger number = (6)(14) - 3 = 84 - 3 = 81 The numbers are 14 and 81. 59. Angelo is paid double time for each hour he works over 40 hours in a week. Last week he worked 46 hours and earned \$572. What is his normal hourly rate? Let x = normal hourly rate of pay
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Week 2 Assignment - Week 2 Assignment Section 1.1 11 4 = 2x...

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