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122 Chapter 2 Linear Equations and Inequalities in One Variable 8. To make the coefficient of - 3 5 x equal 1, we must multiply the expression by 3 5 . 9. To represent consecutive odd integers, use x, x + 1, x + 3, x + 5, etc. 10. To represent consecutive even integers, use x, 2x, 4x, 6x, etc. Practice Makes Perfect! Solve each equation using the multiplication property of equality. (See Objective 1.) 11. 2x = 10 12. 4x = 48 13. 5x = -15 14. 8x = -16 15. -0.3x = 12 16. -0.7x = 49 17. -x = 11 18. -x = 10 19. -4x = -24 20. -6x = -30 21. x 5 = 2 22. a 9 =-5 23. 2 3 x = 6 24. 7 2 y = 14 25. - 5 6 a=-10 26. - 3 8 b=-27 27. 0.25y = 8 28. 3.5a = -7 Solve each equation. (See Objective 2.) 29. 6x + 2 = 14 30. 4x + 5 = 21 31. 5x - 10 = 20 32. 7y - 6 = 36 33. -2a + 4 = -20 34. -9y + 6 = 6 35. -1.4x + 3.7 = 5.38 36. 0.2b - 2.8 = -1.18 37. 3x + 7 = x - 9 38. 11y - 8 = 8y - 5 39. -5a - 6 = -2a + 3 40. -4x - 3 = 2x + 9 41. 2x + 3 - 4x = 7x - 8 42. 8a + 1 - 4a = 13 + 7a 43. 3(2z + 6) = 4(z + 5) 44. 5(4x - 1) = 2(3x + 5) 45. -4.5x + 10.5 = -3.1x + 11.06 46. -0.1b + 7 = 3.3b - 1.84 47. 0.3(1.2z + 5.2) = -0.4(2.5z - 9.0) 48. -0.6(1.5x - 4.2) = 0.5(-x + 6.96) Write an equation that represents each situation. Solve the equation and explain the answer using a complete sentence. (See Objective 3.) 49. The cost to rent a luxury car for one day is $75 plus $0.25 per mile. This daily cost is represented by the expression 75 + 0.25x, where x is the number of miles driven. How many miles has the car been driven if the cost of the rental car is $112.50? 50. The cost to rent a banquet facility for a wedding reception is $1500 plus $35 per person for the food. This is represented by the expression 1500 + 35x, where x is the number of attendees. If a couple budgets $5000 for their reception, how many people can attend the reception? 51. How many nickels does it take to make $8.75? 52. How many nickels does it take to make $6.15? 53. How many quarters are needed to make $19.50? 54. How many quarters are needed to make $12.25? Write an equation that represents each situation. Solve the equation and explain the answer using a complete sentence. (See Objective 4.) 55. The sum of two consecutive even integers is -78. Find the integers. 56. The sum of three consecutive odd integers is -309. Find the integers. 57. Four times the largest of three consecutive integers is 47 more than the sum of the other two integers. Find the integers. 58. The sum of the two smallest of three consecutive even integers is the same as three times the largest integer. Find the integers. 59. The sum of the two largest of three consecutive odd integers is the same as 5 more than the smallest integer. Find the integers. 60. The lengths of the sides of a triangle are consecutive integers. If the perimeter of the triangle is 12 ft, what are the lengths of the three sides of the triangle? Mix ’Em Up! Solve each equation. 61. 5x = 10 62. 2x + 5 = 11 63. 4y - 1 = 15 64. 12y + 3 = 51 65. -4x + 16 = 20 66. -3x + 15 = 21 67. a 4 =-2 68. - 3a 2 = 1 2 69. 10z + 3 - 5z = 12 - 4z 70. -3z + 1 - 2z = 10 + 3z + 7 71. -7x + 2 - 5x = 12 + 4x - 6 72. 4y - 9 - y = 14 - 7y - 8 73. - 1 3 (x + 3) + 2 = x + 1 74. 1 4 (x - 8)=-2x + 3 75. -1.2b + 4 = 22 76. -2.1b + 1.1 = 7.4 77. -0.7y + 13.5 = 7y + 31.98 78. 0.2a - 8.4 = 5.9a + 22.38 79. 3.9(1.6x - 0.6) = -0.4(4.2x - 2.07) 80. -2(-0.7x + 3) = -0.5(0.2x + 16.8) 81. 8(x - 3) = 2x - 42 82. -5(x + 11) = 3x + 1 83. -6(2x - 5) = 4x - 2 84. 7(4x - 9) = 6x + 3


hendricks_beginning_algebra_1e_ch1_3
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