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hendricks_beginning_algebra_1e_ch1_3

Section 2.3 The Multiplication Property of Equality 123 Write an equation that represents each situation. Solve the equation and explain the answer in a complete sentence. 85. Twice a number is equal to -18. Find the number. 86. One-half of a number is equal to -10. Find the number. 87. Three-fifths of a number is 15. Find the number. 88. Two-sevenths of a number is -14. Find the number. 89. The quotient of a number and 7 is -21. Find the number. 90. The quotient of a number and 3 is 12. Find the number. 91. 30% of a number is 9. Find the number. 92. 15% of a number is 1.5. Find the number. 93. Two less than five times a number is -7. Find the number. 94. Four more than twice a number is -8. Find the number. 95. How many dimes will it take to make $15? 96. How many half-dollars are needed to make $75? 97. The cost to rent a midsize car for one day is $63 plus $0.28 per mile. This daily cost is represented by the expression 63 + 0.28x, where x is the number of miles driven. How many miles has the car been driven if the cost of the rental car is $121.80? 98. The cost to rent a midsize car for one day is $56 plus $0.32 per mile. This daily cost is represented by the expression 56 + 0.32x, where x is the number of miles driven. How many miles has the car been driven if the cost of the rental car is $134.40? 99. The sum of four consecutive integers is -154. Find the integers. 100. The sum of three consecutive odd integers is 51. Find the integers. 101. Three times the largest of three consecutive even integers is 2 more than the sum of the other two integers. Find the integers. 102. Three times the largest of three consecutive odd integers is 13 more than the sum of the other two integers. Find the integers. You Be the Teacher! Correct each student’s errors, if any. 103. Solve: x 2 + 3 = 7 Michael’s work: x 2 + 3 - 3 = 7 - 3 x 2 = 4 x 2 - 2 = 4 - 2 x = 2 104. Solve: - 2 3 x + 3 = x - 2 Gabriel’s work: - 2 3 x + 3 - 3 = x - 2 - 3 - 2 3 x = x - 5 - 2 3 x - x = x - 5 - x - 3 3 x=-5 - 2 3 x - 5 3 x=-5 - 5 3 x + 5 3 =-5 + 5 3 x=- 10 3 105. Translate: Five less than twice a number equals four times the number plus ten. Kristen’s answer: Let x be the number. 5 - 2x = 4x + 10 106. Translate: Half the sum of 4 and a number equals the number subtracted from 6. Lauren’s answer: Let x be the number. 1 2 (4 + x) = x - 6 107. Three times the largest of three consecutive odd integers is 87 more than the sum of the other two integers. Find the integers. Cynthia’s work: Let x, x + 1, x + 2 be the three consecutive odd integers. 3( x + 2) = 87 + x + (x + 1) 3x + 6 = 88 + 2x x = 82 108. The sum of the two largest of three consecutive even integers is 30 less than four times the smallest integer. Find the integers. Ron’s work: Let x, x + 2, and x + 4 be the three consecutive even integers. (x + 2) + (x + 4) = 30 - 4x 2x + 6 = 30 - 6x 8x = 24 x = 3 Calculate It! Solve each equation. Then use a graphing calculator to check the solution. 109. 8x + 20 = 2x - 15 + x 110. 2(x + 10) - 5 = 4x + 18 111. 5 6 x - x = 8 - 3 2 x 112. -3.5(-1.6x + 2.4) = 0.8(-2.1x - 41.44)


hendricks_beginning_algebra_1e_ch1_3
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