Section 2.2 The Addition Property of Equality 111 You Be the Teacher! Correct each student’s errors, if any. 85. Solve: 2(x - 1) + 3 = x - 4 Blanche’s work: 2(x - 1) + 3 = x - 4 2x - 1 + 3 = x - 4 2x + 2 = x - 4 -2 -2 2x = x - 6 -x -x x=-6 86. Solve: 5(x - 13) + 3 = 4x - 14 Darcy’s work: 5(x - 13) + 3 = 4x - 14 5x - 65 + 3 = 4x - 14 5x - 62 = 4x - 14 -62 -62 5x = 4x - 76 -4x -4x x=-76 87. Solve: 88. Solve: 4 5 x + 5 + 1 5 x = 12 1 6 x - 4 = 10 - 5 6 x Charlie’s work: Wanda’s work: 4 1 5 x + 5 + 5 x = 12 4 5 x + 1 5 x + 5 = 12 5 5 x + 5 = 12 x + 5 = 12 -5 -5 x = 7 1 6 x - 4 = 10 - 5 6 x +4 +4 1 5 6 x = 14 - 6 x + 5 6 x + 5 6 x 6 6 x = 14 x = 14 C Calculate It! Solve each equation. Then use a graphing calculator to check the solution. 89. 6(x - 1) + 3 = 5x - 9 90. 3 + 2(x - 1) = x - 3 3 4 x + 2 = 5 - 1 4 x 1 2 x + 4 + x = 1 2 x - 7 93. 1.2(x - 2.5) - 2.2(x + 10.8) = 4.6 94. 2.3(x + 3.1) - 1.3(x - 2.4) = 6.8 Think About It! 95. According to a national retail organization, the average person spent $116.21 on traditional Valentine’s Day merchandise in 2011 compared to an average of $103.00 in 2010. Use this information to write a word problem. 96. The following pie chart shows the total number of retailers by type in the state of Georgia in 2010. Use the information to write a word problem that relates two of the quantities. (Source: http://www.nrf.com) Types of Retailers in the State of Georgia 310,190 19,951 17,950 82,553 94,138 28,290 45,764 46,272 65,087 29,073 24,474 16,764 8,471 91. 92. Restaurants & bars Department stores, warehouse clubs & super stores Grocery & liquor stores Clothing & clothing Motor vehicle & parts dealers accessories stores Building material & garden Health & personal care stores supply stores Miscellaneous store retailers Gasoline stations Furniture & home furnishings stores Sporting goods, hobby, book & music stores Electronics & appliance stores Catalog, Internet & mail-order retailers
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