Hammond Clark
10/29/2024 · Senior High School

Review 1. During the summer, Matthew and Devan started their own business mowing lawns for people in the Lake Section. Before starting any work, Matthew spends \( \$ 15 \) to fill up the gas tank for the lawnmower. The boys agree that each person will earn the same amount after Matthew is reimbursed the money he spent for gas. After a week of work, the boys earn a total of \( \$ 243 \). Matthew filled up the gas tank just once. How much did each boy earn? a. Draw a bar model to represent the situation. b. Write an equation to represent the situation. c. Use the model to solve the problem. 2. Evaluate each algebraic expression for the variable. \( \begin{array}{ll}\text { a. } 9 g+5, \text { for } g=1.5 \\ \text { b. } \frac{2 x+3}{4}, \text { for } x=1 \\ \text { 3. Determine each product. } \\ \text { a. }-6.2(9.1) & \text { b. }-0.03(-15)\end{array} \)

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Each boy earns $114. For the algebraic expressions, \( 9g + 5 \) for \( g = 1.5 \) equals 18.5, and \( \frac{2x + 3}{4} \) for \( x = 1 \) equals 1.25. The products are \( -6.2(9.1) = -56.42 \) and \( -0.03(-15) = 0.45 \).

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