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Additional info for Moving Straight Ahead: Linear Relationships
5x + 10 = 20 2. 5x - 10 = 20 3. 5x + 10 = -20 4. 5x - 10 = -20 B. 1. 10 - 5x = 20 2. 10 - 5x = -20 C. 1. 4x + 9 = 7x 2. 4x + 9 = 7x + 3 3. 4x - 9 = 7x 4. 4x - 9 = -7x + 13 D. 1. 3(x + 2) = 21 2. -3(x - 5) = 2x 3. 5(x + 2) = 6x + 3 E. In all of the equations in Questions A–D, the value of x was an integer, but the solution to an equation can be any real number. Solve the equations below, and check your answers. 1. 5x + 10 = 19 2. 5x + 10 = 9x 3. 5x - 10 = -19 4. 5x - 10 = -7x + 1 F. 1. Describe how you could use a graph or table to solve the equation 5x + 10 = -20.
5x + 10 = 19 2. 5x + 10 = 9x 3. 5x - 10 = -19 4. 5x - 10 = -7x + 1 F. 1. Describe how you could use a graph or table to solve the equation 5x + 10 = -20. 2. Suppose you use a different letter or symbol to represent the value of the unknown variable. For example, 5n + 10 = 6n instead of 5x + 10 = 6x. Does this make a difference in solving the equation? Explain. Homework starts on page 57. 3, you used the graphs (or tables) to find when the costs of two different plans for buying T-shirts were equal.
20, 115) ii. (65, 295) iii. (50, 250) e. Pick one of the points in part (d). Write a question that could be answered by locating this point. 7. Suppose each of the following patterns continues. Which are linear relationships? Explain your answer. For each pattern that is linear, write an equation that expresses the relationship. a. c. x y Ϫ10 b. x y Ϫ29 1 9 0 1 5 17 10 31 7 21 20 61 20 47 30 91 21 49 x y d. qxd 5/18/06 2:21 PM Page 36 8. The organizers of a walkathon get cost estimates from two printing companies to print brochures to advertise the event.