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5.1.1 Working with Multi-Variable Equations Homework Name ____________________________________________________ Period __________ Work through each of the problems below to practice the concepts from today’s lesson and review concepts from previous lessons. Be sure to always show all work! 5-5. A tile pattern has 5 tiles in Figure 0 and adds 7 tiles in each new figure. Write the equation of the line that represents the growth of this pattern. y = 7x + 5 5-6. Solve each equation below for the indicated variable, if possible. Show all steps. a. 2x + 22 = 12 for x x = −5 b. 2x − y = 3 for y y = 2x −3 c. 2x + 15 = 2x – 15 for x No solution d. 6x + 2x = 10 for x x = 5/4 5-7. Solve each of the following equations for x. Then check each solution. c. a. 3.75 11.2 b. d. 7.5 -.25 5-8. Graph the lines y = −4x + 3 and y = x − 7 on the same set of axes. Then find their point of intersection. (2, -5) 5-9. Draw Figures 1, 2, and 3 for a tile pattern that could be described by y = −3x + 10. Figure 0 would have 10 tiles, and each figure after would have 3 less tiles