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