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Name__________________________________________Date________________Hour__________
Study Guide: Multistep Equations, Slope, and Graphing
Solve the following equations. You must show all work on separate steps to receive full credit.
1. 4(5 x  2)  7 x  5
2. 2x  5  6x  10x  9
3.  5(2 x  6)  12 x  8
4. 2 x  3(4 x  7)  6  13x
5.  2( x  25)  2( x  12)  2
6. 3x  1  2x  6x  5
Find the slope between these two points. Your slope must be simplified completely to receive full credit.
7. What is the slope formula?
8. (-5,3) and (-2,6)
9. (4,9) and (4,6)
10. (8,-6) and (-2,-6)
11. (-4, -3) and (-8,-9)
12. (5,3) and (-3,5)
13. (-9,0) and (4,-18)
14.
15.
Graph using slope intercept form.
−4
16. 𝑦 = 𝑥 − 6
17. 𝑦 = 5𝑥 + 2
m: _______________ b: ____________
m: _______________ b: ____________
3
9
9
8
8
7
7
6
6
5
5
4
4
3
3
2
2
1
1
-9 -8 -7 -6 -5 -4
-9 -8 -7 -6 -5 -4
-3 -2 -1
0
1
2
3
4
5
6
7
8
-3 -2 -1
0
9
1
2
3
4
5
6
7
8
9
-1
-1
-2
-2
-3
-4
-3
-4
-5
-5
-6
-6
-7
-7
-8
-8
-9
-9
3
18. 𝑦 = − 2 𝑥 + 4
m: _______________ b: ____________
19. 𝑦 = −3𝑥 + 6
m: _______________ b: ____________
9
9
8
8
7
7
6
6
5
5
4
4
3
3
2
2
1
1
-9 -8 -7 -6 -5 -4
-9 -8 -7 -6 -5 -4
-3 -2 -1
0
1
-1
-2
-3
-4
-5
-6
-7
-8
-9
2
3
4
5
6
7
8
9
-3 -2 -1
0
1
-1
-2
-3
-4
-5
-6
-7
-8
-9
2
3
4
5
6
7
8
9
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