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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