1. Lesson 3-5: Solving Equations with the Variable on Each Side

2. Objectives -I can solve equations with variables on both sides using multiple steps. -I can determine when an equation has one solution, no solutions, and all real numbers for solutions.

3. You will need graph paper at the beginning of Chapter 4!!!!

4. Example 1 Solve: -2 + 10p = 8p – 1 – 8p – 8p -2 + 2p = -1

5. Example 1 Solve: -2 + 10p = 8p – 1 – 8p – 8p -2 + 2p = -1 +2 2p = 1

6. Example 1 Solve: -2 + 10p = 8p – 1 – 8p – 8p -2 + 2p = -1 +2 2p = 1 p = ½

7. Example 2 Solve: 2(w – 3) + 5 = 3(w – 1)

8. Example 2 Solve: 2(w – 3) + 5 = 3(w – 1) 2w – 6 + 5 = 3w – 3

9. Example 2 Solve: 2(w – 3) + 5 = 3(w – 1) 2w – 6 + 5 = 3w – 3 2w - 1 = 3w – 3

10. Example 2 Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3 2w – 1 = 3w – 3 – 2w – 2w

11. Example 2 Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3 2w – 1 = 3w – 3 – 2w – 2w -1 = w – 3

12. Example 2 Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3 2w - 1 = 3w – 3 – 2w – 2w -1 = w – 3 + 3 + 3

13. Example 2 Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3 2w - 1 = 3w – 3 – 2w – 2w -1 = w – 3 + 3 + 3 2 = w

14. Example 3 Solve: 8(5c – 2) = 10(32 + 4c) 40c – 16 = 320 + 40c – 40c – 40c -16 = 320 No solution

15. Example 4 Solve: All Real Numbers

16. Homework Pgs. 152-153: 16-42 Evens