1. Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…

2. Definitions An EQUATION is a math sentence. –It contains two expressions, separated by the equals sign (=). The WALL is merely two parallel bars drawn to separate the two expressions. INVERSES are operations that undo each other. P--E--MD--AS is done backwards.

3. Just Checking… What is an equation? How is it different from an expression? What is the wall? What are inverses? Give 3 examples of inverses. How is P--E--MD--AS done?

4. Example: 3x + -2 = -7 Why is this an equation? What are the two expressions in this equation? Which one of the expressions is in simplest form?

5. Steps to solve equations: 1. Copy the problem. 2. Draw the wall. 3. Recopy the problem (leave a little space on the left). 4. Do backwards! Use inverse operations on both sides of the equal sign. 5. Solve like expressions - answer underneath. 6. Cloud answer. 7. Write the check and arrow up to original answer. P E MD AS

6. Solve 4x + 5 = 15

7. Solve

8. Solve 4x + 5 - 5 = 15

9. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5

10. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10

11. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10

12. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4

13. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4

14. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1 1

15. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 1 1

16. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 x = 2.5 1 1

17. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 x = 2.5 1 1

18. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 x = 2.5 1 1 Check: 4 2.5 + 5 10 + 5 = 15

19. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 x = 2.5 1 1 Check: 4 2.5 + 5 10 + 5 = 15

20. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 x = 2.5 1 1 Check: 4 2.5 + 5 10 + 5 = 15

21. Try these: 1. 125 + 3b = 154.97 2. 4t + 7 = 3 3. 15 = 3y - (-6) 4. n / (-8) + 2 = -3 5. 30 = x / 3 - 9 6. -4.2 = 23 + 8a Bonus: 3n + 9 + 4n = 2