1. Welcome! Agenda Warm Up Algebraic Properties Notes
Solving Multi-Step Equations Notes
Solving Multi-Step Equations CW

2. Notebook example
Ex.1
Ex.2
Ex.3
Ex.4
Ex.5

3. Algebraic properties Properties of Equality
Addition Property of Equality
If a = b, then a + c = b + c.
Subtraction Property of Equality
If a = b, then a – c = b – c.
Multiplication Property of Equality
If a = b, then ac = bc.
Division Property of Equality
If a = b, then a/c = b/c.

4. Substitution Property of Equality Symmetric Property of Equality
Algebraic properties
Substitution Property of Equality
If a = b then a can be substituted for b, and vice versa
Symmetric Property of Equality
If a = b, then b = a.
Distributive Property of Multiplication
a(b + c) = ab + ac
** On a step where you combine like terms, the justification is “Simplify” **

5. Ex. Of proof using properties

6. Ex. Of 2 Column proof using properties

7. Ex.1 Solve for b and Justify each step
-b + 9 = 10b

8. Ex.2 Solve for x and justify each step
5x – 3 = 2x + 12

9. Ex.3 Solve for h and justify each step
$60 + $1.50h = $5.50h

10. Ex.4 Solve for y and justify each step

11. Ex.5 Solve for a and justify each step
𝑎 7 − 5 7 = 6 7

12. Ex.6 Solve for m and justify each step
𝑚 6 −7= 2 3

13. Practice: Solve for x and justify each step
2 3 𝑥− 5 8 𝑥=2

14. Ex.7 SOLVE FOR Y
4 - 4y = -4y + 4
This is called Identity, it is exactly the same on both sides. There are an infinite # of solutions. In fact, All Real Numbers will make this equation true.

15. Ex.8 SOLVE For x
3x = 3 (x+4)

16. MULTI-STEP EQUATION SUMMARY
3 Types 1) 1 solution 2) ∞ Solutions- Identity 3) No Solution

17. Will be graded as a Classwork Grade- 10%
Classwork/ homework
Handout: “Solving Multi-Step Equations” You must show Work on Another page with Justifications
Will be graded as a Classwork Grade- 10%