1. Proofs!!!
Ok just little ones :)

2. Properties of Equality
Addition Property (APOE)
If a = b, then a + c = b + c
Subtraction Property (SPOE)
If a = b, then a - c = b - c
Multiplication Property (MPOE)
If a = b, then a * c = b * c
Division Property (DPOE)
If a = b and c ≠ 0, then

3. Properties Of Equality
Reflexive Property
a = a
Symmetric Property
If a = b then b = a
Transitive Property
If a = b and b = c then a = c
Substitution Property
If a = b, then b can replace a in any expression

4. Distributive Property
If a(b + c) = ab + ac
If a(b - c) = ab - ac

5. Properties of Congruence
Definition of Congruence
To move between and equal sign (=) and a congruency sign (≅) you use the
Def of ≅
Note : Properties of equality can only be used with =

6. Reflexive Property of ≅
Symmetric Property of ≅
Transitive Property of ≅

7. Identify the Property Used
1.) 2x + 9 = 19, then 2x = 10
SPOE
2.)
Transitive POC
3.)
Symm POE

8. You Try 4.) 5.) 6.) 7.) 1.) Symm POC 2.) Distributive 3.) MPOE
4.) Ref POE

9. Algebra Proofs

10. Algebra Proof

11. Justify Step When solving an equation
What is the value of x? Justify each step.

12. You Try
What is the value of x? Justify

13. Proofs!
A two - Coolum proof is set up with a statements Coolum and a reason Coolum. Each statement follows logically from the above statements.

18. The End