### Addition Property of Equality: add the same thing to both sides If a

```Addition Property of Equality: add the same thing to both sides
If a = c, then a +b = c + b
Subtraction Property of Equality: subtracting the same thing from both sides
If a = c, then a ­ b = c ­ b
Multiplication Property of Equality: multiplying the same thing on both sides
If a = c, then ab = cb
Division Property of Equality: dividing both sides by the same thing
If a = c, then a/b = c/b
1
Distributive Property of Equality: distributing throughout the parentheses
If a(b + c) = ab + ac
Commutative Property of Equality: changes the order
3 + 2 = 2 + 3
Associative Property of Equality: changes the grouping
2 +(3 + 4) = (2 + 3) + 4
2
Reflexive: a quantity is equal to itself
3 = 3
Symmetric Property: allows you to flip over the equal sign
If 3 = 2 + 1, then
2 + 1 = 3
Transitive Property: transfers equality
If a = b, and b = c, then a = c
3
Properties
Ex. 1: x + 5 = 15
Expression
Expression
Action Plan
Property
4
Ex. 2: x + 2.3 = ­7.4
Expression
Expression
Action Plan
Properties
5
Ex. 3: x ­ 15 = ­8
Expression
Expression
Action Plan
Properties
6
Ex. 4: 3x = ­ 15
Expression
Expression
Action Plan
Properties
7
Ex 5: Expression
Expression
Action Plan
Properties
8
ex. 6: 7 + 5 = 3x
Expression
Expression
Action Plan
Properties
9
Ex. 7: 23 + h ­ 9 = 2
Expression
Expression
Action Plan
Properties
10
Ex. 8: ­ 10 = w ­ 32 + 6
Expression
Expression
Action Plan
Properties
11
```