1. Properties of Algebra

2. Commutative Property Means to MOVE AROUND !
The order is different but the answer is the same!
7 + 9 = 9 + 7
2 ● 3 = 3 ● 2
Commutative Property

3. Associative Property Associative = hangs out together
The (groups) change!
The order does NOT!!!
3 + (9 + 4) = (3 + 9) + 4
8 ● (5 ● 2) = (8 ● 5) ● 2
Associative Property

4. That usually means it is an Identity
The sum/product is the same!
Id. of +
Adding 0 to a number
= 13
Id. of x
Multiplying 1 to a number
7 ● 1 = 7
Notice that there are MORE numbers on one side of the equal sign than the other?!
That usually means it is an Identity
Identity Property

5. Which property (if any) are these?
15 + (5 + 8) = (15 + 5) + 8 A
20 – (12 – 3) = (20 – 12) - 3
Not
= 34 Id
20 ÷ 5 = 5 ÷ 20
Not = C
(2 + 3) + 5 = 5 + (2 + 3) C
Which property (if any) are these?

6. Simplifying as much as possible!
Associative
p ● (1 ● 6)
p ● 6
(5 + x) + 9
Commutative
(5 + 9) + x
14 + x
Simplifying as much as possible!