Algebra 1 Properties

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Commutative Property of Multiplication

3 x 2 = 2 x 3

Commutative Property of Addition

5 + 4 = 4 + 5

Associative Property of Multiplication

(7 x 2) x 6 = 7 x (2 x 6)

Associative Property of Addition

(8 + 7) + 1 = 8 + (7 + 1)

Reflexive Property of Equality

3 = 3

Transative Property of Equality

If x = y and y = 3 then x = 3

Symmetric Property of Equality

If 7 = a than a = 7

Substitution Property

3 - (4 + 5) = 3 - 9

Identity Property of Addition

3 + 0 = 3

Definition of Subtraction

3 - 7 = 3 + -7

Identity Property of Multiplication

5 x 1 = 5

Multiplicative Property of Zero

7 x 0 = 0

Multiplicative Property of Negative 1

7 x -1 = -7

Property of Reciprocals

2 x 1/2 = 1

Property of the Opposites

-(7 + 8) = -7 + -8

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