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# Algebraic Properties

### Properties used in algebra

PropertyDefinition
Associative Property of Addition (3 + 4) + 9 = 3 + (4 + 9)
Reflexive Property 841 = 841
Identity Property of Addition m + 0 = m
Addition Property of Equality x = 7, so x + 3 = 10
Commutative Property of Multiplication 4(ab) = 4(ba)
Definition of Subtraction 4 - 7 = 4 + (-7)
Associative Property of Multiplication (4a)*b = 4(ab)
Inverse Property of Multiplication 8(1/8) = 1
Multiplication Property of Equality a = 4, so 3a = 12
Distributive Property 3x - 18 = 3(x - 6)
Identity Property of Multiplication 79(1) = 79
Symmetry If q = 4, then 4 = q.
Commutative Property of Addition 3 + 7 + 12 = 12 + 7 + 3
Transitive Property If a = 3 and 3 = b, then a = b.
Inverse Property of Addition 42 + (-42) = 0
Created by: smurphy1