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Properties of Algebra
AB
Commutative of Addition3 + 4 = 4 + 3
Commutative of Multiplication5•8 = 8•5
Associative of Addition(x + 2) + 3 = x + (2 + 3)
Associative of Multiplication3•(2•m) = (3•2)•m
Identity of Addition5 + 0 = 5
Identity of Multiplication7•1 = 7
Inverse of Addition4 + -4 = 0
Inverse of Multiplication7 • 1/7 = 1
Distributive Property8(x + 9) = 8x + 72
Substitution Property(2+7)x = 9x
Reflexive10 = 10
SymmetricIf 1 + 2 = 3, then 3 = 1 + 2
TransitiveIf x = 4 and 4 = 5 - 1, then x = 5 - 1
AdditionIf a = b, then a + 1 = b + 1
MultiplicationIf x = y, then 2x = 2y
SubtractionIf x + 7 = 10, then x = 3
DivisionIf 5x = 20, then x = 4
Property of Zeroa • 0 = 0

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