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# algebraic properties

### Properties of equality

TermDefinition
Addition Property If a = b, then a + c = b + c
Subtraction Property If a = b, then a - c = b - c
Multiplication Property If a = b, then ac = bc
Division Property If a = b and c does not equal 0, then a/c = b/c
Distributive Property a(b + c) = ab + ac a(b - c) = ab - ac
Substitution Property If a = b, then b can be substituted in for a in any expression or equation
Reflexive Property For any real number, a = a
Symmetric Property If a = b, then b = a
Transitive Property If a = b, and b = c, then a = c
Created by: mokelly