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algebraic properties
Properties of equality
Term | Definition |
---|---|
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 |