Addition Property of Equality If a = b, then a + c = b + c.
Subtraction Property of Equality If a = b, then a – c = b – c.
Multiplication Property of Equality If a = b, then a * c = b * c.
Division Property of Equality If a = b, then a/c = b/c.
Substitution Property of Equality If a = b, then you may replace b with a in
any expression.
Transitive Property of Equality If a = b and b = c, then a = c.
Commutative Property of Addition a + b = b + a
Associative Property of Addition (a + b) + c = a + (b + c)
Commutative Property of Multiplication a * b = b * a
Associative Property of Multiplication (a * b) * c = a * (b * c)
Distributive Property a(b + c) = a*b + a*c