ALGEBRAIC PROPERTIES OF EQUALITY

 

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