Algebraic Properties of Equality

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 a x c= b x c

Division Property

If a=b and c doesn’t equal 0, then a/c = b/c

Reflexive Property

a=a

Symmetric Property

If a=b, then b=a

Transitive Property

If a=b and b=c, then a=c

Substitution Property

If a=b, them a maybe replaced by b in any equation ex. If x=y then 4x+2=4y+2

Distributive Property

a(b+c)= ab+ac