Properties Of Equality

Addition Property

Addition Property

If a=b and c=d then a+c=b+d

Subtraction Property

If a=b and c=d then a-c=b-d

Multiplication Property

If a=b then ca=cb

Division Property

If a=b then c≠0 then a/c = b/c

Substitution Property

If a=b then either a or b may be substituted for the other in any equation (or inequality)

Reflexive Property

a=a

Symmetric Property

If a=b then b=a

Transitive Property

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

Distributive Property

If 4(x-2), then 4(x-2) = 4x - 8