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 ac = bc

division property

if a = b, then a/c = b/c

distributive property

if a(b + c), then a(b + c) is ab + ac

substitution property

if a = b, then a may be replaced by b in any expression or equation

reflexive property

a value will always equal itself

symmetric property

if a = b, then b = a

transitive property

if a = b and b = c, then a = c