Algebraic Properties of Equality

Addition Property

If a=b, then a+c=b+c

Subtration 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

Reflexive Property

For any real number a, 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, then a may be substituted for b iin any equation or expression