Properties of Equality

Additive Property

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

Subtractive Property

If a = b, then a - c = b - c.

Multiplication Property

If a = b, then a • c = b • c.

Division Property

If a = b, then a ÷ c = b ÷ c.

Transitive Property

If A = B and B = C, then A = C.

Substitution Property

If A = B, we can substitute A with B or B with A in any equation.

Reflexive Property

Showing that a number or variable is equal to itself.

Symmetric Property

If a = b, then b = a.