Properties of Equality

Front

What is the Subtraction Property of Equality?

Back

If a = b, then a - c = b - c for any real number c.

Front

What is the Distributive Property of Equality?

Back

a(b + c) = ab + ac.

Front

What is the Commutative Property of Addition?

Back

a + b = b + a.

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c for any real number c.

Front

What is the Division Property of Equality?

Back

If a = b and c ≠ 0, then a/c = b/c.

Front

What is the Identity Property of Addition?

Back

For any real number a, a + 0 = a.

Front

What is the Additive Inverse Property?

Back

For any real number a, a + (-a) = 0.

Front

What is the Associative Property of Addition?

Back

(a + b) + c = a + (b + c).

Front

What is the Multiplicative Identity Property?

Back

For any real number a, a × 1 = a.

Front

What is the Multiplicative Property of Equality?

Back

If a = b, then ac = bc for any real number c.