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 Addition Property of Equality?

Back

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

Front

What is the Multiplication Property of Equality?

Back

If a = b, then ac = bc 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 Distributive Property?

Back

a(b + c) = ab + ac for any real numbers a, b, and c.

Front

What is the Commutative Property of Addition?

Back

a + b = b + a for any real numbers a and b.

Front

What is the Commutative Property of Multiplication?

Back

a * b = b * a for any real numbers a and b.

Front

What is the Associative Property of Addition?

Back

(a + b) + c = a + (b + c) for any real numbers a, b, and c.

Front

What is the Associative Property of Multiplication?

Back

(a * b) * c = a * (b * c) for any real numbers a, b, and c.

Front

What is the Identity Property of Addition?

Back

a + 0 = a for any real number a.