Intro to Proofs - Properties of Equality

Front

What is the Addition Property of Equality?

Back

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

Front

What is the Substitution Property?

Back

If a = b, then a can be replaced by b in any expression.

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac.

Front

What is the Commutative Property of Addition?

Back

a + b = b + a.

Front

What is the Commutative Property of Multiplication?

Back

ab = ba.

Front

What is the Associative Property of Addition?

Back

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

Front

What is the Associative Property of Multiplication?

Back

(ab)c = a(bc).

Front

What is the Identity Property of Addition?

Back

a + 0 = a.

Front

What is the Identity Property of Multiplication?

Back

a × 1 = a.

Front

What is the Additive Inverse Property?

Back

a + (-a) = 0.