Algebraic Proofs

Front

What is the Transitive Property?

Back

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

Front

What does the Reflexive Property state?

Back

For any number a, a = a.

Front

What is the Substitution Property?

Back

If a = b, then b can be substituted for a in any expression.

Front

What is the Symmetric Property?

Back

If a = b, then b = a.

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac.

Front

What is the Addition Property of Equality?

Back

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

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the Multiplication Property of Equality?

Back

If a = b, then ac = bc.

Front

What is the Division Property of Equality?

Back

If a = b and c ≠ 0, then a/c = b/c.

Front

What is a proof in mathematics?

Back

A logical argument that establishes the truth of a statement.