Algebraic Proofs

Front

What is the Addition Property of Equality?

Back

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

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the Multiplication Property of Equality?

Back

If a = b, then a * c = b * c for any 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 Transitive Property?

Back

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

Front

What is the Reflexive Property?

Back

For any number a, a = a.

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 does 'Given' mean in proofs?

Back

It refers to the information that is provided at the start of a proof.

Front

What does 'Prove' mean in proofs?

Back

It refers to the statement that needs to be demonstrated as true.