Review Algebraic Proofs

Front

What is the Division Property of Equality?

Back

If a = b, then a/c = b/c for any non-zero c.

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 for any c.

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the Transitive Property of Equality?

Back

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

Front

What does 'Given' mean in algebraic proofs?

Back

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

Front

Simplify the expression using the Distributive Property: 6(x + 3)

Back

6x + 18.

Front

What is the Substitution Property?

Back

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

Front

What is the Multiplication Property of Equality?

Back

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

Front

What is the purpose of algebraic proofs?

Back

To demonstrate the validity of a mathematical statement using logical reasoning.