Algebraic Proofs

Front

What is the Addition Property of Equality?

Back

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

Front

What is the Transitive Property?

Back

For any numbers a, b, and c, if a = b and b = c, then a = c.

Front

What is always the 1st statement in the reason column of a proof?

Back

Given.

Front

What is the Multiplication Property of Equality?

Back

If a = b, then ac = bc.

Front

What is the Reflexive Property of Equality?

Back

For any number a, a = a.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the Substitution Property of Equality?

Back

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

Front

What is the Identity Property of Addition?

Back

For any number a, a + 0 = a.

Front

What is the Identity Property of Multiplication?

Back

For any number a, a × 1 = a.

Front

What is the Division Property of Equality?

Back

If a = b and c ≠ 0, then a/c = b/c.