Algebraic Proofs

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 Division Property of Equality?

Back

If a = b and c ≠ 0, then a/c = b/c.

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 Multiplication Property of Equality?

Back

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

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 Transitive Property of Equality?

Back

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

Front

What is the first statement in the reason column of a proof?

Back

Given.

Front

What does it mean to 'prove' in mathematics?

Back

To demonstrate the truth of a statement using logical reasoning and evidence.

Front

What is an algebraic proof?

Back

A logical argument that uses algebraic expressions and properties to show that a statement is true.