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 Reflexive Property?

Back

For any number a, a = a.

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 Symmetric Property?

Back

If a = b, then b = a.

Front

What is the Transitive Property?

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

What is the Subtraction Property of Equality?

Back

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

Front

What is the purpose of algebraic proofs?

Back

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

Front

What is an example of the Reflexive Property?

Back

If x = x, then x is equal to itself.

Front

How do you apply the Addition Property of Equality?

Back

To add the same value to both sides of an equation to maintain equality.