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 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 first statement in the reason column of a proof?

Back

Given.

Front

What is the purpose of a proof in algebra?

Back

To demonstrate the validity of a statement or theorem using logical reasoning.

Front

How do you solve for a variable in an equation?

Back

Isolate the variable on one side of the equation using inverse operations.

Front

What is the Commutative Property of Addition?

Back

a + b = b + a for any numbers a and b.

Front

What is the Associative Property of Addition?

Back

(a + b) + c = a + (b + c) for any numbers a, b, and 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 Distributive Property?

Back

a(b + c) = ab + ac for any numbers a, b, and c.