PHS: Algebraic Properties 10.15 Grade

Front

What is the Substitution Property?

Back

If x = y, then x can be replaced by y in any expression.

Front

What does the Addition Property of Equality state?

Back

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

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac; it allows you to distribute a multiplier across terms in parentheses.

Front

What is the Multiplication Property of Equality?

Back

If a = b, then ac = bc for any 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 Transitive Property?

Back

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

Front

What is the Symmetric Property?

Back

If a = b, then b = a.

Front

What is the Reflexive Property?

Back

For any number a, a = a.

Front

What is the Commutative Property of Addition?

Back

a + b = b + a; the order of addition does not change the sum.

Front

What is the Commutative Property of Multiplication?

Back

ab = ba; the order of multiplication does not change the product.