Algebra Properties and Proofs

Front

What is the Reflexive Property of Equality?

Back

The Reflexive Property states that any quantity is equal to itself, e.g., a = a.

Front

What does the Symmetric Property of Equality state?

Back

The Symmetric Property states that if a = b, then b = a.

Front

Define the Transitive Property of Equality.

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

What is the Substitution Property of Equality?

Back

The Substitution Property states that if a = b, then b can be substituted for a in any expression.

Front

Explain the Addition Property of Equality.

Back

The Addition Property states that if a = b, then a + c = b + c for any c.

Front

What is the Multiplication Property of Equality?

Back

The Multiplication Property states that if a = b, then a * c = b * c for any c.

Front

Define the Division Property of Equality.

Back

The Division Property states that if a = b and c ≠ 0, then a / c = b / c.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac.

Front

If k = 3, what does the Symmetric Property tell us?

Back

It tells us that 3 = k.

Front

If 7m = 35, what can we conclude using the Division Property?

Back

We can conclude that m = 5.