Intro to Proofs - Properties of Equality

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 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 Reflexive Property of Equality?

Back

For any real number a, a = a.

Front

What is the Substitution Property of Equality?

Back

If a = b, then a can be substituted for b in any equation or expression.

Front

What is the Identity Property of Addition?

Back

For any number a, a + 0 = a.

Front

What is the Additive Inverse Property?

Back

For any number a, a + (-a) = 0.

Front

If 2x + 3 = 11, what is x?

Back

x = 4.

Front

If 5y = 20, what is y?

Back

y = 4.

Front

If a + b = c, what is b?

Back

b = c - a.