September 13th Flashcardziz Algebraic Proofs

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 Transitive Property of Equality?

Back

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

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 Multiplication Property of Equality?

Back

If a = b, then a * c = b * c for any number 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 Reflexive Property of Equality?

Back

For any number a, a = a.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac.

Front

Simplify the expression: 6(x + 3)

Back

6x + 18.

Front

If 9 = x, what can we conclude?

Back

x = 9 (Symmetric Property of Equality).