Algebraic Proofs

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

Define the Addition Property of Equality.

Back

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

Front

What is the first step in an algebraic proof?

Back

Given: The initial information or assumptions.

Front

Solve for x: 3x - 7 = 32.

Back

x = 13.

Front

What is the purpose of an algebraic proof?

Back

To demonstrate the truth of a mathematical statement using logical reasoning.

Front

What is the Transitive Property of Equality?

Back

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

Front

Define the Subtraction Property of Equality.

Back

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

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

Solve for x: 5x + 3 = 18.

Back

x = 3.