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 Division Property of Equality?

Back

If a = b, then a / c = b / c for any number c (c ≠ 0).

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 Reflexive Property of Equality?

Back

For any number a, a = a.

Front

What is the Identity Property of Addition?

Back

For any number a, a + 0 = a.

Front

What is the Identity Property of Multiplication?

Back

For any number a, a * 1 = a.

Front

Provide an example of the Substitution Property of Equality.

Back

If a = b, then a can be replaced by b in any expression.

Front

What is the purpose of algebraic proofs?

Back

To demonstrate the validity of mathematical statements using logical reasoning.

Front

How do you apply the Addition Property of Equality in an equation?

Back

You can add the same value to both sides of the equation to maintain equality.