Algebraic Proofs

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

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 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 Transitive Property of Equality?

Back

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

Front

What does it mean to use the Substitution Property of Equality?

Back

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

Front

Provide an example of the Symmetric Property of Equality.

Back

If 5 = x, then x = 5.

Front

Provide an example of the Transitive Property of Equality.

Back

If x = 3 and 3 = y, then x = y.

Front

What is the purpose of algebraic proofs?

Back

To demonstrate the validity of mathematical statements using logical reasoning.