Justify steps of simple equations (AKS 7)

Front

What is the Addition Property of Inequality?

Back

If a < b, then a + c < b + c for any real number c.

Front

What is the Subtraction Property of Inequality?

Back

If a < b, then a - c < b - c for any real number c.

Front

What is the Addition Property of Equality?

Back

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

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the Multiplication Property of Inequality?

Back

If a < b and c > 0, then ac < bc.

Front

What is the Division Property of Inequality?

Back

If a < b and c > 0, then a/c < b/c.

Front

What is the Multiplication Property of Equality?

Back

If a = b, then ac = bc for any real 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 Substitution Property?

Back

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

Front

What is the purpose of justifying steps in solving equations?

Back

To provide a logical reasoning for each step taken in the solution process.