Property of Equality

Front

What is the Subtraction Property of Equality?

Back

If you subtract the same number from both sides of an equation, the two sides remain equal. For example, if a = b, then a - c = b - c.

Front

What is the Addition Property of Equality?

Back

If you add the same number to both sides of an equation, the two sides remain equal. For example, if a = b, then a + c = b + c.

Front

What is the Multiplication Property of Equality?

Back

If you multiply both sides of an equation by the same non-zero number, the two sides remain equal. For example, if a = b, then a * c = b * c.

Front

What is the Division Property of Equality?

Back

If you divide both sides of an equation by the same non-zero number, the two sides remain equal. For example, if a = b, then a / c = b / c.

Front

What does the Symmetric Property of Equality state?

Back

If a = b, then b = a. The order of equality can be reversed.

Front

What does the Reflexive Property of Equality state?

Back

For any number a, a = a. Any quantity is equal to itself.

Front

What does the Transitive Property of Equality state?

Back

If a = b and b = c, then a = c. This property allows us to link equalities.

Front

Provide an example of the Subtraction Property of Equality.

Back

If 10 = 10, then 10 - 2 = 10 - 2, which simplifies to 8 = 8.

Front

Provide an example of the Addition Property of Equality.

Back

If 5 = 5, then 5 + 3 = 5 + 3, which simplifies to 8 = 8.

Front

Provide an example of the Multiplication Property of Equality.

Back

If 4 = 4, then 4 * 2 = 4 * 2, which simplifies to 8 = 8.