Properties of Equality for Solving Equations

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.

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.

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.

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.

Front

What does the Substitution Property state?

Back

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

Front

What is the Reflexive Property of Equality?

Back

Any quantity is equal to itself; for example, x = x.

Front

What is the Symmetric Property of Equality?

Back

If A = B, then B = A.

Front

What is the Transitive Property of Equality?

Back

If A = B and B = C, then A = C.

Front

Provide an example of the Addition Property of Equality.

Back

If 4x - 5 = 17, then adding 5 to both sides gives 4x = 22.

Front

Provide an example of the Substitution Property.

Back

If t = 72, then t + 16 = 88 can be rewritten as 72 + 16 = 88.