Properties of Equality Practice

Front

What is the Additive Property of Equality?

Back

If you add the same number to both sides of an equation, the two sides remain equal. Example: If y - 7 = 28, then y = 28 + 7.

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 Multiplicative 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 is the Distributive Property?

Back

a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the Commutative Property?

Back

The order in which you add or multiply numbers does not change the result. Example: a + b = b + a.

Front

What is the Associative Property?

Back

The way in which numbers are grouped in addition or multiplication does not change their sum or product. Example: (a + b) + c = a + (b + c).

Front

What is the Reflexive Property?

Back

Any quantity is equal to itself. Example: a = a.

Front

What is the Symmetric Property?

Back

If one quantity equals a second quantity, then the second quantity equals the first. Example: If a = b, then b = a.

Front

What is the Multiplicative Inverse?

Back

The multiplicative inverse of a number is 1 divided by that number. Example: The multiplicative inverse of 6 is 1/6.