Properties of Equality

Front

What is the Multiplication Property of Equality?

Back

If you multiply both sides of an equation by the same 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 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 does the Distributive Property state?

Back

a(b + c) = ab + ac; you can distribute a multiplier across a sum.

Front

What is the Associative Property of Addition?

Back

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

Front

What is the Reflexive Property?

Back

Any quantity is equal to itself: a = a.

Front

What is the Transitive Property?

Back

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

Front

How do you apply the Multiplication Property of Equality to solve 3x = 12?

Back

Divide both sides by 3: x = 4.

Front

How do you apply the Division Property of Equality to solve 8x = 64?

Back

Divide both sides by 8: x = 8.