4-2 Properties of Equality

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 happens if you add 4 to one side of an equation?

Back

You must also add 4 to the other side to maintain 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.

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

If 6x + 4 = 34, what is the first step to solve for x?

Back

Subtract 4 from both sides to get 6x = 30.

Front

If you have the equation y - 6 = 20, what can you do to isolate y?

Back

Add 6 to both sides to get y = 26.

Front

Is it correct to add different numbers to both sides of an equation?

Back

No, that would change the equality.

Front

What does it mean to maintain equality in an equation?

Back

It means that both sides of the equation must remain equal after performing operations.

Front

If you have the equation 7n = 28, what is n?

Back

Divide both sides by 7 to find n = 4.