Distributive Property

Front

What is the Distributive Property?

Back

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

Front

How do you apply the Distributive Property to the expression 3(x + 4)?

Back

3(x + 4) = 3x + 12.

Front

What is the result of applying the Distributive Property to -2(5y - 3)?

Back

-2(5y - 3) = -10y + 6.

Front

What does it mean to 'distribute' in mathematics?

Back

To 'distribute' means to multiply each term inside the parentheses by the term outside the parentheses.

Front

If you have the expression 4(2x + 3y), what is the expanded form?

Back

4(2x + 3y) = 8x + 12y.

Front

What is the result of -1(3x - 7)?

Back

-1(3x - 7) = -3x + 7.

Front

How do you simplify the expression 5(-2 + 3x)?

Back

5(-2 + 3x) = -10 + 15x.

Front

What is the equivalent expression for 6(4 - x)?

Back

6(4 - x) = 24 - 6x.

Front

What is the result of applying the Distributive Property to 7(2y + 5)?

Back

7(2y + 5) = 14y + 35.

Front

If you have the expression -3(4x - 2y), what is the expanded form?

Back

-3(4x - 2y) = -12x + 6y.