The 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

Which expression is equivalent to 3(4 + 5)?

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What does it mean to simplify an expression using the Distributive Property?

Back

To simplify means to expand the expression by multiplying the term outside the parentheses by each term inside the parentheses.

Front

If a = 2, what is the value of 4(a + 3)?

Back

4(2 + 3) = 4*5 = 20.

Front

Fill in the blank: 5(x + 2) = __.

Back

5x + 10.

Front

Which of the following is not equivalent to 12x + 6? 6(2x + 1), 10x + 2x + 6, 3(4x + 2), 12(x + 6)

Back

12(x + 6).

Front

Use the Distributive Property to solve: 7(8 - 5).

Back

7(8 - 5) = 7*8 - 7*5 = 56 - 35 = 21.

Front

What is the result of 2(c - 8)?

Back

2(c - 8) = 2c - 16.

Front

Fill in the blank: 2(x + 7) = 2x + __.

Back

14.

Front

If 3(x + 4) = 3x + __, what is the blank?

Back

12.