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 3(x + 4)?

Back

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

Front

What is the result of distributing 4(2y - 5)?

Back

4(2y - 5) = 8y - 20.

Front

Which expression is equivalent to 7(x + 2)?

Back

7(x + 2) = 7x + 14.

Front

If you distribute 5(a + 3b), what do you get?

Back

5(a + 3b) = 5a + 15b.

Front

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

Back

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

Front

Distribute: 2(3x + 4y)

Back

2(3x + 4y) = 6x + 8y.

Front

What is the equivalent expression for 6(x + 3y)?

Back

6(x + 3y) = 6x + 18y.

Front

How do you simplify 10(2x - 1)?

Back

10(2x - 1) = 20x - 10.

Front

What is the result of distributing -3(4 - x)?

Back

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