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

Use the Distributive Property to simplify: 4(3 + 5)

Back

4(3 + 5) = 4*3 + 4*5 = 12 + 20 = 32.

Front

Which expression is equivalent to 2(3x + 4)?

Back

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

Front

Fill in the blank: 7(x + 2) = __ + 14.

Back

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

Front

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

Back

Factoring an expression means rewriting it as a product of its factors, such as turning 12x + 16 into 4(3x + 4).

Front

Use the Distributive Property to solve: 5(a + 6)

Back

5(a + 6) = 5a + 30.

Front

Which of the following is equivalent to 10x - 8?

Back

2(5x - 4).

Front

What is the result of applying the Distributive Property to 6(x + 3y)?

Back

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

Front

Fill in the blank: 3x(2y + 1) = __ + 3x.

Back

3x(2y + 1) = 6xy + 3x.

Front

What is the equivalent expression for 5(2x + 3)?

Back

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