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 number by a sum by distributing the multiplication to each addend.

Front

Expand: 5(2x + 4)

Back

10x + 20

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Expand: 6(3y + 2)

Back

18y + 12

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Expand: 4(5 + 2x)

Back

20 + 8x

Front

What is the result of applying the Distributive Property to 7(3 + 2)?

Back

21 + 14 = 35

Front

Expand and simplify: 2(3x + 5)

Back

6x + 10

Front

What is the first step in using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

Expand: 3(4x - 1)

Back

12x - 3