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 or difference.

Front

Expand and simplify: 4(7x + 3)

Back

28x + 12

Front

Expand and simplify: 7a(3b - 2c + 4)

Back

21ab - 14ac + 28a

Front

Expand and simplify: 6(x + y + 7)

Back

6x + 6y + 42

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 and simplify: 20y - 10y - 5y

Back

5y(4 - 2 - 1)

Front

Expand and simplify: 24x + 32x - 16

Back

8(3x + 4x - 2)

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

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 and simplify: 3(2x + 4)

Back

6x + 12