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 -3(2c - 5).

Back

-6c + 15

Front

Which of the following is equivalent to 4(2x + 3)?

Back

8x + 12

Front

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

Back

6x + 6y + 42

Front

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

Back

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

What is an example of using the Distributive Property with negative numbers?

Back

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

Front

How do you apply the Distributive Property to 5(x + 2y)?

Back

5(x + 2y) = 5x + 10y.