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

Apply the Distributive Property: 4(2 + 3)

Back

4(2 + 3) = 4*2 + 4*3 = 8 + 12 = 20.

Front

What is the result of applying the Distributive Property to 3(4x + 5)?

Back

3(4x + 5) = 3*4x + 3*5 = 12x + 15.

Front

Which expression is equivalent to 5(2x + 6)?

Back

5(2x + 6) = 10x + 30.

Front

What is the equivalent expression for 2(3v - 8)?

Back

2(3v - 8) = 6v - 16.

Front

Calculate: 3(2y - 7) using the Distributive Property.

Back

3(2y - 7) = 6y - 21.

Front

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

Back

To simplify means to combine like terms and apply the Distributive Property to make the expression easier to work with.

Front

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

Back

2(a + b) = 2*2 + 2*3 = 4 + 6 = 10.

Front

What is the result of 12(3y + 2)?

Back

12(3y + 2) = 36y + 24.

Front

How do you apply the Distributive Property to negative numbers?

Back

For example, -2(3 - 4) = -2*3 + -2*(-4) = -6 + 8 = 2.