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

Simplify: 4(2x + 3)

Back

8x + 12

Front

Simplify: -8(6x + 3)

Back

-48x - 24

Front

Simplify: 6(x + y + 7)

Back

6x + 6y + 42

Front

Simplify: 8(4b - 5)

Back

32b - 40

Front

Simplify: 8(2x + 7)

Back

16x + 56

Front

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

Back

To simplify an expression using the Distributive Property means to apply the property to eliminate parentheses and combine like terms.

Front

If a = 3, simplify: 5(a + 2)

Back

25

Front

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

Back

For example, -3(2x - 4) simplifies to -6x + 12.

Front

How do you apply the Distributive Property to the expression 10(x + 5)?

Back

10(x + 5) simplifies to 10x + 50.