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 the expression: 5(3 + 2)

Back

5(3 + 2) = 5*3 + 5*2 = 15 + 10 = 25.

Front

Simplify the expression: 4(x + 6)

Back

4(x + 6) = 4x + 24.

Front

Simplify the expression: -3(2y - 4)

Back

-3(2y - 4) = -6y + 12.

Front

Simplify the expression: 7(5 - x)

Back

7(5 - x) = 35 - 7x.

Front

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

Back

To simplify an expression using the Distributive Property means to multiply the term outside the parentheses by each term inside the parentheses and combine like terms.

Front

Simplify the expression: 10(2 + 3x)

Back

10(2 + 3x) = 20 + 30x.

Front

Simplify the expression: -2(4x + 5)

Back

-2(4x + 5) = -8x - 10.

Front

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

Back

Example: -4(3 - 2x) = -12 + 8x.

Front

Simplify the expression: 6(2y + 1)

Back

6(2y + 1) = 12y + 6.