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 using the Distributive Property: -8(6x + 3)

Back

-48x - 24

Front

Simplify the expression using the Distributive Property: -3(2c - 5)

Back

-6c + 15

Front

Simplify the expression using the Distributive Property: 8(4b - 5)

Back

32b - 40

Front

Simplify the expression using the Distributive Property: 2(4 + 9w)

Back

8 + 18w

Front

Simplify the expression using the Distributive Property: 8(2x + 7)

Back

16x + 56

Front

If a = 3, b = 4, simplify: 2(a + b)

Back

14

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and performing operations.

Front

What is an example of the Distributive Property in use?

Back

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

Front

How do you apply the Distributive Property to negative numbers?

Back

When applying the Distributive Property to negative numbers, distribute the negative sign as well. For example, -2(3 + 4) = -2*3 + -2*4 = -6 - 8 = -14.