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

Simplify the expression: 8(5 + w)

Back

40 + 8w

Front

Simplify the expression: 4(5b - 6f - c)

Back

20b - 24f - 4c

Front

Simplify the expression: 6(x - 3 + 5y)

Back

6x - 18 + 30y

Front

Simplify the expression: 3(4 + 7y)

Back

12 + 21y

Front

Simplify the expression: 12(x - 7y + 2z)

Back

12x - 84y + 24z

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform operations to make it easier to understand or solve.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the first step in using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

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

Back

4(2 + 3) = 4(5) = 20.