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: 6(x + 1)

Back

6x + 6

Front

Apply the Distributive Property: 1/2(⅗x - 8)

Back

(1/2 * ⅗x) - (1/2 * 8) = ⅖x - 4

Front

Simplify: 6(p + 6) - (p - 6)

Back

6p + 36 - p + 6 = 5p + 42

Front

What is the result of ½(8x + 2)?

Back

4x + 1

Front

Apply the Distributive Property: 7a(3b - 2c + 4)

Back

21ab - 14ac + 28a

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the first step in applying the Distributive Property?

Back

Identify the term outside the parentheses and the terms inside the parentheses.

Front

How do you combine like terms?

Back

Add or subtract the coefficients of the like terms while keeping the variable part the same.