Combining Like Terms with Distributive Property 1

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: 5(2x + 3) - 5

Back

10x + 10

Front

Simplify: 5(-2x + 3) - 4(-3x - 2)

Back

2x + 23

Front

Simplify: 4(2x - 3) + 6(-2x - 3)

Back

-4x - 30

Front

Simplify: -4 + 3(3x - 4)

Back

9x - 16

Front

Simplify: 15 - 4(-3x + 2)

Back

12x + 7

Front

What does 'combining like terms' mean?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What are like terms?

Back

Like terms are terms that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you apply the Distributive Property in an expression?

Back

To apply the Distributive Property, multiply the term outside the parentheses by each term inside the parentheses.

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

The first step is to distribute the multiplication across the terms inside the parentheses.