Expressions: Combining Like Terms and Distributive Property

Front

What are like terms?

Back

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

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, 3x + 5x = (3 + 5)x = 8x.

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 each term inside a parenthesis.

Front

Simplify: 4x + 3x - 2x

Back

5x.

Front

Simplify: 7y + 2y - 4y

Back

5y.

Front

What is the first step in simplifying an expression?

Back

Identify and combine like terms.

Front

Simplify: 2(3x + 4)

Back

6x + 8.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and applying the Distributive Property.

Front

If you have 5x + 3y - 2y, what is the simplified expression?

Back

5x + y.

Front

What is the perimeter of a triangle with sides represented by 3k, 4k, and 5k?

Back

12k.