Combining Like Terms & Distributing

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 3y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. 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 parentheses.

Front

Simplify: 5x + 3y + 5 + 4x + 3y + y + 8

Back

9x + 7y + 13

Front

Combine like terms: 3x + 2x + 3y - 7y

Back

5x - 4y

Front

Simplify: 4x² - 3x + 11 - 2x

Back

4x² - 5x + 11

Front

Simplify: 3 + 5x + 8 - 2x

Back

11 + 3x

Front

Simplify: -x² + 2 - 1 + 6x² - 4x²

Back

x² + 1

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as concise as possible.