Combining Like Terms

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.

Tags

CCSS.6.EE.A.2B

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, in 4k + 6k - 3k, combine the coefficients: (4 + 6 - 3)k = 7k.

Tags

CCSS.7.EE.A.1

Front

Simplify: 4k + 6k - 3k + 3s - s

Back

7k + 2s

Tags

CCSS.7.EE.A.1

Front

What does it mean if terms cannot be simplified?

Back

If terms cannot be simplified, it means they do not have the same variable or power, and thus cannot be combined. For example, 4f^2 + 3h - g + f cannot be simplified.

Tags

CCSS.6.EE.A.4

Front

Simplify: 4f^2 + 3h - g + f

Back

Can't be simplified

Tags

CCSS.7.EE.A.1

Front

Simplify: 12b + 4b^2 - 10b

Back

4b^2 + 2b

Tags

CCSS.7.EE.A.1

Front

What is the first step in simplifying an expression with like terms?

Back

The first step is to identify and group the like terms together.

Tags

CCSS.7.EE.A.1

Front

Simplify: 4q + 4t + 3q + t

Back

7q + 5t

Tags

CCSS.7.EE.A.1

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term. For example, in 5x, 5 is the coefficient.

Tags

CCSS.6.EE.A.2B

Front

Simplify: 7y^2 - 5y + 9y - 5y^2

Back

2y^2 + 4y

Tags

CCSS.7.EE.A.1