Combining Like Terms

Are the terms 7x³ and 3x⁷ like terms?

• Yes

• No

Answer explanation

the x's need to have the same exponent. The little numbers do not match.

Tags

CCSS.6.EE.A.2B

Are the terms 4x³ and 3x³ like terms?

• Yes

• No

Answer explanation

the x's need to have the same exponent. The little numbers match. This means we can combine them!

Tags

CCSS.6.EE.A.2B

What do 4x³ and 3x³ combine to?

• 7x³

• x³

• 7x⁶

• x⁶

Answer explanation

We add the big numbers (coefficients), we leave the little numbers (exponents) the same).

Tags

CCSS.3.OA.B.5

• 0

• 1

• 2

• 3

Answer explanation

7x and 8x are like terms.

x⁶ and 7x⁶ are like terms.

There are no other like terms in the list.

Tags

CCSS.6.EE.A.2B

Are xyz and zyx like terms?

• Yes

• No

Answer explanation

The order of the letters doesn't matter. You can rewrite them.

Just like 2(3)(4) = 24

4(3)(2) = 24

The order of the numbers didn't matter.

Tags

CCSS.6.EE.A.2B

• 5x²

• 5x² + x

• 5x⁴

• 5x⁴ - x

Answer explanation

Remember, if something adds to 0, it disappears.

7x -7x = 0 so we don't write it.

Tags

CCSS.7.EE.A.1

• 10xy + 8y²

• 10xy + 7y²

• 4xy + 8y²

• 4xy + 7y²

Tags

CCSS.7.EE.A.1

• 7x² - y²

• 6x²y²

• 3x² + 3y²

• 4x² + 2y²

• 4x

• 2x² + 4x - 2y²

• 2x² + 4x - 3y²

• 3x² + 4x - 2y²

Tags

CCSS.7.EE.A.1

• 14xy + 8y²

• 7y²

• 8y²

• xy + 7y²

Tags

CCSS.7.EE.A.1