Grade 8 · Math

8th grade Simplify expressions: distribute and combine like terms worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Simplify expressions: distribute and combine like terms

Grade 8 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Ari takes away a whole bracket in 5x − (2x − 3). How would Ari write 5x − (2x − 3) with as few terms as possible?
Esme takes away a whole bracket in −2x − (4x − 5) + 6. How would Esme write −2x − (4x − 5) + 6 with as few terms as possible?
Jun takes away a whole bracket in 9x − (5x + 2) − 7. How would Jun write 9x − (5x + 2) − 7 with as few terms as possible?
Milo spreads both brackets in 3(2x + 1) − 5(x − 2), then joins like terms. How would Milo write it with as few terms as possible?
Pia's fraction card says 0.5(4x − 6) + 0.5x. How would Pia write it with as few terms as possible?
Ren's fraction card says (1/3)(6x + 9) − x. How would Ren write it with as few terms as possible?
Tala's fraction card says 0.25(8x − 12) + 1.5x + 4. How would Tala write it with as few terms as possible?
Zee's fraction card says (2/3)(3x − 6) + x. How would Zee write it with as few terms as possible?
9.
Ari checks a puzzle card: which expression is equal to 4(x − 2) − 2(x + 1)?
- 2x − 6
- 2x − 10
- 6x − 10
- 2x − 1
10.
Bo checks a puzzle card: which expression is equal to 3(x + 4) − (2x − 5)?
- x − 1
- x + 7
- x + 17
- 5x + 17

Simplify expressions: distribute and combine like terms. Every version has 10 questions, and the answer key prints on the second page.

Standard: state-only (CCSS 7.EE.A.1)

term: One piece of an expression, with its sign: −3x or +8.

like terms: Terms with the same letter part: 6x and 2x, or −4 and −3.

spread: Multiply the number outside a bracket by every term inside.

as few terms as possible: Every like term joined: one x term and one plain number.

Your child added x terms and plain numbers together as if they were the same kind of piece.

Your child dropped a minus sign while combining.

Your child multiplied only the first term inside the bracket.

Ask: can 3 bags and 5 loose marbles make 8 bags?

Ask: which terms have a minus in front of them?

Ask: if 3 bags each hold x marbles and 2 stickers, how many stickers are there?

What is the most common mistake with simplify expressions: distribute and combine like terms?

Your child added x terms and plain numbers together as if they were the same kind of piece.

How can I help my child with simplify expressions: distribute and combine like terms?

Ask: can 3 bags and 5 loose marbles make 8 bags?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records