Grade 8 · Math

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

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Simplify expressions: distribute and combine like terms

Grade 8 Math Worksheet - Challenge Me

NameDate

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

Jun's hardest card has a bracket inside a bracket: 2[3(x − 1) + x]. How would Jun write it with as few terms as possible?
Kira's hardest card has a bracket inside a bracket: 3[2(x + 4) − x]. How would Kira write it with as few terms as possible?
Luz's hardest card has a bracket inside a bracket: −2[4(x − 2) + x]. How would Luz write it with as few terms as possible?
Milo's hardest card has a bracket inside a bracket: 4[2(x + 3) + 2x]. How would Milo write it with as few terms as possible?
Noah's rug is a rectangle 2x + 3 units long and x − 1.5 units wide. What is its perimeter, as an expression with as few terms as possible?
Pia's quilt is a rectangle 3x − 1 units long and x + 4 units wide. What is its perimeter, as an expression with as few terms as possible?
Ren's window is a rectangle 1.5x + 2 units long and 2x − 0.5 units wide. What is its perimeter, as an expression with as few terms as possible?
Zee wants 3(x − ?) − x to equal 2x − 12 for every x. What number goes in the box marked ?
Ari wants 4(x − ?) + 2x to equal 6x − 20 for every x. What number goes in the box marked ?
Bo wants 5(x − ?) − x to equal 4x − 15 for every x. What number goes in the box marked ?

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.

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