Grade 8 · Math

8th grade Multi-step equations with fractions, decimals and brackets worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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

Version

Multi-step equations with fractions, decimals and brackets

Grade 8 Math Worksheet

NameDate

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

Ren meets a negative number outside the brackets: -2(x + 3) + 5 = 7. What is x?
Tala's decimal puzzle sheet says 2(x − 1.5) + 4 = 11. What is x?
Ari spreads and joins to solve 2(x + 4) + 3x = 33, with a crayon behind one ear. What is x?
Bo has two kinds of x pieces in 3(x − 2) + 4x = 29. What is x?
Luz's puzzle card is 5x + 8 − 3x − 2 = 20, with a very messy middle. What is x?
Milo solves 0.5x + 1.5x + 1.2 = 5.2 on the decimal sheet. What is x?
Pia's measuring puzzle says 2.5x + 1.5x + 1 = 17. What is x?
Tala joins sixths and thirds in (2/3)x + x/6 − 2 = 8 on a paper puzzle card. What is x?
Zee faces (3/4)x + x/2 + 1/2 = 4 with halves and quarters. What is x?
10.
Bo checks four guesses for 3x + 5 − x + 2 = 31. Which value of x makes it true?
- 19
- 8
- 12
- 6

8th grade Multi-step equations with fractions, decimals and brackets worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Multi-step equations like 3(x + 2) + 4x = 31. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can join the x pieces, spread a bracket, and join the plain numbers, then undo the rest in order (4x + 7 − x + 2 = 24 is 3x + 9 = 24).
I can solve it with negatives, decimals and fractions, take a bracket away (20 − 2(x + 3) = 4), and undo a fraction bar ((x + 2)/3 + 1 = 5).
I can put my answer back into the equation to check it, and I can solve a story that gives a bracket and another x term.

Standard: 8.EE.C.7b

Words to know

like terms: Pieces of the same kind: all the x pieces together, all the plain numbers together.

distribute (spread): Multiply the number outside the brackets by every term inside.

coefficient: The number multiplying x. In 3x it is 3.

bar model (tape diagram): Two bars of equal value: the left side on top, the right side below.

undo: Do the opposite: minus undoes plus, divide undoes times.

check: Put your answer back into the equation and see that both sides match.

Common mistakes

Your child added the plain number to the x pieces.

Your child added the plain number when it had to come off, or took it off when it had to go back on.

Your child found what all the x pieces are worth together and stopped there.

What to say

Ask: which pieces can be joined, the ones with x or the ones without?

Ask: to get the x pieces alone, does this number come off or go back on?

Ask: that is what all the x pieces make; how much is just one x?

Questions parents ask

What is the most common mistake with multi-step equations with fractions, decimals and brackets?

Your child added the plain number to the x pieces.

How can I help my child with multi-step equations with fractions, decimals and brackets?

Ask: which pieces can be joined, the ones with x or the ones without?

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.

More grade 8 math

See all grade 8 math

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