Worksheets · Pre-Algebra

Pre-Algebra one-step equations worksheet

One operation to undo. Tick the operations you have covered and print. The variable turns up on the right as often as the left, because a student who only ever sees x first starts reading position instead of structure.

Select your difficulty

Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

One‑Step Equations

Date Period

Solve each equation.

  1. a+8=9
  2. 6y=24
  3. r5=9
  4. p+3=9
  5. 5b=10
  6. x5=7
  7. b+1=4
  8. 4v=40
  9. b7=5
  10. r+11=14
  11. 3r=36
  12. r3=3
  13. p+3=6
  14. 4v=8
  15. x6=8
  16. b+11=23
  17. 9m=81
  18. y7=9
  19. 2+k=14
  20. 9k=36

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

One‑Step EquationsAnswer keyVersion 1

Date Period

Solve each equation.

  1. a+8=9{1}
  2. 6y=24{4}
  3. r5=9{45}
  4. p+3=9{6}
  5. 5b=10{2}
  6. x5=7{35}
  7. b+1=4{3}
  8. 4v=40{10}
  9. b7=5{35}
  10. r+11=14{3}
  11. 3r=36{12}
  12. r3=3{9}
  13. p+3=6{3}
  14. 4v=8{2}
  15. x6=8{48}
  16. b+11=23{12}
  17. 9m=81{9}
  18. y7=9{63}
  19. 2+k=14{12}
  20. 9k=36{4}

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

x7=13

  1. The 7 is being subtracted, so add 7 to undo it.
  2. Whatever you do to one side you do to the other.
  3. 13 + 7 = 20.

The answer is x=20.

Where students go wrong

Doing the same operation instead of the opposite one. If the equation says minus 7 you add 7, and students who subtract again end up at 6 and do not notice. The other one is on 26 = 8 + v: the answer is still 18, but seeing the number first makes people think the rules have changed.

Also called solving simple equations or inverse operations.

What you can put on this worksheet

Adding or subtracting
11+v=18 {7}
Multiplying
7v=49 {7}
Dividing
v6=7 {42}

Questions about these worksheets

Yes. Every one-step equations sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the one-step equations questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 3: adding or subtracting, multiplying and dividing. Tick as many as you want and set how many of each, or let it spread them evenly.

Doing the same operation instead of the opposite one. If the equation says minus 7 you add 7, and students who subtract again end up at 6 and do not notice. The other one is on 26 = 8 + v: the answer is still 18, but seeing the number first makes people think the rules have changed.