Worksheets · Algebra 1

Literal equations worksheet

Exactly the same moves as a normal equation, with letters where the numbers usually are. That is the only difficulty: there is nothing to work out at the end, so students think they have not finished.

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

Literal Equations

Date Period

Solve for the letter shown.

  1. Solve y=qx+a for x
  2. Solve sx+m=w for x
  3. Solve d=cp for c
  4. Solve y=cx+a for x
  5. Solve y=rx+p for x
  6. Solve y=wx+d for x
  7. Solve cx+s=p for x
  8. Solve y=vx+d for x
  9. Solve w=vq for v
  10. Solve a=vk for v
  11. Solve cx+r=w for x
  12. Solve b=2n+2k for k
  13. Solve t=vd for v
  14. Solve cx+r=p for x
  15. Solve k=2r+2q for q
  16. Solve tx+d=w for x
  17. Solve ax+w=k for x
  18. Solve vx+s=r for x
  19. Solve p=dv for d
  20. Solve y=rx+d for x

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

Sigma Prep · sigmaprep.io/worksheets

Name

Literal EquationsAnswer keyVersion 1

Date Period

Solve for the letter shown.

  1. Solve y=qx+a for xx=yaq
  2. Solve sx+m=w for xx=wms
  3. Solve d=cp for cc=dp
  4. Solve y=cx+a for xx=yac
  5. Solve y=rx+p for xx=ypr
  6. Solve y=wx+d for xx=ydw
  7. Solve cx+s=p for xx=psc
  8. Solve y=vx+d for xx=ydv
  9. Solve w=vq for vv=wq
  10. Solve a=vk for vv=ak
  11. Solve cx+r=w for xx=wrc
  12. Solve b=2n+2k for kk=b2n2
  13. Solve t=vd for vv=td
  14. Solve cx+r=p for xx=prc
  15. Solve k=2r+2q for qq=k2r2
  16. Solve tx+d=w for xx=wdt
  17. Solve ax+w=k for xx=kwa
  18. Solve vx+s=r for xx=rsv
  19. Solve p=dv for dd=pv
  20. Solve y=rx+d for xx=ydr

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

How to do these

Solve ax+b=c for x

  1. Subtract b from both sides.
  2. That leaves ax = c - b.
  3. Divide both sides by a.

The answer is x=cba.

Where students go wrong

Dividing only part of the side. From ax = c - b, dividing by a gives (c - b)/a, not c - b/a. The whole side goes over the a, which is why the parenthesis matters even when you do not write one.

Also called solving for a variable, rearranging formulas or changing the subject.

Questions about these worksheets

Yes. Every literal 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.

Algebra 1 is usually taken around 8th or 9th 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 literal 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.

Dividing only part of the side. From ax = c - b, dividing by a gives (c - b)/a, not c - b/a. The whole side goes over the a, which is why the parenthesis matters even when you do not write one.