Literal equations worksheet for Algebra 1

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.

Also taught in Pre-Algebra, at its own level and with its own examples.

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.



Sigma Prep · sigmaprep.io/worksheets Name Literal Equations Date Period Solve for the letter shown. Solve a formula for a letter Solve $y = 7 x + a$ for $x$ Solve for $F$ : $C = \frac{5}{9} (F - 32)$ Solve $n x - 5 a = m$ for $x$ Solve for $h$ : $V = π r^{2} h$ Solve $s = 3 p + 3 b$ for $b$ Solve for $y$ : $9 x + 6 y = 17$ Solve $r = 3 n p$ for $n$ Solve for $y$ : $5 x - 2 y = - 15$ Solve $y = 4 x - q$ for $x$ Solve for $h$ : $A = \frac{1}{2} b h$ Solve $d x + 7 p = t$ for $x$ Solve for $y$ : $- 8 x + 4 y = - 6$ Solve $v x - 3 p = n$ for $x$ Solve for $t$ : $d = r t$ Solve when the letter appears twice Solve for $x$ : $3 x + a = 4 x + b$ Solve for $h$ : $S = 2 π r h + 2 π r^{2}$ Solve for $x$ : $y = \frac{x + 1}{x - 2}$ Solve for $x$ : $m x - n = p x + q$ Solve for $x$ : $2 x + k = x + h$ Solve for $x$ : $a x + b = c x + d$ 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.

Solve a formula for a letter
Solve $y = 7 x + a$ for $x$
Solve for $F$ : $C = \frac{5}{9} (F - 32)$
Solve $n x - 5 a = m$ for $x$
Solve for $h$ : $V = π r^{2} h$
Solve $s = 3 p + 3 b$ for $b$
Solve for $y$ : $9 x + 6 y = 17$
Solve $r = 3 n p$ for $n$
Solve for $y$ : $5 x - 2 y = - 15$
Solve $y = 4 x - q$ for $x$
Solve for $h$ : $A = \frac{1}{2} b h$
Solve $d x + 7 p = t$ for $x$
Solve for $y$ : $- 8 x + 4 y = - 6$
Solve $v x - 3 p = n$ for $x$
Solve for $t$ : $d = r t$

Solve when the letter appears twice
Solve for $x$ : $3 x + a = 4 x + b$
Solve for $h$ : $S = 2 π r h + 2 π r^{2}$
Solve for $x$ : $y = \frac{x + 1}{x - 2}$
Solve for $x$ : $m x - n = p x + q$
Solve for $x$ : $2 x + k = x + h$
Solve for $x$ : $a x + b = c x + d$



Sigma Prep · sigmaprep.io/worksheets Name Literal EquationsAnswer keyVersion 1 Date Period Solve for the letter shown. Solve a formula for a letter Solve $y = 7 x + a$ for $x$ $x = \frac{y - a}{7}$ Solve for $F$ : $C = \frac{5}{9} (F - 32)$ $F = \frac{9}{5} C + 32$ Solve $n x - 5 a = m$ for $x$ $x = \frac{m + 5 a}{n}$ Solve for $h$ : $V = π r^{2} h$ $h = \frac{V}{π r^{2}}$ Solve $s = 3 p + 3 b$ for $b$ $b = \frac{s - 3 p}{3}$ Solve for $y$ : $9 x + 6 y = 17$ $y = - \frac{3}{2} x + \frac{17}{6}$ Solve $r = 3 n p$ for $n$ $n = \frac{r}{3 p}$ Solve for $y$ : $5 x - 2 y = - 15$ $y = \frac{5}{2} x + \frac{15}{2}$ Solve $y = 4 x - q$ for $x$ $x = \frac{y + q}{4}$ Solve for $h$ : $A = \frac{1}{2} b h$ $h = \frac{2 A}{b}$ Solve $d x + 7 p = t$ for $x$ $x = \frac{t - 7 p}{d}$ Solve for $y$ : $- 8 x + 4 y = - 6$ $y = 2 x - \frac{3}{2}$ Solve $v x - 3 p = n$ for $x$ $x = \frac{n + 3 p}{v}$ Solve for $t$ : $d = r t$ $t = \frac{d}{r}$ Solve when the letter appears twice Solve for $x$ : $3 x + a = 4 x + b$ $x = a - b$ Solve for $h$ : $S = 2 π r h + 2 π r^{2}$ $h = \frac{S - 2 π r^{2}}{2 π r}$ Solve for $x$ : $y = \frac{x + 1}{x - 2}$ $x = \frac{2 y + 1}{y - 1}$ Solve for $x$ : $m x - n = p x + q$ $x = \frac{q + n}{m - p}$ Solve for $x$ : $2 x + k = x + h$ $x = h - k$ Solve for $x$ : $a x + b = c x + d$ $x = \frac{d - b}{a - c}$ 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.

Solve a formula for a letter
Solve $y = 7 x + a$ for $x$ $x = \frac{y - a}{7}$
Solve for $F$ : $C = \frac{5}{9} (F - 32)$ $F = \frac{9}{5} C + 32$
Solve $n x - 5 a = m$ for $x$ $x = \frac{m + 5 a}{n}$
Solve for $h$ : $V = π r^{2} h$ $h = \frac{V}{π r^{2}}$
Solve $s = 3 p + 3 b$ for $b$ $b = \frac{s - 3 p}{3}$
Solve for $y$ : $9 x + 6 y = 17$ $y = - \frac{3}{2} x + \frac{17}{6}$
Solve $r = 3 n p$ for $n$ $n = \frac{r}{3 p}$
Solve for $y$ : $5 x - 2 y = - 15$ $y = \frac{5}{2} x + \frac{15}{2}$
Solve $y = 4 x - q$ for $x$ $x = \frac{y + q}{4}$
Solve for $h$ : $A = \frac{1}{2} b h$ $h = \frac{2 A}{b}$
Solve $d x + 7 p = t$ for $x$ $x = \frac{t - 7 p}{d}$
Solve for $y$ : $- 8 x + 4 y = - 6$ $y = 2 x - \frac{3}{2}$
Solve $v x - 3 p = n$ for $x$ $x = \frac{n + 3 p}{v}$
Solve for $t$ : $d = r t$ $t = \frac{d}{r}$

Solve when the letter appears twice
Solve for $x$ : $3 x + a = 4 x + b$ $x = a - b$
Solve for $h$ : $S = 2 π r h + 2 π r^{2}$ $h = \frac{S - 2 π r^{2}}{2 π r}$
Solve for $x$ : $y = \frac{x + 1}{x - 2}$ $x = \frac{2 y + 1}{y - 1}$
Solve for $x$ : $m x - n = p x + q$ $x = \frac{q + n}{m - p}$
Solve for $x$ : $2 x + k = x + h$ $x = h - k$
Solve for $x$ : $a x + b = c x + d$ $x = \frac{d - b}{a - c}$

How to do these

Solve $a x + b = c$ for $x$

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

The answer is $x = \frac{c - b}{a}$ .

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.

What you can put on this worksheet

Rearrange a formula for one letter: Solve $p x + 9 q = s$ for $x$ → $x = \frac{s - 9 q}{p}$
Solve for y, and real formulas: Solve for $y$ : $6 x + 2 y = - 1$ → $y = - 3 x - \frac{1}{2}$
The letter appears twice: Solve for $x$ : $6 x + a = 7 x + b$ → $x = a - b$
The letter on the bottom: Solve for $r$ : $m = b + \frac{7 p}{r}$ → $r = \frac{7 p}{m - b}$

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.

You pick from 4: rearrange a formula for one letter, solve for y, and real formulas, the letter appears twice and the letter on the bottom. Tick as many as you want and set how many of each, or let it spread them evenly.

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.

Literal equations worksheet for Algebra 1

Select your difficulty

Solve a formula for a letter

Solve when the letter appears twice

Solve a formula for a letter

Solve when the letter appears twice

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these literal equations worksheets free?+

Do the literal equations worksheets come with an answer key?+

Are these literal equations worksheets printable?+

What grade are these literal equations worksheets for?+

Can I get a different version of the same literal equations worksheet?+

Is this a free alternative to Kuta Software for literal equations?+

Can I choose how hard the literal equations questions are?+

What kinds of question are on a literal equations worksheet?+

What do students get wrong with literal equations?+