Worksheets · Pre-Algebra

Two-step equations worksheet for Pre-Algebra

In Pre-Algebra two-step equations are the first equations that need a plan. For 4r + 7 = 19, undo the adding first, then the multiplying. For 2(r + 3) = 22 or (p + 7)/8 = 2 the order flips: undo the outside operation first. Checking the answer in the original equation is the habit to build here.

Also taught in Algebra 1, at its own level and with its own examples.

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

Sigma Prep · sigmaprep.io/worksheets

Name

Two-Step Equations

Date Period

Solve each equation.

  1. Solve ax+b=cax + b = c

    4r+7=19
  2. 4a+1=41
  3. 2m+10=24
  4. 4p+11=27
  5. 5n+5=25

  1. Solve xa+b=c\frac{x}{a} + b = c

    k7+6=10
  2. n6+3=7
  3. y5+6=11
  4. m4+6=10
  5. b6+4=9

  1. Solve a(x+b)=ca(x + b) = c

    2(r+3)=22
  2. 2(y+10)=32
  3. 2(v+8)=18
  4. 5(v+1)=30
  5. 3(x+1)=9

  1. Solve x+ba=c\frac{x + b}{a} = c

    p+78=2
  2. p+103=4
  3. p+116=5
  4. v+68=8
  5. y+49=6

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

Sigma Prep · sigmaprep.io/worksheets

Name

Two-Step EquationsAnswer keyVersion 2

Date Period

Solve each equation.

  1. Solve ax+b=cax + b = c

    4r+7=19{3}
  2. 4a+1=41{10}
  3. 2m+10=24{7}
  4. 4p+11=27{4}
  5. 5n+5=25{4}

  1. Solve xa+b=c\frac{x}{a} + b = c

    k7+6=10{28}
  2. n6+3=7{24}
  3. y5+6=11{25}
  4. m4+6=10{16}
  5. b6+4=9{30}

  1. Solve a(x+b)=ca(x + b) = c

    2(r+3)=22{8}
  2. 2(y+10)=32{6}
  3. 2(v+8)=18{1}
  4. 5(v+1)=30{5}
  5. 3(x+1)=9{2}

  1. Solve x+ba=c\frac{x + b}{a} = c

    p+78=2{9}
  2. p+103=4{2}
  3. p+116=5{19}
  4. v+68=8{58}
  5. y+49=6{50}

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

How to do these

5x−8=27

  1. Add 8: 5x = 35.
  2. Divide by 5.
  3. Check: 5(7) - 8 = 27.

The answer is {7}.

Where students go wrong

Dividing first. Dividing 5x - 8 by 5 has to divide the 8 too, so undo the subtraction before you divide.

Also called solving equations in two steps.

What you can put on this worksheet

Multiply then add
6v+1=49 → {8}
Divide then add
v6+9=10 → {6}
Parentheses to expand
4(v+1)=36 → {8}
A whole side over a number
v+96=1 → {−3}
With decimals
v1.3+7.2=13.2 → {7.8}
The number written first
6+v5=7 → {5}

Questions about these worksheets

Yes. Every two-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 two-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 6: multiply then add, divide then add, parentheses to expand, a whole side over a number, with decimals and the number written first. Tick as many as you want and set how many of each, or let it spread them evenly.

Undoing in the wrong order. Students divide by 8 first and get n + 7/8 = 31/8, which is not wrong but is much harder. Undo the addition or subtraction first, then the multiplication or division, and it stays clean.