Solving equations worksheets
Solving one-step and two-step equations by doing the same thing to both sides until the variable is on its own.
Download the free solving equations worksheet (PDF)
Solving equations worksheet
Challenge: multi-step equations (grade 8)
What’s on the worksheet
- 50 questions on solving equations, sized for US Letter paper
- 2 pages of questions plus an answer key on the last page
- Written for grades 6–7, matching Common Core 6.EE.B.7, 7.EE.B.4
- Name and date lines at the top, and room to show the work
Sample questions from this worksheet
- 7x + 5 = −23
- 3x − 1 = −28
- 7x − 5 = 9
- 9x − 7 = 65
- 5x − 14 = −24
- 8x + 9 = −39
Preview the worksheet and answer key
Make a new solving equations worksheet
Need another page for extra practice, a retake or a second group in class? The free Mathify Kids test maker builds a fresh solving equations worksheet with different numbers every time. Choose Core, Standard or Challenge level, print it with its own answer key, or let your child take it on screen and see the score straight away.
Solving equations: a worked example (3x + 5 = 20)
- Subtract 5 from both sides: 3x = 15.
- Divide both sides by 3: x = 5.
- Check: 3 × 5 + 5 = 20.
How to use it at home and in class
At home
Always finish by putting the answer back into the equation to check it. Ten problems a day works better than a whole sheet at once. Mark them together with the answer key, then ask your child to explain one they got wrong: finding the mistake themselves is where the learning happens.
In class
Use the first row as a warm-up, a full page for independent practice, or five questions as an exit ticket. For a retake or a second group, make a new version with the test maker so every child gets different numbers.
Mistakes to watch for
- Doing an operation to one side only.
- Dividing before subtracting in two-step equations.
What to practice before and after solving equations
- Before: order of operations. If this sheet is a struggle, go back a step.
- After: mean, median, mode and range, once this one is mostly right.
- Learn it first: the grades 6–8 guide.
More grades 6–8 worksheets
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Questions parents ask
How do you solve a two-step equation?
Undo the addition or subtraction first, then undo the multiplication or division. Do each step to both sides.
What grade is this solving equations worksheet for?
It is written for grades 6–7 and matches Common Core standards 6.EE.B.7, 7.EE.B.4.
Can I get a different version of this solving equations worksheet?
Yes. Use the free Mathify Kids test maker to make a new solving equations worksheet with different numbers every time, at Core, Standard or Challenge level, with its own answer key.