Two-Step Equations Worksheets
Free printable two-step equations worksheets with answer keys. Solve two-step equations such as 3x + 5 = 20, 4m − 6 = 18, y ÷ 2 + 7 = 12 and 3(n + 2) = 21.
Using this page
Solve two-step equations such as 3x + 5 = 20, 4m − 6 = 18, y ÷ 2 + 7 = 12 and 3(n + 2) = 21. The Common Core's Grade 7 standard covers equations of the form px + q = r and p(x + q) = r. Every solution is a whole number; turn on negatives for a harder sheet. Suits around Year 8 in Australia and Grade 7 in the US (Common Core 7.EE.B.4), but use whatever level fits the child.
Tips
- Show the working, even when the answer seems obvious; it makes mistakes easy to spot.
- Check each answer: put it back into an equation, or estimate before working out.
- Start with the easier setting and move up once most answers are right.
- Mix one older sheet into each week so earlier skills stay fresh.
Worked example
3x + 5 = 20. Undo the adding first: subtract 5 from both sides, so 3x = 15. Then undo the multiplying: divide both sides by 3, so x = 5. Check: 3 × 5 + 5 = 20. For 3(n + 2) = 21, divide by 3 first: n + 2 = 7, so n = 5.
Common mistakes
Dividing before subtracting: 3x + 5 = 20 becomes x + 5 = 20 ÷ 3. Undo addition and subtraction first.
Doing something to one side only. Whatever is done to one side must be done to the other.
How to use this generator
Choose the options above the sheet: the number of questions and the settings for this kind of worksheet. Every change makes a new sheet straight away, and New worksheet gives a different set of questions with the same settings.
Each sheet has a worksheet number printed at the top. Type the same number later, or keep the page link, to print exactly the same questions and answer key again. Leave Answer key page ticked to print the answers on a second page, then press Print. Every printed page carries the makekite logo and web address.
Common questions
Is there more than one way to solve 3(n + 2) = 21?
Yes. Divide both sides by 3 first, or expand to 3n + 6 = 21 and then solve. Both give n = 5.
Can I make the sheet harder?
Yes. Use the options above the sheet: more digits, a harder level, brackets or negative numbers where they are offered.
Can I print the same worksheet again?
Yes. Note the worksheet number printed at the top, or keep the link in your browser's address bar, which ends with that number. Entering it later gives the same questions and answers.
Is it free?
Yes. There is no sign-up, and nothing you choose is sent anywhere: the sheets are made in your browser.