One-Step Equations Worksheets
Free printable one-step equations worksheets with answer keys. Solve one-step equations such as x + 7 = 15, 4n = 28 and y ÷ 3 = 6.
Using this page
Solve one-step equations such as x + 7 = 15, 4n = 28 and y ÷ 3 = 6. The Common Core's Grade 6 standard covers equations of the form x + p = q and px = q. Turn on negative answers for a harder sheet. Different letters are used on purpose, so students see that the letter is just a name for the unknown. Suits around Year 7 in Australia and Grade 6 in the US (Common Core 6.EE.B.7), 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
4n = 28 means 4 × n = 28. Undo the multiplying by dividing both sides by 4: n = 7. Check: 4 × 7 = 28. For y ÷ 3 = 6, undo the dividing by multiplying both sides by 3: y = 18.
Common mistakes
Doing the same operation instead of the opposite, so x + 7 = 15 becomes x = 22.
Reading 4n as 4 + n. A number next to a letter means multiply.
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
Why do the letters change?
Any letter can stand for the unknown. Seeing x, n, m and others stops students thinking algebra only uses x.
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.