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Free 6th Grade One-Step Equations Worksheets

Use this page when you want 6th grade one step equations worksheets in the next thirty seconds: choose how many problems you want, press print, and the answer key comes out on its own page behind the worksheet. The version loaded below opens with items in the shape of x + 9 = 13, x and x ÷ 7 = 8, x; the key lists 4 and 56 next to their question numbers.

📄 6TH GRADE ONE STEP EQUATIONS WORKSHEETS — A NEW SHEET EVERY TIME YOU PRESS THE BUTTON
🎲 New set of problems

‘New set of problems’ opens the generator in its own tab. There you can change the problem count and turn the answer key on or off. ‘Print or save as PDF’ opens the print dialog — choose Save as PDF in the printer list to keep the file. The sheet fits US Letter and A4, and the answer key prints on its own page.

What the sheet contains

A one-step equation asks what value makes the two sides balance. Solving x + 9 = 13, x gives 4, and the method — undo the operation on both sides — is the foundation of everything algebraic that follows.

Whatever is done to one side must be done to the other. Saying that out loud every time for the first week builds the habit that makes multi-step equations manageable.

This sheet uses solutions from 3 to 20, so the arithmetic never gets in the way of the reasoning.

The equals sign is a statement of balance, not an instruction to compute. Children who carry the primary-school reading of it into algebra struggle here first.

Work of this kind is commonly aligned with the expressions and equations strand for grade 6; schools outside the US meet the same skill at roughly the same age, which is why these 6th grade one step equations worksheets travel well.

A sample of this sheet, with answers

These six come from the sheet loaded on this page. Press the button and the numbers change, but the shape stays the same (solutions from 3 to 20).
#ProblemAnswerWhat to check
1x + 9 = 13, x =4Watch for: losing a negative sign in the rearrangement
2x ÷ 7 = 8, x =56Check: using the same operation instead of the inverse
3x − 2 = 1, x =3Look at: operating on one side only
4x ÷ 8 = 6, x =48Ask about: dividing when the variable is added, not multiplied
5x + 3 = 15, x =12Watch for: not substituting back
6x ÷ 9 = 12, x =108Check: solving by inspection and getting lucky

A worked example from this sheet

The item x ÷ 7 = 8, x is worth doing slowly. The answer to x ÷ 7 = 8, x is 56, and the route to it is the route every other problem on this sheet takes — which is why the sheet has 20 of them rather than one.

A good first problem to do together is x + 9 = 13, x, which comes out at 4. Do x + 9 = 13, x once with the child narrating, then hand over the pencil and start the clock on the other 20 problems.

Three common mistakes and what to do about them

How to use these worksheets at home

  1. Write the finish time and the score at the top of every sheet. Two weeks of those two numbers tells you more about progress on one-step equations than any single test result.
  2. Do not raise the number of problems until the accuracy is steady. Going from 20 correct-but-slow problems to more problems only multiplies the same mistake.
  3. Re-print the same skill rather than the same sheet. Because the numbers change, a child who memorised that x + 9 = 13, x gives 4 still has to actually calculate tomorrow.
  4. Stop the session at the time limit even if the sheet is unfinished, and note where the child got to. A half sheet done well is better data than a whole sheet rushed.
  5. Read the first two problems out loud together before starting the clock. It costs fifteen seconds and removes most of the 'I did not understand the question' errors.

The answer key

Answers appear next to their question numbers, so a wrong item like x ÷ 7 = 8, x can be found in the key in a second and re-worked while it is still fresh.

Because the numbers are random, there is no shared answer list to look up: the key printed behind your sheet is the only one that fits it, and it shows 4 for x + 9 = 13, x.

Printing on US Letter or A4

For a class set, print one sheet, press the new-worksheet button and print again. Each child gets different numbers on the same skill, so nobody can copy the answer to x + 9 = 13, x from a neighbour.

Portrait orientation is what the sheet is designed for. Landscape works but wastes about a third of the paper, so leave the orientation alone unless you have a reason.

Frequently asked questions

How do I check an answer?
Put it back into the original equation. If both sides come out equal, the answer is right, no marking scheme required.
How many different sheets can I make?
As many as you want. The numbers are randomised each time, so printing five sheets in a row gives five different sets of 20 problems on the same skill.
Should the child show working?
Yes — writing the operation applied to both sides is the whole point. An answer with no working cannot be diagnosed when it goes wrong.
Do I need an account to print these worksheets?
No. There is no sign-up, no email and no download step — the 6th grade one step equations worksheets are built in your browser and go straight to your printer or to a PDF file.

One sheet of 6th grade one step equations worksheets a day for two weeks will tell you more about where a 6th grader actually stands than any single long assessment.

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Free printable math worksheets from a working math academy director in Korea. Problems come from our own code, not from a published workbook. Every sheet prints on US Letter or A4 with its answer key. All worksheets · Worksheet generator · Korean site
Last updated: 2026-09-13