One-Step Inequalities Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Grade 6CCSS 6.EE.B.8Answer key includedPDF · Print

Open in generator Start with an easy sheet

Easy: Addition and subtraction

Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

Solve an inequality like an equation: undo the operation on both sides. Adding, subtracting, or multiplying and dividing by a positive number keeps the inequality sign the same.

EasyAddition and subtraction MediumMultiplication and division HardAnswers that are fractions or decimals

How to solve it: a worked example

Solve each inequality.

Start
Subtract 11 on both sides
Answer

Common mistakes to watch for

Changing the sign to = and forgetting to bring the inequality back.
Flipping the sign when dividing by a positive number.
Undoing the operation on only one side.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

FAQ

How do you solve x + 6 ≤ 15?

Subtract 6 on both sides: x ≤ 9. Every number 9 or less is a solution.

Does the sign ever change?

Only when you multiply or divide both sides by a negative number. The inequalities here use positive numbers, so the sign stays the same.

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix one-step inequalities with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.

FAQ