6th grade interpreting inequalities worksheets
Interpreting inequalities worksheets for 6th grade print 4 problems per page. Complete each problem. Show your reasoning where asked. “At least” and “at most” include the boundary; “more than” and “less than” do not.
Free printable PDF worksheet, aligned to Common Core 6.EE.B.5, 6.EE.B.8.
Each print is a different sheet with its own answer key. You don't need to sign up.
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The kind of problems you'll get
Complete each problem. Show your reasoning where asked.
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Consider x ≥ 11/2 and the candidate values 5, 11/2, 6. Select the boundary status and all listed solutions.
Answer: Boundary included; solutions: 11/2, 6.
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Interpret x ≥ 12. Here x represents the volunteer service time, measured in hours. Use nonnegative values for x. Select the matching context.
Answer: A participant qualifies after completing at least 12 hours of volunteer service.
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A trail allows fewer than 20 visitors. Let x be the nonnegative whole-number count. A student writes x ≤ 20. Identify the error.
Answer: Fewer than excludes 20, so the correct inequality is x < 20.
Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.
What's on each sheet
- Interpreting inequalities. Complete each problem. Show your reasoning where asked. 4 problems per page.
Every version prints on US Letter or A4, with its answer key after the problems.
This sheet is one of the versions on the 6th grade inequalities on a number line page, with its own difficulty choices and its own answer key.
How to teach this
Start every graph with two questions: where is the circle, and which way does the arrow point? The circle gives the boundary number, the arrow gives the symbol. Then have your child name two numbers that fit the graph and one that doesn't. Naming solutions makes the symbol mean something.
Watch for: Kids read the circled number as the answer. The graph shows a whole set of numbers, so the answer is an inequality like x > 3, not a single value. An open circle looks like it includes the number. Open means the boundary itself is not a solution.
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Aligned to Common Core 6.EE.B.5, 6.EE.B.8. Reviewed by the One more sheet team. Content version 241, updated September 2026.
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