7th grade graphing inequality solution sets worksheets
Eight inequalities using integers, fractions and decimals, with integer and half-integer boundaries. Solve when needed, then draw the solution set on a number line.
Free printable PDF worksheet, aligned to Common Core 7.EE.B.4.b.
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
The variable represents a real number. Solve when needed, then graph each solution set. Show your steps.
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z ≤ −1
Answer: z ≤ −1
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−0.5 × m + 1.5 ≥ 2.75
Answer: m ≤ −2.5
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−2/3 × x + 7/2 ≤ 7/2
Answer: x ≥ 0
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 a 7th grade sheet
- Graphing inequality solution sets. The variable represents a real number. Solve when needed, then graph each solution set. Show your steps. 8 problems per page.
Every version prints on US Letter or A4, with its answer key after the problems.
How to teach this
Check the boundary and a value on each side in the original inequality. The variable represents a real number.
Watch for: Adding or subtracting a negative number does not reverse the inequality. An open circle excludes the endpoint; a closed circle includes it.
Common questions about 7th grade graphing inequality solution sets
- What does the answer key show?
- By default, the key shows the required solving steps, the endpoint and the ray direction. Choose Answers only for final answers and any answer diagrams, without the worked steps.
- Does this sheet use fractions or decimals?
- Easy uses integers and integer boundaries. On-level adds fractions and decimals, with two half-integer boundaries. Difficult uses fractions and decimals, with six half-integer boundaries.
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Aligned to Common Core 7.EE.B.4.b. Reviewed by the One more sheet team. Content version 241, updated October 2026.
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