7th grade solving inequalities with positive coefficients worksheets
Eight inequalities using integers, fractions and decimals, with integer and half-integer boundaries. Undo the offset, then divide to isolate the variable.
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.
Need one more? These are the skills next door at this grade.
The kind of problems you'll get
The variable represents a real number. Solve each inequality. Show your steps.
-
3 × x − 4 < −4
Answer: x < 0
-
0.5 × x + 2.5 > 4
Answer: x > 3
-
2/3 × x − 3/2 > −7/2
Answer: x > −3
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
- Solving inequalities with positive coefficients. The variable represents a real number. Solve each inequality. 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
Test the boundary and a value in the solution set in the original inequality. Reverse the inequality when multiplying or dividing by a negative number.
Watch for: Adding or subtracting a negative number does not reverse the inequality. For < or >, leave out the boundary. For ≤ or ≥, include it.
Common questions about 7th grade solving inequalities with positive coefficients
- What does the answer key show?
- The complete key shows the solving steps, checks the boundary and tests one value in the solution set. Easy keys also test a value outside it. Choose Answers only for final answers 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.
Related worksheets
- 7th grade adding linear expressions Same grade, nearby skill
- 7th grade checking contextual solutions Same grade, nearby skill
- 7th grade collecting rational like terms Same grade, nearby skill
- 7th grade collecting terms and constants Same grade, nearby skill
- Solving inequalities with positive coefficients, all grades The full progression
- All 7th grade math worksheets Every skill at this level
- All 7th grade worksheets Everything at this level
Ready to print one?
Need a fresh set of problems? Print another copy. The difficulty you picked above stays.
Aligned to Common Core 7.EE.B.4.b. Reviewed by the One more sheet team. Content version 241, updated October 2026.
Spot a mistake on this sheet? Tell us. · About these worksheets