7th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Linear Equations7th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.x − 9 < −14
Answer: x < −5
- Add 9 on both sides: x < −14 + 9 = −5
2.8x > 72
Answer: x > 9
- Divide both sides by 8 (positive, so the sign stays): x > 9
3.x − 6 ≤ 6
Answer: x ≤ 12
- Add 6 on both sides: x ≤ 6 + 6 = 12
4.2x < −10
Answer: x < −5
- Divide both sides by 2 (positive, so the sign stays): x < −5
5.3x ≤ −24
Answer: x ≤ −8
- Divide both sides by 3 (positive, so the sign stays): x ≤ −8
6.8x ≥ 40
Answer: x ≥ 5
- Divide both sides by 8 (positive, so the sign stays): x ≥ 5
7.2x < −8
Answer: x < −4
- Divide both sides by 2 (positive, so the sign stays): x < −4
8.9x < −45
Answer: x < −5
- Divide both sides by 9 (positive, so the sign stays): x < −5
9.x + 5 > 7
Answer: x > 2
- Subtract 5 on both sides: x > 7 − 5 = 2
10.x + 9 > 16
Answer: x > 7
- Subtract 9 on both sides: x > 16 − 9 = 7
11.x − 9 > −17
Answer: x > −8
- Add 9 on both sides: x > −17 + 9 = −8
12.x + 8 ≥ 1
Answer: x ≥ −7
- Subtract 8 on both sides: x ≥ 1 − 8 = −7
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.