9th Grade Solving Linear Inequalities Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Equations9th Grade Solving Linear Inequalities Worksheet — Level 1 — Answers
Solve each inequality the same way you would solve an equation.
1.x + 4 ≤ 5
Answer: x ≤ 1
- Subtract 4 on both sides: x ≤ 5 − 4 = 1
2.8x > 0
Answer: x > 0
- Divide both sides by 8 (positive, so the sign stays): x > 0
3.7x ≤ −49
Answer: x ≤ −7
- Divide both sides by 7 (positive, so the sign stays): x ≤ −7
4.x − 1 < 4
Answer: x < 5
- Add 1 on both sides: x < 4 + 1 = 5
5.x + 2 ≥ 7
Answer: x ≥ 5
- Subtract 2 on both sides: x ≥ 7 − 2 = 5
6.x + 6 < 10
Answer: x < 4
- Subtract 6 on both sides: x < 10 − 6 = 4
7.7x ≤ −35
Answer: x ≤ −5
- Divide both sides by 7 (positive, so the sign stays): x ≤ −5
8.4x > −24
Answer: x > −6
- Divide both sides by 4 (positive, so the sign stays): x > −6
9.x + 8 > 2
Answer: x > −6
- Subtract 8 on both sides: x > 2 − 8 = −6
10.x − 8 ≥ −7
Answer: x ≥ 1
- Add 8 on both sides: x ≥ −7 + 8 = 1
11.2x < −2
Answer: x < −1
- Divide both sides by 2 (positive, so the sign stays): x < −1
12.x − 6 > −3
Answer: x > 3
- Add 6 on both sides: x > −3 + 6 = 3
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.