9th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 3 — 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 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.7x < 28
Answer: x < 4
- Divide both sides by 7 (positive, so the sign stays): x < 4
2.2x < −16
Answer: x < −8
- Divide both sides by 2 (positive, so the sign stays): x < −8
3.x − 9 < −17
Answer: x < −8
- Add 9 on both sides: x < −17 + 9 = −8
4.x + 3 > 6
Answer: x > 3
- Subtract 3 on both sides: x > 6 − 3 = 3
5.x + 8 ≥ 10
Answer: x ≥ 2
- Subtract 8 on both sides: x ≥ 10 − 8 = 2
6.x + 3 < −6
Answer: x < −9
- Subtract 3 on both sides: x < −6 − 3 = −9
7.x − 7 ≤ −14
Answer: x ≤ −7
- Add 7 on both sides: x ≤ −14 + 7 = −7
8.3x < −15
Answer: x < −5
- Divide both sides by 3 (positive, so the sign stays): x < −5
9.2x < 6
Answer: x < 3
- Divide both sides by 2 (positive, so the sign stays): x < 3
10.x + 6 ≥ 9
Answer: x ≥ 3
- Subtract 6 on both sides: x ≥ 9 − 6 = 3
11.2x ≥ 22
Answer: x ≥ 11
- Divide both sides by 2 (positive, so the sign stays): x ≥ 11
12.6x ≥ 6
Answer: x ≥ 1
- Divide both sides by 6 (positive, so the sign stays): x ≥ 1
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.