10th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations10th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.x + 2 ≥ 0
Answer: x ≥ −2
- Subtract 2 on both sides: x ≥ 0 − 2 = −2
2.x + 1 < 8
Answer: x < 7
- Subtract 1 on both sides: x < 8 − 1 = 7
3.x − 8 > −1
Answer: x > 7
- Add 8 on both sides: x > −1 + 8 = 7
4.x + 4 ≤ −1
Answer: x ≤ −5
- Subtract 4 on both sides: x ≤ −1 − 4 = −5
5.4x > −4
Answer: x > −1
- Divide both sides by 4 (positive, so the sign stays): x > −1
6.x − 7 ≤ −7
Answer: x ≤ 0
- Add 7 on both sides: x ≤ −7 + 7 = 0
7.x + 9 ≤ 1
Answer: x ≤ −8
- Subtract 9 on both sides: x ≤ 1 − 9 = −8
8.7x ≤ −21
Answer: x ≤ −3
- Divide both sides by 7 (positive, so the sign stays): x ≤ −3
9.6x > 54
Answer: x > 9
- Divide both sides by 6 (positive, so the sign stays): x > 9
10.2x ≥ 2
Answer: x ≥ 1
- Divide both sides by 2 (positive, so the sign stays): x ≥ 1
11.x − 1 > −9
Answer: x > −8
- Add 1 on both sides: x > −9 + 1 = −8
12.x + 5 ≥ 13
Answer: x ≥ 8
- Subtract 5 on both sides: x ≥ 13 − 5 = 8
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.