10th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Solve each inequality the same way you would solve an equation.
1.x + 7 ≥ 15
Answer: x ≥ 8
- Subtract 7 on both sides: x ≥ 15 − 7 = 8
2.6x > −30
Answer: x > −5
- Divide both sides by 6 (positive, so the sign stays): x > −5
3.x + 3 < −6
Answer: x < −9
- Subtract 3 on both sides: x < −6 − 3 = −9
4.5x ≤ −10
Answer: x ≤ −2
- Divide both sides by 5 (positive, so the sign stays): x ≤ −2
5.5x ≥ −35
Answer: x ≥ −7
- Divide both sides by 5 (positive, so the sign stays): x ≥ −7
6.8x > −24
Answer: x > −3
- Divide both sides by 8 (positive, so the sign stays): x > −3
7.8x ≥ −24
Answer: x ≥ −3
- Divide both sides by 8 (positive, so the sign stays): x ≥ −3
8.x − 4 ≤ 2
Answer: x ≤ 6
- Add 4 on both sides: x ≤ 2 + 4 = 6
9.5x ≤ 10
Answer: x ≤ 2
- Divide both sides by 5 (positive, so the sign stays): x ≤ 2
10.6x ≥ 48
Answer: x ≥ 8
- Divide both sides by 6 (positive, so the sign stays): x ≥ 8
11.9x ≥ −9
Answer: x ≥ −1
- Divide both sides by 9 (positive, so the sign stays): x ≥ −1
12.x − 9 ≥ 1
Answer: x ≥ 10
- Add 9 on both sides: x ≥ 1 + 9 = 10
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.