10th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Solve each inequality the same way you would solve an equation.
1.x + 6 ≤ −1
Answer: x ≤ −7
- Subtract 6 on both sides: x ≤ −1 − 6 = −7
2.x + 5 ≥ 6
Answer: x ≥ 1
- Subtract 5 on both sides: x ≥ 6 − 5 = 1
3.x − 4 ≤ −12
Answer: x ≤ −8
- Add 4 on both sides: x ≤ −12 + 4 = −8
4.3x < 0
Answer: x < 0
- Divide both sides by 3 (positive, so the sign stays): x < 0
5.9x < −18
Answer: x < −2
- Divide both sides by 9 (positive, so the sign stays): x < −2
6.5x ≥ −45
Answer: x ≥ −9
- Divide both sides by 5 (positive, so the sign stays): x ≥ −9
7.x + 6 ≥ 13
Answer: x ≥ 7
- Subtract 6 on both sides: x ≥ 13 − 6 = 7
8.5x ≥ −20
Answer: x ≥ −4
- Divide both sides by 5 (positive, so the sign stays): x ≥ −4
9.x − 3 < 0
Answer: x < 3
- Add 3 on both sides: x < 0 + 3 = 3
10.5x ≤ −10
Answer: x ≤ −2
- Divide both sides by 5 (positive, so the sign stays): x ≤ −2
11.x + 1 > 7
Answer: x > 6
- Subtract 1 on both sides: x > 7 − 1 = 6
12.x + 2 < −3
Answer: x < −5
- Subtract 2 on both sides: x < −3 − 2 = −5
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.