9th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers
Solve each inequality the same way you would solve an equation.
1.6x > 0
Answer: x > 0
- Divide both sides by 6 (positive, so the sign stays): x > 0
2.x − 8 < 4
Answer: x < 12
- Add 8 on both sides: x < 4 + 8 = 12
3.4x ≥ −24
Answer: x ≥ −6
- Divide both sides by 4 (positive, so the sign stays): x ≥ −6
4.x − 5 ≤ 6
Answer: x ≤ 11
- Add 5 on both sides: x ≤ 6 + 5 = 11
5.x + 2 ≥ −6
Answer: x ≥ −8
- Subtract 2 on both sides: x ≥ −6 − 2 = −8
6.5x ≤ −35
Answer: x ≤ −7
- Divide both sides by 5 (positive, so the sign stays): x ≤ −7
7.x − 3 ≥ −12
Answer: x ≥ −9
- Add 3 on both sides: x ≥ −12 + 3 = −9
8.x + 1 < −1
Answer: x < −2
- Subtract 1 on both sides: x < −1 − 1 = −2
9.x + 9 > 20
Answer: x > 11
- Subtract 9 on both sides: x > 20 − 9 = 11
10.x − 2 ≤ 9
Answer: x ≤ 11
- Add 2 on both sides: x ≤ 9 + 2 = 11
11.x + 4 ≥ 15
Answer: x ≥ 11
- Subtract 4 on both sides: x ≥ 15 − 4 = 11
12.x + 7 > 2
Answer: x > −5
- Subtract 7 on both sides: x > 2 − 7 = −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.
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