9th Grade Solving Linear Inequalities Worksheet — Level 2 — 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 2 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 3x + 6 > 3
Answer: x > −1
- Subtract 6: 3x > −3
- Divide by 3: x > −1
2.Solve: 2x − 8 ≥ 8
Answer: x ≥ 8
- Add 8: 2x ≥ 16
- Divide by 2: x ≥ 8
3.Solve: 2x + 12 ≤ 34
Answer: x ≤ 11
- Subtract 12: 2x ≤ 22
- Divide by 2: x ≤ 11
4.Solve: 3x + 10 ≤ 34
Answer: x ≤ 8
- Subtract 10: 3x ≤ 24
- Divide by 3: x ≤ 8
5.Solve: 5x − 10 ≥ 10
Answer: x ≥ 4
- Add 10: 5x ≥ 20
- Divide by 5: x ≥ 4
6.Solve: 3x + 9 ≤ 0
Answer: x ≤ −3
- Subtract 9: 3x ≤ −9
- Divide by 3: x ≤ −3
7.Solve: 7x − 2 > 33
Answer: x > 5
- Add 2: 7x > 35
- Divide by 7: x > 5
8.Solve: 2x − 7 > −5
Answer: x > 1
- Add 7: 2x > 2
- Divide by 2: x > 1
9.Solve: 4x + 7 > 27
Answer: x > 5
- Subtract 7: 4x > 20
- Divide by 4: x > 5
10.Solve: 4x + 9 ≤ 21
Answer: x ≤ 3
- Subtract 9: 4x ≤ 12
- Divide by 4: x ≤ 3
11.Solve: 4x + 5 > 13
Answer: x > 2
- Subtract 5: 4x > 8
- Divide by 4: x > 2
12.Solve: 7x + 1 > −13
Answer: x > −2
- Subtract 1: 7x > −14
- Divide by 7: x > −2
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.