9th Grade Solving Linear Inequalities Worksheet — Level 2 — 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 2 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 4x + 5 < 45
Answer: x < 10
- Subtract 5: 4x < 40
- Divide by 4: x < 10
2.Solve: 6x − 3 ≤ 15
Answer: x ≤ 3
- Add 3: 6x ≤ 18
- Divide by 6: x ≤ 3
3.Solve: 5x + 8 < 43
Answer: x < 7
- Subtract 8: 5x < 35
- Divide by 5: x < 7
4.Solve: 3x − 5 ≤ −8
Answer: x ≤ −1
- Add 5: 3x ≤ −3
- Divide by 3: x ≤ −1
5.Solve: 7x − 5 < 30
Answer: x < 5
- Add 5: 7x < 35
- Divide by 7: x < 5
6.Solve: 4x − 7 ≤ −27
Answer: x ≤ −5
- Add 7: 4x ≤ −20
- Divide by 4: x ≤ −5
7.Solve: 3x − 6 ≥ −6
Answer: x ≥ 0
- Add 6: 3x ≥ 0
- Divide by 3: x ≥ 0
8.Solve: 5x − 12 ≥ 33
Answer: x ≥ 9
- Add 12: 5x ≥ 45
- Divide by 5: x ≥ 9
9.Solve: 6x − 9 ≤ −15
Answer: x ≤ −1
- Add 9: 6x ≤ −6
- Divide by 6: x ≤ −1
10.Solve: 6x + 12 > 48
Answer: x > 6
- Subtract 12: 6x > 36
- Divide by 6: x > 6
11.Solve: 7x − 1 ≥ −50
Answer: x ≥ −7
- Add 1: 7x ≥ −49
- Divide by 7: x ≥ −7
12.Solve: 5x − 10 < 45
Answer: x < 11
- Add 10: 5x < 55
- Divide by 5: x < 11
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.