Year 10 Solving Linear Inequalities Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Solving Linear Inequalities Worksheet — Level 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 5x + 10 ≥ 55
Answer: x ≥ 9
- Subtract 10: 5x ≥ 45
- Divide by 5: x ≥ 9
2.Solve: 6x − 2 > −32
Answer: x > −5
- Add 2: 6x > −30
- Divide by 6: x > −5
3.Solve: 2x + 7 > 29
Answer: x > 11
- Subtract 7: 2x > 22
- Divide by 2: x > 11
4.Solve: 3x + 6 ≤ 6
Answer: x ≤ 0
- Subtract 6: 3x ≤ 0
- Divide by 3: x ≤ 0
5.Solve: 2x + 7 < −7
Answer: x < −7
- Subtract 7: 2x < −14
- Divide by 2: x < −7
6.Solve: 5x + 1 ≤ −19
Answer: x ≤ −4
- Subtract 1: 5x ≤ −20
- Divide by 5: x ≤ −4
7.Solve: 6x − 12 ≤ 6
Answer: x ≤ 3
- Add 12: 6x ≤ 18
- Divide by 6: x ≤ 3
8.Solve: 4x + 11 > −13
Answer: x > −6
- Subtract 11: 4x > −24
- Divide by 4: x > −6
9.Solve: 3x + 5 > 23
Answer: x > 6
- Subtract 5: 3x > 18
- Divide by 3: x > 6
10.Solve: 4x − 1 ≥ −9
Answer: x ≥ −2
- Add 1: 4x ≥ −8
- Divide by 4: x ≥ −2
11.Solve: 3x + 4 ≤ −14
Answer: x ≤ −6
- Subtract 4: 3x ≤ −18
- Divide by 3: x ≤ −6
12.Solve: 4x − 10 ≥ 38
Answer: x ≥ 12
- Add 10: 4x ≥ 48
- Divide by 4: x ≥ 12
Marking tips
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