Year 11 Solving Linear Equations Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 11 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear EquationsYear 11 Solving Linear Equations Worksheet — Level 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4x + 2 = x − 10
Answer: x = −4
- Subtract 1x from both sides: 3x + 2 = −10
- Subtract 2: 3x = −12
- Divide by 3: x = −4
2.9x + 1 = 8x − 3
Answer: x = −4
- Subtract 8x from both sides: x + 1 = −3
- Subtract 1: 1x = −4
- Divide by 1: x = −4
3.2(x − 8) = −6
Answer: x = 5
- Expand: 2x − 16 = −6
- Add 16: 2x = 10
- Divide by 2: x = 5
4.9x − 7 = x + 65
Answer: x = 9
- Subtract 1x from both sides: 8x − 7 = 65
- Add 7: 8x = 72
- Divide by 8: x = 9
5.4x + 7 = 3x + 9
Answer: x = 2
- Subtract 3x from both sides: x + 7 = 9
- Subtract 7: 1x = 2
- Divide by 1: x = 2
6.9x − 7 = 5x + 9
Answer: x = 4
- Subtract 5x from both sides: 4x − 7 = 9
- Add 7: 4x = 16
- Divide by 4: x = 4
7.5x + 4 = x + 40
Answer: x = 9
- Subtract 1x from both sides: 4x + 4 = 40
- Subtract 4: 4x = 36
- Divide by 4: x = 9
8.4x − 9 = 2x − 7
Answer: x = 1
- Subtract 2x from both sides: 2x − 9 = −7
- Add 9: 2x = 2
- Divide by 2: x = 1
9.7x − 2 = 3x + 2
Answer: x = 1
- Subtract 3x from both sides: 4x − 2 = 2
- Add 2: 4x = 4
- Divide by 4: x = 1
10.5(x + 8) = 15
Answer: x = −5
- Expand: 5x + 40 = 15
- Subtract 40: 5x = −25
- Divide by 5: x = −5
11.4(x − 4) = −20
Answer: x = −1
- Expand: 4x − 16 = −20
- Add 16: 4x = −4
- Divide by 4: x = −1
12.5x − 5 = x − 13
Answer: x = −2
- Subtract 1x from both sides: 4x − 5 = −13
- Add 5: 4x = −8
- Divide by 4: 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.