Year 10 Solving Linear Equations Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Solving Linear Equations Worksheet — Level 3 — Practice Set 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.7x − 8 = 2x − 53
Answer: x = −9
- Subtract 2x from both sides: 5x − 8 = −53
- Add 8: 5x = −45
- Divide by 5: x = −9
2.3x − 9 = x − 5
Answer: x = 2
- Subtract 1x from both sides: 2x − 9 = −5
- Add 9: 2x = 4
- Divide by 2: x = 2
3.7x − 10 = x + 8
Answer: x = 3
- Subtract 1x from both sides: 6x − 10 = 8
- Add 10: 6x = 18
- Divide by 6: x = 3
4.2(x + 2) = 16
Answer: x = 6
- Expand: 2x + 4 = 16
- Subtract 4: 2x = 12
- Divide by 2: x = 6
5.6x − 1 = x + 14
Answer: x = 3
- Subtract 1x from both sides: 5x − 1 = 14
- Add 1: 5x = 15
- Divide by 5: x = 3
6.8x − 9 = 2x − 27
Answer: x = −3
- Subtract 2x from both sides: 6x − 9 = −27
- Add 9: 6x = −18
- Divide by 6: x = −3
7.6x − 6 = 5x − 11
Answer: x = −5
- Subtract 5x from both sides: x − 6 = −11
- Add 6: 1x = −5
- Divide by 1: x = −5
8.2(x + 1) = −2
Answer: x = −2
- Expand: 2x + 2 = −2
- Subtract 2: 2x = −4
- Divide by 2: x = −2
9.5(x + 6) = 40
Answer: x = 2
- Expand: 5x + 30 = 40
- Subtract 30: 5x = 10
- Divide by 5: x = 2
10.4(x + 1) = −4
Answer: x = −2
- Expand: 4x + 4 = −4
- Subtract 4: 4x = −8
- Divide by 4: x = −2
11.3(x + 2) = 15
Answer: x = 3
- Expand: 3x + 6 = 15
- Subtract 6: 3x = 9
- Divide by 3: x = 3
12.9x + 5 = 2x − 9
Answer: x = −2
- Subtract 2x from both sides: 7x + 5 = −9
- Subtract 5: 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.