Year 10 Solving Linear Equations 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 Equations Worksheet — Level 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4x + 12 = 48
Answer: x = 9
- Subtract 12 from both sides: 4x = 36
- Divide both sides by 4: x = 9
2.4x − 12 = −28
Answer: x = −4
- Add 12 to both sides: 4x = −16
- Divide both sides by 4: x = −4
3.7x − 10 = 4
Answer: x = 2
- Add 10 to both sides: 7x = 14
- Divide both sides by 7: x = 2
4.7x + 9 = 51
Answer: x = 6
- Subtract 9 from both sides: 7x = 42
- Divide both sides by 7: x = 6
5.3x + 9 = 21
Answer: x = 4
- Subtract 9 from both sides: 3x = 12
- Divide both sides by 3: x = 4
6.4x + 8 = 20
Answer: x = 3
- Subtract 8 from both sides: 4x = 12
- Divide both sides by 4: x = 3
7.3x + 1 = 7
Answer: x = 2
- Subtract 1 from both sides: 3x = 6
- Divide both sides by 3: x = 2
8.3x + 7 = −2
Answer: x = −3
- Subtract 7 from both sides: 3x = −9
- Divide both sides by 3: x = −3
9.5x + 9 = −26
Answer: x = −7
- Subtract 9 from both sides: 5x = −35
- Divide both sides by 5: x = −7
10.7x + 1 = −20
Answer: x = −3
- Subtract 1 from both sides: 7x = −21
- Divide both sides by 7: x = −3
11.7x + 9 = 65
Answer: x = 8
- Subtract 9 from both sides: 7x = 56
- Divide both sides by 7: x = 8
12.4x + 15 = 35
Answer: x = 5
- Subtract 15 from both sides: 4x = 20
- Divide both sides by 4: x = 5
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.