Year 10 Solving Linear Equations Worksheet — Level 1 — 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 1 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.7x = 35
Answer: x = 5
- Divide both sides by 7
- x = 35 ÷ 7 = 5
2.x + 12 = 21
Answer: x = 9
- Subtract 12 from both sides
- x = 21 − 12 = 9
3.3x = 3
Answer: x = 1
- Divide both sides by 3
- x = 3 ÷ 3 = 1
4.x − 13 = −4
Answer: x = 9
- Add 13 to both sides
- x = −4 + 13 = 9
5.x − 19 = −12
Answer: x = 7
- Add 19 to both sides
- x = −12 + 19 = 7
6.7x = 56
Answer: x = 8
- Divide both sides by 7
- x = 56 ÷ 7 = 8
7.x + 8 = 19
Answer: x = 11
- Subtract 8 from both sides
- x = 19 − 8 = 11
8.x + 13 = 17
Answer: x = 4
- Subtract 13 from both sides
- x = 17 − 13 = 4
9.x − 2 = 8
Answer: x = 10
- Add 2 to both sides
- x = 8 + 2 = 10
10.9x = 18
Answer: x = 2
- Divide both sides by 9
- x = 18 ÷ 9 = 2
11.x − 11 = −10
Answer: x = 1
- Add 11 to both sides
- x = −10 + 11 = 1
12.2x = 18
Answer: x = 9
- Divide both sides by 2
- x = 18 ÷ 2 = 9
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.