Year 10 Solving Linear Equations Worksheet — Level 1 — Practice Set 3 — 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 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.8x = 56
Answer: x = 7
- Divide both sides by 8
- x = 56 ÷ 8 = 7
2.x + 12 = 22
Answer: x = 10
- Subtract 12 from both sides
- x = 22 − 12 = 10
3.x + 15 = 21
Answer: x = 6
- Subtract 15 from both sides
- x = 21 − 15 = 6
4.6x = 30
Answer: x = 5
- Divide both sides by 6
- x = 30 ÷ 6 = 5
5.6x = 18
Answer: x = 3
- Divide both sides by 6
- x = 18 ÷ 6 = 3
6.x + 6 = 8
Answer: x = 2
- Subtract 6 from both sides
- x = 8 − 6 = 2
7.x − 7 = 3
Answer: x = 10
- Add 7 to both sides
- x = 3 + 7 = 10
8.7x = 28
Answer: x = 4
- Divide both sides by 7
- x = 28 ÷ 7 = 4
9.x + 11 = 20
Answer: x = 9
- Subtract 11 from both sides
- x = 20 − 11 = 9
10.x + 6 = 12
Answer: x = 6
- Subtract 6 from both sides
- x = 12 − 6 = 6
11.9x = 81
Answer: x = 9
- Divide both sides by 9
- x = 81 ÷ 9 = 9
12.4x = 16
Answer: x = 4
- Divide both sides by 4
- x = 16 ÷ 4 = 4
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.