Year 10 Solving Linear Equations Worksheet — Level 1 — 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 1 — Practice Set 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.5x = 15
Answer: x = 3
- Divide both sides by 5
- x = 15 ÷ 5 = 3
2.6x = 66
Answer: x = 11
- Divide both sides by 6
- x = 66 ÷ 6 = 11
3.7x = 84
Answer: x = 12
- Divide both sides by 7
- x = 84 ÷ 7 = 12
4.x + 1 = 5
Answer: x = 4
- Subtract 1 from both sides
- x = 5 − 1 = 4
5.x − 12 = −9
Answer: x = 3
- Add 12 to both sides
- x = −9 + 12 = 3
6.x + 10 = 12
Answer: x = 2
- Subtract 10 from both sides
- x = 12 − 10 = 2
7.x − 4 = 6
Answer: x = 10
- Add 4 to both sides
- x = 6 + 4 = 10
8.x + 1 = 2
Answer: x = 1
- Subtract 1 from both sides
- x = 2 − 1 = 1
9.x + 13 = 21
Answer: x = 8
- Subtract 13 from both sides
- x = 21 − 13 = 8
10.x + 6 = 13
Answer: x = 7
- Subtract 6 from both sides
- x = 13 − 6 = 7
11.x + 15 = 22
Answer: x = 7
- Subtract 15 from both sides
- x = 22 − 15 = 7
12.x − 14 = −11
Answer: x = 3
- Add 14 to both sides
- x = −11 + 14 = 3
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.