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.x − 15 = −10
Answer: x = 5
- Add 15 to both sides
- x = −10 + 15 = 5
2.x + 14 = 18
Answer: x = 4
- Subtract 14 from both sides
- x = 18 − 14 = 4
3.x + 5 = 11
Answer: x = 6
- Subtract 5 from both sides
- x = 11 − 5 = 6
4.x − 4 = −2
Answer: x = 2
- Add 4 to both sides
- x = −2 + 4 = 2
5.x − 4 = 4
Answer: x = 8
- Add 4 to both sides
- x = 4 + 4 = 8
6.9x = 63
Answer: x = 7
- Divide both sides by 9
- x = 63 ÷ 9 = 7
7.x + 14 = 16
Answer: x = 2
- Subtract 14 from both sides
- x = 16 − 14 = 2
8.x − 16 = −5
Answer: x = 11
- Add 16 to both sides
- x = −5 + 16 = 11
9.x + 13 = 21
Answer: x = 8
- Subtract 13 from both sides
- x = 21 − 13 = 8
10.7x = 14
Answer: x = 2
- Divide both sides by 7
- x = 14 ÷ 7 = 2
11.4x = 20
Answer: x = 5
- Divide both sides by 4
- x = 20 ÷ 4 = 5
12.x − 3 = −2
Answer: x = 1
- Add 3 to both sides
- x = −2 + 3 = 1
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.