Year 10 Solving Linear Equations Worksheet — Level 1 — Practice Set 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 1 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x + 5 = 17
Answer: x = 12
- Subtract 5 from both sides
- x = 17 − 5 = 12
2.9x = 63
Answer: x = 7
- Divide both sides by 9
- x = 63 ÷ 9 = 7
3.9x = 99
Answer: x = 11
- Divide both sides by 9
- x = 99 ÷ 9 = 11
4.x − 11 = 1
Answer: x = 12
- Add 11 to both sides
- x = 1 + 11 = 12
5.x − 19 = −18
Answer: x = 1
- Add 19 to both sides
- x = −18 + 19 = 1
6.6x = 66
Answer: x = 11
- Divide both sides by 6
- x = 66 ÷ 6 = 11
7.x − 14 = −12
Answer: x = 2
- Add 14 to both sides
- x = −12 + 14 = 2
8.x + 16 = 23
Answer: x = 7
- Subtract 16 from both sides
- x = 23 − 16 = 7
9.3x = 3
Answer: x = 1
- Divide both sides by 3
- x = 3 ÷ 3 = 1
10.3x = 33
Answer: x = 11
- Divide both sides by 3
- x = 33 ÷ 3 = 11
11.x + 16 = 22
Answer: x = 6
- Subtract 16 from both sides
- x = 22 − 16 = 6
12.x + 15 = 22
Answer: x = 7
- Subtract 15 from both sides
- x = 22 − 15 = 7
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.