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 + 4 = 13
Answer: x = 9
- Subtract 4 from both sides
- x = 13 − 4 = 9
2.x − 12 = −1
Answer: x = 11
- Add 12 to both sides
- x = −1 + 12 = 11
3.3x = 15
Answer: x = 5
- Divide both sides by 3
- x = 15 ÷ 3 = 5
4.3x = 3
Answer: x = 1
- Divide both sides by 3
- x = 3 ÷ 3 = 1
5.x − 6 = −4
Answer: x = 2
- Add 6 to both sides
- x = −4 + 6 = 2
6.x − 7 = 3
Answer: x = 10
- Add 7 to both sides
- x = 3 + 7 = 10
7.x − 13 = −4
Answer: x = 9
- Add 13 to both sides
- x = −4 + 13 = 9
8.6x = 30
Answer: x = 5
- Divide both sides by 6
- x = 30 ÷ 6 = 5
9.x − 8 = −4
Answer: x = 4
- Add 8 to both sides
- x = −4 + 8 = 4
10.5x = 15
Answer: x = 3
- Divide both sides by 5
- x = 15 ÷ 5 = 3
11.5x = 50
Answer: x = 10
- Divide both sides by 5
- x = 50 ÷ 5 = 10
12.x + 17 = 26
Answer: x = 9
- Subtract 17 from both sides
- x = 26 − 17 = 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.