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.x + 20 = 32
Answer: x = 12
- Subtract 20 from both sides
- x = 32 − 20 = 12
2.x − 4 = 5
Answer: x = 9
- Add 4 to both sides
- x = 5 + 4 = 9
3.2x = 22
Answer: x = 11
- Divide both sides by 2
- x = 22 ÷ 2 = 11
4.x + 16 = 20
Answer: x = 4
- Subtract 16 from both sides
- x = 20 − 16 = 4
5.7x = 28
Answer: x = 4
- Divide both sides by 7
- x = 28 ÷ 7 = 4
6.x − 4 = 1
Answer: x = 5
- Add 4 to both sides
- x = 1 + 4 = 5
7.x + 3 = 12
Answer: x = 9
- Subtract 3 from both sides
- x = 12 − 3 = 9
8.8x = 96
Answer: x = 12
- Divide both sides by 8
- x = 96 ÷ 8 = 12
9.x + 8 = 16
Answer: x = 8
- Subtract 8 from both sides
- x = 16 − 8 = 8
10.x + 13 = 16
Answer: x = 3
- Subtract 13 from both sides
- x = 16 − 13 = 3
11.x − 13 = −9
Answer: x = 4
- Add 13 to both sides
- x = −9 + 13 = 4
12.x + 2 = 10
Answer: x = 8
- Subtract 2 from both sides
- x = 10 − 2 = 8
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.