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 + 7 = 18
Answer: x = 11
- Subtract 7 from both sides
- x = 18 − 7 = 11
2.x + 15 = 26
Answer: x = 11
- Subtract 15 from both sides
- x = 26 − 15 = 11
3.5x = 55
Answer: x = 11
- Divide both sides by 5
- x = 55 ÷ 5 = 11
4.4x = 8
Answer: x = 2
- Divide both sides by 4
- x = 8 ÷ 4 = 2
5.4x = 32
Answer: x = 8
- Divide both sides by 4
- x = 32 ÷ 4 = 8
6.x + 5 = 14
Answer: x = 9
- Subtract 5 from both sides
- x = 14 − 5 = 9
7.5x = 20
Answer: x = 4
- Divide both sides by 5
- x = 20 ÷ 5 = 4
8.x − 18 = −14
Answer: x = 4
- Add 18 to both sides
- x = −14 + 18 = 4
9.x − 3 = 2
Answer: x = 5
- Add 3 to both sides
- x = 2 + 3 = 5
10.5x = 45
Answer: x = 9
- Divide both sides by 5
- x = 45 ÷ 5 = 9
11.x − 4 = 5
Answer: x = 9
- Add 4 to both sides
- x = 5 + 4 = 9
12.x − 16 = −11
Answer: x = 5
- Add 16 to both sides
- x = −11 + 16 = 5
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.