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 = 19
Answer: x = 4
- Subtract 15 from both sides
- x = 19 − 15 = 4
2.x − 6 = 3
Answer: x = 9
- Add 6 to both sides
- x = 3 + 6 = 9
3.x − 3 = −2
Answer: x = 1
- Add 3 to both sides
- x = −2 + 3 = 1
4.5x = 5
Answer: x = 1
- Divide both sides by 5
- x = 5 ÷ 5 = 1
5.x − 4 = 4
Answer: x = 8
- Add 4 to both sides
- x = 4 + 4 = 8
6.x − 12 = −9
Answer: x = 3
- Add 12 to both sides
- x = −9 + 12 = 3
7.x − 20 = −10
Answer: x = 10
- Add 20 to both sides
- x = −10 + 20 = 10
8.x + 17 = 22
Answer: x = 5
- Subtract 17 from both sides
- x = 22 − 17 = 5
9.4x = 48
Answer: x = 12
- Divide both sides by 4
- x = 48 ÷ 4 = 12
10.x − 19 = −10
Answer: x = 9
- Add 19 to both sides
- x = −10 + 19 = 9
11.3x = 15
Answer: x = 5
- Divide both sides by 3
- x = 15 ÷ 3 = 5
12.x + 19 = 25
Answer: x = 6
- Subtract 19 from both sides
- x = 25 − 19 = 6
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.