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 − 14 = −6
Answer: x = 8
- Add 14 to both sides
- x = −6 + 14 = 8
2.6x = 72
Answer: x = 12
- Divide both sides by 6
- x = 72 ÷ 6 = 12
3.7x = 14
Answer: x = 2
- Divide both sides by 7
- x = 14 ÷ 7 = 2
4.x + 13 = 17
Answer: x = 4
- Subtract 13 from both sides
- x = 17 − 13 = 4
5.3x = 30
Answer: x = 10
- Divide both sides by 3
- x = 30 ÷ 3 = 10
6.5x = 30
Answer: x = 6
- Divide both sides by 5
- x = 30 ÷ 5 = 6
7.x + 15 = 23
Answer: x = 8
- Subtract 15 from both sides
- x = 23 − 15 = 8
8.x + 7 = 18
Answer: x = 11
- Subtract 7 from both sides
- x = 18 − 7 = 11
9.8x = 8
Answer: x = 1
- Divide both sides by 8
- x = 8 ÷ 8 = 1
10.7x = 77
Answer: x = 11
- Divide both sides by 7
- x = 77 ÷ 7 = 11
11.x + 3 = 9
Answer: x = 6
- Subtract 3 from both sides
- x = 9 − 3 = 6
12.x + 8 = 17
Answer: x = 9
- Subtract 8 from both sides
- x = 17 − 8 = 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.