Year 10 Equation Word Problems Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Equation Word Problems Worksheet — Level 2 — Practice Set 2 — Answers
For each problem, choose a letter for the unknown, write an equation, solve it, and check your answer in the words of the problem.
1.Isla thinks of a number, multiplies it by 6 and then adds 10. The answer is 124. Write an equation and find the number.
Answer: 19
- Let the number be n: 6n + 10 = 124
- 6n = 114
- n = 19
2.A rectangle is 4 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.
Answer: width 15 cm, length 19 cm
- 2(w + w + 4) = 68
- 4w + 8 = 68
- w = 15, so length = 19
3.The sum of 3 consecutive whole numbers is 156. Find the numbers.
Answer: 51, 52, 53
- n + (n + 1) + (n + 2) = 156
- 3n + 3 = 156
- n = 51
4.The sum of 3 consecutive whole numbers is 153. Find the numbers.
Answer: 50, 51, 52
- n + (n + 1) + (n + 2) = 153
- 3n + 3 = 153
- n = 50
5.The sum of 2 consecutive whole numbers is 85. Find the numbers.
Answer: 42, 43
- n + (n + 1) = 85
- 2n + 1 = 85
- n = 42
6.Emma thinks of a number, multiplies it by 5 and then adds 4. The answer is 34. Write an equation and find the number.
Answer: 6
- Let the number be n: 5n + 4 = 34
- 5n = 30
- n = 6
7.The sum of 2 consecutive whole numbers is 63. Find the numbers.
Answer: 31, 32
- n + (n + 1) = 63
- 2n + 1 = 63
- n = 31
8.A rectangle is 7 cm longer than it is wide. Its perimeter is 50 cm. Find its width and length.
Answer: width 9 cm, length 16 cm
- 2(w + w + 7) = 50
- 4w + 14 = 50
- w = 9, so length = 16
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.