Year 10 Equation Word Problems Worksheet — Level 3 — Practice Set 4 — 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 3 — Practice Set 4 — 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.The sum of 2 consecutive whole numbers is 49. Find the numbers.
Answer: 24, 25
- n + (n + 1) = 49
- 2n + 1 = 49
- n = 24
2.The sum of 2 consecutive whole numbers is 113. Find the numbers.
Answer: 56, 57
- n + (n + 1) = 113
- 2n + 1 = 113
- n = 56
3.Sienna buys some notebooks at $3.50 each and pays $7.00 for delivery. The total is $24.50. How many notebooks did Sienna buy?
Answer: 5
- 3.50n + 7.00 = 24.50
- 3.50n = 17.50
- n = 5
4.The sum of 2 consecutive whole numbers is 83. Find the numbers.
Answer: 41, 42
- n + (n + 1) = 83
- 2n + 1 = 83
- n = 41
5.Harper buys some notebooks at $1.00 each and pays $1.00 for delivery. The total is $4.00. How many notebooks did Harper buy?
Answer: 3
- 1.00n + 1.00 = 4.00
- 1.00n = 3.00
- n = 3
6.The sum of 4 consecutive whole numbers is 218. Find the numbers.
Answer: 53, 54, 55, 56
- n + (n + 1) + (n + 2) + (n + 3) = 218
- 4n + 6 = 218
- n = 53
7.A rectangle is 7 cm longer than it is wide. Its perimeter is 34 cm. Find its width and length.
Answer: width 5 cm, length 12 cm
- 2(w + w + 7) = 34
- 4w + 14 = 34
- w = 5, so length = 12
8.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
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.