Year 9 Equation Word Problems Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 Equation Word Problems Worksheet — Level 2 — 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.Sienna thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 27. What was the number?
Answer: 13
- 3(n − 4) = 27
- n − 4 = 9
- n = 13
2.Leo thinks of a number, multiplies it by 6 and then adds 13. The answer is 97. Write an equation and find the number.
Answer: 14
- Let the number be n: 6n + 13 = 97
- 6n = 84
- n = 14
3.The sum of 4 consecutive whole numbers is 126. Find the numbers.
Answer: 30, 31, 32, 33
- n + (n + 1) + (n + 2) + (n + 3) = 126
- 4n + 6 = 126
- n = 30
4.A rectangle is 6 cm longer than it is wide. Its perimeter is 56 cm. Find its width and length.
Answer: width 11 cm, length 17 cm
- 2(w + w + 6) = 56
- 4w + 12 = 56
- w = 11, so length = 17
5.The sum of 3 consecutive whole numbers is 108. Find the numbers.
Answer: 35, 36, 37
- n + (n + 1) + (n + 2) = 108
- 3n + 3 = 108
- n = 35
6.The sum of 3 consecutive whole numbers is 27. Find the numbers.
Answer: 8, 9, 10
- n + (n + 1) + (n + 2) = 27
- 3n + 3 = 27
- n = 8
7.Grace thinks of a number, multiplies it by 5 and then adds 15. The answer is 65. Write an equation and find the number.
Answer: 10
- Let the number be n: 5n + 15 = 65
- 5n = 50
- n = 10
8.Kai thinks of a number, multiplies it by 3 and then adds 3. The answer is 24. Write an equation and find the number.
Answer: 7
- Let the number be n: 3n + 3 = 24
- 3n = 21
- n = 7
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.