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, multiplies it by 3 and then adds 2. The answer is 50. Write an equation and find the number.
Answer: 16
- Let the number be n: 3n + 2 = 50
- 3n = 48
- n = 16
2.Aisha thinks of a number, multiplies it by 4 and then adds 6. The answer is 74. Write an equation and find the number.
Answer: 17
- Let the number be n: 4n + 6 = 74
- 4n = 68
- n = 17
3.A rectangle is 5 cm longer than it is wide. Its perimeter is 74 cm. Find its width and length.
Answer: width 16 cm, length 21 cm
- 2(w + w + 5) = 74
- 4w + 10 = 74
- w = 16, so length = 21
4.Kai thinks of a number, subtracts 3 and multiplies the result by 5. The answer is 5. What was the number?
Answer: 4
- 5(n − 3) = 5
- n − 3 = 1
- n = 4
5.A rectangle is 10 cm longer than it is wide. Its perimeter is 48 cm. Find its width and length.
Answer: width 7 cm, length 17 cm
- 2(w + w + 10) = 48
- 4w + 20 = 48
- w = 7, so length = 17
6.Noah thinks of a number, multiplies it by 4 and then adds 8. The answer is 36. Write an equation and find the number.
Answer: 7
- Let the number be n: 4n + 8 = 36
- 4n = 28
- n = 7
7.A rectangle is 6 cm longer than it is wide. Its perimeter is 32 cm. Find its width and length.
Answer: width 5 cm, length 11 cm
- 2(w + w + 6) = 32
- 4w + 12 = 32
- w = 5, so length = 11
8.The sum of 2 consecutive whole numbers is 117. Find the numbers.
Answer: 58, 59
- n + (n + 1) = 117
- 2n + 1 = 117
- n = 58
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.