9th Grade Equation Word Problems Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Equations9th Grade Equation Word Problems Worksheet — Level 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.The sum of 4 consecutive whole numbers is 82. Find the numbers.
Answer: 19, 20, 21, 22
- n + (n + 1) + (n + 2) + (n + 3) = 82
- 4n + 6 = 82
- n = 19
2.A rectangle is 9 cm longer than it is wide. Its perimeter is 58 cm. Find its width and length.
Answer: width 10 cm, length 19 cm
- 2(w + w + 9) = 58
- 4w + 18 = 58
- w = 10, so length = 19
3.Zoe thinks of a number, subtracts 3 and multiplies the result by 2. The answer is 10. What was the number?
Answer: 8
- 2(n − 3) = 10
- n − 3 = 5
- n = 8
4.Noah thinks of a number, subtracts 6 and multiplies the result by 2. The answer is 12. What was the number?
Answer: 12
- 2(n − 6) = 12
- n − 6 = 6
- n = 12
5.A rectangle is 10 cm longer than it is wide. Its perimeter is 76 cm. Find its width and length.
Answer: width 14 cm, length 24 cm
- 2(w + w + 10) = 76
- 4w + 20 = 76
- w = 14, so length = 24
6.Aisha thinks of a number, multiplies it by 4 and then adds 8. The answer is 48. Write an equation and find the number.
Answer: 10
- Let the number be n: 4n + 8 = 48
- 4n = 40
- n = 10
7.The sum of 3 consecutive whole numbers is 93. Find the numbers.
Answer: 30, 31, 32
- n + (n + 1) + (n + 2) = 93
- 3n + 3 = 93
- n = 30
8.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
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.