9th Grade Equation Word Problems Worksheet — Level 2 — Practice Set 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 — 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.A rectangle is 3 cm longer than it is wide. Its perimeter is 46 cm. Find its width and length.
Answer: width 10 cm, length 13 cm
- 2(w + w + 3) = 46
- 4w + 6 = 46
- w = 10, so length = 13
2.Ethan thinks of a number, multiplies it by 5 and then adds 10. The answer is 40. Write an equation and find the number.
Answer: 6
- Let the number be n: 5n + 10 = 40
- 5n = 30
- n = 6
3.A rectangle is 7 cm longer than it is wide. Its perimeter is 42 cm. Find its width and length.
Answer: width 7 cm, length 14 cm
- 2(w + w + 7) = 42
- 4w + 14 = 42
- w = 7, so length = 14
4.A rectangle is 1 cm longer than it is wide. Its perimeter is 42 cm. Find its width and length.
Answer: width 10 cm, length 11 cm
- 2(w + w + 1) = 42
- 4w + 2 = 42
- w = 10, so length = 11
5.A rectangle is 1 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.
Answer: width 15 cm, length 16 cm
- 2(w + w + 1) = 62
- 4w + 2 = 62
- w = 15, so length = 16
6.The sum of 2 consecutive whole numbers is 111. Find the numbers.
Answer: 55, 56
- n + (n + 1) = 111
- 2n + 1 = 111
- n = 55
7.Isla thinks of a number, multiplies it by 6 and then adds 4. The answer is 82. Write an equation and find the number.
Answer: 13
- Let the number be n: 6n + 4 = 82
- 6n = 78
- n = 13
8.Amelia thinks of a number, multiplies it by 5 and then adds 1. The answer is 66. Write an equation and find the number.
Answer: 13
- Let the number be n: 5n + 1 = 66
- 5n = 65
- n = 13
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.