10th Grade Equation Word Problems Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations10th 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.A rectangle is 10 cm longer than it is wide. Its perimeter is 100 cm. Find its width and length.
Answer: width 20 cm, length 30 cm
- 2(w + w + 10) = 100
- 4w + 20 = 100
- w = 20, so length = 30
2.Archie thinks of a number, subtracts 9 and multiplies the result by 5. The answer is 45. What was the number?
Answer: 18
- 5(n − 9) = 45
- n − 9 = 9
- n = 18
3.A rectangle is 5 cm longer than it is wide. Its perimeter is 90 cm. Find its width and length.
Answer: width 20 cm, length 25 cm
- 2(w + w + 5) = 90
- 4w + 10 = 90
- w = 20, so length = 25
4.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
5.Ruby thinks of a number, multiplies it by 4 and then adds 1. The answer is 49. Write an equation and find the number.
Answer: 12
- Let the number be n: 4n + 1 = 49
- 4n = 48
- n = 12
6.The sum of 4 consecutive whole numbers is 226. Find the numbers.
Answer: 55, 56, 57, 58
- n + (n + 1) + (n + 2) + (n + 3) = 226
- 4n + 6 = 226
- n = 55
7.The sum of 3 consecutive whole numbers is 69. Find the numbers.
Answer: 22, 23, 24
- n + (n + 1) + (n + 2) = 69
- 3n + 3 = 69
- n = 22
8.Grace thinks of a number, multiplies it by 2 and then adds 5. The answer is 37. Write an equation and find the number.
Answer: 16
- Let the number be n: 2n + 5 = 37
- 2n = 32
- n = 16
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.