7th Grade Equation Word Problems Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Linear Equations7th 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 26. Find the numbers.
Answer: 5, 6, 7, 8
- n + (n + 1) + (n + 2) + (n + 3) = 26
- 4n + 6 = 26
- n = 5
2.The sum of 3 consecutive whole numbers is 75. Find the numbers.
Answer: 24, 25, 26
- n + (n + 1) + (n + 2) = 75
- 3n + 3 = 75
- n = 24
3.The sum of 3 consecutive whole numbers is 18. Find the numbers.
Answer: 5, 6, 7
- n + (n + 1) + (n + 2) = 18
- 3n + 3 = 18
- n = 5
4.Max thinks of a number, multiplies it by 5 and then adds 14. The answer is 84. Write an equation and find the number.
Answer: 14
- Let the number be n: 5n + 14 = 84
- 5n = 70
- n = 14
5.The sum of 2 consecutive whole numbers is 67. Find the numbers.
Answer: 33, 34
- n + (n + 1) = 67
- 2n + 1 = 67
- n = 33
6.Hunter thinks of a number, subtracts 3 and multiplies the result by 3. The answer is 57. What was the number?
Answer: 22
- 3(n − 3) = 57
- n − 3 = 19
- n = 22
7.Jack thinks of a number, multiplies it by 5 and then adds 5. The answer is 70. Write an equation and find the number.
Answer: 13
- Let the number be n: 5n + 5 = 70
- 5n = 65
- n = 13
8.Harper thinks of a number, multiplies it by 5 and then adds 12. The answer is 42. Write an equation and find the number.
Answer: 6
- Let the number be n: 5n + 12 = 42
- 5n = 30
- n = 6
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.
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