10th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 3 — 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 1 — Practice Set 3 — 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.Lucas thinks of a number, subtracts 5 and multiplies the result by 2. The answer is 16. What was the number?
Answer: 13
- 2(n − 5) = 16
- n − 5 = 8
- n = 13
2.Ava thinks of a number, subtracts 12 and multiplies the result by 3. The answer is 30. What was the number?
Answer: 22
- 3(n − 12) = 30
- n − 12 = 10
- n = 22
3.Ruby thinks of a number, subtracts 7 and multiplies the result by 2. The answer is 14. What was the number?
Answer: 14
- 2(n − 7) = 14
- n − 7 = 7
- n = 14
4.Grace thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 12. What was the number?
Answer: 12
- 3(n − 8) = 12
- n − 8 = 4
- n = 12
5.Grace thinks of a number, subtracts 12 and multiplies the result by 3. The answer is 27. What was the number?
Answer: 21
- 3(n − 12) = 27
- n − 12 = 9
- n = 21
6.Liam thinks of a number, multiplies it by 5 and then adds 7. The answer is 77. Write an equation and find the number.
Answer: 14
- Let the number be n: 5n + 7 = 77
- 5n = 70
- n = 14
7.Jayden thinks of a number, subtracts 2 and multiplies the result by 5. The answer is 80. What was the number?
Answer: 18
- 5(n − 2) = 80
- n − 2 = 16
- n = 18
8.Hunter thinks of a number, subtracts 7 and multiplies the result by 2. The answer is 18. What was the number?
Answer: 16
- 2(n − 7) = 18
- n − 7 = 9
- 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.