10th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
10th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 4 — 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.Priya thinks of a number, multiplies it by 5 and then adds 11. The answer is 96. Write an equation and find the number.
Answer: 17
- Let the number be n: 5n + 11 = 96
- 5n = 85
- n = 17
2.Sienna thinks of a number, subtracts 6 and multiplies the result by 2. The answer is 32. What was the number?
Answer: 22
- 2(n − 6) = 32
- n − 6 = 16
- n = 22
3.Chloe thinks of a number, multiplies it by 4 and then adds 8. The answer is 32. Write an equation and find the number.
Answer: 6
- Let the number be n: 4n + 8 = 32
- 4n = 24
- n = 6
4.Kai thinks of a number, subtracts 6 and multiplies the result by 4. The answer is 40. What was the number?
Answer: 16
- 4(n − 6) = 40
- n − 6 = 10
- n = 16
5.Kai thinks of a number, subtracts 5 and multiplies the result by 4. The answer is 68. What was the number?
Answer: 22
- 4(n − 5) = 68
- n − 5 = 17
- n = 22
6.Archie thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 8. What was the number?
Answer: 4
- 4(n − 2) = 8
- n − 2 = 2
- n = 4
7.Sienna thinks of a number, subtracts 4 and multiplies the result by 4. The answer is 52. What was the number?
Answer: 17
- 4(n − 4) = 52
- n − 4 = 13
- n = 17
8.Priya thinks of a number, multiplies it by 6 and then adds 3. The answer is 57. Write an equation and find the number.
Answer: 9
- Let the number be n: 6n + 3 = 57
- 6n = 54
- n = 9
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.