10th Grade Equation Word Problems Worksheet — Level 2 — Practice Set 4 — 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 — 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.Jayden thinks of a number, subtracts 9 and multiplies the result by 2. The answer is 8. What was the number?
Answer: 13
- 2(n − 9) = 8
- n − 9 = 4
- n = 13
2.Kai thinks of a number, multiplies it by 3 and then adds 12. The answer is 45. Write an equation and find the number.
Answer: 11
- Let the number be n: 3n + 12 = 45
- 3n = 33
- n = 11
3.Zoe thinks of a number, multiplies it by 2 and then adds 4. The answer is 32. Write an equation and find the number.
Answer: 14
- Let the number be n: 2n + 4 = 32
- 2n = 28
- n = 14
4.The sum of 2 consecutive whole numbers is 113. Find the numbers.
Answer: 56, 57
- n + (n + 1) = 113
- 2n + 1 = 113
- n = 56
5.A rectangle is 2 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.
Answer: width 16 cm, length 18 cm
- 2(w + w + 2) = 68
- 4w + 4 = 68
- w = 16, so length = 18
6.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
7.The sum of 3 consecutive whole numbers is 162. Find the numbers.
Answer: 53, 54, 55
- n + (n + 1) + (n + 2) = 162
- 3n + 3 = 162
- n = 53
8.The sum of 3 consecutive whole numbers is 123. Find the numbers.
Answer: 40, 41, 42
- n + (n + 1) + (n + 2) = 123
- 3n + 3 = 123
- n = 40
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.