9th Grade Equation Word Problems Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Equations9th 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.Isla thinks of a number, subtracts 9 and multiplies the result by 5. The answer is 70. What was the number?
Answer: 23
- 5(n − 9) = 70
- n − 9 = 14
- n = 23
2.The sum of 2 consecutive whole numbers is 71. Find the numbers.
Answer: 35, 36
- n + (n + 1) = 71
- 2n + 1 = 71
- n = 35
3.Olivia thinks of a number, multiplies it by 6 and then adds 11. The answer is 29. Write an equation and find the number.
Answer: 3
- Let the number be n: 6n + 11 = 29
- 6n = 18
- n = 3
4.A rectangle is 2 cm longer than it is wide. Its perimeter is 12 cm. Find its width and length.
Answer: width 2 cm, length 4 cm
- 2(w + w + 2) = 12
- 4w + 4 = 12
- w = 2, so length = 4
5.The sum of 3 consecutive whole numbers is 168. Find the numbers.
Answer: 55, 56, 57
- n + (n + 1) + (n + 2) = 168
- 3n + 3 = 168
- n = 55
6.The sum of 2 consecutive whole numbers is 81. Find the numbers.
Answer: 40, 41
- n + (n + 1) = 81
- 2n + 1 = 81
- n = 40
7.Chloe thinks of a number, multiplies it by 3 and then adds 4. The answer is 16. Write an equation and find the number.
Answer: 4
- Let the number be n: 3n + 4 = 16
- 3n = 12
- n = 4
8.Priya thinks of a number, multiplies it by 5 and then adds 2. The answer is 37. Write an equation and find the number.
Answer: 7
- Let the number be n: 5n + 2 = 37
- 5n = 35
- n = 7
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.