9th Grade Equation Word Problems Worksheet — Level 3 — Practice Set 3 — 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 3 — 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.The sum of 2 consecutive whole numbers is 47. Find the numbers.
Answer: 23, 24
- n + (n + 1) = 47
- 2n + 1 = 47
- n = 23
2.The sum of 2 consecutive whole numbers is 35. Find the numbers.
Answer: 17, 18
- n + (n + 1) = 35
- 2n + 1 = 35
- n = 17
3.Isla buys some notebooks at $3.00 each and pays $7.00 for delivery. The total is $13.00. How many notebooks did Isla buy?
Answer: 2
- 3.00n + 7.00 = 13.00
- 3.00n = 6.00
- n = 2
4.The sum of 4 consecutive whole numbers is 138. Find the numbers.
Answer: 33, 34, 35, 36
- n + (n + 1) + (n + 2) + (n + 3) = 138
- 4n + 6 = 138
- n = 33
5.Olivia buys some notebooks at $2.50 each and pays $4.00 for delivery. The total is $16.50. How many notebooks did Olivia buy?
Answer: 5
- 2.50n + 4.00 = 16.50
- 2.50n = 12.50
- n = 5
6.A rectangle is 4 cm longer than it is wide. Its perimeter is 48 cm. Find its width and length.
Answer: width 10 cm, length 14 cm
- 2(w + w + 4) = 48
- 4w + 8 = 48
- w = 10, so length = 14
7.The sum of 3 consecutive whole numbers is 66. Find the numbers.
Answer: 21, 22, 23
- n + (n + 1) + (n + 2) = 66
- 3n + 3 = 66
- n = 21
8.Oliver buys some notebooks at $4.50 each and pays $6.00 for delivery. The total is $15.00. How many notebooks did Oliver buy?
Answer: 2
- 4.50n + 6.00 = 15.00
- 4.50n = 9.00
- n = 2
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.