9th Grade Equation Word Problems Worksheet — Level 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 — 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.Harper buys some notebooks at $3.50 each and pays $6.00 for delivery. The total is $27.00. How many notebooks did Harper buy?
Answer: 6
- 3.50n + 6.00 = 27.00
- 3.50n = 21.00
- n = 6
2.Sienna buys some notebooks at $3.50 each and pays $8.00 for delivery. The total is $25.50. How many notebooks did Sienna buy?
Answer: 5
- 3.50n + 8.00 = 25.50
- 3.50n = 17.50
- n = 5
3.Isla buys some notebooks at $2.50 each and pays $4.00 for delivery. The total is $11.50. How many notebooks did Isla buy?
Answer: 3
- 2.50n + 4.00 = 11.50
- 2.50n = 7.50
- n = 3
4.A rectangle is 9 cm longer than it is wide. Its perimeter is 58 cm. Find its width and length.
Answer: width 10 cm, length 19 cm
- 2(w + w + 9) = 58
- 4w + 18 = 58
- w = 10, so length = 19
5.The sum of 3 consecutive whole numbers is 141. Find the numbers.
Answer: 46, 47, 48
- n + (n + 1) + (n + 2) = 141
- 3n + 3 = 141
- n = 46
6.Chloe buys some notebooks at $4.00 each and pays $1.00 for delivery. The total is $25.00. How many notebooks did Chloe buy?
Answer: 6
- 4.00n + 1.00 = 25.00
- 4.00n = 24.00
- n = 6
7.Grace buys some notebooks at $2.50 each and pays $8.00 for delivery. The total is $15.50. How many notebooks did Grace buy?
Answer: 3
- 2.50n + 8.00 = 15.50
- 2.50n = 7.50
- n = 3
8.The sum of 2 consecutive whole numbers is 51. Find the numbers.
Answer: 25, 26
- n + (n + 1) = 51
- 2n + 1 = 51
- n = 25
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.