9th Grade Equation Word Problems Worksheet — Level 3 — Practice Set 2 — 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 2 — 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 83. Find the numbers.
Answer: 41, 42
- n + (n + 1) = 83
- 2n + 1 = 83
- n = 41
2.Liam buys some notebooks at $4.50 each and pays $6.00 for delivery. The total is $19.50. How many notebooks did Liam buy?
Answer: 3
- 4.50n + 6.00 = 19.50
- 4.50n = 13.50
- n = 3
3.The sum of 3 consecutive whole numbers is 57. Find the numbers.
Answer: 18, 19, 20
- n + (n + 1) + (n + 2) = 57
- 3n + 3 = 57
- n = 18
4.Zoe buys some notebooks at $1.00 each and pays $2.00 for delivery. The total is $6.00. How many notebooks did Zoe buy?
Answer: 4
- 1.00n + 2.00 = 6.00
- 1.00n = 4.00
- n = 4
5.Grace buys some notebooks at $1.50 each and pays $3.00 for delivery. The total is $7.50. How many notebooks did Grace buy?
Answer: 3
- 1.50n + 3.00 = 7.50
- 1.50n = 4.50
- n = 3
6.Zoe buys some notebooks at $4.50 each and pays $8.00 for delivery. The total is $30.50. How many notebooks did Zoe buy?
Answer: 5
- 4.50n + 8.00 = 30.50
- 4.50n = 22.50
- n = 5
7.Ethan buys some notebooks at $4.50 each and pays $4.00 for delivery. The total is $17.50. How many notebooks did Ethan buy?
Answer: 3
- 4.50n + 4.00 = 17.50
- 4.50n = 13.50
- n = 3
8.A rectangle is 2 cm longer than it is wide. Its perimeter is 52 cm. Find its width and length.
Answer: width 12 cm, length 14 cm
- 2(w + w + 2) = 52
- 4w + 4 = 52
- w = 12, so length = 14
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.