9th Grade Equation Word Problems Worksheet — Level 3 — 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 3 — 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.Zoe buys some notebooks at $3.50 each and pays $1.00 for delivery. The total is $8.00. How many notebooks did Zoe buy?
Answer: 2
- 3.50n + 1.00 = 8.00
- 3.50n = 7.00
- n = 2
2.A rectangle is 10 cm longer than it is wide. Its perimeter is 96 cm. Find its width and length.
Answer: width 19 cm, length 29 cm
- 2(w + w + 10) = 96
- 4w + 20 = 96
- w = 19, so length = 29
3.Tom buys some notebooks at $1.50 each and pays $7.00 for delivery. The total is $13.00. How many notebooks did Tom buy?
Answer: 4
- 1.50n + 7.00 = 13.00
- 1.50n = 6.00
- n = 4
4.The sum of 2 consecutive whole numbers is 109. Find the numbers.
Answer: 54, 55
- n + (n + 1) = 109
- 2n + 1 = 109
- n = 54
5.A rectangle is 3 cm longer than it is wide. Its perimeter is 18 cm. Find its width and length.
Answer: width 3 cm, length 6 cm
- 2(w + w + 3) = 18
- 4w + 6 = 18
- w = 3, so length = 6
6.Liam buys some notebooks at $2.50 each and pays $7.00 for delivery. The total is $14.50. How many notebooks did Liam buy?
Answer: 3
- 2.50n + 7.00 = 14.50
- 2.50n = 7.50
- n = 3
7.Archie buys some notebooks at $4.00 each and pays $7.00 for delivery. The total is $15.00. How many notebooks did Archie buy?
Answer: 2
- 4.00n + 7.00 = 15.00
- 4.00n = 8.00
- n = 2
8.A rectangle is 1 cm longer than it is wide. Its perimeter is 30 cm. Find its width and length.
Answer: width 7 cm, length 8 cm
- 2(w + w + 1) = 30
- 4w + 2 = 30
- w = 7, so length = 8
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.