10th Grade Equation Word Problems Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations10th 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.A rectangle is 2 cm longer than it is wide. Its perimeter is 60 cm. Find its width and length.
Answer: width 14 cm, length 16 cm
- 2(w + w + 2) = 60
- 4w + 4 = 60
- w = 14, so length = 16
2.Noah buys some notebooks at $2.00 each and pays $4.00 for delivery. The total is $8.00. How many notebooks did Noah buy?
Answer: 2
- 2.00n + 4.00 = 8.00
- 2.00n = 4.00
- n = 2
3.A rectangle is 8 cm longer than it is wide. Its perimeter is 84 cm. Find its width and length.
Answer: width 17 cm, length 25 cm
- 2(w + w + 8) = 84
- 4w + 16 = 84
- w = 17, so length = 25
4.Amelia buys some notebooks at $3.00 each and pays $8.00 for delivery. The total is $20.00. How many notebooks did Amelia buy?
Answer: 4
- 3.00n + 8.00 = 20.00
- 3.00n = 12.00
- n = 4
5.A rectangle is 2 cm longer than it is wide. Its perimeter is 64 cm. Find its width and length.
Answer: width 15 cm, length 17 cm
- 2(w + w + 2) = 64
- 4w + 4 = 64
- w = 15, so length = 17
6.Chloe buys some notebooks at $3.50 each and pays $6.00 for delivery. The total is $13.00. How many notebooks did Chloe buy?
Answer: 2
- 3.50n + 6.00 = 13.00
- 3.50n = 7.00
- n = 2
7.A rectangle is 1 cm longer than it is wide. Its perimeter is 62 cm. Find its width and length.
Answer: width 15 cm, length 16 cm
- 2(w + w + 1) = 62
- 4w + 2 = 62
- w = 15, so length = 16
8.The sum of 2 consecutive whole numbers is 63. Find the numbers.
Answer: 31, 32
- n + (n + 1) = 63
- 2n + 1 = 63
- n = 31
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.