10th Grade Equation Word Problems Worksheet — Level 3 — Practice Set 2 — 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 — 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.Grace buys some notebooks at $4.50 each and pays $1.00 for delivery. The total is $10.00. How many notebooks did Grace buy?
Answer: 2
- 4.50n + 1.00 = 10.00
- 4.50n = 9.00
- n = 2
2.The sum of 2 consecutive whole numbers is 67. Find the numbers.
Answer: 33, 34
- n + (n + 1) = 67
- 2n + 1 = 67
- n = 33
3.Tom buys some notebooks at $3.00 each and pays $7.00 for delivery. The total is $16.00. How many notebooks did Tom buy?
Answer: 3
- 3.00n + 7.00 = 16.00
- 3.00n = 9.00
- n = 3
4.The sum of 2 consecutive whole numbers is 69. Find the numbers.
Answer: 34, 35
- n + (n + 1) = 69
- 2n + 1 = 69
- n = 34
5.Harper buys some notebooks at $1.00 each and pays $5.00 for delivery. The total is $8.00. How many notebooks did Harper buy?
Answer: 3
- 1.00n + 5.00 = 8.00
- 1.00n = 3.00
- n = 3
6.The sum of 2 consecutive whole numbers is 89. Find the numbers.
Answer: 44, 45
- n + (n + 1) = 89
- 2n + 1 = 89
- n = 44
7.The sum of 3 consecutive whole numbers is 27. Find the numbers.
Answer: 8, 9, 10
- n + (n + 1) + (n + 2) = 27
- 3n + 3 = 27
- n = 8
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.