10th Grade Equation Word Problems Worksheet — Level 3 — Practice Set 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 — Practice Set 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.The sum of 2 consecutive whole numbers is 105. Find the numbers.
Answer: 52, 53
- n + (n + 1) = 105
- 2n + 1 = 105
- n = 52
2.The sum of 4 consecutive whole numbers is 174. Find the numbers.
Answer: 42, 43, 44, 45
- n + (n + 1) + (n + 2) + (n + 3) = 174
- 4n + 6 = 174
- n = 42
3.The sum of 4 consecutive whole numbers is 190. Find the numbers.
Answer: 46, 47, 48, 49
- n + (n + 1) + (n + 2) + (n + 3) = 190
- 4n + 6 = 190
- n = 46
4.A rectangle is 4 cm longer than it is wide. Its perimeter is 84 cm. Find its width and length.
Answer: width 19 cm, length 23 cm
- 2(w + w + 4) = 84
- 4w + 8 = 84
- w = 19, so length = 23
5.Mia buys some notebooks at $1.00 each and pays $4.00 for delivery. The total is $10.00. How many notebooks did Mia buy?
Answer: 6
- 1.00n + 4.00 = 10.00
- 1.00n = 6.00
- n = 6
6.Olivia buys some notebooks at $2.00 each and pays $4.00 for delivery. The total is $14.00. How many notebooks did Olivia buy?
Answer: 5
- 2.00n + 4.00 = 14.00
- 2.00n = 10.00
- n = 5
7.A rectangle is 2 cm longer than it is wide. Its perimeter is 24 cm. Find its width and length.
Answer: width 5 cm, length 7 cm
- 2(w + w + 2) = 24
- 4w + 4 = 24
- w = 5, so length = 7
8.Olivia buys some notebooks at $4.00 each and pays $7.00 for delivery. The total is $31.00. How many notebooks did Olivia buy?
Answer: 6
- 4.00n + 7.00 = 31.00
- 4.00n = 24.00
- n = 6
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.