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Word Problems — Easy Worksheet 2
Grade 8 · MathSheets Name: ____________________ Date: __________
Read each problem, write an equation, and solve.
How to solve
Set up the equation total = flat fee + (cost per mile × miles). Subtract the flat fee from the total, then divide by the cost per mile to find the number of miles.
Example
A rectangle is 3 cm longer than it is wide. Its perimeter is 34 cm. How wide is it, in cm?
Answer: 7
Not quite. The answer is
💡 Let w = the number of weeks. What he has now plus what he saves makes the goal: 18 + 8w = 66. Subtract 18 from both sides: 8w = 48. Divide both sides by 8: w = 6. Check: 18 + 8 × 6 = 66. He will have it after 6 weeks.
✓ Correct!
Not quite. The answer is
💡 Let w = the number of weeks. What he has now plus what he saves makes the goal: 18 + 8w = 66. Subtract 18 from both sides: 8w = 48. Divide both sides by 8: w = 6. Check: 18 + 8 × 6 = 66. He will have it after 6 weeks.
💡 How to solve: Word Problems
Set up the equation total = flat fee + (cost per mile × miles). Subtract the flat fee from the total, then divide by the cost per mile to find the number of miles.
Try a similar one
A gym charges a $5 sign-up fee plus $45 per month. Dana has paid $140 so far. How many months has she been a member?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Let n = the smallest number; the next two are n + 1 and n + 2. n + (n + 1) + (n + 2) = 15, so 3n + 3 = 15. Subtract 3 from both sides: 3n = 12. Divide both sides by 3: n = 4. Check: 3 × 4 + 3 = 15. The numbers are 4, 5 and 6, so the smallest is 4.
✓ Correct!
Not quite. The answer is
💡 Let n = the smallest number; the next two are n + 1 and n + 2. n + (n + 1) + (n + 2) = 15, so 3n + 3 = 15. Subtract 3 from both sides: 3n = 12. Divide both sides by 3: n = 4. Check: 3 × 4 + 3 = 15. The numbers are 4, 5 and 6, so the smallest is 4.
💡 How to solve: Word Problems
Set up the equation total = flat fee + (cost per mile × miles). Subtract the flat fee from the total, then divide by the cost per mile to find the number of miles.
Try a similar one
A gym charges a $5 sign-up fee plus $35 per month. Dana has paid $110 so far. How many months has she been a member?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Let b = her brother's age; Ana is b + 10. b + (b + 10) = 16, so 2b + 10 = 16. Subtract 10 from both sides: 2b = 6. Divide both sides by 2: b = 3. Check: 2 × 3 + 10 = 16. Her brother is 3 years old.
✓ Correct!
Not quite. The answer is
💡 Let b = her brother's age; Ana is b + 10. b + (b + 10) = 16, so 2b + 10 = 16. Subtract 10 from both sides: 2b = 6. Divide both sides by 2: b = 3. Check: 2 × 3 + 10 = 16. Her brother is 3 years old.
💡 How to solve: Word Problems
Set up the equation total = flat fee + (cost per mile × miles). Subtract the flat fee from the total, then divide by the cost per mile to find the number of miles.
Try a similar one
A plumber charges $30 to visit plus $80 per hour. A bill comes to $430. How many hours did the plumber work?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Let h = the number of hours. The visit charge plus the hourly cost makes the bill: 100 + 80h = 820. Subtract 100 from both sides: 80h = 720. Divide both sides by 80: h = 9. Check: 100 + 80 × 9 = 820. The plumber worked 9 hours.
✓ Correct!
Not quite. The answer is
💡 Let h = the number of hours. The visit charge plus the hourly cost makes the bill: 100 + 80h = 820. Subtract 100 from both sides: 80h = 720. Divide both sides by 80: h = 9. Check: 100 + 80 × 9 = 820. The plumber worked 9 hours.
💡 How to solve: Word Problems
Set up the equation total = flat fee + (cost per mile × miles). Subtract the flat fee from the total, then divide by the cost per mile to find the number of miles.
Try a similar one
The sum of three consecutive whole numbers is 21. What is the smallest of the three numbers?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Let t = the number of tickets. The booking fee plus the ticket cost makes what Sam pays: 11 + 17t = 164. Subtract 11 from both sides: 17t = 153. Divide both sides by 17: t = 9. Check: 11 + 17 × 9 = 164. Sam bought 9 tickets.
✓ Correct!
Not quite. The answer is
💡 Let t = the number of tickets. The booking fee plus the ticket cost makes what Sam pays: 11 + 17t = 164. Subtract 11 from both sides: 17t = 153. Divide both sides by 17: t = 9. Check: 11 + 17 × 9 = 164. Sam bought 9 tickets.
💡 How to solve: Word Problems
Set up the equation total = flat fee + (cost per mile × miles). Subtract the flat fee from the total, then divide by the cost per mile to find the number of miles.
Try a similar one
A gym charges a $45 sign-up fee plus $20 per month. Dana has paid $225 so far. How many months has she been a member?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Let m = the number of miles. The fee plus the cost per mile makes the total: 12 + 8m = 60. Subtract 12 from both sides: 8m = 48. Divide both sides by 8: m = 6. Check: 12 + 8 × 6 = 60. The ride was 6 miles.
✓ Correct!
Not quite. The answer is
💡 Let m = the number of miles. The fee plus the cost per mile makes the total: 12 + 8m = 60. Subtract 12 from both sides: 8m = 48. Divide both sides by 8: m = 6. Check: 12 + 8 × 6 = 60. The ride was 6 miles.
💡 How to solve: Word Problems
Set up the equation total = flat fee + (cost per mile × miles). Subtract the flat fee from the total, then divide by the cost per mile to find the number of miles.
Try a similar one
A taxi charges a flat fee of $4 plus $2 per mile. A ride costs $20. How many miles was the ride?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Let w = the width; the length is w + 10. Perimeter = 2 × width + 2 × length: 2w + 2(w + 10) = 32, so 4w + 20 = 32. Subtract 20 from both sides: 4w = 12. Divide both sides by 4: w = 3. Check: 4 × 3 + 20 = 32. The rectangle is 3 cm wide.
✓ Correct!
Not quite. The answer is
💡 Let w = the width; the length is w + 10. Perimeter = 2 × width + 2 × length: 2w + 2(w + 10) = 32, so 4w + 20 = 32. Subtract 20 from both sides: 4w = 12. Divide both sides by 4: w = 3. Check: 4 × 3 + 20 = 32. The rectangle is 3 cm wide.
💡 How to solve: Word Problems
Set up the equation total = flat fee + (cost per mile × miles). Subtract the flat fee from the total, then divide by the cost per mile to find the number of miles.
Try a similar one
A plumber charges $50 to visit plus $30 per hour. A bill comes to $260. How many hours did the plumber work?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Let m = the number of months. The sign-up fee plus the monthly cost makes what she paid: 25 + 40m = 185. Subtract 25 from both sides: 40m = 160. Divide both sides by 40: m = 4. Check: 25 + 40 × 4 = 185. She has been a member for 4 months.
✓ Correct!
Not quite. The answer is
💡 Let m = the number of months. The sign-up fee plus the monthly cost makes what she paid: 25 + 40m = 185. Subtract 25 from both sides: 40m = 160. Divide both sides by 40: m = 4. Check: 25 + 40 × 4 = 185. She has been a member for 4 months.
💡 How to solve: Word Problems
Set up the equation total = flat fee + (cost per mile × miles). Subtract the flat fee from the total, then divide by the cost per mile to find the number of miles.
Try a similar one
A candle is 17 cm tall and burns down 2 cm each hour. After how many hours will it be 11 cm tall?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Word Problems — Easy Worksheet 2
Read each problem, write an equation, and solve.