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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 580 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  2. 2.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  3. 3.4 × ? − 22 = 70
  4. 4.10 × ? − 25 = 185
  5. 5.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 4 and then take away 6. The answer is 82. What is my number?
  7. 7.A pen costs ₹3 more than a pencil. 3 pens and 8 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  8. 8.8 × ? − 25 = 119
  9. 9.I think of a number, multiply it by 8 and then take away 30. The answer is 2. What is my number?
  10. 10.I think of a number, multiply it by 8 and then add 29. The answer is 117. What is my number?
  11. 11.A pen costs ₹14 more than a pencil. 3 pens and 4 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  14. 14.Solve for x: 3(x + 9) = 2x + 39. What is x?
  15. 15.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 13 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  17. 17.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  19. 19.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  20. 20.12 × ? − 23 = 13
  21. 21.Vivaan has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  22. 22.6 × ? + 24 = 72
  23. 23.I think of a number, multiply it by 7 and then add 21. The answer is 189. What is my number?
  24. 24.Solve for x: 5(x + 7) = 3x + 59. What is x?
  25. 25.I think of a number, multiply it by 9 and then take away 15. The answer is 66. What is my number?
  26. 26.A pen costs ₹15 more than a pencil. 6 pens and 6 pencils cost ₹294 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 4 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  28. 28.Solve for x: 5(x + 1) = x + 21. What is x?
  29. 29.4 × ? − 29 = 71
  30. 30.Solve for x: 5(x + 2) = x + 70. What is x?
  31. 31.Zoya has 30 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  33. 33.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹217 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 2 and then take away 32. The answer is 10. What is my number?
  35. 35.I think of a number, multiply it by 4 and then add 27. The answer is 59. What is my number?
  36. 36.I think of a number, multiply it by 3 and then add 6. The answer is 45. What is my number?
  37. 37.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 6 and then add 5. The answer is 23. What is my number?
  39. 39.Solve for x: 6(x + 7) = 2x + 98. What is x?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?

Answer key

  1. 15
  2. 6
  3. 23
  4. 21
  5. 27
  6. 22
  7. 3
  8. 18
  9. 4
  10. 11
  11. 4
  12. 6
  13. 7
  14. 12
  15. 6
  16. 10
  17. 14
  18. 25
  19. 18
  20. 3
  21. 8
  22. 8
  23. 24
  24. 12
  25. 9
  26. 17
  27. 3
  28. 4
  29. 25
  30. 15
  31. 3
  32. 17
  33. 19
  34. 21
  35. 8
  36. 13
  37. 9
  38. 3
  39. 14
  40. 6

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