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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 726 · 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.Solve for x: 4(x + 2) = x + 53. What is x?
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 12 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  4. 4.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 5 and then add 22. The answer is 47. What is my number?
  6. 6.Solve for x: 7(x + 3) = 6x + 36. What is x?
  7. 7.I think of a number, multiply it by 8 and then take away 5. The answer is 139. What is my number?
  8. 8.I think of a number, multiply it by 4 and then take away 2. The answer is 42. What is my number?
  9. 9.I think of a number, multiply it by 6 and then add 37. The answer is 85. What is my number?
  10. 10.I think of a number, multiply it by 9 and then add 21. The answer is 84. What is my number?
  11. 11.Diya has 27 coins, all ₹5 and ₹2 coins, worth ₹129 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  13. 13.Solve for x: 4(x + 1) = 2x + 14. What is x?
  14. 14.I think of a number, multiply it by 3 and then add 13. The answer is 31. What is my number?
  15. 15.I think of a number, multiply it by 7 and then add 9. The answer is 23. What is my number?
  16. 16.I think of a number, multiply it by 3 and then add 39. The answer is 75. What is my number?
  17. 17.A pen costs ₹10 more than a pencil. 4 pens and 2 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  20. 20.Ananya has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 7 and then take away 23. The answer is 117. What is my number?
  22. 22.10 × ? − 17 = 3
  23. 23.5 × ? − 9 = 46
  24. 24.10 × ? + 24 = 184
  25. 25.I think of a number, multiply it by 2 and then add 11. The answer is 31. What is my number?
  26. 26.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  27. 27.6 × ? + 6 = 96
  28. 28.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  30. 30.3 × ? + 13 = 76
  31. 31.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  32. 32.Solve for x: 7(x + 9) = 5x + 73. What is x?
  33. 33.Manav has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 4(x + 6) = 3x + 43. What is x?
  35. 35.A pen costs ₹3 more than a pencil. 3 pens and 8 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 9 and then add 13. The answer is 31. What is my number?
  37. 37.Priya has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 9(x + 7) = x + 135. What is x?
  39. 39.Solve for x: 7(x + 8) = x + 158. What is x?
  40. 40.Solve for x: 9(x + 3) = 2x + 48. What is x?

Answer key

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

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