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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 109 · 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 + 9) = x + 42. What is x?
  2. 2.4 × ? − 23 = 21
  3. 3.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  4. 4.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹237 in all. What does one pencil cost (in ₹)?
  5. 5.12 × ? + 9 = 249
  6. 6.I think of a number, multiply it by 2 and then take away 5. The answer is 29. What is my number?
  7. 7.3 × ? − 22 = 38
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 3 and then add 34. The answer is 124. What is my number?
  10. 10.The length of a rectangle is 11 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 4 and then take away 16. The answer is 76. What is my number?
  12. 12.3 × ? + 21 = 36
  13. 13.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  14. 14.Priya has 15 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 6(x + 2) = 3x + 27. What is x?
  16. 16.4 × ? + 30 = 62
  17. 17.Solve for x: 7(x + 7) = 5x + 57. What is x?
  18. 18.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹143 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 9 and then take away 14. The answer is 121. What is my number?
  20. 20.Vivaan has 29 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 6 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 9 and then take away 18. The answer is 162. What is my number?
  23. 23.The length of a rectangle is 7 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  24. 24.5 × ? − 15 = 65
  25. 25.Priya has 21 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  27. 27.2 × ? − 3 = 19
  28. 28.Solve for x: 7(x + 6) = x + 66. What is x?
  29. 29.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 6 and then take away 7. The answer is 65. What is my number?
  31. 31.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 9(x + 8) = 6x + 120. What is x?
  34. 34.I think of a number, multiply it by 4 and then add 29. The answer is 45. What is my number?
  35. 35.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 3(x + 2) = 2x + 24. What is x?
  37. 37.Aditya has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  38. 38.7 × ? − 16 = 110
  39. 39.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 6(x + 9) = 3x + 57. What is x?

Answer key

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

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