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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 13 · 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.I think of a number, multiply it by 3 and then add 21. The answer is 81. What is my number?
  2. 2.I think of a number, multiply it by 4 and then add 8. The answer is 96. What is my number?
  3. 3.I think of a number, multiply it by 4 and then add 35. The answer is 135. What is my number?
  4. 4.Solve for x: 8(x + 2) = 4x + 24. What is x?
  5. 5.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  6. 6.Diya has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  7. 7.9 × ? − 15 = 156
  8. 8.Isha has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  9. 9.8 × ? − 14 = 122
  10. 10.Solve for x: 4(x + 7) = 3x + 47. What is x?
  11. 11.I think of a number, multiply it by 9 and then take away 17. The answer is 1. What is my number?
  12. 12.2 × ? − 11 = 29
  13. 13.I think of a number, multiply it by 7 and then take away 39. The answer is 164. What is my number?
  14. 14.Solve for x: 8(x + 9) = 4x + 108. What is x?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  16. 16.Solve for x: 4(x + 5) = 2x + 44. What is x?
  17. 17.I think of a number, multiply it by 5 and then take away 17. The answer is 83. What is my number?
  18. 18.Tara has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 3(x + 5) = 2x + 27. What is x?
  20. 20.I think of a number, multiply it by 6 and then add 10. The answer is 130. What is my number?
  21. 21.Solve for x: 3(x + 1) = x + 9. What is x?
  22. 22.I think of a number, multiply it by 2 and then add 24. The answer is 52. What is my number?
  23. 23.2 × ? + 21 = 29
  24. 24.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  25. 25.Solve for x: 5(x + 2) = x + 82. What is x?
  26. 26.Solve for x: 5(x + 6) = x + 58. What is x?
  27. 27.2 × ? + 23 = 65
  28. 28.I think of a number, multiply it by 2 and then add 2. The answer is 30. What is my number?
  29. 29.Kabir has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  30. 30.Kavya has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 7 and then take away 35. The answer is 91. What is my number?
  32. 32.5 × ? − 2 = 63
  33. 33.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹5 more than a pencil. 6 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 2 and then add 11. The answer is 71. What is my number?
  36. 36.Solve for x: 6(x + 6) = 5x + 49. What is x?
  37. 37.Tara has 29 coins, all ₹5 and ₹2 coins, worth ₹130 in all. How many ₹5 coins are there?
  38. 38.Pooja has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 6 and then take away 29. The answer is 103. What is my number?

Answer key

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

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