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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 720 · 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. 1.3 × ? − 14 = 22
  2. 2.I think of a number, multiply it by 4 and then add 30. The answer is 90. What is my number?
  3. 3.Kabir has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 3(x + 7) = x + 43. What is x?
  5. 5.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 6 and then add 14. The answer is 140. What is my number?
  9. 9.8 × ? − 6 = 114
  10. 10.6 × ? + 19 = 97
  11. 11.Kavya has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  12. 12.2 × ? + 20 = 40
  13. 13.Solve for x: 7(x + 1) = 5x + 15. What is x?
  14. 14.10 × ? + 26 = 216
  15. 15.I think of a number, multiply it by 4 and then add 24. The answer is 140. What is my number?
  16. 16.Solve for x: 9(x + 7) = 8x + 65. What is x?
  17. 17.I think of a number, multiply it by 2 and then take away 40. The answer is 20. What is my number?
  18. 18.A pen costs ₹6 more than a pencil. 6 pens and 5 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 3(x + 1) = 2x + 20. What is x?
  20. 20.I think of a number, multiply it by 7 and then add 19. The answer is 54. What is my number?
  21. 21.Solve for x: 8(x + 2) = 6x + 54. What is x?
  22. 22.I think of a number, multiply it by 9 and then take away 40. The answer is 59. What is my number?
  23. 23.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  24. 24.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 4(x + 7) = x + 31. What is x?
  26. 26.The length of a rectangle is 11 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 5 and then take away 3. The answer is 62. What is my number?
  28. 28.5 × ? + 14 = 54
  29. 29.3 × ? + 14 = 44
  30. 30.I think of a number, multiply it by 4 and then take away 9. The answer is 7. What is my number?
  31. 31.I think of a number, multiply it by 5 and then take away 12. The answer is 18. What is my number?
  32. 32.Solve for x: 8(x + 9) = x + 107. What is x?
  33. 33.12 × ? − 27 = 21
  34. 34.Solve for x: 5(x + 3) = 2x + 24. What is x?
  35. 35.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 5 and then add 21. The answer is 141. What is my number?
  37. 37.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹271 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 6(x + 7) = 3x + 63. What is x?
  39. 39.12 × ? + 15 = 195
  40. 40.8 × ? + 26 = 50

Answer key

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

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