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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 908 · 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. 1.10 × ? − 4 = 46
  2. 2.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 7 and then take away 28. The answer is 105. What is my number?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 9 and then add 38. The answer is 119. What is my number?
  6. 6.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  7. 7.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 8 and then add 15. The answer is 87. What is my number?
  9. 9.Solve for x: 4(x + 9) = 3x + 49. What is x?
  10. 10.I think of a number, multiply it by 7 and then add 9. The answer is 212. What is my number?
  11. 11.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  12. 12.4 × ? + 18 = 34
  13. 13.I think of a number, multiply it by 5 and then add 16. The answer is 86. What is my number?
  14. 14.10 × ? − 2 = 138
  15. 15.11 × ? + 29 = 161
  16. 16.Solve for x: 7(x + 3) = x + 63. What is x?
  17. 17.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  18. 18.Solve for x: 7(x + 7) = 3x + 93. What is x?
  19. 19.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  20. 20.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹224 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 3(x + 1) = x + 25. What is x?
  22. 22.A pen costs ₹11 more than a pencil. 5 pens and 4 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  23. 23.11 × ? − 2 = 53
  24. 24.I think of a number, multiply it by 2 and then add 11. The answer is 45. What is my number?
  25. 25.Solve for x: 8(x + 4) = 3x + 107. What is x?
  26. 26.Tara has 26 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  27. 27.4 × ? + 1 = 101
  28. 28.3 × ? − 15 = 30
  29. 29.I think of a number, multiply it by 5 and then take away 35. The answer is 20. What is my number?
  30. 30.4 × ? + 18 = 74
  31. 31.I think of a number, multiply it by 7 and then add 17. The answer is 136. What is my number?
  32. 32.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  35. 35.12 × ? − 13 = 191
  36. 36.I think of a number, multiply it by 9 and then add 27. The answer is 54. What is my number?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  38. 38.9 × ? − 30 = 96
  39. 39.A pen costs ₹10 more than a pencil. 4 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 9(x + 1) = 7x + 37. What is x?

Answer key

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

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