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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 437 · 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: 6(x + 1) = 5x + 8. What is x?
  2. 2.Aarav has 22 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 2 and then add 33. The answer is 51. What is my number?
  4. 4.Solve for x: 5(x + 8) = x + 100. What is x?
  5. 5.Solve for x: 9(x + 3) = x + 155. What is x?
  6. 6.Solve for x: 3(x + 5) = 2x + 25. What is x?
  7. 7.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 8(x + 7) = 5x + 98. What is x?
  9. 9.6 × ? + 22 = 64
  10. 10.Tara has 28 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  12. 12.2 × ? + 30 = 40
  13. 13.I think of a number, multiply it by 8 and then add 10. The answer is 90. What is my number?
  14. 14.11 × ? − 2 = 86
  15. 15.The length of a rectangle is 15 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  16. 16.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 9(x + 1) = 8x + 22. What is x?
  18. 18.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  19. 19.4 × ? + 26 = 94
  20. 20.I think of a number, multiply it by 2 and then add 7. The answer is 55. What is my number?
  21. 21.12 × ? + 17 = 161
  22. 22.5 × ? − 10 = 110
  23. 23.I think of a number, multiply it by 5 and then take away 22. The answer is 108. What is my number?
  24. 24.I think of a number, multiply it by 7 and then take away 9. The answer is 54. What is my number?
  25. 25.3 × ? − 2 = 52
  26. 26.A pen costs ₹14 more than a pencil. 2 pens and 5 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 7 and then add 27. The answer is 69. What is my number?
  28. 28.I think of a number, multiply it by 7 and then add 36. The answer is 57. What is my number?
  29. 29.Sneha has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  30. 30.Zoya has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 4 and then take away 23. The answer is 85. What is my number?
  32. 32.Solve for x: 3(x + 4) = 2x + 31. What is x?
  33. 33.I think of a number, multiply it by 3 and then add 10. The answer is 16. What is my number?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  35. 35.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  36. 36.Tara has 30 coins, all ₹5 and ₹2 coins, worth ₹147 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  38. 38.A pen costs ₹15 more than a pencil. 3 pens and 8 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  39. 39.8 × ? − 3 = 13
  40. 40.6 × ? + 29 = 47

Answer key

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

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