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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 440 · 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 × ? + 17 = 187
  2. 2.10 × ? − 27 = 3
  3. 3.Solve for x: 7(x + 2) = 4x + 20. What is x?
  4. 4.6 × ? − 3 = 105
  5. 5.I think of a number, multiply it by 3 and then add 2. The answer is 29. What is my number?
  6. 6.7 × ? − 6 = 99
  7. 7.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 6 and then add 23. The answer is 167. What is my number?
  9. 9.I think of a number, multiply it by 4 and then add 2. The answer is 110. What is my number?
  10. 10.Dev has 20 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹10 more than a pencil. 4 pens and 6 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  13. 13.Solve for x: 6(x + 7) = 4x + 74. What is x?
  14. 14.A pen costs ₹2 more than a pencil. 5 pens and 4 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  15. 15.Rahul has 30 coins, all ₹5 and ₹2 coins, worth ₹129 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹13 more than a pencil. 5 pens and 4 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  17. 17.3 × ? − 15 = 42
  18. 18.I think of a number, multiply it by 3 and then add 1. The answer is 82. What is my number?
  19. 19.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  20. 20.3 × ? + 6 = 51
  21. 21.8 × ? + 11 = 27
  22. 22.I think of a number, multiply it by 9 and then add 7. The answer is 79. What is my number?
  23. 23.I think of a number, multiply it by 7 and then take away 20. The answer is 1. What is my number?
  24. 24.I think of a number, multiply it by 3 and then take away 4. The answer is 59. What is my number?
  25. 25.Rohan has 27 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  26. 26.2 × ? − 8 = 4
  27. 27.4 × ? + 4 = 24
  28. 28.I think of a number, multiply it by 6 and then add 7. The answer is 139. What is my number?
  29. 29.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  30. 30.Solve for x: 6(x + 4) = 5x + 27. What is x?
  31. 31.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 3(x + 4) = x + 38. What is x?
  33. 33.11 × ? − 14 = 140
  34. 34.Solve for x: 3(x + 7) = 2x + 26. What is x?
  35. 35.10 × ? − 15 = 125
  36. 36.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  38. 38.Kavya has 18 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 7(x + 8) = 2x + 146. What is x?
  40. 40.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹48 in all. What does one pencil cost (in ₹)?

Answer key

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

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