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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 407 · 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: 7(x + 8) = 2x + 71. What is x?
  2. 2.Solve for x: 7(x + 2) = 2x + 79. What is x?
  3. 3.A pen costs ₹11 more than a pencil. 4 pens and 7 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 7 and then add 17. The answer is 66. What is my number?
  5. 5.I think of a number, multiply it by 5 and then take away 15. The answer is 30. What is my number?
  6. 6.A pen costs ₹4 more than a pencil. 3 pens and 7 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 4 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  8. 8.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  9. 9.8 × ? − 26 = 6
  10. 10.I think of a number, multiply it by 3 and then take away 4. The answer is 26. What is my number?
  11. 11.Solve for x: 6(x + 9) = 4x + 86. What is x?
  12. 12.Solve for x: 4(x + 9) = x + 72. What is x?
  13. 13.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  14. 14.5 × ? − 24 = 26
  15. 15.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 4 and then add 35. The answer is 135. What is my number?
  17. 17.Ananya has 27 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 7(x + 1) = 2x + 107. What is x?
  19. 19.A pen costs ₹11 more than a pencil. 4 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  20. 20.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 3(x + 8) = x + 48. What is x?
  22. 22.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  23. 23.12 × ? − 10 = 62
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  25. 25.Solve for x: 9(x + 2) = 2x + 130. What is x?
  26. 26.I think of a number, multiply it by 3 and then add 3. The answer is 72. What is my number?
  27. 27.11 × ? − 17 = 115
  28. 28.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 8 and then take away 35. The answer is 85. What is my number?
  30. 30.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  34. 34.Solve for x: 5(x + 3) = 4x + 31. What is x?
  35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  36. 36.Manav has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  37. 37.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  38. 38.10 × ? − 23 = 147
  39. 39.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 5 and then add 39. The answer is 84. What is my number?

Answer key

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

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