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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 939 · 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: 3(x + 5) = x + 23. What is x?
  2. 2.3 × ? + 21 = 39
  3. 3.Farhan has 30 coins, all ₹5 and ₹2 coins, worth ₹147 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 3(x + 1) = 2x + 15. What is x?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 4 and then add 35. The answer is 71. What is my number?
  7. 7.11 × ? − 28 = 159
  8. 8.The length of a rectangle is 4 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  9. 9.Saanvi has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  11. 11.3 × ? − 10 = 47
  12. 12.A pen costs ₹4 more than a pencil. 3 pens and 7 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 4 and then add 35. The answer is 79. What is my number?
  14. 14.Meera has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 5 and then add 36. The answer is 91. What is my number?
  16. 16.Solve for x: 4(x + 8) = 3x + 35. What is x?
  17. 17.I think of a number, multiply it by 7 and then take away 1. The answer is 181. What is my number?
  18. 18.Karan has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  20. 20.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  21. 21.Aarav has 30 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹8 more than a pencil. 4 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  23. 23.11 × ? − 9 = 35
  24. 24.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 3(x + 7) = x + 55. What is x?
  26. 26.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  27. 27.Tara has 30 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  28. 28.11 × ? + 18 = 216
  29. 29.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  30. 30.8 × ? + 2 = 34
  31. 31.I think of a number, multiply it by 3 and then add 34. The answer is 79. What is my number?
  32. 32.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 3(x + 5) = 2x + 27. What is x?
  34. 34.I think of a number, multiply it by 8 and then take away 35. The answer is 109. What is my number?
  35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 4 and then add 15. The answer is 103. What is my number?
  37. 37.10 × ? − 6 = 44
  38. 38.I think of a number, multiply it by 7 and then add 25. The answer is 39. What is my number?
  39. 39.Solve for x: 7(x + 6) = 2x + 112. What is x?
  40. 40.8 × ? + 7 = 71

Answer key

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

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