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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 921 · 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.I think of a number, multiply it by 8 and then take away 2. The answer is 134. What is my number?
  2. 2.Karan has 23 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 4 and then take away 26. The answer is 82. What is my number?
  5. 5.I think of a number, multiply it by 9 and then take away 22. The answer is 131. What is my number?
  6. 6.I think of a number, multiply it by 5 and then add 15. The answer is 30. What is my number?
  7. 7.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 3 and then take away 6. The answer is 42. What is my number?
  11. 11.Nisha has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 9 and then take away 3. The answer is 177. What is my number?
  14. 14.Arjun has 30 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 9(x + 7) = 5x + 75. What is x?
  18. 18.6 × ? − 19 = 29
  19. 19.9 × ? − 25 = 110
  20. 20.Solve for x: 3(x + 4) = x + 16. What is x?
  21. 21.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  22. 22.Manav has 24 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  23. 23.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  25. 25.10 × ? + 25 = 235
  26. 26.Solve for x: 4(x + 8) = 2x + 62. What is x?
  27. 27.I think of a number, multiply it by 8 and then take away 10. The answer is 70. What is my number?
  28. 28.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 4 and then add 6. The answer is 46. What is my number?
  30. 30.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  31. 31.2 × ? − 11 = 33
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  34. 34.5 × ? + 28 = 43
  35. 35.Solve for x: 8(x + 5) = 2x + 106. What is x?
  36. 36.Solve for x: 7(x + 1) = 5x + 37. What is x?
  37. 37.Solve for x: 3(x + 7) = 2x + 35. What is x?
  38. 38.I think of a number, multiply it by 3 and then take away 9. The answer is 6. What is my number?
  39. 39.4 × ? + 3 = 39
  40. 40.I think of a number, multiply it by 8 and then add 9. The answer is 73. What is my number?

Answer key

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

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