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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 725 · 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.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 2 and then add 29. The answer is 39. What is my number?
  3. 3.Solve for x: 5(x + 9) = 3x + 81. What is x?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 8 and then add 38. The answer is 94. What is my number?
  6. 6.A pen costs ₹3 more than a pencil. 3 pens and 8 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 3 and then take away 2. The answer is 22. What is my number?
  8. 8.Solve for x: 8(x + 7) = 2x + 68. What is x?
  9. 9.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹296 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹221 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 8 and then add 34. The answer is 146. What is my number?
  13. 13.I think of a number, multiply it by 9 and then add 12. The answer is 264. What is my number?
  14. 14.Solve for x: 4(x + 6) = 3x + 34. What is x?
  15. 15.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  16. 16.10 × ? − 11 = 49
  17. 17.Karan has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 9(x + 3) = 8x + 33. What is x?
  19. 19.12 × ? − 22 = 158
  20. 20.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  22. 22.Priya has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  23. 23.Vivaan has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  24. 24.8 × ? − 23 = 89
  25. 25.I think of a number, multiply it by 2 and then take away 13. The answer is 19. What is my number?
  26. 26.Solve for x: 8(x + 9) = 3x + 112. What is x?
  27. 27.Karan has 24 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 4 and then add 2. The answer is 102. What is my number?
  30. 30.6 × ? + 7 = 145
  31. 31.Solve for x: 6(x + 2) = 4x + 42. What is x?
  32. 32.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  33. 33.8 × ? − 4 = 68
  34. 34.I think of a number, multiply it by 7 and then add 2. The answer is 58. What is my number?
  35. 35.Solve for x: 3(x + 4) = x + 46. What is x?
  36. 36.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  37. 37.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 2 and then add 6. The answer is 18. What is my number?
  39. 39.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 8(x + 7) = 3x + 61. What is x?

Answer key

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

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