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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 627 · 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 3 and then take away 3. The answer is 84. What is my number?
  2. 2.I think of a number, multiply it by 9 and then add 35. The answer is 62. What is my number?
  3. 3.3 × ? + 15 = 24
  4. 4.12 × ? + 21 = 297
  5. 5.Solve for x: 8(x + 9) = 5x + 78. What is x?
  6. 6.5 × ? + 2 = 22
  7. 7.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 5 and then add 33. The answer is 113. What is my number?
  9. 9.Priya has 30 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 9(x + 4) = 4x + 126. What is x?
  11. 11.I think of a number, multiply it by 4 and then take away 8. The answer is 36. What is my number?
  12. 12.Solve for x: 5(x + 3) = 4x + 25. What is x?
  13. 13.4 × ? − 6 = 26
  14. 14.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹10 more than a pencil. 5 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  16. 16.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹11 more than a pencil. 3 pens and 8 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 3(x + 5) = 2x + 33. What is x?
  19. 19.A pen costs ₹15 more than a pencil. 3 pens and 4 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  20. 20.6 × ? + 2 = 32
  21. 21.I think of a number, multiply it by 8 and then take away 14. The answer is 42. What is my number?
  22. 22.3 × ? − 26 = 37
  23. 23.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 3 and then add 31. The answer is 64. What is my number?
  25. 25.Solve for x: 4(x + 2) = 2x + 48. What is x?
  26. 26.Solve for x: 7(x + 8) = 4x + 89. What is x?
  27. 27.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  28. 28.A pen costs ₹7 more than a pencil. 6 pens and 7 pencils cost ₹289 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  30. 30.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 7 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 9 and then add 7. The answer is 88. What is my number?
  33. 33.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  34. 34.Manav has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 8(x + 4) = 5x + 53. What is x?
  37. 37.I think of a number, multiply it by 9 and then add 35. The answer is 215. What is my number?
  38. 38.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  39. 39.Manav has 28 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 4 and then add 26. The answer is 122. What is my number?

Answer key

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

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