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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 897 · 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.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 3(x + 5) = 2x + 16. What is x?
  4. 4.7 × ? − 11 = 150
  5. 5.Solve for x: 4(x + 2) = 2x + 16. What is x?
  6. 6.I think of a number, multiply it by 8 and then take away 3. The answer is 229. What is my number?
  7. 7.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 5 and then take away 27. The answer is 88. What is my number?
  9. 9.6 × ? + 7 = 49
  10. 10.I think of a number, multiply it by 4 and then add 13. The answer is 37. What is my number?
  11. 11.3 × ? + 2 = 23
  12. 12.Solve for x: 5(x + 8) = 2x + 49. What is x?
  13. 13.I think of a number, multiply it by 2 and then add 9. The answer is 63. What is my number?
  14. 14.Solve for x: 3(x + 1) = 2x + 4. What is x?
  15. 15.5 × ? − 1 = 89
  16. 16.I think of a number, multiply it by 5 and then take away 7. The answer is 43. What is my number?
  17. 17.I think of a number, multiply it by 9 and then take away 9. The answer is 216. What is my number?
  18. 18.I think of a number, multiply it by 2 and then take away 27. The answer is 21. What is my number?
  19. 19.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  20. 20.9 × ? − 29 = 34
  21. 21.5 × ? + 12 = 22
  22. 22.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  23. 23.Rohan has 26 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  24. 24.6 × ? + 22 = 82
  25. 25.2 × ? + 18 = 28
  26. 26.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  27. 27.Solve for x: 4(x + 5) = x + 65. What is x?
  28. 28.9 × ? + 27 = 81
  29. 29.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 3 and then add 4. The answer is 70. What is my number?
  31. 31.A pen costs ₹15 more than a pencil. 3 pens and 4 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  33. 33.Kavya has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  34. 34.Pooja has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  35. 35.Karan has 26 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  37. 37.Rohan has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 8(x + 6) = 6x + 54. What is x?
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 7 and then add 3. The answer is 17. What is my number?

Answer key

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

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