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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 696 · 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. 1.3 × ? + 14 = 44
  2. 2.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  3. 3.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  4. 4.4 × ? + 30 = 86
  5. 5.I think of a number, multiply it by 3 and then add 27. The answer is 45. What is my number?
  6. 6.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  8. 8.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 8(x + 3) = 2x + 84. What is x?
  10. 10.Solve for x: 3(x + 1) = x + 43. What is x?
  11. 11.Tara has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  13. 13.Rohan has 28 coins, all ₹5 and ₹2 coins, worth ₹125 in all. How many ₹5 coins are there?
  14. 14.Tara has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  15. 15.8 × ? + 7 = 111
  16. 16.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 11 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  18. 18.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  19. 19.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹13 more than a pencil. 5 pens and 7 pencils cost ₹233 in all. What does one pencil cost (in ₹)?
  21. 21.Saanvi has 15 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  22. 22.4 × ? + 1 = 61
  23. 23.Solve for x: 8(x + 2) = x + 114. What is x?
  24. 24.6 × ? − 1 = 29
  25. 25.A pen costs ₹8 more than a pencil. 5 pens and 8 pencils cost ₹209 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  27. 27.Farhan has 30 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  28. 28.10 × ? − 2 = 198
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  30. 30.10 × ? + 15 = 85
  31. 31.Solve for x: 9(x + 9) = 6x + 108. What is x?
  32. 32.4 × ? − 18 = 66
  33. 33.Isha has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  34. 34.Vivaan has 21 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  35. 35.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 3 and then take away 5. The answer is 43. What is my number?
  39. 39.Solve for x: 6(x + 4) = 3x + 39. What is x?
  40. 40.The length of a rectangle is 8 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?

Answer key

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

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