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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 912 · 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. 1.2 × ? − 26 = 24
  2. 2.11 × ? + 27 = 148
  3. 3.6 × ? + 21 = 81
  4. 4.Solve for x: 7(x + 4) = 4x + 67. What is x?
  5. 5.Saanvi has 21 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  7. 7.2 × ? + 23 = 29
  8. 8.The length of a rectangle is 7 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 9 and then take away 2. The answer is 232. What is my number?
  12. 12.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  14. 14.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  17. 17.Rohan has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  18. 18.12 × ? − 2 = 154
  19. 19.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  21. 21.6 × ? − 2 = 76
  22. 22.I think of a number, multiply it by 2 and then add 31. The answer is 37. What is my number?
  23. 23.4 × ? − 28 = 36
  24. 24.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 6 and then add 37. The answer is 103. What is my number?
  26. 26.I think of a number, multiply it by 8 and then take away 17. The answer is 119. What is my number?
  27. 27.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  29. 29.Zoya has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  30. 30.Kavya has 30 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 3 and then add 26. The answer is 86. What is my number?
  33. 33.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  36. 36.Solve for x: 5(x + 8) = x + 72. What is x?
  37. 37.9 × ? + 5 = 50
  38. 38.I think of a number, multiply it by 2 and then add 40. The answer is 76. What is my number?
  39. 39.A pen costs ₹5 more than a pencil. 3 pens and 2 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  40. 40.11 × ? + 12 = 111

Answer key

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

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