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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 931 · 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.Solve for x: 8(x + 3) = 3x + 84. What is x?
  2. 2.I think of a number, multiply it by 3 and then add 23. The answer is 50. What is my number?
  3. 3.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 6(x + 8) = 5x + 57. What is x?
  6. 6.The length of a rectangle is 14 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  7. 7.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 8(x + 6) = 5x + 75. What is x?
  9. 9.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  11. 11.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  12. 12.7 × ? + 20 = 97
  13. 13.10 × ? + 1 = 121
  14. 14.Solve for x: 6(x + 4) = 2x + 40. What is x?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  16. 16.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  18. 18.9 × ? + 15 = 114
  19. 19.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 5(x + 9) = 3x + 47. What is x?
  21. 21.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 7(x + 3) = 3x + 101. What is x?
  23. 23.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  24. 24.4 × ? + 29 = 37
  25. 25.A pen costs ₹15 more than a pencil. 2 pens and 5 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 2 and then add 35. The answer is 91. What is my number?
  27. 27.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  28. 28.3 × ? + 7 = 37
  29. 29.8 × ? − 10 = 54
  30. 30.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  31. 31.2 × ? + 5 = 9
  32. 32.I think of a number, multiply it by 8 and then add 9. The answer is 81. What is my number?
  33. 33.3 × ? − 16 = 50
  34. 34.Diya has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  35. 35.Saanvi has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹6 more than a pencil. 3 pens and 8 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 4(x + 8) = x + 35. What is x?
  39. 39.I think of a number, multiply it by 5 and then take away 9. The answer is 76. What is my number?
  40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?

Answer key

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

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