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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 616 · 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: 9(x + 4) = 4x + 56. What is x?
  2. 2.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  3. 3.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  6. 6.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 6 and then take away 21. The answer is 9. What is my number?
  8. 8.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 8(x + 1) = 2x + 26. What is x?
  10. 10.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 2 and then add 26. The answer is 54. What is my number?
  12. 12.I think of a number, multiply it by 8 and then add 8. The answer is 48. What is my number?
  13. 13.Solve for x: 9(x + 8) = x + 80. What is x?
  14. 14.Solve for x: 8(x + 3) = 2x + 78. What is x?
  15. 15.Kabir has 26 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 5 and then take away 19. The answer is 131. What is my number?
  17. 17.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  18. 18.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  19. 19.Pooja has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  20. 20.8 × ? + 8 = 128
  21. 21.5 × ? − 30 = 85
  22. 22.10 × ? − 28 = 32
  23. 23.6 × ? − 9 = 45
  24. 24.Vivaan has 28 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 9(x + 1) = 2x + 93. What is x?
  26. 26.2 × ? + 23 = 45
  27. 27.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  28. 28.Solve for x: 4(x + 4) = 2x + 32. What is x?
  29. 29.8 × ? − 5 = 147
  30. 30.Sneha has 28 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 4 and then take away 15. The answer is 5. What is my number?
  32. 32.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  33. 33.Solve for x: 5(x + 4) = 3x + 38. What is x?
  34. 34.10 × ? − 4 = 76
  35. 35.Solve for x: 8(x + 4) = 3x + 107. What is x?
  36. 36.12 × ? + 21 = 321
  37. 37.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  39. 39.4 × ? + 30 = 90
  40. 40.I think of a number, multiply it by 7 and then take away 29. The answer is 104. What is my number?

Answer key

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

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