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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 270 · 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. 1.5 × ? − 6 = 9
  2. 2.3 × ? + 17 = 53
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  4. 4.Sneha has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  5. 5.4 × ? − 14 = 86
  6. 6.8 × ? − 14 = 106
  7. 7.Solve for x: 4(x + 4) = 2x + 48. What is x?
  8. 8.Solve for x: 8(x + 1) = x + 113. What is x?
  9. 9.5 × ? + 8 = 78
  10. 10.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 5(x + 7) = x + 95. What is x?
  12. 12.I think of a number, multiply it by 6 and then take away 2. The answer is 40. What is my number?
  13. 13.8 × ? − 1 = 63
  14. 14.Nisha has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  16. 16.8 × ? − 3 = 21
  17. 17.Solve for x: 9(x + 6) = 3x + 84. What is x?
  18. 18.4 × ? − 4 = 68
  19. 19.10 × ? − 18 = 112
  20. 20.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  21. 21.Nisha has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 8(x + 5) = 6x + 78. What is x?
  23. 23.I think of a number, multiply it by 9 and then add 38. The answer is 74. What is my number?
  24. 24.12 × ? + 28 = 184
  25. 25.Solve for x: 5(x + 1) = 3x + 7. What is x?
  26. 26.12 × ? − 16 = 140
  27. 27.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  28. 28.3 × ? + 9 = 24
  29. 29.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹233 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  31. 31.Solve for x: 6(x + 8) = 3x + 69. What is x?
  32. 32.Solve for x: 6(x + 6) = 3x + 87. What is x?
  33. 33.Solve for x: 8(x + 1) = 2x + 38. What is x?
  34. 34.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  36. 36.2 × ? + 17 = 31
  37. 37.Arjun has 30 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  38. 38.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 7(x + 5) = 6x + 38. What is x?
  40. 40.Nisha has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?

Answer key

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

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