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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 658 · 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 × ? + 3 = 58
  2. 2.4 × ? + 9 = 25
  3. 3.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  4. 4.11 × ? + 12 = 56
  5. 5.Dev has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 3(x + 6) = x + 26. What is x?
  7. 7.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 8(x + 7) = 5x + 101. What is x?
  9. 9.Dev has 30 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 4 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  12. 12.6 × ? + 1 = 13
  13. 13.I think of a number, multiply it by 6 and then add 33. The answer is 105. What is my number?
  14. 14.8 × ? + 15 = 151
  15. 15.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹6 more than a pencil. 6 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 3(x + 3) = x + 15. What is x?
  18. 18.A pen costs ₹7 more than a pencil. 5 pens and 3 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  19. 19.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  20. 20.Kavya has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 3 and then add 32. The answer is 53. What is my number?
  23. 23.A pen costs ₹11 more than a pencil. 5 pens and 2 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  25. 25.9 × ? − 21 = 177
  26. 26.Solve for x: 7(x + 5) = 3x + 51. What is x?
  27. 27.Tara has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  28. 28.5 × ? − 12 = 63
  29. 29.2 × ? + 19 = 57
  30. 30.I think of a number, multiply it by 2 and then add 40. The answer is 100. What is my number?
  31. 31.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  34. 34.Aarav has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 2 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  37. 37.Solve for x: 7(x + 7) = 5x + 71. What is x?
  38. 38.A pen costs ₹11 more than a pencil. 6 pens and 5 pencils cost ₹209 in all. What does one pencil cost (in ₹)?
  39. 39.6 × ? + 18 = 102
  40. 40.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?

Answer key

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

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