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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 470 · 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. 1.9 × ? − 5 = 211
  2. 2.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  3. 3.Priya has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 6(x + 7) = x + 137. What is x?
  5. 5.I think of a number, multiply it by 4 and then take away 26. The answer is 58. What is my number?
  6. 6.Solve for x: 4(x + 6) = x + 81. What is x?
  7. 7.10 × ? + 9 = 249
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  10. 10.8 × ? + 22 = 102
  11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 8 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  13. 13.Solve for x: 4(x + 2) = 3x + 10. What is x?
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 7 and then add 23. The answer is 219. What is my number?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  17. 17.A pen costs ₹7 more than a pencil. 6 pens and 4 pencils cost ₹242 in all. What does one pencil cost (in ₹)?
  18. 18.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 3(x + 7) = 2x + 25. What is x?
  20. 20.Solve for x: 4(x + 4) = 3x + 22. What is x?
  21. 21.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  23. 23.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 9(x + 2) = 2x + 144. What is x?
  25. 25.A pen costs ₹10 more than a pencil. 6 pens and 6 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  27. 27.6 × ? − 7 = 29
  28. 28.3 × ? − 7 = 44
  29. 29.8 × ? + 5 = 93
  30. 30.I think of a number, multiply it by 8 and then take away 1. The answer is 95. What is my number?
  31. 31.Priya has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 3(x + 2) = 2x + 21. What is x?
  33. 33.The length of a rectangle is 6 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 5 and then take away 34. The answer is 41. What is my number?
  35. 35.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  36. 36.9 × ? − 20 = 205
  37. 37.Kavya has 28 coins, all ₹5 and ₹2 coins, worth ₹128 in all. How many ₹5 coins are there?
  38. 38.8 × ? − 23 = 145
  39. 39.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 8 and then add 16. The answer is 112. What is my number?

Answer key

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

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