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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 723 · 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: 3(x + 3) = 2x + 23. What is x?
  2. 2.2 × ? − 1 = 29
  3. 3.9 × ? + 6 = 213
  4. 4.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  5. 5.Manav has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 3(x + 4) = 2x + 32. What is x?
  7. 7.I think of a number, multiply it by 2 and then add 12. The answer is 66. What is my number?
  8. 8.I think of a number, multiply it by 5 and then add 16. The answer is 66. What is my number?
  9. 9.Solve for x: 5(x + 5) = 2x + 37. What is x?
  10. 10.Solve for x: 6(x + 3) = 3x + 72. What is x?
  11. 11.A pen costs ₹3 more than a pencil. 5 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  12. 12.Arjun has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  14. 14.10 × ? − 17 = 193
  15. 15.I think of a number, multiply it by 4 and then take away 17. The answer is 3. What is my number?
  16. 16.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  17. 17.Solve for x: 9(x + 1) = 2x + 37. What is x?
  18. 18.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 8(x + 1) = 7x + 10. What is x?
  20. 20.A pen costs ₹9 more than a pencil. 2 pens and 3 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹8 more than a pencil. 4 pens and 8 pencils cost ₹272 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 9 and then add 39. The answer is 102. What is my number?
  23. 23.3 × ? + 13 = 25
  24. 24.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹224 in all. What does one pencil cost (in ₹)?
  25. 25.10 × ? − 11 = 49
  26. 26.2 × ? − 18 = 26
  27. 27.The length of a rectangle is 8 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 13 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  30. 30.9 × ? + 29 = 209
  31. 31.Solve for x: 8(x + 9) = 2x + 174. What is x?
  32. 32.I think of a number, multiply it by 8 and then add 5. The answer is 125. What is my number?
  33. 33.I think of a number, multiply it by 9 and then add 16. The answer is 106. What is my number?
  34. 34.The length of a rectangle is 4 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 6 and then add 29. The answer is 191. What is my number?
  36. 36.Solve for x: 7(x + 2) = 5x + 16. What is x?
  37. 37.I think of a number, multiply it by 3 and then add 18. The answer is 33. What is my number?
  38. 38.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  39. 39.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 3(x + 6) = x + 46. What is x?

Answer key

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

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