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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 761 · 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. 1.4 × ? + 25 = 49
  2. 2.Zoya has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 7 and then take away 16. The answer is 180. What is my number?
  4. 4.Solve for x: 5(x + 6) = x + 110. What is x?
  5. 5.Solve for x: 8(x + 9) = 2x + 126. What is x?
  6. 6.2 × ? + 20 = 28
  7. 7.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 7(x + 1) = x + 31. What is x?
  9. 9.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹2 more than a pencil. 5 pens and 4 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹10 more than a pencil. 5 pens and 5 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  12. 12.Dev has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  13. 13.5 × ? − 29 = 21
  14. 14.11 × ? − 29 = 26
  15. 15.Solve for x: 9(x + 8) = 6x + 78. What is x?
  16. 16.I think of a number, multiply it by 6 and then add 10. The answer is 70. What is my number?
  17. 17.9 × ? + 12 = 93
  18. 18.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  19. 19.3 × ? − 7 = 32
  20. 20.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹220 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 8 and then add 12. The answer is 84. What is my number?
  24. 24.4 × ? − 4 = 8
  25. 25.12 × ? + 11 = 155
  26. 26.2 × ? + 4 = 30
  27. 27.8 × ? + 12 = 68
  28. 28.Solve for x: 8(x + 1) = 5x + 11. What is x?
  29. 29.I think of a number, multiply it by 2 and then take away 13. The answer is 29. What is my number?
  30. 30.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 7(x + 1) = 6x + 14. What is x?
  33. 33.Ishaan has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 5 and then take away 2. The answer is 138. What is my number?
  35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  36. 36.2 × ? − 12 = 34
  37. 37.I think of a number, multiply it by 7 and then add 8. The answer is 43. What is my number?
  38. 38.Karan has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 5 and then add 40. The answer is 135. What is my number?
  40. 40.Solve for x: 7(x + 1) = 3x + 19. What is x?

Answer key

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

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