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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 710 · 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.I think of a number, multiply it by 6 and then add 40. The answer is 100. What is my number?
  2. 2.I think of a number, multiply it by 7 and then add 3. The answer is 213. What is my number?
  3. 3.Solve for x: 9(x + 7) = 5x + 79. What is x?
  4. 4.A pen costs ₹2 more than a pencil. 3 pens and 8 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 5(x + 2) = 4x + 27. What is x?
  7. 7.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  8. 8.10 × ? + 2 = 72
  9. 9.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 3 and then add 14. The answer is 29. What is my number?
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  13. 13.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  14. 14.Manav has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 7 and then add 37. The answer is 247. What is my number?
  16. 16.10 × ? + 14 = 104
  17. 17.Nisha has 27 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  19. 19.Solve for x: 5(x + 2) = x + 54. What is x?
  20. 20.I think of a number, multiply it by 6 and then add 35. The answer is 215. What is my number?
  21. 21.12 × ? − 8 = 256
  22. 22.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 9(x + 6) = 3x + 138. What is x?
  24. 24.Ishaan has 22 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 4 and then add 16. The answer is 108. What is my number?
  26. 26.A pen costs ₹10 more than a pencil. 6 pens and 8 pencils cost ₹256 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  28. 28.11 × ? − 7 = 70
  29. 29.I think of a number, multiply it by 6 and then add 14. The answer is 188. What is my number?
  30. 30.I think of a number, multiply it by 2 and then add 6. The answer is 34. What is my number?
  31. 31.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 7 and then take away 24. The answer is 109. What is my number?
  33. 33.I think of a number, multiply it by 6 and then take away 28. The answer is 26. What is my number?
  34. 34.Solve for x: 6(x + 4) = x + 34. What is x?
  35. 35.9 × ? − 26 = 172
  36. 36.I think of a number, multiply it by 5 and then add 32. The answer is 87. What is my number?
  37. 37.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  38. 38.6 × ? + 22 = 88
  39. 39.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  40. 40.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?

Answer key

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

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