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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 818 · 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.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  2. 2.Solve for x: 6(x + 3) = 3x + 39. What is x?
  3. 3.Solve for x: 5(x + 7) = 2x + 41. What is x?
  4. 4.5 × ? + 9 = 124
  5. 5.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  7. 7.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  8. 8.5 × ? − 14 = 36
  9. 9.Farhan has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 6(x + 2) = 5x + 19. What is x?
  11. 11.I think of a number, multiply it by 8 and then take away 20. The answer is 156. What is my number?
  12. 12.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 4 and then take away 28. The answer is 28. What is my number?
  14. 14.I think of a number, multiply it by 6 and then take away 5. The answer is 85. What is my number?
  15. 15.I think of a number, multiply it by 4 and then add 2. The answer is 34. What is my number?
  16. 16.I think of a number, multiply it by 3 and then add 3. The answer is 39. What is my number?
  17. 17.Solve for x: 8(x + 2) = 3x + 81. What is x?
  18. 18.I think of a number, multiply it by 5 and then take away 2. The answer is 28. What is my number?
  19. 19.I think of a number, multiply it by 5 and then take away 9. The answer is 101. What is my number?
  20. 20.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 6(x + 4) = 4x + 50. What is x?
  23. 23.I think of a number, multiply it by 2 and then add 29. The answer is 83. What is my number?
  24. 24.Solve for x: 8(x + 5) = x + 166. What is x?
  25. 25.Farhan has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  26. 26.2 × ? + 9 = 33
  27. 27.I think of a number, multiply it by 9 and then take away 26. The answer is 55. What is my number?
  28. 28.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  29. 29.Solve for x: 7(x + 4) = x + 40. What is x?
  30. 30.Vivaan has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 3(x + 1) = x + 39. What is x?
  32. 32.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  33. 33.8 × ? − 14 = 34
  34. 34.Solve for x: 9(x + 2) = 6x + 42. What is x?
  35. 35.10 × ? + 8 = 188
  36. 36.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  37. 37.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  38. 38.12 × ? − 30 = 162
  39. 39.Saanvi has 29 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  40. 40.5 × ? − 11 = 39

Answer key

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

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