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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 67 · 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 2 and then add 9. The answer is 17. What is my number?
  2. 2.11 × ? + 23 = 111
  3. 3.Solve for x: 9(x + 4) = 5x + 56. What is x?
  4. 4.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  5. 5.Meera has 18 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  6. 6.4 × ? − 19 = 61
  7. 7.6 × ? + 8 = 146
  8. 8.Solve for x: 3(x + 8) = x + 30. What is x?
  9. 9.I think of a number, multiply it by 7 and then take away 38. The answer is 67. What is my number?
  10. 10.I think of a number, multiply it by 4 and then take away 2. The answer is 50. What is my number?
  11. 11.Karan has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  12. 12.2 × ? + 15 = 25
  13. 13.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 7 and then take away 19. The answer is 149. What is my number?
  15. 15.6 × ? − 3 = 9
  16. 16.A pen costs ₹2 more than a pencil. 3 pens and 5 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  19. 19.11 × ? + 4 = 114
  20. 20.11 × ? − 15 = 51
  21. 21.2 × ? + 26 = 32
  22. 22.I think of a number, multiply it by 2 and then take away 3. The answer is 25. What is my number?
  23. 23.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 9 and then add 26. The answer is 278. What is my number?
  25. 25.Rohan has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  26. 26.2 × ? + 28 = 48
  27. 27.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 8(x + 3) = x + 157. What is x?
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  30. 30.Solve for x: 6(x + 5) = 2x + 98. What is x?
  31. 31.The length of a rectangle is 7 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  32. 32.9 × ? + 18 = 144
  33. 33.A pen costs ₹14 more than a pencil. 3 pens and 4 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  34. 34.7 × ? − 10 = 123
  35. 35.Solve for x: 4(x + 7) = x + 58. What is x?
  36. 36.I think of a number, multiply it by 7 and then add 15. The answer is 71. What is my number?
  37. 37.Solve for x: 7(x + 3) = 6x + 37. What is x?
  38. 38.Solve for x: 3(x + 1) = x + 43. What is x?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  40. 40.A pen costs ₹8 more than a pencil. 6 pens and 4 pencils cost ₹248 in all. What does one pencil cost (in ₹)?

Answer key

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

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