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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 450 · 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. 1.8 × ? + 3 = 51
  2. 2.I think of a number, multiply it by 5 and then take away 3. The answer is 122. What is my number?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  4. 4.Solve for x: 7(x + 8) = 3x + 128. What is x?
  5. 5.6 × ? − 19 = 119
  6. 6.I think of a number, multiply it by 5 and then take away 29. The answer is 66. What is my number?
  7. 7.Solve for x: 4(x + 3) = 3x + 18. What is x?
  8. 8.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  10. 10.9 × ? − 7 = 11
  11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 9 and then take away 7. The answer is 38. What is my number?
  13. 13.I think of a number, multiply it by 9 and then take away 12. The answer is 186. What is my number?
  14. 14.I think of a number, multiply it by 9 and then add 20. The answer is 146. What is my number?
  15. 15.2 × ? − 7 = 7
  16. 16.I think of a number, multiply it by 4 and then add 35. The answer is 119. What is my number?
  17. 17.A pen costs ₹10 more than a pencil. 5 pens and 6 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  18. 18.Isha has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  19. 19.12 × ? + 17 = 137
  20. 20.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  21. 21.Ishaan has 27 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  22. 22.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  23. 23.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  24. 24.Solve for x: 7(x + 2) = 4x + 17. What is x?
  25. 25.Solve for x: 3(x + 6) = x + 58. What is x?
  26. 26.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹239 in all. What does one pencil cost (in ₹)?
  27. 27.5 × ? − 14 = 61
  28. 28.Solve for x: 7(x + 4) = 4x + 88. What is x?
  29. 29.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 2 and then take away 21. The answer is 35. What is my number?
  31. 31.I think of a number, multiply it by 7 and then take away 39. The answer is 143. What is my number?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  33. 33.12 × ? + 24 = 240
  34. 34.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  35. 35.A pen costs ₹4 more than a pencil. 3 pens and 7 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 8 and then take away 40. The answer is 168. What is my number?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  38. 38.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 5 and then add 10. The answer is 40. What is my number?
  40. 40.The length of a rectangle is 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?

Answer key

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

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