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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 743 · 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. 1.6 × ? + 30 = 54
  2. 2.2 × ? + 20 = 36
  3. 3.Solve for x: 8(x + 7) = 4x + 68. What is x?
  4. 4.I think of a number, multiply it by 7 and then take away 18. The answer is 73. What is my number?
  5. 5.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  6. 6.2 × ? − 11 = 1
  7. 7.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 9 and then take away 26. The answer is 37. What is my number?
  9. 9.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  10. 10.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  12. 12.11 × ? + 12 = 56
  13. 13.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 5 and then take away 17. The answer is 13. What is my number?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  16. 16.8 × ? − 6 = 18
  17. 17.8 × ? + 20 = 180
  18. 18.A pen costs ₹13 more than a pencil. 5 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 7 and then add 4. The answer is 151. What is my number?
  20. 20.3 × ? + 22 = 73
  21. 21.Solve for x: 3(x + 6) = 2x + 26. What is x?
  22. 22.6 × ? + 11 = 125
  23. 23.Solve for x: 9(x + 1) = 8x + 14. What is x?
  24. 24.I think of a number, multiply it by 3 and then add 11. The answer is 32. What is my number?
  25. 25.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  26. 26.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 3(x + 6) = 2x + 24. What is x?
  28. 28.Solve for x: 5(x + 1) = 3x + 11. What is x?
  29. 29.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 15 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  32. 32.Solve for x: 6(x + 1) = 2x + 38. What is x?
  33. 33.Solve for x: 9(x + 4) = 2x + 106. What is x?
  34. 34.I think of a number, multiply it by 7 and then add 33. The answer is 82. What is my number?
  35. 35.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 9 and then take away 39. The answer is 24. What is my number?
  39. 39.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 7 and then add 33. The answer is 103. What is my number?

Answer key

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

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