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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 751 · 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. 1.10 × ? + 18 = 98
  2. 2.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  3. 3.8 × ? − 11 = 157
  4. 4.Solve for x: 7(x + 1) = x + 61. What is x?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  6. 6.Solve for x: 9(x + 8) = 5x + 92. What is x?
  7. 7.A pen costs ₹9 more than a pencil. 5 pens and 6 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  8. 8.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  9. 9.5 × ? + 27 = 42
  10. 10.2 × ? − 16 = 26
  11. 11.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  12. 12.7 × ? − 12 = 156
  13. 13.Pooja has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 8 and then take away 16. The answer is 32. What is my number?
  16. 16.Vivaan has 25 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  17. 17.7 × ? + 19 = 54
  18. 18.Solve for x: 7(x + 2) = 4x + 17. What is x?
  19. 19.6 × ? − 11 = 61
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  21. 21.Solve for x: 6(x + 9) = x + 69. What is x?
  22. 22.I think of a number, multiply it by 8 and then take away 10. The answer is 166. What is my number?
  23. 23.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  24. 24.Ananya has 26 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  25. 25.5 × ? − 5 = 90
  26. 26.Solve for x: 7(x + 5) = 4x + 77. What is x?
  27. 27.I think of a number, multiply it by 7 and then add 31. The answer is 101. What is my number?
  28. 28.10 × ? − 2 = 18
  29. 29.I think of a number, multiply it by 8 and then take away 7. The answer is 129. What is my number?
  30. 30.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 6 and then add 40. The answer is 136. What is my number?
  32. 32.A pen costs ₹9 more than a pencil. 6 pens and 7 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 8(x + 2) = x + 128. What is x?
  34. 34.3 × ? − 9 = 27
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  38. 38.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 3 and then take away 38. The answer is 1. What is my number?
  40. 40.3 × ? + 22 = 37

Answer key

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

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