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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 154 · 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. 1.11 × ? − 28 = 236
  2. 2.I think of a number, multiply it by 2 and then add 4. The answer is 28. What is my number?
  3. 3.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  4. 4.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 9 and then take away 37. The answer is 17. What is my number?
  6. 6.Solve for x: 7(x + 7) = x + 121. What is x?
  7. 7.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹225 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  9. 9.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  10. 10.3 × ? + 21 = 30
  11. 11.I think of a number, multiply it by 9 and then add 4. The answer is 238. What is my number?
  12. 12.4 × ? + 27 = 43
  13. 13.I think of a number, multiply it by 5 and then add 13. The answer is 93. What is my number?
  14. 14.I think of a number, multiply it by 5 and then add 8. The answer is 128. What is my number?
  15. 15.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 3 and then add 29. The answer is 68. What is my number?
  18. 18.Solve for x: 9(x + 1) = 7x + 47. What is x?
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  20. 20.Meera has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 9 and then take away 10. The answer is 179. What is my number?
  23. 23.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  24. 24.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 4(x + 2) = x + 20. What is x?
  26. 26.The length of a rectangle is 15 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  28. 28.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  29. 29.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 3(x + 8) = 2x + 40. What is x?
  31. 31.7 × ? + 19 = 54
  32. 32.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  33. 33.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹199 in all. What does one pencil cost (in ₹)?
  34. 34.Rahul has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
  36. 36.Rahul has 29 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹11 more than a pencil. 6 pens and 7 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 6 and then add 29. The answer is 155. What is my number?
  39. 39.7 × ? + 2 = 114
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?

Answer key

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

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