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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 660 · 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 4 and then add 26. The answer is 126. What is my number?
  2. 2.Meera has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  3. 3.11 × ? − 16 = 28
  4. 4.I think of a number, multiply it by 4 and then add 23. The answer is 75. What is my number?
  5. 5.Solve for x: 8(x + 6) = x + 97. What is x?
  6. 6.2 × ? + 1 = 39
  7. 7.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹169 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 7 and then add 25. The answer is 74. What is my number?
  11. 11.I think of a number, multiply it by 7 and then take away 5. The answer is 72. What is my number?
  12. 12.A pen costs ₹13 more than a pencil. 2 pens and 5 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  14. 14.4 × ? + 10 = 34
  15. 15.I think of a number, multiply it by 8 and then add 11. The answer is 147. What is my number?
  16. 16.I think of a number, multiply it by 4 and then add 37. The answer is 93. What is my number?
  17. 17.9 × ? + 8 = 89
  18. 18.I think of a number, multiply it by 2 and then add 21. The answer is 61. What is my number?
  19. 19.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  20. 20.Rahul has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 7 and then add 9. The answer is 65. What is my number?
  22. 22.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 6 and then take away 3. The answer is 57. What is my number?
  24. 24.Diya has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  25. 25.Kavya has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  26. 26.8 × ? + 4 = 68
  27. 27.11 × ? + 26 = 257
  28. 28.Solve for x: 5(x + 8) = x + 84. What is x?
  29. 29.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  30. 30.Pooja has 29 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 9 and then add 22. The answer is 229. What is my number?
  32. 32.I think of a number, multiply it by 4 and then add 18. The answer is 94. What is my number?
  33. 33.I think of a number, multiply it by 4 and then add 14. The answer is 114. What is my number?
  34. 34.Diya has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  35. 35.Zoya has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 6(x + 8) = 2x + 68. What is x?
  37. 37.2 × ? − 5 = 13
  38. 38.I think of a number, multiply it by 2 and then take away 29. The answer is 21. What is my number?
  39. 39.A pen costs ₹11 more than a pencil. 3 pens and 2 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  40. 40.7 × ? − 29 = 27

Answer key

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

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