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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 828 · 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.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 4 and then add 2. The answer is 14. What is my number?
  3. 3.2 × ? + 20 = 28
  4. 4.2 × ? + 30 = 66
  5. 5.Sneha has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 7(x + 1) = 2x + 92. What is x?
  7. 7.I think of a number, multiply it by 9 and then add 3. The answer is 120. What is my number?
  8. 8.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 8(x + 8) = 5x + 76. What is x?
  11. 11.I think of a number, multiply it by 3 and then add 8. The answer is 38. What is my number?
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 7 and then add 27. The answer is 188. What is my number?
  14. 14.A pen costs ₹13 more than a pencil. 4 pens and 3 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 5 and then add 23. The answer is 138. What is my number?
  16. 16.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  17. 17.Rahul has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  18. 18.8 × ? + 29 = 125
  19. 19.Isha has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 6 and then take away 1. The answer is 155. What is my number?
  21. 21.I think of a number, multiply it by 4 and then add 12. The answer is 36. What is my number?
  22. 22.I think of a number, multiply it by 7 and then add 5. The answer is 194. What is my number?
  23. 23.Solve for x: 5(x + 7) = 4x + 38. What is x?
  24. 24.I think of a number, multiply it by 5 and then add 16. The answer is 131. What is my number?
  25. 25.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  26. 26.Rohan has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  28. 28.3 × ? − 23 = 1
  29. 29.9 × ? + 2 = 146
  30. 30.Solve for x: 3(x + 3) = 2x + 19. What is x?
  31. 31.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  33. 33.Karan has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  34. 34.7 × ? − 2 = 110
  35. 35.I think of a number, multiply it by 8 and then add 25. The answer is 73. What is my number?
  36. 36.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 7 and then add 18. The answer is 151. What is my number?
  38. 38.A pen costs ₹8 more than a pencil. 4 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  39. 39.8 × ? − 30 = 58
  40. 40.10 × ? + 27 = 147

Answer key

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

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