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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 993 · 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 take away 5. The answer is 103. What is my number?
  2. 2.3 × ? − 7 = 29
  3. 3.5 × ? + 28 = 48
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 5 and then take away 7. The answer is 23. What is my number?
  6. 6.I think of a number, multiply it by 2 and then take away 15. The answer is 17. What is my number?
  7. 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  8. 8.3 × ? − 26 = 16
  9. 9.The length of a rectangle is 14 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  10. 10.Solve for x: 6(x + 3) = 3x + 48. What is x?
  11. 11.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹235 in all. What does one pencil cost (in ₹)?
  12. 12.7 × ? + 20 = 48
  13. 13.4 × ? − 18 = 10
  14. 14.Ananya has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 4(x + 1) = x + 7. What is x?
  16. 16.6 × ? + 2 = 32
  17. 17.6 × ? − 14 = 82
  18. 18.3 × ? − 29 = 25
  19. 19.I think of a number, multiply it by 9 and then add 26. The answer is 179. What is my number?
  20. 20.11 × ? − 4 = 227
  21. 21.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  22. 22.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 2 and then take away 2. The answer is 36. What is my number?
  24. 24.Aditya has 30 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  26. 26.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 4(x + 3) = 2x + 40. What is x?
  28. 28.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 4 and then add 5. The answer is 53. What is my number?
  30. 30.I think of a number, multiply it by 3 and then add 1. The answer is 19. What is my number?
  31. 31.2 × ? + 18 = 32
  32. 32.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 3(x + 4) = 2x + 14. What is x?
  34. 34.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  35. 35.Manav has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹6 more than a pencil. 5 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 8 and then take away 39. The answer is 105. What is my number?
  39. 39.Solve for x: 5(x + 7) = 2x + 92. What is x?
  40. 40.I think of a number, multiply it by 3 and then add 1. The answer is 22. What is my number?

Answer key

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

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