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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 285 · 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. 1.8 × ? − 30 = 90
  2. 2.A pen costs ₹15 more than a pencil. 4 pens and 7 pencils cost ₹269 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 7 and then add 9. The answer is 86. What is my number?
  4. 4.Vivaan has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  5. 5.5 × ? − 7 = 118
  6. 6.Solve for x: 6(x + 4) = x + 54. What is x?
  7. 7.Solve for x: 5(x + 3) = 4x + 25. What is x?
  8. 8.Sneha has 20 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 8 and then add 7. The answer is 143. What is my number?
  10. 10.Saanvi has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 4 and then take away 12. The answer is 92. What is my number?
  14. 14.I think of a number, multiply it by 2 and then add 12. The answer is 32. What is my number?
  15. 15.4 × ? − 9 = 23
  16. 16.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  17. 17.Solve for x: 8(x + 9) = 7x + 85. What is x?
  18. 18.I think of a number, multiply it by 7 and then add 19. The answer is 110. What is my number?
  19. 19.I think of a number, multiply it by 5 and then add 26. The answer is 156. What is my number?
  20. 20.I think of a number, multiply it by 5 and then take away 4. The answer is 146. What is my number?
  21. 21.12 × ? + 9 = 177
  22. 22.I think of a number, multiply it by 2 and then add 18. The answer is 48. What is my number?
  23. 23.Kabir has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  24. 24.4 × ? + 30 = 62
  25. 25.I think of a number, multiply it by 5 and then take away 12. The answer is 58. What is my number?
  26. 26.Kavya has 22 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  28. 28.Nisha has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  29. 29.Vivaan has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹6 more than a pencil. 2 pens and 6 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 3(x + 4) = x + 14. What is x?
  32. 32.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  33. 33.10 × ? − 19 = 131
  34. 34.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  36. 36.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 6(x + 6) = 3x + 48. What is x?
  38. 38.Solve for x: 9(x + 2) = 4x + 43. What is x?
  39. 39.Solve for x: 8(x + 9) = 2x + 132. What is x?
  40. 40.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹152 in all. What does one pencil cost (in ₹)?

Answer key

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

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