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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 862 · 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 ₹10 more than a pencil. 6 pens and 2 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  3. 3.Solve for x: 6(x + 5) = 2x + 90. What is x?
  4. 4.Solve for x: 5(x + 9) = 2x + 87. What is x?
  5. 5.The length of a rectangle is 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 5 and then take away 21. The answer is 119. What is my number?
  7. 7.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  8. 8.Kavya has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  9. 9.10 × ? − 23 = 137
  10. 10.4 × ? + 24 = 36
  11. 11.I think of a number, multiply it by 3 and then add 16. The answer is 28. What is my number?
  12. 12.I think of a number, multiply it by 3 and then take away 38. The answer is 1. What is my number?
  13. 13.8 × ? + 11 = 131
  14. 14.I think of a number, multiply it by 8 and then add 7. The answer is 231. What is my number?
  15. 15.I think of a number, multiply it by 6 and then add 22. The answer is 94. What is my number?
  16. 16.4 × ? + 30 = 54
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  18. 18.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  19. 19.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 7(x + 1) = 2x + 17. What is x?
  21. 21.A pen costs ₹6 more than a pencil. 4 pens and 7 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹37 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 4(x + 7) = 3x + 36. What is x?
  24. 24.I think of a number, multiply it by 7 and then add 13. The answer is 132. What is my number?
  25. 25.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  26. 26.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 4 and then add 9. The answer is 65. What is my number?
  28. 28.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  30. 30.Solve for x: 7(x + 4) = 3x + 56. What is x?
  31. 31.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 2 and then add 18. The answer is 36. What is my number?
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  34. 34.Solve for x: 4(x + 6) = 2x + 30. What is x?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 8 and then add 30. The answer is 78. What is my number?
  37. 37.I think of a number, multiply it by 5 and then add 26. The answer is 96. What is my number?
  38. 38.A pen costs ₹13 more than a pencil. 6 pens and 5 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 7 and then add 16. The answer is 226. What is my number?
  40. 40.Solve for x: 7(x + 9) = 5x + 99. What is x?

Answer key

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

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