Equation Word Problems Worksheet
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.I think of a number, multiply it by 9 and then take away 30. The answer is 168. What is my number?
- 2.Solve for x: 9(x + 8) = x + 80. What is x?
- 3.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
- 4.Rohan has 28 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
- 5.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
- 6.Solve for x: 7(x + 5) = 4x + 59. What is x?
- 7.A pen costs ₹3 more than a pencil. 4 pens and 6 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
- 8.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
- 9.7 × ? − 6 = 85
- 10.Aarav has 30 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
- 11.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹227 in all. What does one pencil cost (in ₹)?
- 12.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
- 13.Kabir has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
- 14.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
- 15.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
- 16.Solve for x: 6(x + 9) = x + 84. What is x?
- 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
- 18.I think of a number, multiply it by 6 and then add 38. The answer is 86. What is my number?
- 19.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
- 20.Solve for x: 3(x + 8) = 2x + 38. What is x?
- 21.2 × ? + 27 = 75
- 22.A pen costs ₹4 more than a pencil. 5 pens and 5 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
- 23.Rahul has 23 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
- 24.I think of a number, multiply it by 2 and then take away 29. The answer is 13. What is my number?
- 25.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
- 26.I think of a number, multiply it by 8 and then add 8. The answer is 240. What is my number?
- 27.I think of a number, multiply it by 3 and then add 11. The answer is 29. What is my number?
- 28.Solve for x: 7(x + 1) = 4x + 55. What is x?
- 29.I think of a number, multiply it by 9 and then add 24. The answer is 105. What is my number?
- 30.Farhan has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
- 31.I think of a number, multiply it by 2 and then take away 34. The answer is 16. What is my number?
- 32.Solve for x: 7(x + 7) = 6x + 52. What is x?
- 33.Solve for x: 6(x + 1) = 5x + 23. What is x?
- 34.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
- 35.Solve for x: 9(x + 6) = 3x + 60. What is x?
- 36.Solve for x: 8(x + 5) = 6x + 60. What is x?
- 37.A pen costs ₹4 more than a pencil. 3 pens and 7 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
- 38.Nisha has 25 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
- 39.I think of a number, multiply it by 9 and then add 3. The answer is 255. What is my number?
- 40.11 × ? + 30 = 52
Answer key
- 22
- 1
- 18
- 1
- 23
- 8
- 7
- 4
- 13
- 24
- 17
- 20
- 7
- 27
- 18
- 6
- 4
- 8
- 7
- 14
- 24
- 5
- 10
- 21
- 10
- 29
- 6
- 16
- 9
- 20
- 25
- 3
- 17
- 1
- 1
- 10
- 17
- 5
- 28
- 2
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