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.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
- 2.Solve for x: 7(x + 8) = 5x + 92. What is x?
- 3.4 × ? + 5 = 45
- 4.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
- 5.5 × ? − 5 = 110
- 6.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
- 7.I think of a number, multiply it by 5 and then add 6. The answer is 71. What is my number?
- 8.6 × ? + 15 = 87
- 9.11 × ? − 26 = 73
- 10.Solve for x: 5(x + 9) = 2x + 81. What is x?
- 11.Ananya has 29 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
- 12.12 × ? + 22 = 58
- 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
- 14.I think of a number, multiply it by 3 and then add 4. The answer is 31. What is my number?
- 15.I think of a number, multiply it by 2 and then add 19. The answer is 35. What is my number?
- 16.Solve for x: 4(x + 8) = 2x + 58. What is x?
- 17.Solve for x: 3(x + 1) = 2x + 9. What is x?
- 18.7 × ? + 1 = 106
- 19.Solve for x: 5(x + 3) = 3x + 43. What is x?
- 20.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
- 21.I think of a number, multiply it by 5 and then add 38. The answer is 88. What is my number?
- 22.3 × ? + 29 = 98
- 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
- 24.5 × ? − 27 = 28
- 25.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
- 26.Solve for x: 4(x + 3) = 3x + 23. What is x?
- 27.I think of a number, multiply it by 5 and then add 33. The answer is 183. What is my number?
- 28.9 × ? + 8 = 215
- 29.Nisha has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
- 30.I think of a number, multiply it by 2 and then take away 19. The answer is 1. What is my number?
- 31.Pooja has 27 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
- 32.I think of a number, multiply it by 7 and then take away 22. The answer is 139. What is my number?
- 33.Solve for x: 3(x + 8) = x + 64. What is x?
- 34.10 × ? − 5 = 35
- 35.Isha has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
- 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
- 37.I think of a number, multiply it by 4 and then take away 22. The answer is 10. What is my number?
- 38.7 × ? + 21 = 84
- 39.I think of a number, multiply it by 5 and then add 23. The answer is 88. What is my number?
- 40.I think of a number, multiply it by 2 and then add 40. The answer is 46. What is my number?
Answer key
- 7
- 18
- 10
- 9
- 23
- 10
- 13
- 12
- 9
- 12
- 2
- 3
- 30
- 9
- 8
- 13
- 6
- 15
- 14
- 3
- 10
- 23
- 20
- 11
- 16
- 11
- 30
- 23
- 8
- 10
- 17
- 23
- 20
- 4
- 25
- 15
- 8
- 9
- 13
- 3
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