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 ₹13 more than a pencil. 3 pens and 2 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
- 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
- 3.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
- 4.Nisha has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
- 5.I think of a number, multiply it by 5 and then add 10. The answer is 135. What is my number?
- 6.I think of a number, multiply it by 4 and then take away 32. The answer is 8. What is my number?
- 7.I think of a number, multiply it by 8 and then take away 39. The answer is 129. What is my number?
- 8.I think of a number, multiply it by 6 and then take away 32. The answer is 130. What is my number?
- 9.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
- 10.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
- 11.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
- 12.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
- 13.A pen costs ₹15 more than a pencil. 3 pens and 5 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
- 14.7 × ? − 30 = 131
- 15.Solve for x: 5(x + 4) = 4x + 24. What is x?
- 16.A pen costs ₹3 more than a pencil. 5 pens and 8 pencils cost ₹262 in all. What does one pencil cost (in ₹)?
- 17.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
- 18.I think of a number, multiply it by 3 and then add 20. The answer is 74. What is my number?
- 19.Solve for x: 5(x + 4) = x + 40. What is x?
- 20.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
- 21.I think of a number, multiply it by 3 and then add 4. The answer is 52. What is my number?
- 22.Solve for x: 5(x + 8) = 2x + 49. What is x?
- 23.The length of a rectangle is 11 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
- 24.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
- 25.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
- 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
- 27.I think of a number, multiply it by 6 and then add 3. The answer is 153. What is my number?
- 28.Farhan has 24 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
- 29.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
- 30.I think of a number, multiply it by 4 and then take away 13. The answer is 47. What is my number?
- 31.A pen costs ₹10 more than a pencil. 3 pens and 6 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
- 32.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
- 33.I think of a number, multiply it by 2 and then add 6. The answer is 22. What is my number?
- 34.Solve for x: 5(x + 9) = 3x + 71. What is x?
- 35.Solve for x: 6(x + 5) = 4x + 38. What is x?
- 36.I think of a number, multiply it by 2 and then take away 9. The answer is 37. What is my number?
- 37.I think of a number, multiply it by 6 and then add 38. The answer is 110. What is my number?
- 38.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
- 39.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
- 40.Solve for x: 8(x + 9) = 6x + 98. What is x?
Answer key
- 18
- 18
- 16
- 1
- 25
- 10
- 21
- 27
- 3
- 1
- 4
- 12
- 3
- 23
- 4
- 19
- 3
- 18
- 5
- 9
- 16
- 3
- 29
- 6
- 5
- 14
- 25
- 7
- 17
- 15
- 9
- 15
- 8
- 13
- 4
- 23
- 12
- 8
- 10
- 13
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