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 ₹14 more than a pencil. 2 pens and 6 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
- 2.I think of a number, multiply it by 2 and then take away 18. The answer is 12. What is my number?
- 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
- 4.I think of a number, multiply it by 5 and then take away 12. The answer is 73. What is my number?
- 5.Ishaan has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
- 6.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
- 7.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
- 8.Karan has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
- 9.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
- 10.A pen costs ₹12 more than a pencil. 2 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
- 11.12 × ? + 3 = 147
- 12.Solve for x: 4(x + 4) = x + 67. What is x?
- 13.I think of a number, multiply it by 6 and then take away 36. The answer is 144. What is my number?
- 14.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
- 15.Aditya has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
- 16.4 × ? + 8 = 16
- 17.I think of a number, multiply it by 8 and then take away 9. The answer is 71. What is my number?
- 18.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹263 in all. What does one pencil cost (in ₹)?
- 19.I think of a number, multiply it by 8 and then add 16. The answer is 248. What is my number?
- 20.Aditya has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
- 21.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
- 22.Solve for x: 6(x + 9) = 2x + 118. What is x?
- 23.10 × ? + 27 = 67
- 24.Saanvi has 27 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
- 25.I think of a number, multiply it by 8 and then take away 31. The answer is 137. What is my number?
- 26.I think of a number, multiply it by 3 and then add 39. The answer is 51. What is my number?
- 27.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
- 28.I think of a number, multiply it by 5 and then take away 2. The answer is 68. What is my number?
- 29.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
- 30.I think of a number, multiply it by 2 and then take away 8. The answer is 50. What is my number?
- 31.I think of a number, multiply it by 6 and then add 7. The answer is 97. What is my number?
- 32.A pen costs ₹15 more than a pencil. 5 pens and 4 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
- 33.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
- 34.Solve for x: 4(x + 3) = 3x + 21. What is x?
- 35.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
- 36.A pen costs ₹13 more than a pencil. 6 pens and 7 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
- 37.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
- 38.I think of a number, multiply it by 6 and then add 19. The answer is 175. What is my number?
- 39.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
- 40.A pen costs ₹3 more than a pencil. 5 pens and 8 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
Answer key
- 11
- 15
- 13
- 17
- 1
- 5
- 7
- 4
- 9
- 13
- 12
- 17
- 30
- 7
- 2
- 2
- 10
- 19
- 29
- 8
- 11
- 16
- 4
- 12
- 21
- 4
- 7
- 14
- 17
- 29
- 15
- 7
- 17
- 9
- 2
- 12
- 5
- 26
- 25
- 11
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