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 ₹10 more than a pencil. 2 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
- 2.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
- 3.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
- 4.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
- 5.I think of a number, multiply it by 7 and then take away 2. The answer is 26. What is my number?
- 6.2 × ? − 21 = 1
- 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
- 8.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
- 9.Farhan has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
- 10.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
- 11.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
- 12.I think of a number, multiply it by 8 and then take away 19. The answer is 13. What is my number?
- 13.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
- 14.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
- 15.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
- 16.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
- 17.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
- 18.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
- 19.Zoya has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
- 20.Solve for x: 4(x + 4) = x + 46. What is x?
- 21.Arjun has 29 coins, all ₹5 and ₹2 coins, worth ₹139 in all. How many ₹5 coins are there?
- 22.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
- 23.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
- 24.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹43 in all. What does one pencil cost (in ₹)?
- 25.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
- 26.I think of a number, multiply it by 2 and then add 9. The answer is 43. What is my number?
- 27.I think of a number, multiply it by 6 and then add 8. The answer is 44. What is my number?
- 28.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
- 29.Solve for x: 7(x + 2) = x + 110. What is x?
- 30.Solve for x: 4(x + 1) = 2x + 40. What is x?
- 31.Solve for x: 6(x + 7) = 2x + 102. What is x?
- 32.3 × ? + 8 = 77
- 33.10 × ? − 11 = 149
- 34.Solve for x: 8(x + 4) = 2x + 62. What is x?
- 35.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
- 36.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
- 37.Solve for x: 7(x + 1) = 3x + 67. What is x?
- 38.12 × ? + 15 = 255
- 39.Solve for x: 3(x + 1) = 2x + 23. What is x?
- 40.Solve for x: 6(x + 2) = 5x + 20. What is x?
Answer key
- 17
- 8
- 7
- 15
- 4
- 11
- 6
- 3
- 3
- 18
- 7
- 4
- 14
- 6
- 4
- 10
- 13
- 4
- 6
- 10
- 27
- 9
- 10
- 5
- 4
- 17
- 6
- 5
- 16
- 18
- 15
- 23
- 16
- 5
- 1
- 3
- 15
- 20
- 20
- 8
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