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
- 1.8 × ? + 19 = 123
- 2.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
- 3.Zoya has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
- 4.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
- 5.Karan has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
- 6.Solve for x: 5(x + 7) = x + 99. What is x?
- 7.I think of a number, multiply it by 4 and then take away 19. The answer is 41. What is my number?
- 8.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
- 9.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
- 10.Saanvi has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
- 11.9 × ? + 19 = 136
- 12.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
- 13.Solve for x: 6(x + 9) = 4x + 86. What is x?
- 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
- 15.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
- 16.I think of a number, multiply it by 7 and then take away 36. The answer is 6. What is my number?
- 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
- 18.Solve for x: 6(x + 9) = 2x + 62. What is x?
- 19.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
- 20.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
- 21.Solve for x: 8(x + 9) = x + 100. What is x?
- 22.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
- 23.Solve for x: 4(x + 8) = 3x + 34. What is x?
- 24.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
- 25.8 × ? + 5 = 149
- 26.I think of a number, multiply it by 2 and then add 14. The answer is 62. What is my number?
- 27.Solve for x: 9(x + 8) = 3x + 108. What is x?
- 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
- 29.9 × ? + 26 = 44
- 30.Solve for x: 4(x + 3) = 2x + 38. What is x?
- 31.9 × ? − 13 = 140
- 32.Isha has 25 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
- 33.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
- 34.I think of a number, multiply it by 5 and then add 9. The answer is 19. What is my number?
- 35.I think of a number, multiply it by 5 and then add 16. The answer is 151. What is my number?
- 36.9 × ? − 11 = 142
- 37.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
- 38.Solve for x: 4(x + 9) = 2x + 64. What is x?
- 39.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
- 40.I think of a number, multiply it by 8 and then take away 5. The answer is 91. What is my number?
Answer key
- 13
- 10
- 3
- 9
- 9
- 16
- 15
- 15
- 2
- 5
- 13
- 20
- 16
- 25
- 14
- 6
- 7
- 2
- 14
- 9
- 4
- 2
- 2
- 21
- 18
- 24
- 6
- 19
- 2
- 13
- 17
- 15
- 9
- 2
- 27
- 17
- 13
- 14
- 16
- 12
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