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. 3 pens and 7 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
- 2.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
- 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
- 4.10 × ? − 19 = 21
- 5.A pen costs ₹10 more than a pencil. 6 pens and 3 pencils cost ₹231 in all. What does one pencil cost (in ₹)?
- 6.I think of a number, multiply it by 2 and then add 1. The answer is 7. What is my number?
- 7.I think of a number, multiply it by 6 and then take away 1. The answer is 137. What is my number?
- 8.I think of a number, multiply it by 4 and then take away 4. The answer is 28. What is my number?
- 9.11 × ? + 14 = 201
- 10.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
- 11.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
- 12.7 × ? − 22 = 20
- 13.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
- 14.11 × ? − 8 = 245
- 15.Saanvi has 23 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
- 16.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
- 17.6 × ? + 4 = 124
- 18.Diya has 16 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
- 19.Solve for x: 8(x + 7) = 3x + 71. What is x?
- 20.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
- 21.Solve for x: 6(x + 9) = x + 79. What is x?
- 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
- 23.A pen costs ₹6 more than a pencil. 2 pens and 6 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
- 24.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
- 25.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
- 26.I think of a number, multiply it by 7 and then take away 27. The answer is 29. What is my number?
- 27.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
- 28.I think of a number, multiply it by 8 and then take away 38. The answer is 26. What is my number?
- 29.Solve for x: 4(x + 8) = 3x + 48. What is x?
- 30.I think of a number, multiply it by 7 and then add 9. The answer is 205. What is my number?
- 31.8 × ? − 25 = 159
- 32.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
- 33.2 × ? + 26 = 34
- 34.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
- 35.Isha has 30 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
- 36.Solve for x: 8(x + 8) = 4x + 132. What is x?
- 37.Tara has 18 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
- 38.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
- 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
- 40.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
Answer key
- 13
- 12
- 27
- 4
- 19
- 3
- 23
- 8
- 17
- 18
- 12
- 6
- 29
- 23
- 13
- 19
- 20
- 13
- 3
- 14
- 5
- 13
- 5
- 9
- 15
- 8
- 7
- 8
- 16
- 28
- 23
- 5
- 4
- 8
- 22
- 17
- 11
- 9
- 21
- 8
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