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
- 1.12 × ? − 17 = 55
- 2.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
- 3.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
- 4.Solve for x: 3(x + 3) = x + 45. What is x?
- 5.10 × ? − 6 = 244
- 6.10 × ? − 23 = 227
- 7.4 × ? + 22 = 110
- 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
- 9.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹282 in all. What does one pencil cost (in ₹)?
- 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
- 11.4 × ? − 13 = 31
- 12.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
- 13.Solve for x: 5(x + 1) = x + 21. What is x?
- 14.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
- 15.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
- 16.I think of a number, multiply it by 9 and then add 17. The answer is 197. What is my number?
- 17.I think of a number, multiply it by 2 and then take away 17. The answer is 27. What is my number?
- 18.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
- 19.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
- 20.7 × ? − 5 = 142
- 21.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
- 22.Kabir has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
- 23.Solve for x: 5(x + 9) = 3x + 47. What is x?
- 24.Solve for x: 4(x + 8) = 2x + 50. What is x?
- 25.A pen costs ₹2 more than a pencil. 5 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
- 26.Solve for x: 3(x + 9) = 2x + 31. What is x?
- 27.Zoya has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
- 28.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
- 29.I think of a number, multiply it by 9 and then take away 18. The answer is 180. What is my number?
- 30.6 × ? + 15 = 141
- 31.11 × ? − 16 = 50
- 32.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
- 33.7 × ? + 7 = 91
- 34.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹224 in all. What does one pencil cost (in ₹)?
- 35.The length of a rectangle is 8 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
- 36.I think of a number, multiply it by 5 and then add 9. The answer is 124. What is my number?
- 37.12 × ? + 20 = 224
- 38.7 × ? − 5 = 23
- 39.I think of a number, multiply it by 2 and then add 15. The answer is 31. What is my number?
- 40.I think of a number, multiply it by 7 and then take away 33. The answer is 9. What is my number?
Answer key
- 6
- 22
- 8
- 18
- 25
- 25
- 22
- 25
- 18
- 7
- 11
- 2
- 4
- 17
- 8
- 20
- 22
- 12
- 5
- 21
- 19
- 9
- 1
- 9
- 10
- 4
- 1
- 20
- 22
- 21
- 6
- 10
- 12
- 20
- 3
- 23
- 17
- 4
- 8
- 6
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