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 ₹2 more than a pencil. 4 pens and 3 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
- 2.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
- 3.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
- 4.The length of a rectangle is 4 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
- 5.Solve for x: 5(x + 1) = 2x + 14. What is x?
- 6.12 × ? − 13 = 227
- 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
- 8.Arjun has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
- 9.Aarav has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
- 10.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
- 11.I think of a number, multiply it by 9 and then add 33. The answer is 105. What is my number?
- 12.Farhan has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
- 13.5 × ? − 1 = 89
- 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
- 15.Kavya has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
- 16.I think of a number, multiply it by 6 and then take away 12. The answer is 42. What is my number?
- 17.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
- 18.Solve for x: 7(x + 4) = 5x + 60. What is x?
- 19.Arjun has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
- 20.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
- 21.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
- 22.Zoya has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
- 23.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
- 24.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
- 25.5 × ? − 16 = 69
- 26.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
- 27.Kavya has 21 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
- 28.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
- 29.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
- 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 148 m. What is its breadth (in m)?
- 31.I think of a number, multiply it by 4 and then add 40. The answer is 64. What is my number?
- 32.Solve for x: 3(x + 1) = x + 39. What is x?
- 33.7 × ? + 11 = 165
- 34.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
- 35.Solve for x: 4(x + 8) = x + 83. What is x?
- 36.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
- 37.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
- 38.I think of a number, multiply it by 3 and then take away 7. The answer is 47. What is my number?
- 39.Pooja has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
- 40.I think of a number, multiply it by 3 and then take away 9. The answer is 21. What is my number?
Answer key
- 6
- 16
- 6
- 19
- 3
- 20
- 11
- 3
- 9
- 6
- 8
- 4
- 18
- 21
- 10
- 9
- 19
- 16
- 6
- 4
- 11
- 6
- 17
- 28
- 17
- 7
- 12
- 4
- 11
- 30
- 6
- 18
- 22
- 20
- 17
- 3
- 27
- 18
- 7
- 10
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