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.Nisha has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
- 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
- 3.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
- 4.A pen costs ₹10 more than a pencil. 3 pens and 6 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
- 5.A pen costs ₹12 more than a pencil. 3 pens and 5 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
- 6.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
- 7.8 × ? + 18 = 218
- 8.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
- 9.9 × ? − 3 = 123
- 10.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
- 11.Ishaan has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
- 12.A pen costs ₹12 more than a pencil. 4 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
- 13.A pen costs ₹9 more than a pencil. 3 pens and 7 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
- 14.Solve for x: 5(x + 4) = x + 56. What is x?
- 15.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹129 in all. How many ₹5 coins are there?
- 16.Aditya has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
- 17.5 × ? − 15 = 105
- 18.A pen costs ₹13 more than a pencil. 4 pens and 4 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
- 19.Solve for x: 7(x + 6) = 5x + 82. What is x?
- 20.I think of a number, multiply it by 6 and then take away 19. The answer is 143. What is my number?
- 21.Solve for x: 8(x + 3) = 3x + 99. What is x?
- 22.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
- 23.7 × ? + 30 = 86
- 24.I think of a number, multiply it by 8 and then add 36. The answer is 76. What is my number?
- 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
- 26.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
- 27.Meera has 20 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
- 28.A pen costs ₹12 more than a pencil. 4 pens and 4 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
- 29.Solve for x: 3(x + 7) = x + 59. What is x?
- 30.I think of a number, multiply it by 8 and then add 32. The answer is 128. What is my number?
- 31.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
- 32.I think of a number, multiply it by 4 and then add 4. The answer is 16. What is my number?
- 33.I think of a number, multiply it by 9 and then add 35. The answer is 305. What is my number?
- 34.A pen costs ₹5 more than a pencil. 4 pens and 4 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
- 35.I think of a number, multiply it by 6 and then take away 27. The answer is 147. What is my number?
- 36.5 × ? − 14 = 31
- 37.Solve for x: 3(x + 1) = 2x + 18. What is x?
- 38.Zoya has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
- 39.The length of a rectangle is 6 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
- 40.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
Answer key
- 12
- 25
- 9
- 7
- 20
- 3
- 25
- 19
- 14
- 8
- 8
- 10
- 15
- 9
- 23
- 6
- 24
- 17
- 20
- 27
- 15
- 6
- 8
- 5
- 22
- 19
- 19
- 18
- 19
- 12
- 17
- 3
- 30
- 20
- 29
- 9
- 15
- 19
- 16
- 2
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