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.Vivaan has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
- 2.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
- 3.Sneha has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
- 4.Solve for x: 6(x + 3) = 3x + 51. What is x?
- 5.Solve for x: 5(x + 2) = 3x + 12. What is x?
- 6.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
- 7.3 × ? + 22 = 49
- 8.I think of a number, multiply it by 3 and then add 22. The answer is 112. What is my number?
- 9.Solve for x: 8(x + 5) = 6x + 80. What is x?
- 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
- 11.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
- 12.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
- 13.12 × ? − 18 = 138
- 14.Solve for x: 7(x + 8) = x + 128. What is x?
- 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
- 16.I think of a number, multiply it by 9 and then add 26. The answer is 260. What is my number?
- 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
- 18.A pen costs ₹13 more than a pencil. 6 pens and 2 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
- 19.I think of a number, multiply it by 7 and then add 13. The answer is 209. What is my number?
- 20.10 × ? − 15 = 25
- 21.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
- 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
- 23.I think of a number, multiply it by 3 and then take away 35. The answer is 46. What is my number?
- 24.I think of a number, multiply it by 4 and then add 14. The answer is 50. What is my number?
- 25.Saanvi has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
- 26.I think of a number, multiply it by 2 and then add 39. The answer is 83. What is my number?
- 27.Solve for x: 9(x + 7) = 4x + 163. What is x?
- 28.I think of a number, multiply it by 3 and then add 6. The answer is 39. What is my number?
- 29.Solve for x: 4(x + 6) = 2x + 52. What is x?
- 30.I think of a number, multiply it by 8 and then add 39. The answer is 263. What is my number?
- 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
- 32.7 × ? − 30 = 68
- 33.8 × ? + 3 = 195
- 34.Solve for x: 4(x + 1) = 3x + 19. What is x?
- 35.I think of a number, multiply it by 6 and then add 22. The answer is 106. What is my number?
- 36.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
- 37.9 × ? + 13 = 193
- 38.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
- 39.Solve for x: 4(x + 4) = x + 19. What is x?
- 40.A pen costs ₹3 more than a pencil. 4 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
Answer key
- 15
- 9
- 9
- 11
- 1
- 19
- 9
- 30
- 20
- 29
- 11
- 29
- 13
- 12
- 18
- 26
- 23
- 15
- 28
- 4
- 28
- 7
- 27
- 9
- 3
- 22
- 20
- 11
- 14
- 28
- 19
- 14
- 24
- 15
- 14
- 7
- 20
- 19
- 1
- 15
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