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
- 1.9 × ? − 7 = 101
- 2.I think of a number, multiply it by 8 and then add 30. The answer is 182. What is my number?
- 3.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
- 4.Solve for x: 9(x + 9) = 6x + 108. What is x?
- 5.Solve for x: 5(x + 4) = x + 100. What is x?
- 6.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
- 7.Solve for x: 8(x + 8) = x + 134. What is x?
- 8.Kabir has 22 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
- 9.Solve for x: 3(x + 2) = x + 46. What is x?
- 10.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
- 11.3 × ? + 3 = 15
- 12.Vivaan has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
- 13.I think of a number, multiply it by 4 and then add 32. The answer is 104. What is my number?
- 14.Solve for x: 9(x + 1) = 4x + 89. What is x?
- 15.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
- 16.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
- 17.Solve for x: 7(x + 3) = 5x + 51. What is x?
- 18.Solve for x: 8(x + 5) = x + 124. What is x?
- 19.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
- 20.Solve for x: 6(x + 8) = x + 68. What is x?
- 21.Solve for x: 3(x + 4) = 2x + 26. What is x?
- 22.Zoya has 19 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
- 23.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
- 24.Solve for x: 7(x + 6) = 6x + 51. What is x?
- 25.I think of a number, multiply it by 4 and then add 9. The answer is 121. What is my number?
- 26.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
- 27.3 × ? − 18 = 30
- 28.9 × ? − 5 = 13
- 29.I think of a number, multiply it by 9 and then take away 4. The answer is 122. What is my number?
- 30.Solve for x: 6(x + 3) = x + 48. What is x?
- 31.3 × ? + 11 = 41
- 32.6 × ? − 1 = 113
- 33.Solve for x: 8(x + 7) = 4x + 124. What is x?
- 34.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
- 35.2 × ? + 23 = 41
- 36.The length of a rectangle is 8 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
- 37.Solve for x: 7(x + 9) = 3x + 87. What is x?
- 38.10 × ? − 3 = 67
- 39.I think of a number, multiply it by 5 and then add 1. The answer is 106. What is my number?
- 40.I think of a number, multiply it by 3 and then take away 23. The answer is 16. What is my number?
Answer key
- 12
- 19
- 5
- 9
- 20
- 6
- 10
- 21
- 20
- 18
- 4
- 6
- 18
- 16
- 2
- 6
- 15
- 12
- 6
- 4
- 14
- 8
- 6
- 9
- 28
- 3
- 16
- 2
- 14
- 6
- 10
- 19
- 17
- 5
- 9
- 23
- 6
- 7
- 21
- 13
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