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
- 1.4 × ? − 7 = 49
- 2.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
- 3.A pen costs ₹12 more than a pencil. 6 pens and 2 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
- 4.I think of a number, multiply it by 6 and then add 40. The answer is 64. What is my number?
- 5.9 × ? + 6 = 24
- 6.Solve for x: 9(x + 3) = 8x + 29. What is x?
- 7.I think of a number, multiply it by 9 and then take away 11. The answer is 34. What is my number?
- 8.3 × ? − 5 = 31
- 9.11 × ? − 16 = 83
- 10.Solve for x: 6(x + 4) = 4x + 54. What is x?
- 11.I think of a number, multiply it by 5 and then take away 11. The answer is 89. What is my number?
- 12.Karan has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
- 13.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
- 14.Solve for x: 5(x + 9) = 3x + 65. What is x?
- 15.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
- 16.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
- 17.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
- 18.Solve for x: 8(x + 9) = 5x + 132. What is x?
- 19.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
- 20.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
- 21.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
- 22.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
- 23.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
- 24.9 × ? − 14 = 166
- 25.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
- 26.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
- 27.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
- 28.6 × ? + 8 = 110
- 29.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
- 30.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
- 31.Dev has 25 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
- 32.Solve for x: 7(x + 1) = 6x + 14. What is x?
- 33.I think of a number, multiply it by 8 and then take away 10. The answer is 102. What is my number?
- 34.2 × ? − 11 = 5
- 35.The length of a rectangle is 13 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
- 36.A pen costs ₹9 more than a pencil. 5 pens and 5 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
- 37.I think of a number, multiply it by 4 and then add 34. The answer is 94. What is my number?
- 38.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
- 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
- 40.Solve for x: 9(x + 3) = 6x + 63. What is x?
Answer key
- 14
- 3
- 14
- 4
- 2
- 2
- 5
- 12
- 9
- 15
- 20
- 9
- 12
- 10
- 23
- 20
- 14
- 20
- 6
- 5
- 16
- 10
- 9
- 20
- 5
- 11
- 6
- 17
- 11
- 3
- 4
- 7
- 14
- 8
- 28
- 13
- 15
- 7
- 15
- 12
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