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
- 1.12 × ? + 17 = 281
- 2.I think of a number, multiply it by 4 and then add 20. The answer is 88. What is my number?
- 3.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
- 4.5 × ? − 19 = 41
- 5.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
- 6.Solve for x: 3(x + 6) = x + 54. What is x?
- 7.A pen costs ₹9 more than a pencil. 6 pens and 8 pencils cost ₹306 in all. What does one pencil cost (in ₹)?
- 8.Solve for x: 6(x + 2) = 2x + 32. What is x?
- 9.6 × ? + 9 = 159
- 10.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
- 11.Solve for x: 3(x + 8) = x + 42. What is x?
- 12.Solve for x: 5(x + 8) = 3x + 80. What is x?
- 13.Solve for x: 8(x + 3) = 5x + 36. What is x?
- 14.Solve for x: 8(x + 3) = 7x + 26. What is x?
- 15.Solve for x: 9(x + 1) = 6x + 18. What is x?
- 16.11 × ? + 27 = 258
- 17.I think of a number, multiply it by 8 and then add 8. The answer is 104. What is my number?
- 18.Solve for x: 6(x + 8) = 3x + 57. What is x?
- 19.5 × ? − 17 = 98
- 20.Solve for x: 6(x + 7) = 3x + 48. What is x?
- 21.Rohan has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
- 22.10 × ? + 16 = 96
- 23.11 × ? − 26 = 172
- 24.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
- 25.4 × ? + 3 = 27
- 26.Farhan has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
- 27.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
- 28.4 × ? + 21 = 61
- 29.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
- 30.Solve for x: 3(x + 4) = 2x + 18. What is x?
- 31.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
- 32.I think of a number, multiply it by 2 and then take away 33. The answer is 25. What is my number?
- 33.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹203 in all. What does one pencil cost (in ₹)?
- 34.I think of a number, multiply it by 9 and then add 5. The answer is 257. What is my number?
- 35.I think of a number, multiply it by 3 and then add 12. The answer is 33. What is my number?
- 36.Tara has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
- 37.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
- 38.Farhan has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
- 39.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
- 40.Solve for x: 7(x + 4) = 4x + 79. What is x?
Answer key
- 22
- 17
- 1
- 12
- 7
- 18
- 18
- 5
- 25
- 7
- 9
- 20
- 4
- 2
- 3
- 21
- 12
- 3
- 23
- 2
- 18
- 8
- 18
- 11
- 6
- 1
- 14
- 10
- 6
- 6
- 15
- 29
- 17
- 28
- 7
- 18
- 13
- 5
- 3
- 17
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