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.I think of a number, multiply it by 8 and then add 6. The answer is 46. What is my number?
- 2.I think of a number, multiply it by 8 and then add 17. The answer is 209. What is my number?
- 3.7 × ? − 7 = 168
- 4.I think of a number, multiply it by 9 and then add 2. The answer is 245. What is my number?
- 5.I think of a number, multiply it by 9 and then add 32. The answer is 140. What is my number?
- 6.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
- 7.A pen costs ₹9 more than a pencil. 6 pens and 5 pencils cost ₹263 in all. What does one pencil cost (in ₹)?
- 8.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
- 9.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
- 10.Sneha has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
- 11.Solve for x: 3(x + 1) = x + 29. What is x?
- 12.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
- 13.Solve for x: 6(x + 1) = 2x + 74. What is x?
- 14.10 × ? − 15 = 125
- 15.I think of a number, multiply it by 6 and then add 11. The answer is 131. What is my number?
- 16.The length of a rectangle is 10 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
- 17.Kavya has 30 coins, all ₹5 and ₹2 coins, worth ₹147 in all. How many ₹5 coins are there?
- 18.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
- 19.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
- 20.11 × ? − 5 = 237
- 21.Isha has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
- 22.Solve for x: 9(x + 3) = 2x + 104. What is x?
- 23.The length of a rectangle is 13 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
- 24.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
- 25.A pen costs ₹11 more than a pencil. 4 pens and 8 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
- 26.Solve for x: 5(x + 9) = 2x + 75. What is x?
- 27.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
- 28.The length of a rectangle is 9 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
- 29.I think of a number, multiply it by 9 and then add 22. The answer is 184. What is my number?
- 30.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
- 31.A pen costs ₹14 more than a pencil. 5 pens and 3 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
- 32.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
- 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
- 34.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
- 35.Solve for x: 5(x + 2) = 3x + 38. What is x?
- 36.I think of a number, multiply it by 2 and then add 33. The answer is 85. What is my number?
- 37.Kabir has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
- 38.I think of a number, multiply it by 6 and then take away 20. The answer is 64. What is my number?
- 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
- 40.I think of a number, multiply it by 5 and then take away 35. The answer is 60. What is my number?
Answer key
- 5
- 24
- 25
- 27
- 12
- 4
- 19
- 8
- 17
- 2
- 13
- 6
- 17
- 14
- 20
- 9
- 29
- 7
- 5
- 22
- 4
- 11
- 4
- 13
- 13
- 10
- 9
- 27
- 18
- 15
- 16
- 19
- 16
- 7
- 14
- 26
- 9
- 14
- 19
- 19
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