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 × ? + 24 = 96
- 2.I think of a number, multiply it by 4 and then add 23. The answer is 143. What is my number?
- 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
- 4.Solve for x: 3(x + 4) = x + 44. What is x?
- 5.A pen costs ₹7 more than a pencil. 6 pens and 8 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
- 6.Vivaan has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
- 7.Solve for x: 5(x + 8) = 2x + 76. What is x?
- 8.I think of a number, multiply it by 6 and then add 20. The answer is 110. What is my number?
- 9.Solve for x: 5(x + 3) = 2x + 69. What is x?
- 10.Priya has 23 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
- 11.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
- 12.I think of a number, multiply it by 5 and then add 16. The answer is 136. What is my number?
- 13.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹280 in all. What does one pencil cost (in ₹)?
- 14.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
- 15.A pen costs ₹10 more than a pencil. 2 pens and 6 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
- 16.Ishaan has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
- 17.11 × ? + 9 = 196
- 18.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
- 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
- 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
- 21.Solve for x: 3(x + 6) = 2x + 29. What is x?
- 22.I think of a number, multiply it by 2 and then add 31. The answer is 87. What is my number?
- 23.6 × ? − 26 = 106
- 24.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
- 25.I think of a number, multiply it by 4 and then add 38. The answer is 102. What is my number?
- 26.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
- 27.I think of a number, multiply it by 7 and then add 17. The answer is 94. What is my number?
- 28.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
- 29.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
- 30.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
- 31.Solve for x: 9(x + 4) = 5x + 48. What is x?
- 32.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
- 33.I think of a number, multiply it by 4 and then add 39. The answer is 147. What is my number?
- 34.A pen costs ₹14 more than a pencil. 6 pens and 4 pencils cost ₹224 in all. What does one pencil cost (in ₹)?
- 35.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
- 36.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
- 37.Solve for x: 6(x + 5) = 5x + 34. What is x?
- 38.Kabir has 20 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
- 39.Nisha has 29 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
- 40.I think of a number, multiply it by 9 and then take away 28. The answer is 8. What is my number?
Answer key
- 6
- 30
- 17
- 16
- 12
- 12
- 12
- 15
- 18
- 16
- 18
- 24
- 20
- 4
- 15
- 4
- 17
- 3
- 28
- 14
- 11
- 28
- 22
- 9
- 16
- 17
- 11
- 4
- 16
- 20
- 3
- 26
- 27
- 14
- 9
- 15
- 4
- 17
- 22
- 4
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