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.Solve for x: 8(x + 2) = 7x + 26. What is x?
- 2.I think of a number, multiply it by 5 and then take away 15. The answer is 100. What is my number?
- 3.Solve for x: 6(x + 7) = 3x + 60. What is x?
- 4.I think of a number, multiply it by 4 and then add 23. The answer is 47. What is my number?
- 5.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
- 6.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
- 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
- 8.10 × ? − 8 = 52
- 9.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
- 10.5 × ? + 21 = 101
- 11.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
- 12.7 × ? − 11 = 3
- 13.Solve for x: 6(x + 9) = 4x + 82. What is x?
- 14.Solve for x: 8(x + 3) = 2x + 132. What is x?
- 15.11 × ? + 9 = 229
- 16.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
- 17.I think of a number, multiply it by 4 and then add 21. The answer is 41. What is my number?
- 18.I think of a number, multiply it by 4 and then add 20. The answer is 116. What is my number?
- 19.3 × ? + 28 = 34
- 20.Manav has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
- 21.A pen costs ₹15 more than a pencil. 6 pens and 6 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
- 22.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
- 23.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
- 24.Isha has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
- 25.4 × ? + 30 = 42
- 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
- 27.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
- 28.3 × ? − 26 = 19
- 29.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
- 30.I think of a number, multiply it by 5 and then add 34. The answer is 44. What is my number?
- 31.A pen costs ₹15 more than a pencil. 6 pens and 5 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
- 32.Solve for x: 7(x + 4) = 2x + 33. What is x?
- 33.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
- 34.Solve for x: 3(x + 3) = 2x + 23. What is x?
- 35.I think of a number, multiply it by 8 and then take away 16. The answer is 80. What is my number?
- 36.12 × ? + 28 = 208
- 37.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
- 38.10 × ? + 19 = 159
- 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
- 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
Answer key
- 10
- 23
- 6
- 6
- 11
- 24
- 13
- 6
- 8
- 16
- 10
- 2
- 14
- 18
- 20
- 10
- 5
- 24
- 2
- 4
- 9
- 9
- 6
- 9
- 3
- 20
- 6
- 15
- 7
- 2
- 6
- 1
- 7
- 14
- 12
- 15
- 18
- 14
- 24
- 24
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