Class 7 Maths Worksheet: Simple Equations
The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.
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- 1.Nisha thinks of a number, multiplies it by 2 and then adds 3. The result is 15. What is the number?
- 2.Rohan thinks of a number, multiplies it by 4 and then adds 4. The result is 60. What is the number?
- 3.Solve: n/3 + 20 = 34. What is n?
- 4.Solve: 8m + 20 = 132. What is m?
- 5.Arjun’s mother is three times as old as Arjun. Their ages add up to 36 years. How old is Arjun?
- 6.Solve: 4p + 1 = 45. What is p?
- 7.Solve: 6n − 18 = 12. What is n?
- 8.Solve: 6(x + 7) = 102. What is x?
- 9.Karan’s mother is three times as old as Karan. Their ages add up to 24 years. How old is Karan?
- 10.Solve: 5x − 23 = 47. What is x?
- 11.Pooja thinks of a number, multiplies it by 2 and then adds 30. The result is 34. What is the number?
- 12.Kabir’s mother is four times as old as Kabir. Their ages add up to 40 years. How old is Kabir?
- 13.Solve: 9(x + 3) = 153. What is x?
- 14.Solve: 4p + 11 = 31. What is p?
- 15.Solve: 4p − 2 = 6. What is p?
- 16.Solve: 8x + 30 = 94. What is x?
- 17.Solve: 7p − 11 = 17. What is p?
- 18.Solve: 6p + 14 = 26. What is p?
- 19.Pooja thinks of a number, multiplies it by 2 and then adds 23. The result is 53. What is the number?
- 20.Solve: 3n − 6 = 6. What is n?
- 21.Solve: p/3 + 7 = 18. What is p?
- 22.Solve: 3m + 27 = 36. What is m?
- 23.Solve: y/9 + 17 = 25. What is y?
- 24.Solve: 4t − 36 = 20. What is t?
- 25.Solve: 8p + 8 = 120. What is p?
- 26.Solve: n/6 + 4 = 18. What is n?
- 27.Solve: 7m + 21 = 49. What is m?
- 28.Solve: 3y − 4 = 2. What is y?
- 29.Dev’s mother is three times as old as Dev. Their ages add up to 20 years. How old is Dev?
- 30.Solve: 3n + 3 = 6. What is n?
- 31.Solve: 2m + 26 = 48. What is m?
- 32.Rahul thinks of a number, multiplies it by 4 and then adds 18. The result is 38. What is the number?
- 33.Solve: x/4 + 1 = 3. What is x?
- 34.Solve: 2p + 16 = 26. What is p?
- 35.Kavya thinks of a number, multiplies it by 5 and then adds 10. The result is 35. What is the number?
- 36.Joseph’s mother is twice as old as Joseph. Their ages add up to 18 years. How old is Joseph?
- 37.Aarav thinks of a number, multiplies it by 7 and then adds 17. The result is 24. What is the number?
- 38.Solve: 4m + 17 = 41. What is m?
- 39.Solve: 3(y + 7) = 54. What is y?
- 40.Solve: 8n + 7 = 111. What is n?
Answer key
- 6
- 14
- 42
- 14
- 9
- 11
- 5
- 10
- 6
- 14
- 2
- 8
- 14
- 5
- 2
- 8
- 4
- 2
- 15
- 4
- 33
- 3
- 72
- 14
- 14
- 84
- 4
- 2
- 5
- 1
- 11
- 5
- 8
- 5
- 5
- 6
- 1
- 6
- 11
- 13
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