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.Solve: 8n + 24 = 32. What is n?
- 2.Nisha thinks of a number, multiplies it by 9 and then adds 20. The result is 155. What is the number?
- 3.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 50 years. How old is Vivaan?
- 4.Solve: 7y + 8 = 36. What is y?
- 5.Solve: 3x + 10 = 46. What is x?
- 6.Solve: 3m − 15 = 12. What is m?
- 7.Solve: 8t − 4 = 4. What is t?
- 8.Solve: 9m − 16 = 20. What is m?
- 9.Solve: m/5 + 19 = 21. What is m?
- 10.Priya thinks of a number, multiplies it by 2 and then adds 15. The result is 27. What is the number?
- 11.Meera is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
- 12.Solve: 3t − 1 = 11. What is t?
- 13.Solve: 7x + 22 = 71. What is x?
- 14.Solve: 7y + 10 = 59. What is y?
- 15.Solve: m/8 + 1 = 9. What is m?
- 16.Zoya’s mother is twice as old as Zoya. Their ages add up to 12 years. How old is Zoya?
- 17.Solve: 8m + 17 = 33. What is m?
- 18.Isha’s mother is three times as old as Isha. Their ages add up to 44 years. How old is Isha?
- 19.Solve: 3(m + 3) = 48. What is m?
- 20.Solve: 8p + 8 = 96. What is p?
- 21.Solve: 2(t + 2) = 8. What is t?
- 22.Isha thinks of a number, multiplies it by 4 and then adds 9. The result is 29. What is the number?
- 23.Solve: 9m + 22 = 49. What is m?
- 24.Solve: 8x − 18 = 78. What is x?
- 25.Solve: 2m + 12 = 36. What is m?
- 26.Rahul thinks of a number, multiplies it by 8 and then adds 12. The result is 124. What is the number?
- 27.Meera’s mother is twice as old as Meera. Their ages add up to 39 years. How old is Meera?
- 28.Solve: 3p + 15 = 27. What is p?
- 29.Solve: 8y + 14 = 30. What is y?
- 30.Solve: 9x − 71 = 37. What is x?
- 31.Solve: 4m − 30 = 10. What is m?
- 32.Solve: 6x − 18 = 30. What is x?
- 33.Solve: t/3 + 11 = 14. What is t?
- 34.Solve: 3m + 30 = 63. What is m?
- 35.Sneha thinks of a number, multiplies it by 2 and then adds 21. The result is 37. What is the number?
- 36.Priya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
- 37.Ananya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
- 38.Kabir is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
- 39.Solve: t/3 + 15 = 17. What is t?
- 40.Solve: 7m + 12 = 117. What is m?
Answer key
- 1
- 15
- 10
- 4
- 12
- 9
- 1
- 4
- 10
- 6
- 7
- 4
- 7
- 7
- 64
- 4
- 2
- 11
- 13
- 11
- 2
- 5
- 3
- 12
- 12
- 14
- 13
- 4
- 2
- 12
- 10
- 8
- 9
- 11
- 8
- 8
- 8
- 10
- 6
- 15
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