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: 8y + 1 = 9. What is y?
- 2.Rohan thinks of a number, multiplies it by 4 and then adds 28. The result is 64. What is the number?
- 3.Solve: 8n + 23 = 111. What is n?
- 4.Solve: 9x + 24 = 123. What is x?
- 5.Solve: t/9 + 18 = 20. What is t?
- 6.Solve: 3m + 25 = 52. What is m?
- 7.Solve: 7(x + 6) = 84. What is x?
- 8.Solve: 2m + 19 = 39. What is m?
- 9.Solve: n/9 + 3 = 16. What is n?
- 10.Solve: 7y − 7 = 7. What is y?
- 11.Priya thinks of a number, multiplies it by 3 and then adds 18. The result is 27. What is the number?
- 12.Solve: 8(p + 9) = 104. What is p?
- 13.Solve: 8(m + 1) = 72. What is m?
- 14.Aarav thinks of a number, multiplies it by 8 and then adds 27. The result is 131. What is the number?
- 15.Solve: 5y − 34 = 6. What is y?
- 16.Aarav thinks of a number, multiplies it by 6 and then adds 7. The result is 13. What is the number?
- 17.Solve: 4n + 19 = 55. What is n?
- 18.Solve: t/6 + 1 = 5. What is t?
- 19.Rohan’s mother is four times as old as Rohan. Their ages add up to 30 years. How old is Rohan?
- 20.Isha is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
- 21.Solve: 7(p + 2) = 35. What is p?
- 22.Solve: x/2 + 9 = 10. What is x?
- 23.Dev thinks of a number, multiplies it by 6 and then adds 25. The result is 73. What is the number?
- 24.Solve: 4m + 7 = 15. What is m?
- 25.Solve: 6m − 13 = 11. What is m?
- 26.Solve: 6p − 60 = 18. What is p?
- 27.Solve: 4n − 21 = 15. What is n?
- 28.Joseph thinks of a number, multiplies it by 8 and then adds 23. The result is 127. What is the number?
- 29.Solve: 7t − 21 = 14. What is t?
- 30.Saanvi thinks of a number, multiplies it by 5 and then adds 6. The result is 21. What is the number?
- 31.Solve: 5(y + 6) = 80. What is y?
- 32.Zoya’s mother is four times as old as Zoya. Their ages add up to 50 years. How old is Zoya?
- 33.Arjun thinks of a number, multiplies it by 2 and then adds 24. The result is 40. What is the number?
- 34.Solve: p/9 + 7 = 19. What is p?
- 35.Solve: 4y − 32 = 20. What is y?
- 36.Solve: 7(y + 3) = 119. What is y?
- 37.Rahul is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
- 38.Karan thinks of a number, multiplies it by 5 and then adds 4. The result is 64. What is the number?
- 39.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 50 years. How old is Lakshmi?
- 40.Solve: 7n − 31 = 32. What is n?
Answer key
- 1
- 9
- 11
- 11
- 18
- 9
- 6
- 10
- 117
- 2
- 3
- 4
- 8
- 13
- 8
- 1
- 9
- 24
- 6
- 9
- 3
- 2
- 8
- 2
- 4
- 13
- 9
- 13
- 5
- 3
- 10
- 10
- 8
- 108
- 13
- 14
- 14
- 12
- 10
- 9
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