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: 3y + 20 = 38. What is y?
- 2.Solve: 7y − 6 = 1. What is y?
- 3.Sneha’s mother is twice as old as Sneha. Their ages add up to 36 years. How old is Sneha?
- 4.Solve: 3n − 4 = 5. What is n?
- 5.Vivaan is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
- 6.Nisha thinks of a number, multiplies it by 5 and then adds 3. The result is 38. What is the number?
- 7.Solve: 8m + 1 = 65. What is m?
- 8.Farhan’s mother is four times as old as Farhan. Their ages add up to 50 years. How old is Farhan?
- 9.Solve: 5t + 25 = 75. What is t?
- 10.Tara is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
- 11.Ananya is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
- 12.Rahul thinks of a number, multiplies it by 3 and then adds 12. The result is 30. What is the number?
- 13.Gurpreet thinks of a number, multiplies it by 8 and then adds 28. The result is 108. What is the number?
- 14.Solve: 8n + 7 = 95. What is n?
- 15.Karan is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
- 16.Solve: y/7 + 4 = 12. What is y?
- 17.Solve: t/4 + 17 = 30. What is t?
- 18.Priya thinks of a number, multiplies it by 4 and then adds 21. The result is 37. What is the number?
- 19.Dev is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
- 20.Solve: 9(n + 1) = 36. What is n?
- 21.Solve: y/2 + 5 = 8. What is y?
- 22.Rahul’s mother is twice as old as Rahul. Their ages add up to 39 years. How old is Rahul?
- 23.Solve: 8m + 27 = 99. What is m?
- 24.Kabir’s mother is four times as old as Kabir. Their ages add up to 35 years. How old is Kabir?
- 25.Solve: 5x − 27 = 8. What is x?
- 26.Ananya thinks of a number, multiplies it by 4 and then adds 22. The result is 82. What is the number?
- 27.Solve: 8p − 7 = 73. What is p?
- 28.Nisha thinks of a number, multiplies it by 4 and then adds 20. The result is 52. What is the number?
- 29.Solve: 7m + 21 = 35. What is m?
- 30.Solve: 9x + 1 = 37. What is x?
- 31.Solve: t/6 + 8 = 12. What is t?
- 32.Solve: 5(x + 5) = 100. What is x?
- 33.Solve: 3y − 5 = 4. What is y?
- 34.Meera thinks of a number, multiplies it by 7 and then adds 5. The result is 82. What is the number?
- 35.Manav is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
- 36.Dev thinks of a number, multiplies it by 6 and then adds 5. The result is 47. What is the number?
- 37.Solve: 4y + 20 = 48. What is y?
- 38.Rahul thinks of a number, multiplies it by 2 and then adds 26. The result is 50. What is the number?
- 39.Solve: 2t − 11 = 3. What is t?
- 40.Ishaan thinks of a number, multiplies it by 2 and then adds 12. The result is 40. What is the number?
Answer key
- 6
- 1
- 12
- 3
- 6
- 7
- 8
- 10
- 10
- 12
- 7
- 6
- 10
- 11
- 8
- 56
- 52
- 4
- 14
- 3
- 6
- 13
- 9
- 7
- 7
- 15
- 10
- 8
- 2
- 4
- 24
- 15
- 3
- 11
- 8
- 7
- 7
- 12
- 7
- 14
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