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: 2p + 7 = 27. What is p?
- 2.Diya thinks of a number, multiplies it by 5 and then adds 18. The result is 93. What is the number?
- 3.Solve: 8y + 24 = 64. What is y?
- 4.Kavya thinks of a number, multiplies it by 2 and then adds 12. The result is 30. What is the number?
- 5.Solve: 6p + 8 = 80. What is p?
- 6.Solve: 4n − 6 = 2. What is n?
- 7.Solve: 3t + 29 = 56. What is t?
- 8.Solve: 2x + 3 = 17. What is x?
- 9.Pooja is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
- 10.Solve: 2m + 6 = 34. What is m?
- 11.Solve: 3p + 25 = 67. What is p?
- 12.Kavya is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
- 13.Nisha’s mother is four times as old as Nisha. Their ages add up to 25 years. How old is Nisha?
- 14.Solve: 6(m + 2) = 42. What is m?
- 15.Solve: 7y + 17 = 80. What is y?
- 16.Rohan thinks of a number, multiplies it by 9 and then adds 7. The result is 97. What is the number?
- 17.Solve: 5x − 34 = 6. What is x?
- 18.Solve: 3p − 1 = 2. What is p?
- 19.Sneha thinks of a number, multiplies it by 9 and then adds 5. The result is 14. What is the number?
- 20.Solve: p/3 + 13 = 21. What is p?
- 21.Ananya is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
- 22.Ishaan is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
- 23.Solve: 7x + 1 = 29. What is x?
- 24.Solve: 3(m + 1) = 45. What is m?
- 25.Solve: 7y + 3 = 101. What is y?
- 26.Kavya’s mother is four times as old as Kavya. Their ages add up to 75 years. How old is Kavya?
- 27.Meera thinks of a number, multiplies it by 4 and then adds 9. The result is 29. What is the number?
- 28.Solve: 5x + 12 = 22. What is x?
- 29.Solve: y/2 + 5 = 9. What is y?
- 30.Solve: 5y − 21 = 24. What is y?
- 31.Isha is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
- 32.Pooja thinks of a number, multiplies it by 3 and then adds 5. The result is 20. What is the number?
- 33.Solve: 2(t + 3) = 12. What is t?
- 34.Solve: 2(t + 3) = 34. What is t?
- 35.Solve: 6t − 51 = 33. What is t?
- 36.Solve: p/7 + 5 = 7. What is p?
- 37.Solve: 3m − 16 = 14. What is m?
- 38.Solve: x/9 + 18 = 26. What is x?
- 39.Gurpreet thinks of a number, multiplies it by 9 and then adds 11. The result is 65. What is the number?
- 40.Arjun’s mother is three times as old as Arjun. Their ages add up to 48 years. How old is Arjun?
Answer key
- 10
- 15
- 5
- 9
- 12
- 2
- 9
- 7
- 9
- 14
- 14
- 4
- 5
- 5
- 9
- 10
- 8
- 1
- 1
- 24
- 4
- 15
- 4
- 14
- 14
- 15
- 5
- 2
- 8
- 9
- 14
- 5
- 3
- 14
- 14
- 14
- 10
- 72
- 6
- 12
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