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: 3(x + 3) = 42. What is x?
- 2.Solve: 9p + 19 = 127. What is p?
- 3.Solve: 5m + 9 = 49. What is m?
- 4.Solve: 6x − 4 = 8. What is x?
- 5.Pooja’s mother is twice as old as Pooja. Their ages add up to 33 years. How old is Pooja?
- 6.Sneha is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
- 7.Karan’s mother is four times as old as Karan. Their ages add up to 55 years. How old is Karan?
- 8.Zoya is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
- 9.Aditya thinks of a number, multiplies it by 4 and then adds 12. The result is 36. What is the number?
- 10.Solve: 3x − 22 = 11. What is x?
- 11.Solve: t/3 + 10 = 19. What is t?
- 12.Solve: 9p + 8 = 26. What is p?
- 13.Gurpreet thinks of a number, multiplies it by 9 and then adds 10. The result is 37. What is the number?
- 14.Solve: 9t + 22 = 58. What is t?
- 15.Rohan thinks of a number, multiplies it by 5 and then adds 15. The result is 50. What is the number?
- 16.Solve: x/5 + 5 = 15. What is x?
- 17.Meera is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
- 18.Solve: 2y + 28 = 34. What is y?
- 19.Solve: 9n + 22 = 49. What is n?
- 20.Solve: 8x − 34 = 22. What is x?
- 21.Solve: 2y + 14 = 44. What is y?
- 22.Solve: 4n − 11 = 25. What is n?
- 23.Gurpreet thinks of a number, multiplies it by 7 and then adds 22. The result is 57. What is the number?
- 24.Solve: 9(m + 7) = 180. What is m?
- 25.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 70 years. How old is Saanvi?
- 26.Solve: 3y − 14 = 10. What is y?
- 27.Solve: 3p − 10 = 29. What is p?
- 28.Arjun thinks of a number, multiplies it by 3 and then adds 24. The result is 60. What is the number?
- 29.Solve: 8t + 1 = 97. What is t?
- 30.Gurpreet thinks of a number, multiplies it by 8 and then adds 24. The result is 88. What is the number?
- 31.Solve: 4y − 16 = 12. What is y?
- 32.Solve: 5(m + 7) = 50. What is m?
- 33.Solve: y/5 + 8 = 14. What is y?
- 34.Solve: m/5 + 15 = 30. What is m?
- 35.Solve: 7(m + 9) = 147. What is m?
- 36.Riya thinks of a number, multiplies it by 3 and then adds 28. The result is 64. What is the number?
- 37.Rahul thinks of a number, multiplies it by 6 and then adds 26. The result is 44. What is the number?
- 38.Solve: 8(t + 1) = 40. What is t?
- 39.Isha is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
- 40.Solve: 4y − 3 = 17. What is y?
Answer key
- 11
- 12
- 8
- 2
- 11
- 10
- 11
- 12
- 6
- 11
- 27
- 2
- 3
- 4
- 7
- 50
- 11
- 3
- 3
- 7
- 15
- 9
- 5
- 13
- 14
- 8
- 13
- 12
- 12
- 8
- 7
- 3
- 30
- 75
- 12
- 12
- 3
- 4
- 13
- 5
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