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: p/5 + 6 = 11. What is p?
- 2.Joseph thinks of a number, multiplies it by 7 and then adds 13. The result is 20. What is the number?
- 3.Solve: 5t + 1 = 11. What is t?
- 4.Solve: 5m + 1 = 21. What is m?
- 5.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 20 years. How old is Ishaan?
- 6.Gurpreet thinks of a number, multiplies it by 4 and then adds 1. The result is 57. What is the number?
- 7.Solve: 3y + 30 = 42. What is y?
- 8.Solve: 9m + 6 = 60. What is m?
- 9.Solve: 5(t + 4) = 40. What is t?
- 10.Solve: n/8 + 11 = 14. What is n?
- 11.Sneha is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
- 12.Solve: 2t − 16 = 8. What is t?
- 13.Meera’s mother is four times as old as Meera. Their ages add up to 20 years. How old is Meera?
- 14.Solve: 4(m + 5) = 24. What is m?
- 15.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 75 years. How old is Vivaan?
- 16.Meera’s mother is three times as old as Meera. Their ages add up to 20 years. How old is Meera?
- 17.Solve: x/6 + 8 = 14. What is x?
- 18.Gurpreet thinks of a number, multiplies it by 3 and then adds 28. The result is 70. What is the number?
- 19.Solve: 8y − 69 = 19. What is y?
- 20.Solve: 9n + 2 = 101. What is n?
- 21.Solve: 6(y + 7) = 114. What is y?
- 22.Tara thinks of a number, multiplies it by 2 and then adds 11. The result is 27. What is the number?
- 23.Riya thinks of a number, multiplies it by 5 and then adds 29. The result is 74. What is the number?
- 24.Solve: n/3 + 14 = 21. What is n?
- 25.Solve: 7y + 15 = 22. What is y?
- 26.Solve: 6x + 30 = 48. What is x?
- 27.Solve: 6y − 31 = 23. What is y?
- 28.Vivaan thinks of a number, multiplies it by 6 and then adds 13. The result is 25. What is the number?
- 29.Solve: x/4 + 9 = 12. What is x?
- 30.Solve: 3(n + 2) = 18. What is n?
- 31.Diya thinks of a number, multiplies it by 3 and then adds 4. The result is 19. What is the number?
- 32.Solve: 2t + 21 = 45. What is t?
- 33.Kabir’s mother is three times as old as Kabir. Their ages add up to 56 years. How old is Kabir?
- 34.Arjun’s mother is four times as old as Arjun. Their ages add up to 60 years. How old is Arjun?
- 35.Solve: t/4 + 2 = 6. What is t?
- 36.Solve: 8y + 28 = 116. What is y?
- 37.Pooja thinks of a number, multiplies it by 3 and then adds 21. The result is 60. What is the number?
- 38.Solve: 4x − 37 = 23. What is x?
- 39.Aditya thinks of a number, multiplies it by 2 and then adds 28. The result is 36. What is the number?
- 40.Vivaan is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
Answer key
- 25
- 1
- 2
- 4
- 5
- 14
- 4
- 6
- 4
- 24
- 7
- 12
- 4
- 1
- 15
- 5
- 36
- 14
- 11
- 11
- 12
- 8
- 9
- 21
- 1
- 3
- 9
- 2
- 12
- 4
- 5
- 12
- 14
- 12
- 16
- 11
- 13
- 15
- 4
- 4
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