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: 4m − 18 = 38. What is m?
- 2.Solve: 7p − 59 = 25. What is p?
- 3.Meera’s mother is twice as old as Meera. Their ages add up to 33 years. How old is Meera?
- 4.Solve: 4n + 13 = 61. What is n?
- 5.Solve: 4p + 23 = 83. What is p?
- 6.Solve: 6x − 10 = 32. What is x?
- 7.Solve: n/4 + 20 = 24. What is n?
- 8.Solve: 5y + 7 = 42. What is y?
- 9.Arjun thinks of a number, multiplies it by 6 and then adds 27. The result is 51. What is the number?
- 10.Solve: y/8 + 17 = 22. What is y?
- 11.Meera thinks of a number, multiplies it by 6 and then adds 8. The result is 98. What is the number?
- 12.Zoya thinks of a number, multiplies it by 5 and then adds 29. The result is 44. What is the number?
- 13.Solve: 4m + 24 = 32. What is m?
- 14.Solve: x/6 + 6 = 14. What is x?
- 15.Solve: 6y + 5 = 17. What is y?
- 16.Solve: m/5 + 15 = 26. What is m?
- 17.Solve: 4(n + 1) = 36. What is n?
- 18.Arjun thinks of a number, multiplies it by 5 and then adds 6. The result is 81. What is the number?
- 19.Ishaan thinks of a number, multiplies it by 9 and then adds 3. The result is 84. What is the number?
- 20.Solve: 3(p + 1) = 9. What is p?
- 21.Tara’s mother is twice as old as Tara. Their ages add up to 24 years. How old is Tara?
- 22.Solve: x/9 + 8 = 13. What is x?
- 23.Solve: m/4 + 4 = 16. What is m?
- 24.Solve: 2p + 24 = 40. What is p?
- 25.Solve: 4n + 17 = 33. What is n?
- 26.Solve: 6t + 15 = 57. What is t?
- 27.Solve: n/7 + 3 = 17. What is n?
- 28.Solve: 3p + 5 = 26. What is p?
- 29.Solve: 9y + 30 = 120. What is y?
- 30.Vivaan thinks of a number, multiplies it by 7 and then adds 8. The result is 106. What is the number?
- 31.Solve: 7n + 26 = 54. What is n?
- 32.Solve: 4m − 3 = 1. What is m?
- 33.Solve: 2(t + 7) = 18. What is t?
- 34.Solve: 2p + 15 = 37. What is p?
- 35.Solve: m/8 + 10 = 15. What is m?
- 36.Solve: 2y − 11 = 15. What is y?
- 37.Dev thinks of a number, multiplies it by 7 and then adds 29. The result is 50. What is the number?
- 38.Solve: 5m − 3 = 2. What is m?
- 39.Solve: 8t + 19 = 27. What is t?
- 40.Pooja is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
Answer key
- 14
- 12
- 11
- 12
- 15
- 7
- 16
- 7
- 4
- 40
- 15
- 3
- 2
- 48
- 2
- 55
- 8
- 15
- 9
- 2
- 8
- 45
- 48
- 8
- 4
- 7
- 98
- 7
- 10
- 14
- 4
- 1
- 2
- 11
- 40
- 13
- 3
- 1
- 1
- 9
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