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.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 32 years. How old is Saanvi?
- 2.Diya thinks of a number, multiplies it by 9 and then adds 3. The result is 93. What is the number?
- 3.Solve: m/9 + 11 = 21. What is m?
- 4.Solve: 8(n + 6) = 72. What is n?
- 5.Solve: 6(t + 7) = 102. What is t?
- 6.Tara’s mother is four times as old as Tara. Their ages add up to 50 years. How old is Tara?
- 7.Solve: m/7 + 17 = 27. What is m?
- 8.Solve: 3n + 6 = 21. What is n?
- 9.Solve: 8(m + 3) = 64. What is m?
- 10.Solve: 8m − 30 = 58. What is m?
- 11.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 70 years. How old is Saanvi?
- 12.Farhan thinks of a number, multiplies it by 7 and then adds 18. The result is 67. What is the number?
- 13.Tara thinks of a number, multiplies it by 5 and then adds 22. The result is 67. What is the number?
- 14.Solve: 2m + 8 = 20. What is m?
- 15.Solve: 7m − 67 = 24. What is m?
- 16.Solve: 3x + 7 = 25. What is x?
- 17.Karan thinks of a number, multiplies it by 3 and then adds 17. The result is 53. What is the number?
- 18.Solve: 4(p + 3) = 52. What is p?
- 19.Solve: 4t + 18 = 62. What is t?
- 20.Kabir thinks of a number, multiplies it by 5 and then adds 2. The result is 72. What is the number?
- 21.Solve: 5(y + 7) = 75. What is y?
- 22.Isha’s mother is twice as old as Isha. Their ages add up to 39 years. How old is Isha?
- 23.Solve: t/3 + 13 = 16. What is t?
- 24.Solve: 3(x + 5) = 45. What is x?
- 25.Solve: 2y + 1 = 3. What is y?
- 26.Solve: 3t + 24 = 42. What is t?
- 27.Solve: 7m − 9 = 26. What is m?
- 28.Solve: m/2 + 12 = 14. What is m?
- 29.Solve: p/7 + 16 = 18. What is p?
- 30.Solve: 6t − 28 = 50. What is t?
- 31.Priya thinks of a number, multiplies it by 4 and then adds 3. The result is 59. What is the number?
- 32.Solve: 8p − 64 = 40. What is p?
- 33.Solve: 2(y + 4) = 18. What is y?
- 34.Solve: y/3 + 18 = 20. What is y?
- 35.Solve: 9y + 26 = 35. What is y?
- 36.Solve: 5(n + 8) = 45. What is n?
- 37.Dev is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
- 38.Solve: m/2 + 12 = 13. What is m?
- 39.Solve: 3x + 6 = 42. What is x?
- 40.Arjun thinks of a number, multiplies it by 2 and then adds 6. The result is 26. What is the number?
Answer key
- 8
- 10
- 90
- 3
- 10
- 10
- 70
- 5
- 5
- 11
- 14
- 7
- 9
- 6
- 13
- 6
- 12
- 10
- 11
- 14
- 8
- 13
- 9
- 10
- 1
- 6
- 5
- 4
- 14
- 13
- 14
- 13
- 5
- 6
- 1
- 1
- 4
- 2
- 12
- 10
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