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: m/9 + 6 = 10. What is m?
- 2.Solve: 4(p + 9) = 84. What is p?
- 3.Pooja thinks of a number, multiplies it by 3 and then adds 6. The result is 45. What is the number?
- 4.Solve: 2m − 5 = 23. What is m?
- 5.Solve: n/2 + 14 = 22. What is n?
- 6.Manav’s mother is three times as old as Manav. Their ages add up to 16 years. How old is Manav?
- 7.Solve: 5p + 15 = 30. What is p?
- 8.Solve: n/2 + 15 = 24. What is n?
- 9.Solve: 8x − 7 = 1. What is x?
- 10.Solve: x/9 + 9 = 23. What is x?
- 11.Solve: 9p − 18 = 18. What is p?
- 12.Solve: 2t − 1 = 5. What is t?
- 13.Ananya thinks of a number, multiplies it by 2 and then adds 7. The result is 17. What is the number?
- 14.Solve: 9y + 24 = 33. What is y?
- 15.Solve: 5y − 10 = 55. What is y?
- 16.Priya’s mother is twice as old as Priya. Their ages add up to 45 years. How old is Priya?
- 17.Solve: 3(t + 5) = 57. What is t?
- 18.Solve: 4p + 9 = 41. What is p?
- 19.Solve: 3t + 26 = 50. What is t?
- 20.Solve: 4x + 26 = 78. What is x?
- 21.Solve: 4(n + 6) = 76. What is n?
- 22.Solve: n/2 + 5 = 17. What is n?
- 23.Solve: 7(y + 9) = 126. What is y?
- 24.Diya thinks of a number, multiplies it by 9 and then adds 15. The result is 42. What is the number?
- 25.Karan thinks of a number, multiplies it by 8 and then adds 9. The result is 81. What is the number?
- 26.Solve: 9(p + 8) = 198. What is p?
- 27.Solve: 4x + 17 = 21. What is x?
- 28.Solve: n/8 + 19 = 23. What is n?
- 29.Solve: 7m + 10 = 52. What is m?
- 30.Solve: 3x + 30 = 60. What is x?
- 31.Priya’s mother is twice as old as Priya. Their ages add up to 18 years. How old is Priya?
- 32.Solve: 2t − 2 = 2. What is t?
- 33.Solve: 5y − 39 = 36. What is y?
- 34.Rahul thinks of a number, multiplies it by 4 and then adds 21. The result is 37. What is the number?
- 35.Kabir thinks of a number, multiplies it by 7 and then adds 17. The result is 73. What is the number?
- 36.Solve: m/2 + 7 = 16. What is m?
- 37.Solve: p/3 + 6 = 14. What is p?
- 38.Solve: 6n − 50 = 28. What is n?
- 39.Solve: n/9 + 17 = 30. What is n?
- 40.Solve: 5(x + 1) = 30. What is x?
Answer key
- 36
- 12
- 13
- 14
- 16
- 4
- 3
- 18
- 1
- 126
- 4
- 3
- 5
- 1
- 13
- 15
- 14
- 8
- 8
- 13
- 13
- 24
- 9
- 3
- 9
- 14
- 1
- 32
- 6
- 10
- 6
- 2
- 15
- 4
- 8
- 18
- 24
- 13
- 117
- 5
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