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: 6t + 20 = 104. What is t?
- 2.Meera thinks of a number, multiplies it by 9 and then adds 21. The result is 147. What is the number?
- 3.Solve: p/3 + 17 = 28. What is p?
- 4.Rohan is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
- 5.Riya thinks of a number, multiplies it by 6 and then adds 2. The result is 20. What is the number?
- 6.Solve: 3(m + 7) = 54. What is m?
- 7.Solve: 3x + 2 = 14. What is x?
- 8.Solve: 2(x + 9) = 44. What is x?
- 9.Kabir thinks of a number, multiplies it by 8 and then adds 29. The result is 109. What is the number?
- 10.Karan thinks of a number, multiplies it by 2 and then adds 2. The result is 24. What is the number?
- 11.Rohan’s mother is twice as old as Rohan. Their ages add up to 36 years. How old is Rohan?
- 12.Solve: 2(m + 1) = 28. What is m?
- 13.Solve: t/5 + 8 = 14. What is t?
- 14.Solve: 2(n + 5) = 38. What is n?
- 15.Diya thinks of a number, multiplies it by 7 and then adds 5. The result is 82. What is the number?
- 16.Solve: 4t + 26 = 62. What is t?
- 17.Solve: 7m − 2 = 61. What is m?
- 18.Solve: 3x + 24 = 27. What is x?
- 19.Solve: 3y − 1 = 2. What is y?
- 20.Rahul is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
- 21.Solve: y/4 + 19 = 33. What is y?
- 22.Solve: x/8 + 16 = 17. What is x?
- 23.Arjun thinks of a number, multiplies it by 9 and then adds 11. The result is 29. What is the number?
- 24.Solve: y/2 + 1 = 15. What is y?
- 25.Solve: 3p − 1 = 14. What is p?
- 26.Dev’s mother is three times as old as Dev. Their ages add up to 48 years. How old is Dev?
- 27.Zoya thinks of a number, multiplies it by 3 and then adds 8. The result is 44. What is the number?
- 28.Priya thinks of a number, multiplies it by 2 and then adds 30. The result is 44. What is the number?
- 29.Solve: x/4 + 12 = 16. What is x?
- 30.Solve: 7y + 10 = 24. What is y?
- 31.Priya’s mother is three times as old as Priya. Their ages add up to 20 years. How old is Priya?
- 32.Tara thinks of a number, multiplies it by 3 and then adds 27. The result is 39. What is the number?
- 33.Sneha thinks of a number, multiplies it by 2 and then adds 14. The result is 24. What is the number?
- 34.Saanvi thinks of a number, multiplies it by 6 and then adds 27. The result is 87. What is the number?
- 35.Nisha thinks of a number, multiplies it by 6 and then adds 7. The result is 13. What is the number?
- 36.Solve: 2y + 20 = 42. What is y?
- 37.Solve: 3x − 10 = 14. What is x?
- 38.Solve: 8(m + 2) = 56. What is m?
- 39.Diya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
- 40.Solve: 4m + 11 = 43. What is m?
Answer key
- 14
- 14
- 33
- 15
- 3
- 11
- 4
- 13
- 10
- 11
- 12
- 13
- 30
- 14
- 11
- 9
- 9
- 1
- 1
- 10
- 56
- 8
- 2
- 28
- 5
- 12
- 12
- 7
- 16
- 2
- 5
- 4
- 5
- 10
- 1
- 11
- 8
- 5
- 6
- 8
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