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: x/6 + 3 = 11. What is x?
- 2.Solve: x/8 + 14 = 28. What is x?
- 3.Solve: 4(x + 5) = 48. What is x?
- 4.Rohan thinks of a number, multiplies it by 5 and then adds 6. The result is 46. What is the number?
- 5.Pooja’s mother is twice as old as Pooja. Their ages add up to 42 years. How old is Pooja?
- 6.Dev is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
- 7.Solve: 5y − 13 = 2. What is y?
- 8.Joseph thinks of a number, multiplies it by 5 and then adds 23. The result is 28. What is the number?
- 9.Solve: 3n + 5 = 44. What is n?
- 10.Aarav’s mother is four times as old as Aarav. Their ages add up to 50 years. How old is Aarav?
- 11.Solve: 7t + 10 = 52. What is t?
- 12.Solve: 4m + 4 = 32. What is m?
- 13.Solve: 3(p + 7) = 30. What is p?
- 14.Gurpreet thinks of a number, multiplies it by 2 and then adds 4. The result is 16. What is the number?
- 15.Riya is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
- 16.Solve: t/6 + 1 = 5. What is t?
- 17.Solve: 3(m + 5) = 48. What is m?
- 18.Solve: 8(m + 7) = 72. What is m?
- 19.Isha thinks of a number, multiplies it by 8 and then adds 14. The result is 54. What is the number?
- 20.Solve: 8y − 50 = 14. What is y?
- 21.Solve: 5x − 14 = 26. What is x?
- 22.Isha is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
- 23.Solve: 2(p + 7) = 32. What is p?
- 24.Solve: m/4 + 7 = 20. What is m?
- 25.Solve: 6(y + 2) = 54. What is y?
- 26.Solve: 6x + 7 = 73. What is x?
- 27.Tara’s mother is three times as old as Tara. Their ages add up to 20 years. How old is Tara?
- 28.Solve: 2p + 9 = 13. What is p?
- 29.Solve: 5x − 1 = 19. What is x?
- 30.Solve: 6(m + 1) = 54. What is m?
- 31.Solve: 2n + 22 = 38. What is n?
- 32.Solve: 6(t + 7) = 102. What is t?
- 33.Aditya is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
- 34.Riya thinks of a number, multiplies it by 3 and then adds 17. The result is 59. What is the number?
- 35.Riya is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
- 36.Kavya thinks of a number, multiplies it by 4 and then adds 4. The result is 44. What is the number?
- 37.Nisha is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
- 38.Solve: 5x + 11 = 66. What is x?
- 39.Meera’s mother is twice as old as Meera. Their ages add up to 36 years. How old is Meera?
- 40.Solve: 8(n + 5) = 48. What is n?
Answer key
- 48
- 112
- 7
- 8
- 14
- 4
- 3
- 1
- 13
- 10
- 6
- 7
- 3
- 6
- 13
- 24
- 11
- 2
- 5
- 8
- 8
- 12
- 9
- 52
- 7
- 11
- 5
- 2
- 4
- 8
- 8
- 10
- 7
- 14
- 5
- 10
- 13
- 11
- 12
- 1
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