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: 4x − 21 = 15. What is x?
- 2.Ananya’s mother is three times as old as Ananya. Their ages add up to 16 years. How old is Ananya?
- 3.Solve: y/3 + 4 = 9. What is y?
- 4.Solve: 5(n + 2) = 60. What is n?
- 5.Isha is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
- 6.Solve: 6p + 29 = 113. What is p?
- 7.Solve: y/7 + 2 = 9. What is y?
- 8.Solve: 4(y + 3) = 16. What is y?
- 9.Solve: 9y − 31 = 50. What is y?
- 10.Solve: 2m + 12 = 16. What is m?
- 11.Arjun is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
- 12.Meera’s mother is three times as old as Meera. Their ages add up to 32 years. How old is Meera?
- 13.Solve: 5x + 18 = 43. What is x?
- 14.Solve: 6m + 30 = 78. What is m?
- 15.Solve: 4x − 4 = 24. What is x?
- 16.Solve: 6n + 8 = 74. What is n?
- 17.Rahul is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
- 18.Solve: 9m − 22 = 14. What is m?
- 19.Solve: y/5 + 8 = 22. What is y?
- 20.Solve: 3t − 26 = 19. What is t?
- 21.Solve: 8(y + 3) = 88. What is y?
- 22.Solve: 5t + 2 = 72. What is t?
- 23.Saanvi is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
- 24.Solve: 6x + 15 = 105. What is x?
- 25.Solve: n/3 + 19 = 25. What is n?
- 26.Rahul’s mother is four times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
- 27.Solve: 8(y + 2) = 64. What is y?
- 28.Solve: m/4 + 18 = 26. What is m?
- 29.Solve: 3x − 9 = 6. What is x?
- 30.Solve: 8x + 27 = 91. What is x?
- 31.Isha is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
- 32.Gurpreet is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
- 33.Solve: y/6 + 11 = 23. What is y?
- 34.Solve: 4t + 4 = 24. What is t?
- 35.Solve: 3y + 25 = 52. What is y?
- 36.Solve: p/9 + 4 = 10. What is p?
- 37.Solve: 3y − 13 = 32. What is y?
- 38.Rohan thinks of a number, multiplies it by 3 and then adds 30. The result is 72. What is the number?
- 39.Solve: 8(x + 2) = 48. What is x?
- 40.Solve: 5(n + 5) = 35. What is n?
Answer key
- 9
- 4
- 15
- 10
- 5
- 14
- 49
- 1
- 9
- 2
- 5
- 8
- 5
- 8
- 7
- 11
- 6
- 4
- 70
- 15
- 8
- 14
- 11
- 15
- 18
- 4
- 6
- 32
- 5
- 8
- 4
- 4
- 72
- 5
- 9
- 54
- 15
- 14
- 4
- 2
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