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.Manav thinks of a number, multiplies it by 6 and then adds 26. The result is 38. What is the number?
- 2.Solve: 8(t + 3) = 40. What is t?
- 3.Solve: 4x + 19 = 75. What is x?
- 4.Tara thinks of a number, multiplies it by 3 and then adds 29. The result is 62. What is the number?
- 5.Kavya is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
- 6.Rohan thinks of a number, multiplies it by 5 and then adds 2. The result is 32. What is the number?
- 7.Solve: 4n − 10 = 10. What is n?
- 8.Solve: 8x + 24 = 32. What is x?
- 9.Saanvi thinks of a number, multiplies it by 8 and then adds 4. The result is 36. What is the number?
- 10.Solve: 9y + 30 = 66. What is y?
- 11.Solve: 3x + 10 = 55. What is x?
- 12.Tara is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
- 13.Lakshmi is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
- 14.Ishaan thinks of a number, multiplies it by 9 and then adds 2. The result is 38. What is the number?
- 15.Solve: 9y + 30 = 39. What is y?
- 16.Solve: 8(y + 9) = 88. What is y?
- 17.Solve: 6(p + 4) = 42. What is p?
- 18.Solve: 4(y + 2) = 16. What is y?
- 19.Zoya’s mother is twice as old as Zoya. Their ages add up to 42 years. How old is Zoya?
- 20.Solve: 9x − 11 = 88. What is x?
- 21.Solve: 6(y + 1) = 78. What is y?
- 22.Solve: p/6 + 20 = 27. What is p?
- 23.Solve: 6m + 16 = 22. What is m?
- 24.Solve: 3(p + 1) = 33. What is p?
- 25.Solve: 9y − 10 = 107. What is y?
- 26.Pooja thinks of a number, multiplies it by 6 and then adds 2. The result is 50. What is the number?
- 27.Gurpreet thinks of a number, multiplies it by 4 and then adds 26. The result is 78. What is the number?
- 28.Gurpreet thinks of a number, multiplies it by 6 and then adds 15. The result is 45. What is the number?
- 29.Solve: 8(p + 6) = 152. What is p?
- 30.Solve: 2(x + 9) = 44. What is x?
- 31.Solve: 4x + 11 = 51. What is x?
- 32.Aditya’s mother is three times as old as Aditya. Their ages add up to 24 years. How old is Aditya?
- 33.Solve: 2y − 5 = 5. What is y?
- 34.Solve: 7x − 9 = 19. What is x?
- 35.Solve: 7(y + 6) = 147. What is y?
- 36.Farhan thinks of a number, multiplies it by 8 and then adds 13. The result is 101. What is the number?
- 37.Solve: 8t − 9 = 71. What is t?
- 38.Solve: p/3 + 18 = 28. What is p?
- 39.Solve: t/7 + 12 = 15. What is t?
- 40.Solve: m/7 + 20 = 22. What is m?
Answer key
- 2
- 2
- 14
- 11
- 5
- 6
- 5
- 1
- 4
- 4
- 15
- 12
- 5
- 4
- 1
- 2
- 3
- 2
- 14
- 11
- 12
- 42
- 1
- 10
- 13
- 8
- 13
- 5
- 13
- 13
- 10
- 6
- 5
- 4
- 15
- 11
- 10
- 30
- 21
- 14
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