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: 8(t + 8) = 80. What is t?
- 2.Solve: 3x − 2 = 1. What is x?
- 3.Solve: m/4 + 12 = 13. What is m?
- 4.Solve: 2m + 28 = 34. What is m?
- 5.Saanvi is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
- 6.Isha is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
- 7.Solve: 2t + 9 = 37. What is t?
- 8.Solve: m/7 + 5 = 13. What is m?
- 9.Farhan thinks of a number, multiplies it by 5 and then adds 27. The result is 47. What is the number?
- 10.Solve: 2(n + 2) = 32. What is n?
- 11.Solve: x/3 + 15 = 26. What is x?
- 12.Solve: 6(m + 9) = 66. What is m?
- 13.Meera’s mother is three times as old as Meera. Their ages add up to 48 years. How old is Meera?
- 14.Solve: p/4 + 7 = 19. What is p?
- 15.Solve: 7m − 16 = 5. What is m?
- 16.Solve: 9m + 22 = 139. What is m?
- 17.Solve: 9(n + 5) = 99. What is n?
- 18.Solve: 3p + 10 = 37. What is p?
- 19.Solve: m/7 + 6 = 7. What is m?
- 20.Tara’s mother is four times as old as Tara. Their ages add up to 35 years. How old is Tara?
- 21.Zoya’s mother is twice as old as Zoya. Their ages add up to 36 years. How old is Zoya?
- 22.Solve: y/7 + 19 = 34. What is y?
- 23.Solve: t/5 + 4 = 8. What is t?
- 24.Solve: 5y + 29 = 64. What is y?
- 25.Solve: 8(m + 5) = 72. What is m?
- 26.Solve: 7t + 19 = 96. What is t?
- 27.Solve: 2t − 5 = 9. What is t?
- 28.Solve: 2x − 20 = 6. What is x?
- 29.Solve: 4n + 21 = 29. What is n?
- 30.Karan thinks of a number, multiplies it by 8 and then adds 22. The result is 102. What is the number?
- 31.Solve: 6(n + 2) = 48. What is n?
- 32.Solve: n/4 + 3 = 14. What is n?
- 33.Solve: 3x + 10 = 19. What is x?
- 34.Solve: 3n + 29 = 74. What is n?
- 35.Tara is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
- 36.Solve: 5t − 12 = 43. What is t?
- 37.Solve: 4m + 22 = 34. What is m?
- 38.Solve: 3(p + 1) = 24. What is p?
- 39.Solve: y/6 + 5 = 10. What is y?
- 40.Pooja thinks of a number, multiplies it by 4 and then adds 16. The result is 28. What is the number?
Answer key
- 2
- 1
- 4
- 3
- 10
- 8
- 14
- 56
- 4
- 14
- 33
- 2
- 12
- 48
- 3
- 13
- 6
- 9
- 7
- 7
- 12
- 105
- 20
- 7
- 4
- 11
- 7
- 13
- 2
- 10
- 6
- 44
- 3
- 15
- 13
- 11
- 3
- 7
- 30
- 3
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