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: 5p − 26 = 9. What is p?
- 2.Rahul is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
- 3.Solve: 6m − 55 = 29. What is m?
- 4.Nisha thinks of a number, multiplies it by 4 and then adds 5. The result is 13. What is the number?
- 5.Solve: 6(x + 3) = 90. What is x?
- 6.Farhan is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
- 7.Karan thinks of a number, multiplies it by 2 and then adds 27. The result is 47. What is the number?
- 8.Solve: 5p + 1 = 31. What is p?
- 9.Sneha thinks of a number, multiplies it by 9 and then adds 13. The result is 139. What is the number?
- 10.Solve: 8n − 32 = 32. What is n?
- 11.Solve: 8(t + 7) = 64. What is t?
- 12.Solve: n/7 + 13 = 23. What is n?
- 13.Solve: 5x − 43 = 2. What is x?
- 14.Solve: 5(n + 4) = 60. What is n?
- 15.Karan is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
- 16.Solve: 5t − 28 = 42. What is t?
- 17.Sneha’s mother is twice as old as Sneha. Their ages add up to 45 years. How old is Sneha?
- 18.Solve: 5x − 21 = 24. What is x?
- 19.Solve: 3(m + 2) = 12. What is m?
- 20.Solve: y/2 + 2 = 7. What is y?
- 21.Solve: 2(x + 1) = 10. What is x?
- 22.Solve: 9(p + 7) = 117. What is p?
- 23.Aditya thinks of a number, multiplies it by 7 and then adds 14. The result is 21. What is the number?
- 24.Solve: y/5 + 6 = 19. What is y?
- 25.Solve: t/5 + 10 = 12. What is t?
- 26.Solve: y/4 + 12 = 19. What is y?
- 27.Riya is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
- 28.Solve: 6y − 14 = 28. What is y?
- 29.Solve: t/5 + 11 = 12. What is t?
- 30.Solve: 6n − 1 = 41. What is n?
- 31.Solve: 7(y + 7) = 154. What is y?
- 32.Tara is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
- 33.Solve: 6m − 19 = 53. What is m?
- 34.Solve: 7(y + 8) = 133. What is y?
- 35.Solve: 3y − 4 = 5. What is y?
- 36.Solve: p/9 + 6 = 9. What is p?
- 37.Solve: 4n − 6 = 6. What is n?
- 38.Meera thinks of a number, multiplies it by 4 and then adds 16. The result is 72. What is the number?
- 39.Pooja thinks of a number, multiplies it by 3 and then adds 26. The result is 68. What is the number?
- 40.Solve: 7t + 20 = 34. What is t?
Answer key
- 7
- 11
- 14
- 2
- 12
- 11
- 10
- 6
- 14
- 8
- 1
- 70
- 9
- 8
- 12
- 14
- 15
- 9
- 2
- 10
- 4
- 6
- 1
- 65
- 10
- 28
- 5
- 7
- 5
- 7
- 15
- 5
- 12
- 11
- 3
- 27
- 3
- 14
- 14
- 2
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