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: 9n + 27 = 72. What is n?
- 2.Solve: 8m − 7 = 73. What is m?
- 3.Solve: x/6 + 1 = 7. What is x?
- 4.Solve: m/2 + 6 = 13. What is m?
- 5.Solve: m/6 + 11 = 21. What is m?
- 6.Solve: 3(y + 8) = 36. What is y?
- 7.Zoya thinks of a number, multiplies it by 7 and then adds 20. The result is 41. What is the number?
- 8.Solve: 9x + 11 = 110. What is x?
- 9.Rahul is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
- 10.Ishaan thinks of a number, multiplies it by 3 and then adds 9. The result is 42. What is the number?
- 11.Solve: 5p − 14 = 41. What is p?
- 12.Solve: 7m − 9 = 5. What is m?
- 13.Kavya is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
- 14.Solve: 6p + 5 = 89. What is p?
- 15.Solve: 3p − 1 = 2. What is p?
- 16.Solve: y/5 + 15 = 26. What is y?
- 17.Solve: p/2 + 4 = 8. What is p?
- 18.Solve: 9y − 48 = 6. What is y?
- 19.Solve: 9n + 10 = 109. What is n?
- 20.Solve: m/6 + 4 = 5. What is m?
- 21.Solve: 7n + 18 = 25. What is n?
- 22.Solve: t/4 + 5 = 16. What is t?
- 23.Solve: 6(y + 6) = 108. What is y?
- 24.Solve: p/7 + 1 = 9. What is p?
- 25.Solve: 4y + 16 = 52. What is y?
- 26.Solve: p/6 + 2 = 14. What is p?
- 27.Solve: 9(t + 6) = 108. What is t?
- 28.Meera thinks of a number, multiplies it by 2 and then adds 28. The result is 42. What is the number?
- 29.Solve: 4p − 8 = 4. What is p?
- 30.Solve: x/6 + 19 = 23. What is x?
- 31.Aarav’s mother is three times as old as Aarav. Their ages add up to 28 years. How old is Aarav?
- 32.Solve: 3x + 3 = 21. What is x?
- 33.Solve: 6p − 2 = 64. What is p?
- 34.Lakshmi is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
- 35.Solve: 4x + 20 = 48. What is x?
- 36.Solve: 9y − 87 = 30. What is y?
- 37.Solve: t/2 + 5 = 8. What is t?
- 38.Solve: 3n − 11 = 19. What is n?
- 39.Saanvi thinks of a number, multiplies it by 5 and then adds 8. The result is 48. What is the number?
- 40.Solve: 3x + 17 = 20. What is x?
Answer key
- 5
- 10
- 36
- 14
- 60
- 4
- 3
- 11
- 12
- 11
- 11
- 2
- 8
- 14
- 1
- 55
- 8
- 6
- 11
- 6
- 1
- 44
- 12
- 56
- 9
- 72
- 6
- 7
- 3
- 24
- 7
- 6
- 11
- 7
- 7
- 13
- 6
- 10
- 8
- 1
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