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: m/7 + 18 = 19. What is m?
- 2.Ananya thinks of a number, multiplies it by 2 and then adds 7. The result is 15. What is the number?
- 3.Solve: 3y − 2 = 4. What is y?
- 4.Solve: m/8 + 11 = 21. What is m?
- 5.Isha thinks of a number, multiplies it by 3 and then adds 3. The result is 12. What is the number?
- 6.Priya’s mother is three times as old as Priya. Their ages add up to 32 years. How old is Priya?
- 7.Aarav thinks of a number, multiplies it by 7 and then adds 19. The result is 82. What is the number?
- 8.Solve: x/3 + 13 = 15. What is x?
- 9.Zoya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
- 10.Solve: t/5 + 16 = 28. What is t?
- 11.Solve: 8p − 15 = 89. What is p?
- 12.Solve: 6x + 30 = 48. What is x?
- 13.Solve: 4t + 10 = 46. What is t?
- 14.Aarav thinks of a number, multiplies it by 3 and then adds 19. The result is 46. What is the number?
- 15.Solve: 9(x + 9) = 153. What is x?
- 16.Solve: y/6 + 19 = 30. What is y?
- 17.Solve: 9p − 2 = 7. What is p?
- 18.Solve: 9(m + 1) = 126. What is m?
- 19.Solve: 9p + 6 = 15. What is p?
- 20.Solve: 8n − 9 = 111. What is n?
- 21.Solve: t/8 + 2 = 14. What is t?
- 22.Solve: 6y + 29 = 89. What is y?
- 23.Solve: 7m + 22 = 92. What is m?
- 24.Solve: 2m − 1 = 5. What is m?
- 25.Solve: 5y + 5 = 80. What is y?
- 26.Solve: 7(t + 8) = 112. What is t?
- 27.Solve: 6t + 5 = 71. What is t?
- 28.Solve: x/4 + 3 = 16. What is x?
- 29.Farhan is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
- 30.Tara is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
- 31.Solve: p/5 + 19 = 23. What is p?
- 32.Solve: 6m − 5 = 79. What is m?
- 33.Solve: n/5 + 4 = 16. What is n?
- 34.Solve: 4(m + 2) = 16. What is m?
- 35.Solve: x/6 + 10 = 20. What is x?
- 36.Solve: 3x − 5 = 19. What is x?
- 37.Solve: 9(p + 7) = 117. What is p?
- 38.Solve: 5n + 3 = 58. What is n?
- 39.Aditya is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
- 40.Solve: t/9 + 12 = 14. What is t?
Answer key
- 7
- 4
- 2
- 80
- 3
- 8
- 9
- 6
- 6
- 60
- 13
- 3
- 9
- 9
- 8
- 66
- 1
- 13
- 1
- 15
- 96
- 10
- 10
- 3
- 15
- 8
- 11
- 52
- 13
- 4
- 20
- 14
- 60
- 2
- 60
- 8
- 6
- 11
- 4
- 18
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