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: 3p + 9 = 18. What is p?
- 2.Solve: x/2 + 13 = 23. What is x?
- 3.Solve: 3(n + 6) = 63. What is n?
- 4.Solve: 3y − 3 = 3. What is y?
- 5.Solve: m/4 + 6 = 20. What is m?
- 6.Dev thinks of a number, multiplies it by 3 and then adds 28. The result is 70. What is the number?
- 7.Priya’s mother is three times as old as Priya. Their ages add up to 28 years. How old is Priya?
- 8.Joseph thinks of a number, multiplies it by 8 and then adds 22. The result is 70. What is the number?
- 9.Solve: 8(y + 9) = 96. What is y?
- 10.Solve: t/8 + 4 = 7. What is t?
- 11.Joseph’s mother is four times as old as Joseph. Their ages add up to 60 years. How old is Joseph?
- 12.Ishaan is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
- 13.Solve: 8t + 1 = 81. What is t?
- 14.Solve: 5(p + 6) = 45. What is p?
- 15.Solve: 6t + 11 = 101. What is t?
- 16.Solve: 2n + 5 = 19. What is n?
- 17.Solve: p/3 + 15 = 19. What is p?
- 18.Solve: 4m + 13 = 53. What is m?
- 19.Solve: 3m + 23 = 26. What is m?
- 20.Aditya is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
- 21.Solve: 4t − 11 = 21. What is t?
- 22.Farhan thinks of a number, multiplies it by 5 and then adds 11. The result is 36. What is the number?
- 23.Solve: m/9 + 18 = 23. What is m?
- 24.Nisha’s mother is three times as old as Nisha. Their ages add up to 16 years. How old is Nisha?
- 25.Solve: 6m − 4 = 32. What is m?
- 26.Solve: 3n + 21 = 48. What is n?
- 27.Solve: 9t + 7 = 52. What is t?
- 28.Solve: 3(y + 1) = 30. What is y?
- 29.Solve: 7m − 3 = 11. What is m?
- 30.Solve: x/6 + 2 = 9. What is x?
- 31.Vivaan thinks of a number, multiplies it by 9 and then adds 4. The result is 76. What is the number?
- 32.Solve: 4t + 22 = 82. What is t?
- 33.Rohan’s mother is twice as old as Rohan. Their ages add up to 36 years. How old is Rohan?
- 34.Solve: n/9 + 14 = 19. What is n?
- 35.Solve: 3n + 21 = 51. What is n?
- 36.Solve: 8(x + 8) = 136. What is x?
- 37.Solve: 8(n + 5) = 136. What is n?
- 38.Solve: p/4 + 12 = 19. What is p?
- 39.Solve: m/5 + 8 = 23. What is m?
- 40.Karan is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
Answer key
- 3
- 20
- 15
- 2
- 56
- 14
- 7
- 6
- 3
- 24
- 12
- 15
- 10
- 3
- 15
- 7
- 12
- 10
- 1
- 14
- 8
- 5
- 45
- 4
- 6
- 9
- 5
- 9
- 2
- 42
- 8
- 15
- 12
- 45
- 10
- 9
- 12
- 28
- 75
- 6
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