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: 3(y + 3) = 39. What is y?
- 2.Solve: 3x + 5 = 26. What is x?
- 3.Solve: 5p + 16 = 41. What is p?
- 4.Priya thinks of a number, multiplies it by 2 and then adds 4. The result is 22. What is the number?
- 5.Solve: 5x + 5 = 60. What is x?
- 6.Tara thinks of a number, multiplies it by 4 and then adds 19. The result is 59. What is the number?
- 7.Solve: 5(m + 1) = 55. What is m?
- 8.Karan thinks of a number, multiplies it by 7 and then adds 10. The result is 45. What is the number?
- 9.Solve: 9(x + 6) = 144. What is x?
- 10.Aarav thinks of a number, multiplies it by 9 and then adds 7. The result is 16. What is the number?
- 11.Solve: 2(x + 8) = 34. What is x?
- 12.Solve: 3m + 19 = 25. What is m?
- 13.Solve: 5p − 2 = 13. What is p?
- 14.Solve: 6n − 47 = 31. What is n?
- 15.Tara thinks of a number, multiplies it by 3 and then adds 22. The result is 37. What is the number?
- 16.Solve: 2n − 6 = 24. What is n?
- 17.Solve: 3n + 10 = 31. What is n?
- 18.Solve: 8(y + 1) = 32. What is y?
- 19.Tara thinks of a number, multiplies it by 9 and then adds 25. The result is 88. What is the number?
- 20.Solve: p/5 + 4 = 18. What is p?
- 21.Solve: y/4 + 10 = 18. What is y?
- 22.Solve: 3m − 1 = 8. What is m?
- 23.Solve: 6x − 23 = 1. What is x?
- 24.Solve: 3n + 25 = 34. What is n?
- 25.Aditya is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
- 26.Gurpreet thinks of a number, multiplies it by 7 and then adds 11. The result is 32. What is the number?
- 27.Solve: y/8 + 17 = 25. What is y?
- 28.Solve: 6(x + 7) = 126. What is x?
- 29.Kabir thinks of a number, multiplies it by 2 and then adds 7. The result is 33. What is the number?
- 30.Solve: 5(n + 9) = 55. What is n?
- 31.Rohan is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
- 32.Isha is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
- 33.Solve: n/5 + 6 = 11. What is n?
- 34.Solve: 4m + 19 = 47. What is m?
- 35.Solve: 8p + 26 = 130. What is p?
- 36.Tara’s mother is three times as old as Tara. Their ages add up to 36 years. How old is Tara?
- 37.Solve: 7(x + 4) = 35. What is x?
- 38.Solve: 9p − 2 = 25. What is p?
- 39.Solve: 9(m + 4) = 90. What is m?
- 40.Solve: 8p − 9 = 47. What is p?
Answer key
- 10
- 7
- 5
- 9
- 11
- 10
- 10
- 5
- 10
- 1
- 9
- 2
- 3
- 13
- 5
- 15
- 7
- 3
- 7
- 70
- 32
- 3
- 4
- 3
- 10
- 3
- 64
- 14
- 13
- 2
- 11
- 4
- 25
- 7
- 13
- 9
- 1
- 3
- 6
- 7
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