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: 3x + 18 = 30. What is x?
- 2.Solve: 4n − 4 = 4. What is n?
- 3.Solve: 5t − 9 = 16. What is t?
- 4.Joseph is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
- 5.Solve: 3p + 21 = 48. What is p?
- 6.Ishaan thinks of a number, multiplies it by 4 and then adds 13. The result is 61. What is the number?
- 7.Arjun thinks of a number, multiplies it by 9 and then adds 26. The result is 143. What is the number?
- 8.Kavya thinks of a number, multiplies it by 4 and then adds 18. The result is 26. What is the number?
- 9.Solve: t/5 + 6 = 7. What is t?
- 10.Solve: 5p − 4 = 61. What is p?
- 11.Solve: 9n + 22 = 58. What is n?
- 12.Solve: 2(t + 9) = 20. What is t?
- 13.Rahul thinks of a number, multiplies it by 7 and then adds 26. The result is 131. What is the number?
- 14.Joseph’s mother is twice as old as Joseph. Their ages add up to 42 years. How old is Joseph?
- 15.Solve: 2p + 6 = 16. What is p?
- 16.Solve: 2n + 15 = 31. What is n?
- 17.Solve: 8p − 39 = 33. What is p?
- 18.Solve: 7n + 4 = 32. What is n?
- 19.Solve: 9(y + 2) = 126. What is y?
- 20.Tara’s mother is four times as old as Tara. Their ages add up to 30 years. How old is Tara?
- 21.Solve: 2p − 1 = 1. What is p?
- 22.Solve: 8n + 2 = 26. What is n?
- 23.Solve: 8(x + 3) = 64. What is x?
- 24.Solve: p/2 + 10 = 16. What is p?
- 25.Farhan’s mother is four times as old as Farhan. Their ages add up to 25 years. How old is Farhan?
- 26.Kabir thinks of a number, multiplies it by 7 and then adds 29. The result is 106. What is the number?
- 27.Kavya is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
- 28.Solve: 6n − 26 = 34. What is n?
- 29.Kabir is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
- 30.Solve: 2m + 6 = 8. What is m?
- 31.Solve: 5x + 16 = 51. What is x?
- 32.Solve: 9m + 23 = 86. What is m?
- 33.Solve: 2t − 6 = 2. What is t?
- 34.Kabir is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
- 35.Solve: x/7 + 5 = 9. What is x?
- 36.Solve: 3x + 18 = 48. What is x?
- 37.Kabir’s mother is four times as old as Kabir. Their ages add up to 70 years. How old is Kabir?
- 38.Solve: 6(t + 4) = 54. What is t?
- 39.Solve: m/5 + 18 = 23. What is m?
- 40.Arjun is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
Answer key
- 4
- 2
- 5
- 4
- 9
- 12
- 13
- 2
- 5
- 13
- 4
- 1
- 15
- 14
- 5
- 8
- 9
- 4
- 12
- 6
- 1
- 3
- 5
- 12
- 5
- 11
- 15
- 10
- 5
- 1
- 7
- 7
- 4
- 11
- 28
- 10
- 14
- 5
- 25
- 8
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