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: 9(t + 9) = 153. What is t?
- 2.Arjun thinks of a number, multiplies it by 3 and then adds 4. The result is 25. What is the number?
- 3.Solve: m/4 + 1 = 3. What is m?
- 4.Solve: 6(x + 2) = 90. What is x?
- 5.Joseph’s mother is twice as old as Joseph. Their ages add up to 30 years. How old is Joseph?
- 6.Solve: 8(n + 4) = 120. What is n?
- 7.Solve: 5n − 28 = 37. What is n?
- 8.Solve: 5x + 12 = 42. What is x?
- 9.Solve: p/8 + 1 = 6. What is p?
- 10.Riya is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
- 11.Solve: 9(t + 8) = 162. What is t?
- 12.Solve: 4m − 41 = 19. What is m?
- 13.Solve: 2(m + 1) = 4. What is m?
- 14.Aditya thinks of a number, multiplies it by 7 and then adds 28. The result is 56. What is the number?
- 15.Solve: 2t − 1 = 1. What is t?
- 16.Solve: n/3 + 13 = 16. What is n?
- 17.Solve: 2m + 19 = 47. What is m?
- 18.Solve: 2t + 16 = 46. What is t?
- 19.Solve: 2t + 21 = 39. What is t?
- 20.Solve: 8p − 9 = 23. What is p?
- 21.Solve: 3x − 9 = 6. What is x?
- 22.Solve: 5y − 6 = 39. What is y?
- 23.Diya is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
- 24.Solve: 6x − 2 = 76. What is x?
- 25.Solve: 5m + 4 = 29. What is m?
- 26.Solve: 7t − 21 = 21. What is t?
- 27.Dev thinks of a number, multiplies it by 5 and then adds 14. The result is 64. What is the number?
- 28.Solve: 4t − 6 = 54. What is t?
- 29.Pooja thinks of a number, multiplies it by 6 and then adds 17. The result is 101. What is the number?
- 30.Vivaan is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
- 31.Solve: 4y − 4 = 16. What is y?
- 32.Solve: 6n + 17 = 107. What is n?
- 33.Solve: y/5 + 6 = 7. What is y?
- 34.Ananya is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
- 35.Solve: 2y − 7 = 11. What is y?
- 36.Solve: 2n − 2 = 28. What is n?
- 37.Solve: 5n − 14 = 41. What is n?
- 38.Solve: 6x + 18 = 48. What is x?
- 39.Pooja thinks of a number, multiplies it by 2 and then adds 5. The result is 35. What is the number?
- 40.Solve: 3x − 5 = 1. What is x?
Answer key
- 8
- 7
- 8
- 13
- 10
- 11
- 13
- 6
- 40
- 15
- 10
- 15
- 1
- 4
- 1
- 9
- 14
- 15
- 9
- 4
- 5
- 9
- 5
- 13
- 5
- 6
- 10
- 15
- 14
- 6
- 5
- 15
- 5
- 15
- 9
- 15
- 11
- 5
- 15
- 2
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