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.Gurpreet thinks of a number, multiplies it by 3 and then adds 23. The result is 44. What is the number?
- 2.Kavya is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
- 3.Solve: x/6 + 19 = 32. What is x?
- 4.Solve: 2(p + 2) = 6. What is p?
- 5.Solve: t/9 + 1 = 12. What is t?
- 6.Solve: 4(n + 7) = 76. What is n?
- 7.Solve: 3(y + 8) = 42. What is y?
- 8.Solve: 2(n + 5) = 14. What is n?
- 9.Ananya is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
- 10.Solve: 5m + 29 = 84. What is m?
- 11.Solve: t/3 + 8 = 10. What is t?
- 12.Solve: 3(y + 7) = 39. What is y?
- 13.Kabir is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
- 14.Solve: 9m + 22 = 130. What is m?
- 15.Sneha’s mother is three times as old as Sneha. Their ages add up to 16 years. How old is Sneha?
- 16.Farhan thinks of a number, multiplies it by 2 and then adds 5. The result is 9. What is the number?
- 17.Solve: 4y − 13 = 35. What is y?
- 18.Solve: 2p + 11 = 33. What is p?
- 19.Kabir thinks of a number, multiplies it by 8 and then adds 16. The result is 72. What is the number?
- 20.Solve: t/9 + 15 = 26. What is t?
- 21.Solve: t/2 + 10 = 16. What is t?
- 22.Solve: 7t − 11 = 73. What is t?
- 23.Diya thinks of a number, multiplies it by 5 and then adds 24. The result is 29. What is the number?
- 24.Solve: m/6 + 18 = 30. What is m?
- 25.Zoya’s mother is twice as old as Zoya. Their ages add up to 21 years. How old is Zoya?
- 26.Pooja’s mother is three times as old as Pooja. Their ages add up to 36 years. How old is Pooja?
- 27.Isha thinks of a number, multiplies it by 6 and then adds 29. The result is 77. What is the number?
- 28.Solve: 2t − 15 = 11. What is t?
- 29.Solve: 3(x + 5) = 18. What is x?
- 30.Solve: 8m − 15 = 1. What is m?
- 31.Solve: 5t + 26 = 101. What is t?
- 32.Solve: m/2 + 4 = 11. What is m?
- 33.Solve: 6x + 19 = 109. What is x?
- 34.Tara thinks of a number, multiplies it by 5 and then adds 20. The result is 65. What is the number?
- 35.Solve: 4(m + 6) = 56. What is m?
- 36.Solve: 2y − 1 = 1. What is y?
- 37.Solve: 6y + 6 = 12. What is y?
- 38.Solve: 8(m + 3) = 112. What is m?
- 39.Solve: 5t − 13 = 52. What is t?
- 40.Priya is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
Answer key
- 7
- 11
- 78
- 1
- 99
- 12
- 6
- 2
- 15
- 11
- 6
- 6
- 6
- 12
- 4
- 2
- 12
- 11
- 7
- 99
- 12
- 12
- 1
- 72
- 7
- 9
- 8
- 13
- 1
- 2
- 15
- 14
- 15
- 9
- 8
- 1
- 1
- 11
- 13
- 5
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