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: 2(t + 2) = 6. What is t?
- 2.Solve: 3t + 8 = 44. What is t?
- 3.Aditya’s mother is four times as old as Aditya. Their ages add up to 45 years. How old is Aditya?
- 4.Solve: 8y − 73 = 15. What is y?
- 5.Solve: 2m − 2 = 12. What is m?
- 6.Solve: 5x + 27 = 87. What is x?
- 7.Solve: 8t + 15 = 95. What is t?
- 8.Priya thinks of a number, multiplies it by 3 and then adds 11. The result is 20. What is the number?
- 9.Manav is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
- 10.Solve: y/8 + 11 = 14. What is y?
- 11.Dev thinks of a number, multiplies it by 6 and then adds 9. The result is 57. What is the number?
- 12.Solve: 8(n + 6) = 72. What is n?
- 13.Solve: 6m + 4 = 64. What is m?
- 14.Solve: 8p − 1 = 119. What is p?
- 15.Rahul thinks of a number, multiplies it by 5 and then adds 25. The result is 80. What is the number?
- 16.Solve: 5p + 29 = 89. What is p?
- 17.Solve: n/8 + 3 = 8. What is n?
- 18.Solve: 4t + 16 = 44. What is t?
- 19.Aarav’s mother is four times as old as Aarav. Their ages add up to 75 years. How old is Aarav?
- 20.Lakshmi thinks of a number, multiplies it by 2 and then adds 25. The result is 33. What is the number?
- 21.Tara is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
- 22.Rahul is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
- 23.Manav thinks of a number, multiplies it by 5 and then adds 8. The result is 73. What is the number?
- 24.Solve: 7(n + 9) = 84. What is n?
- 25.Solve: 3(n + 7) = 36. What is n?
- 26.Solve: 7(t + 3) = 70. What is t?
- 27.Solve: 4n − 5 = 7. What is n?
- 28.Zoya thinks of a number, multiplies it by 7 and then adds 12. The result is 40. What is the number?
- 29.Solve: 9x + 13 = 22. What is x?
- 30.Sneha’s mother is three times as old as Sneha. Their ages add up to 52 years. How old is Sneha?
- 31.Solve: 5(p + 7) = 90. What is p?
- 32.Solve: 6m + 18 = 24. What is m?
- 33.Solve: 8(x + 6) = 80. What is x?
- 34.Isha thinks of a number, multiplies it by 4 and then adds 8. The result is 20. What is the number?
- 35.Solve: 7t − 18 = 31. What is t?
- 36.Solve: 7n + 24 = 122. What is n?
- 37.Solve: 2p + 7 = 11. What is p?
- 38.Solve: 4(y + 4) = 68. What is y?
- 39.Solve: m/6 + 11 = 24. What is m?
- 40.Solve: 4n + 9 = 65. What is n?
Answer key
- 1
- 12
- 9
- 11
- 7
- 12
- 10
- 3
- 15
- 24
- 8
- 3
- 10
- 15
- 11
- 12
- 40
- 7
- 15
- 4
- 14
- 14
- 13
- 3
- 5
- 7
- 3
- 4
- 1
- 13
- 11
- 1
- 4
- 3
- 7
- 14
- 2
- 13
- 78
- 14
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