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: 2n + 16 = 46. What is n?
- 2.Solve: 4(x + 6) = 84. What is x?
- 3.Manav’s mother is three times as old as Manav. Their ages add up to 16 years. How old is Manav?
- 4.Solve: m/2 + 9 = 17. What is m?
- 5.Solve: p/6 + 20 = 26. What is p?
- 6.Solve: 2y − 1 = 29. What is y?
- 7.Riya’s mother is twice as old as Riya. Their ages add up to 12 years. How old is Riya?
- 8.Karan is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
- 9.Solve: 2y + 8 = 14. What is y?
- 10.Solve: 9n − 99 = 18. What is n?
- 11.Solve: 3x + 11 = 50. What is x?
- 12.Solve: 9(t + 2) = 63. What is t?
- 13.Gurpreet thinks of a number, multiplies it by 3 and then adds 11. The result is 23. What is the number?
- 14.Solve: 4p − 11 = 9. What is p?
- 15.Solve: 8n + 5 = 101. What is n?
- 16.Solve: 8x − 93 = 11. What is x?
- 17.Solve: 3(y + 3) = 48. What is y?
- 18.Solve: p/2 + 4 = 11. What is p?
- 19.Rahul’s mother is three times as old as Rahul. Their ages add up to 60 years. How old is Rahul?
- 20.Solve: 4(y + 1) = 40. What is y?
- 21.Solve: 2p − 11 = 3. What is p?
- 22.Solve: p/4 + 7 = 9. What is p?
- 23.Arjun thinks of a number, multiplies it by 2 and then adds 15. The result is 41. What is the number?
- 24.Rohan thinks of a number, multiplies it by 5 and then adds 16. The result is 31. What is the number?
- 25.Sneha’s mother is twice as old as Sneha. Their ages add up to 18 years. How old is Sneha?
- 26.Pooja thinks of a number, multiplies it by 5 and then adds 2. The result is 27. What is the number?
- 27.Solve: 7(m + 5) = 140. What is m?
- 28.Solve: 6t − 8 = 16. What is t?
- 29.Isha thinks of a number, multiplies it by 8 and then adds 14. The result is 70. What is the number?
- 30.Solve: 9m − 38 = 97. What is m?
- 31.Solve: m/4 + 1 = 5. What is m?
- 32.Solve: 9(n + 2) = 27. What is n?
- 33.Solve: 3x + 25 = 40. What is x?
- 34.Solve: 7x − 2 = 5. What is x?
- 35.Solve: 3p + 2 = 11. What is p?
- 36.Ishaan is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
- 37.Solve: 4(x + 1) = 48. What is x?
- 38.Solve: 5t + 17 = 77. What is t?
- 39.Solve: 7t + 8 = 15. What is t?
- 40.Solve: 2x − 13 = 5. What is x?
Answer key
- 15
- 15
- 4
- 16
- 36
- 15
- 4
- 11
- 3
- 13
- 13
- 5
- 4
- 5
- 12
- 13
- 13
- 14
- 15
- 9
- 7
- 8
- 13
- 3
- 6
- 5
- 15
- 4
- 7
- 15
- 16
- 1
- 5
- 1
- 3
- 6
- 11
- 12
- 1
- 9
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