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: 6m + 2 = 86. What is m?
- 2.Solve: 4y + 2 = 54. What is y?
- 3.Solve: 2(m + 7) = 38. What is m?
- 4.Solve: 5x − 4 = 11. What is x?
- 5.Meera thinks of a number, multiplies it by 6 and then adds 19. The result is 91. What is the number?
- 6.Solve: 5(x + 9) = 50. What is x?
- 7.Solve: 2(m + 9) = 36. What is m?
- 8.Solve: n/2 + 6 = 15. What is n?
- 9.Solve: p/9 + 6 = 18. What is p?
- 10.Solve: 2(m + 3) = 16. What is m?
- 11.Priya is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
- 12.Priya thinks of a number, multiplies it by 8 and then adds 14. The result is 54. What is the number?
- 13.Tara is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
- 14.Solve: x/9 + 12 = 13. What is x?
- 15.Manav thinks of a number, multiplies it by 2 and then adds 9. The result is 31. What is the number?
- 16.Solve: 9(n + 1) = 27. What is n?
- 17.Manav thinks of a number, multiplies it by 5 and then adds 26. The result is 86. What is the number?
- 18.Ananya thinks of a number, multiplies it by 4 and then adds 10. The result is 42. What is the number?
- 19.Pooja is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
- 20.Solve: y/9 + 5 = 13. What is y?
- 21.Solve: m/2 + 20 = 32. What is m?
- 22.Solve: 4x + 1 = 37. What is x?
- 23.Solve: 9p + 21 = 66. What is p?
- 24.Solve: 9(n + 5) = 54. What is n?
- 25.Karan’s mother is twice as old as Karan. Their ages add up to 42 years. How old is Karan?
- 26.Solve: 7(n + 6) = 147. What is n?
- 27.Rohan’s mother is three times as old as Rohan. Their ages add up to 48 years. How old is Rohan?
- 28.Solve: 9y − 54 = 9. What is y?
- 29.Solve: 2y + 8 = 18. What is y?
- 30.Solve: 5y − 17 = 38. What is y?
- 31.Isha is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
- 32.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 35 years. How old is Gurpreet?
- 33.Meera thinks of a number, multiplies it by 4 and then adds 19. The result is 27. What is the number?
- 34.Solve: 3x + 7 = 13. What is x?
- 35.Solve: 8p + 28 = 140. What is p?
- 36.Isha’s mother is twice as old as Isha. Their ages add up to 42 years. How old is Isha?
- 37.Solve: x/4 + 6 = 7. What is x?
- 38.Solve: x/4 + 17 = 27. What is x?
- 39.Solve: 4y − 2 = 2. What is y?
- 40.Solve: 9m + 12 = 93. What is m?
Answer key
- 14
- 13
- 12
- 3
- 12
- 1
- 9
- 18
- 108
- 5
- 9
- 5
- 7
- 9
- 11
- 2
- 12
- 8
- 13
- 72
- 24
- 9
- 5
- 1
- 14
- 15
- 12
- 7
- 5
- 11
- 10
- 7
- 2
- 2
- 14
- 14
- 4
- 40
- 1
- 9
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