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: 9y − 61 = 2. What is y?
- 2.Solve: 9x + 16 = 151. What is x?
- 3.Solve: 8(y + 7) = 104. What is y?
- 4.Solve: p/9 + 3 = 15. What is p?
- 5.Priya thinks of a number, multiplies it by 2 and then adds 30. The result is 42. What is the number?
- 6.Solve: 4(t + 6) = 48. What is t?
- 7.Solve: 2m − 6 = 16. What is m?
- 8.Solve: 4(n + 3) = 32. What is n?
- 9.Solve: 7t + 13 = 104. What is t?
- 10.Solve: n/2 + 5 = 11. What is n?
- 11.Solve: 8x + 25 = 113. What is x?
- 12.Solve: 6p − 3 = 9. What is p?
- 13.Solve: 5(y + 9) = 60. What is y?
- 14.Solve: 4y + 1 = 61. What is y?
- 15.Manav thinks of a number, multiplies it by 4 and then adds 16. The result is 72. What is the number?
- 16.Solve: 6x + 7 = 67. What is x?
- 17.Solve: 3(n + 2) = 39. What is n?
- 18.Solve: 6p + 6 = 18. What is p?
- 19.Solve: 9y − 7 = 2. What is y?
- 20.Solve: 3(t + 5) = 36. What is t?
- 21.Solve: 8(m + 6) = 128. What is m?
- 22.Ishaan is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
- 23.Solve: 6(n + 5) = 60. What is n?
- 24.Dev thinks of a number, multiplies it by 8 and then adds 27. The result is 107. What is the number?
- 25.Solve: 7p + 9 = 72. What is p?
- 26.Rohan thinks of a number, multiplies it by 8 and then adds 16. The result is 112. What is the number?
- 27.Solve: 7t − 4 = 3. What is t?
- 28.Solve: 6(t + 8) = 108. What is t?
- 29.Solve: 4t + 1 = 29. What is t?
- 30.Solve: 9p − 16 = 110. What is p?
- 31.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 40 years. How old is Ishaan?
- 32.Solve: 9(x + 8) = 108. What is x?
- 33.Gurpreet is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
- 34.Sneha thinks of a number, multiplies it by 4 and then adds 22. The result is 82. What is the number?
- 35.Karan is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
- 36.Solve: n/8 + 1 = 6. What is n?
- 37.Solve: 2t + 5 = 27. What is t?
- 38.Manav is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
- 39.Solve: 9m − 39 = 15. What is m?
- 40.Manav is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
Answer key
- 7
- 15
- 6
- 108
- 6
- 6
- 11
- 5
- 13
- 12
- 11
- 2
- 3
- 15
- 14
- 10
- 11
- 2
- 1
- 7
- 10
- 5
- 5
- 10
- 9
- 12
- 1
- 10
- 7
- 14
- 10
- 4
- 11
- 15
- 15
- 40
- 11
- 10
- 6
- 7
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