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.Ishaan thinks of a number, multiplies it by 2 and then adds 2. The result is 24. What is the number?
- 2.Solve: t/6 + 19 = 33. What is t?
- 3.Gurpreet is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
- 4.Solve: 5(t + 1) = 45. What is t?
- 5.Kavya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
- 6.Solve: 8p − 4 = 116. What is p?
- 7.Solve: 6y + 27 = 75. What is y?
- 8.Rahul thinks of a number, multiplies it by 8 and then adds 21. The result is 29. What is the number?
- 9.Solve: 7t + 30 = 72. What is t?
- 10.Solve: 7(y + 5) = 70. What is y?
- 11.Solve: 8m − 31 = 89. What is m?
- 12.Solve: 7p − 38 = 11. What is p?
- 13.Saanvi is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
- 14.Solve: m/2 + 14 = 22. What is m?
- 15.Solve: 6x + 28 = 76. What is x?
- 16.Solve: n/6 + 8 = 22. What is n?
- 17.Meera’s mother is four times as old as Meera. Their ages add up to 55 years. How old is Meera?
- 18.Solve: 9t − 38 = 25. What is t?
- 19.Solve: 7x + 30 = 72. What is x?
- 20.Solve: 7p + 14 = 84. What is p?
- 21.Solve: 2(n + 3) = 8. What is n?
- 22.Solve: 9m − 18 = 9. What is m?
- 23.Solve: 5(y + 4) = 35. What is y?
- 24.Isha’s mother is four times as old as Isha. Their ages add up to 30 years. How old is Isha?
- 25.Solve: 5(y + 1) = 15. What is y?
- 26.Solve: 9n − 33 = 39. What is n?
- 27.Solve: 7(m + 2) = 28. What is m?
- 28.Solve: 2n + 16 = 36. What is n?
- 29.Solve: 2x + 3 = 7. What is x?
- 30.Solve: 4(p + 8) = 52. What is p?
- 31.Solve: y/6 + 7 = 11. What is y?
- 32.Solve: 3(y + 2) = 24. What is y?
- 33.Solve: p/5 + 17 = 22. What is p?
- 34.Solve: 6(t + 7) = 72. What is t?
- 35.Solve: 7(x + 2) = 21. What is x?
- 36.Solve: 5x − 7 = 3. What is x?
- 37.Solve: 9y − 3 = 60. What is y?
- 38.Kabir’s mother is four times as old as Kabir. Their ages add up to 40 years. How old is Kabir?
- 39.Solve: 9x − 18 = 63. What is x?
- 40.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 25 years. How old is Gurpreet?
Answer key
- 11
- 84
- 13
- 8
- 12
- 15
- 8
- 1
- 6
- 5
- 15
- 7
- 14
- 16
- 8
- 84
- 11
- 7
- 6
- 10
- 1
- 3
- 3
- 6
- 2
- 8
- 2
- 10
- 2
- 5
- 24
- 6
- 25
- 5
- 1
- 2
- 7
- 8
- 9
- 5
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