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: 2m + 28 = 42. What is m?
- 2.Solve: p/2 + 16 = 27. What is p?
- 3.Solve: m/8 + 3 = 5. What is m?
- 4.Solve: n/9 + 11 = 15. What is n?
- 5.Solve: 2t − 6 = 2. What is t?
- 6.Solve: 6m + 20 = 44. What is m?
- 7.Kabir is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
- 8.Solve: p/9 + 18 = 26. What is p?
- 9.Solve: 2m + 6 = 8. What is m?
- 10.Priya thinks of a number, multiplies it by 3 and then adds 8. The result is 14. What is the number?
- 11.Solve: 5y − 2 = 3. What is y?
- 12.Solve: n/8 + 11 = 18. What is n?
- 13.Rahul is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
- 14.Solve: 2p + 9 = 17. What is p?
- 15.Solve: 4y − 36 = 20. What is y?
- 16.Solve: 8x − 6 = 26. What is x?
- 17.Solve: 5x − 43 = 17. What is x?
- 18.Solve: 6(m + 2) = 18. What is m?
- 19.Pooja is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
- 20.Solve: 5y − 10 = 15. What is y?
- 21.Solve: y/3 + 17 = 24. What is y?
- 22.Joseph’s mother is twice as old as Joseph. Their ages add up to 42 years. How old is Joseph?
- 23.Solve: y/4 + 17 = 19. What is y?
- 24.Aarav is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
- 25.Pooja thinks of a number, multiplies it by 5 and then adds 15. The result is 30. What is the number?
- 26.Meera is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
- 27.Solve: 4m − 1 = 3. What is m?
- 28.Priya thinks of a number, multiplies it by 2 and then adds 13. The result is 23. What is the number?
- 29.Solve: 4y − 13 = 7. What is y?
- 30.Solve: 5(n + 5) = 75. What is n?
- 31.Solve: m/7 + 4 = 6. What is m?
- 32.Solve: 2(m + 8) = 24. What is m?
- 33.Solve: 4y − 1 = 19. What is y?
- 34.Farhan thinks of a number, multiplies it by 4 and then adds 18. The result is 62. What is the number?
- 35.Solve: 9(t + 2) = 117. What is t?
- 36.Solve: 7t − 40 = 16. What is t?
- 37.Solve: 9n − 5 = 4. What is n?
- 38.Solve: p/2 + 10 = 23. What is p?
- 39.Solve: 3m − 5 = 1. What is m?
- 40.Solve: 3(n + 9) = 39. What is n?
Answer key
- 7
- 22
- 16
- 36
- 4
- 4
- 10
- 72
- 1
- 2
- 1
- 56
- 7
- 4
- 14
- 4
- 12
- 1
- 5
- 5
- 21
- 14
- 8
- 12
- 3
- 15
- 1
- 5
- 5
- 10
- 14
- 4
- 5
- 11
- 11
- 8
- 1
- 26
- 2
- 4
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