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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 242 · 40 sums
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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. 1.Solve: 9y + 8 = 80. What is y?
  2. 2.Solve: 6(m + 6) = 48. What is m?
  3. 3.Solve: 6m + 9 = 27. What is m?
  4. 4.Solve: p/6 + 17 = 29. What is p?
  5. 5.Ananya is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  6. 6.Solve: 2n + 23 = 35. What is n?
  7. 7.Solve: 8n − 19 = 21. What is n?
  8. 8.Rohan’s mother is twice as old as Rohan. Their ages add up to 42 years. How old is Rohan?
  9. 9.Solve: 7p + 11 = 25. What is p?
  10. 10.Solve: 9y − 64 = 35. What is y?
  11. 11.Solve: 3t + 9 = 12. What is t?
  12. 12.Solve: 8t − 6 = 10. What is t?
  13. 13.Aditya’s mother is three times as old as Aditya. Their ages add up to 16 years. How old is Aditya?
  14. 14.Solve: n/3 + 16 = 27. What is n?
  15. 15.Manav thinks of a number, multiplies it by 2 and then adds 11. The result is 19. What is the number?
  16. 16.Aditya is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  17. 17.Solve: 7(y + 8) = 77. What is y?
  18. 18.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 28 years. How old is Vivaan?
  19. 19.Solve: 4m − 11 = 5. What is m?
  20. 20.Rohan thinks of a number, multiplies it by 6 and then adds 8. The result is 14. What is the number?
  21. 21.Pooja is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  22. 22.Solve: 5(p + 9) = 75. What is p?
  23. 23.Solve: 4n − 6 = 46. What is n?
  24. 24.Diya thinks of a number, multiplies it by 6 and then adds 20. The result is 32. What is the number?
  25. 25.Solve: 9(p + 6) = 153. What is p?
  26. 26.Solve: y/7 + 5 = 8. What is y?
  27. 27.Solve: 4m − 7 = 5. What is m?
  28. 28.Meera thinks of a number, multiplies it by 9 and then adds 1. The result is 28. What is the number?
  29. 29.Solve: 9(x + 2) = 54. What is x?
  30. 30.Solve: 4n + 17 = 25. What is n?
  31. 31.Meera thinks of a number, multiplies it by 8 and then adds 12. The result is 20. What is the number?
  32. 32.Nisha thinks of a number, multiplies it by 8 and then adds 19. The result is 43. What is the number?
  33. 33.Solve: 8p − 48 = 16. What is p?
  34. 34.Aditya thinks of a number, multiplies it by 4 and then adds 19. The result is 55. What is the number?
  35. 35.Solve: 3t − 9 = 6. What is t?
  36. 36.Manav thinks of a number, multiplies it by 9 and then adds 28. The result is 145. What is the number?
  37. 37.Rahul’s mother is twice as old as Rahul. Their ages add up to 42 years. How old is Rahul?
  38. 38.Solve: 7p + 11 = 67. What is p?
  39. 39.Solve: 9(t + 4) = 126. What is t?
  40. 40.Meera thinks of a number, multiplies it by 9 and then adds 15. The result is 60. What is the number?

Answer key

  1. 8
  2. 2
  3. 3
  4. 72
  5. 4
  6. 6
  7. 5
  8. 14
  9. 2
  10. 11
  11. 1
  12. 2
  13. 4
  14. 33
  15. 4
  16. 10
  17. 3
  18. 7
  19. 4
  20. 1
  21. 10
  22. 6
  23. 13
  24. 2
  25. 11
  26. 21
  27. 3
  28. 3
  29. 4
  30. 2
  31. 1
  32. 3
  33. 8
  34. 9
  35. 5
  36. 13
  37. 14
  38. 8
  39. 10
  40. 5

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