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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 183 · 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: m/6 + 6 = 14. What is m?
  2. 2.Solve: 8x + 20 = 116. What is x?
  3. 3.Isha thinks of a number, multiplies it by 9 and then adds 7. The result is 52. What is the number?
  4. 4.Vivaan thinks of a number, multiplies it by 3 and then adds 8. The result is 47. What is the number?
  5. 5.Solve: x/2 + 11 = 23. What is x?
  6. 6.Solve: 8y − 47 = 1. What is y?
  7. 7.Solve: 2(m + 3) = 18. What is m?
  8. 8.Solve: 2p − 17 = 11. What is p?
  9. 9.Solve: p/8 + 16 = 23. What is p?
  10. 10.Aditya thinks of a number, multiplies it by 8 and then adds 25. The result is 73. What is the number?
  11. 11.Solve: 7y + 24 = 59. What is y?
  12. 12.Solve: 8t + 24 = 40. What is t?
  13. 13.Solve: m/8 + 1 = 2. What is m?
  14. 14.Ishaan thinks of a number, multiplies it by 8 and then adds 4. The result is 28. What is the number?
  15. 15.Solve: 3t + 10 = 13. What is t?
  16. 16.Solve: m/2 + 1 = 7. What is m?
  17. 17.Solve: 4n − 47 = 9. What is n?
  18. 18.Solve: 4t − 23 = 5. What is t?
  19. 19.Solve: 9n + 2 = 29. What is n?
  20. 20.Solve: 4t + 30 = 58. What is t?
  21. 21.Solve: x/6 + 14 = 19. What is x?
  22. 22.Karan thinks of a number, multiplies it by 4 and then adds 11. The result is 67. What is the number?
  23. 23.Solve: p/7 + 7 = 8. What is p?
  24. 24.Solve: 6p + 19 = 73. What is p?
  25. 25.Solve: p/2 + 5 = 17. What is p?
  26. 26.Solve: n/9 + 13 = 21. What is n?
  27. 27.Solve: 4x + 7 = 31. What is x?
  28. 28.Rohan thinks of a number, multiplies it by 6 and then adds 5. The result is 41. What is the number?
  29. 29.Karan thinks of a number, multiplies it by 5 and then adds 10. The result is 75. What is the number?
  30. 30.Solve: 8x + 3 = 51. What is x?
  31. 31.Rahul is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  32. 32.Priya thinks of a number, multiplies it by 7 and then adds 17. The result is 115. What is the number?
  33. 33.Solve: 6n + 5 = 35. What is n?
  34. 34.Solve: n/9 + 7 = 14. What is n?
  35. 35.Solve: 6(y + 8) = 54. What is y?
  36. 36.Solve: y/7 + 20 = 29. What is y?
  37. 37.Solve: 3m − 5 = 7. What is m?
  38. 38.Solve: x/7 + 12 = 24. What is x?
  39. 39.Solve: x/2 + 4 = 8. What is x?
  40. 40.Solve: x/6 + 2 = 5. What is x?

Answer key

  1. 48
  2. 12
  3. 5
  4. 13
  5. 24
  6. 6
  7. 6
  8. 14
  9. 56
  10. 6
  11. 5
  12. 2
  13. 8
  14. 3
  15. 1
  16. 12
  17. 14
  18. 7
  19. 3
  20. 7
  21. 30
  22. 14
  23. 7
  24. 9
  25. 24
  26. 72
  27. 6
  28. 6
  29. 13
  30. 6
  31. 6
  32. 14
  33. 5
  34. 63
  35. 1
  36. 63
  37. 4
  38. 84
  39. 8
  40. 18

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