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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 177 · 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/3 + 15 = 23. What is m?
  2. 2.Solve: p/6 + 8 = 10. What is p?
  3. 3.Solve: 7x + 20 = 69. What is x?
  4. 4.Solve: 7x − 17 = 60. What is x?
  5. 5.Solve: 2x − 1 = 1. What is x?
  6. 6.Solve: 9x + 8 = 143. What is x?
  7. 7.Dev is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  8. 8.Dev’s mother is three times as old as Dev. Their ages add up to 60 years. How old is Dev?
  9. 9.Solve: 9y − 1 = 80. What is y?
  10. 10.Solve: 2(t + 9) = 36. What is t?
  11. 11.Solve: 7(t + 7) = 133. What is t?
  12. 12.Solve: 3(t + 2) = 24. What is t?
  13. 13.Rahul thinks of a number, multiplies it by 7 and then adds 28. The result is 63. What is the number?
  14. 14.Solve: 6n − 1 = 5. What is n?
  15. 15.Solve: 7y − 1 = 76. What is y?
  16. 16.Solve: 6n − 28 = 2. What is n?
  17. 17.Arjun’s mother is three times as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  18. 18.Solve: 7m − 3 = 11. What is m?
  19. 19.Solve: 4n − 1 = 3. What is n?
  20. 20.Solve: 6m − 28 = 14. What is m?
  21. 21.Solve: 5x + 28 = 88. What is x?
  22. 22.Solve: 4t − 16 = 4. What is t?
  23. 23.Solve: 8x + 3 = 59. What is x?
  24. 24.Ishaan thinks of a number, multiplies it by 3 and then adds 2. The result is 23. What is the number?
  25. 25.Solve: 8p − 1 = 15. What is p?
  26. 26.Solve: 2t − 1 = 1. What is t?
  27. 27.Kavya is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  28. 28.Solve: n/9 + 15 = 21. What is n?
  29. 29.Solve: 9t − 10 = 8. What is t?
  30. 30.Solve: 7t + 2 = 58. What is t?
  31. 31.Solve: 4(p + 3) = 32. What is p?
  32. 32.Solve: 3(n + 7) = 48. What is n?
  33. 33.Solve: y/2 + 9 = 14. What is y?
  34. 34.Kabir’s mother is twice as old as Kabir. Their ages add up to 39 years. How old is Kabir?
  35. 35.Solve: y/3 + 1 = 10. What is y?
  36. 36.Solve: n/6 + 6 = 9. What is n?
  37. 37.Aditya thinks of a number, multiplies it by 2 and then adds 11. The result is 33. What is the number?
  38. 38.Solve: 3y − 3 = 3. What is y?
  39. 39.Solve: 6y + 5 = 59. What is y?
  40. 40.Solve: y/7 + 16 = 28. What is y?

Answer key

  1. 24
  2. 12
  3. 7
  4. 11
  5. 1
  6. 15
  7. 14
  8. 15
  9. 9
  10. 9
  11. 12
  12. 6
  13. 5
  14. 1
  15. 11
  16. 5
  17. 6
  18. 2
  19. 1
  20. 7
  21. 12
  22. 5
  23. 7
  24. 7
  25. 2
  26. 1
  27. 11
  28. 54
  29. 2
  30. 8
  31. 5
  32. 9
  33. 10
  34. 13
  35. 27
  36. 18
  37. 11
  38. 2
  39. 9
  40. 84

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