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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 591 · 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: 9n − 103 = 5. What is n?
  2. 2.Aarav thinks of a number, multiplies it by 9 and then adds 26. The result is 89. What is the number?
  3. 3.Solve: 4y − 4 = 16. What is y?
  4. 4.Solve: x/3 + 12 = 13. What is x?
  5. 5.Solve: 8n + 11 = 35. What is n?
  6. 6.Solve: 3x − 28 = 5. What is x?
  7. 7.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 18 years. How old is Saanvi?
  8. 8.Solve: 7(x + 7) = 126. What is x?
  9. 9.Solve: 3p − 29 = 10. What is p?
  10. 10.Solve: 2(n + 4) = 34. What is n?
  11. 11.Riya thinks of a number, multiplies it by 5 and then adds 8. The result is 43. What is the number?
  12. 12.Solve: 9y + 5 = 68. What is y?
  13. 13.Solve: 9x − 28 = 17. What is x?
  14. 14.Kabir’s mother is three times as old as Kabir. Their ages add up to 60 years. How old is Kabir?
  15. 15.Solve: 4(p + 7) = 32. What is p?
  16. 16.Ananya thinks of a number, multiplies it by 4 and then adds 24. The result is 84. What is the number?
  17. 17.Solve: 4x + 22 = 42. What is x?
  18. 18.Solve: x/7 + 2 = 10. What is x?
  19. 19.Solve: 2(n + 8) = 24. What is n?
  20. 20.Ishaan thinks of a number, multiplies it by 9 and then adds 5. The result is 59. What is the number?
  21. 21.Aarav thinks of a number, multiplies it by 6 and then adds 5. The result is 17. What is the number?
  22. 22.Dev is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  23. 23.Solve: 4(m + 5) = 32. What is m?
  24. 24.Solve: 4n − 20 = 36. What is n?
  25. 25.Solve: 2m + 3 = 21. What is m?
  26. 26.Solve: 2(x + 2) = 16. What is x?
  27. 27.Solve: 2m − 6 = 18. What is m?
  28. 28.Solve: 4n + 3 = 59. What is n?
  29. 29.Solve: 4x − 2 = 14. What is x?
  30. 30.Solve: 3m + 9 = 24. What is m?
  31. 31.Solve: x/2 + 2 = 16. What is x?
  32. 32.Solve: 2m − 1 = 19. What is m?
  33. 33.Solve: 2p − 5 = 1. What is p?
  34. 34.Rahul is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  35. 35.Solve: 7p + 4 = 53. What is p?
  36. 36.Solve: 8n − 16 = 56. What is n?
  37. 37.Rohan’s mother is three times as old as Rohan. Their ages add up to 44 years. How old is Rohan?
  38. 38.Rohan thinks of a number, multiplies it by 4 and then adds 21. The result is 53. What is the number?
  39. 39.Solve: p/6 + 16 = 18. What is p?
  40. 40.Solve: 9(m + 1) = 45. What is m?

Answer key

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

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