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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 425 · 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.Ananya thinks of a number, multiplies it by 8 and then adds 21. The result is 69. What is the number?
  2. 2.Solve: 5y − 4 = 36. What is y?
  3. 3.Solve: 4(n + 7) = 64. What is n?
  4. 4.Solve: 2y − 10 = 10. What is y?
  5. 5.Solve: 7n − 56 = 14. What is n?
  6. 6.Solve: 9n − 4 = 32. What is n?
  7. 7.Solve: 4(y + 2) = 64. What is y?
  8. 8.Solve: 4p − 27 = 5. What is p?
  9. 9.Pooja’s mother is four times as old as Pooja. Their ages add up to 60 years. How old is Pooja?
  10. 10.Solve: t/9 + 19 = 31. What is t?
  11. 11.Solve: 2p + 5 = 35. What is p?
  12. 12.Rohan is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  13. 13.Solve: 2m + 11 = 39. What is m?
  14. 14.Solve: p/9 + 15 = 18. What is p?
  15. 15.Solve: t/9 + 20 = 22. What is t?
  16. 16.Solve: 2t − 4 = 6. What is t?
  17. 17.Solve: 3(m + 8) = 27. What is m?
  18. 18.Solve: 3t + 2 = 17. What is t?
  19. 19.Solve: 5x − 15 = 5. What is x?
  20. 20.Solve: 6(x + 3) = 48. What is x?
  21. 21.Solve: m/5 + 3 = 8. What is m?
  22. 22.Solve: p/5 + 5 = 12. What is p?
  23. 23.Solve: 3(t + 1) = 39. What is t?
  24. 24.Solve: 5n − 31 = 4. What is n?
  25. 25.Solve: 5t + 4 = 24. What is t?
  26. 26.Solve: 7m − 26 = 30. What is m?
  27. 27.Rohan is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  28. 28.Solve: 6n − 84 = 6. What is n?
  29. 29.Solve: 2y − 2 = 20. What is y?
  30. 30.Solve: 8x + 10 = 130. What is x?
  31. 31.Joseph thinks of a number, multiplies it by 9 and then adds 13. The result is 139. What is the number?
  32. 32.Solve: 3(t + 4) = 54. What is t?
  33. 33.Solve: 9x − 28 = 71. What is x?
  34. 34.Solve: y/7 + 14 = 19. What is y?
  35. 35.Solve: y/5 + 13 = 26. What is y?
  36. 36.Solve: 5t + 6 = 31. What is t?
  37. 37.Aditya is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  38. 38.Arjun thinks of a number, multiplies it by 3 and then adds 17. The result is 32. What is the number?
  39. 39.Pooja thinks of a number, multiplies it by 6 and then adds 18. The result is 78. What is the number?
  40. 40.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 40 years. How old is Vivaan?

Answer key

  1. 6
  2. 8
  3. 9
  4. 10
  5. 10
  6. 4
  7. 14
  8. 8
  9. 12
  10. 108
  11. 15
  12. 8
  13. 14
  14. 27
  15. 18
  16. 5
  17. 1
  18. 5
  19. 4
  20. 5
  21. 25
  22. 35
  23. 12
  24. 7
  25. 4
  26. 8
  27. 13
  28. 15
  29. 11
  30. 15
  31. 14
  32. 14
  33. 11
  34. 35
  35. 65
  36. 5
  37. 4
  38. 5
  39. 10
  40. 10

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