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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 825 · 40 sums
TalentJR

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.Kabir’s mother is twice as old as Kabir. Their ages add up to 30 years. How old is Kabir?
  2. 2.Ananya thinks of a number, multiplies it by 4 and then adds 22. The result is 34. What is the number?
  3. 3.Solve: m/7 + 4 = 5. What is m?
  4. 4.Rohan thinks of a number, multiplies it by 4 and then adds 13. The result is 17. What is the number?
  5. 5.Riya’s mother is four times as old as Riya. Their ages add up to 25 years. How old is Riya?
  6. 6.Solve: 4m − 5 = 11. What is m?
  7. 7.Joseph thinks of a number, multiplies it by 4 and then adds 22. The result is 34. What is the number?
  8. 8.Solve: 4y − 3 = 29. What is y?
  9. 9.Solve: 7p − 20 = 36. What is p?
  10. 10.Solve: 7x + 30 = 51. What is x?
  11. 11.Ananya thinks of a number, multiplies it by 4 and then adds 19. The result is 55. What is the number?
  12. 12.Solve: 4(m + 9) = 72. What is m?
  13. 13.Priya’s mother is three times as old as Priya. Their ages add up to 24 years. How old is Priya?
  14. 14.Solve: 2t + 15 = 41. What is t?
  15. 15.Solve: n/2 + 14 = 17. What is n?
  16. 16.Nisha thinks of a number, multiplies it by 6 and then adds 3. The result is 27. What is the number?
  17. 17.Solve: 5x + 16 = 56. What is x?
  18. 18.Solve: x/8 + 7 = 10. What is x?
  19. 19.Solve: 7n − 26 = 16. What is n?
  20. 20.Solve: 7y + 11 = 116. What is y?
  21. 21.Solve: 6(y + 4) = 36. What is y?
  22. 22.Solve: n/2 + 7 = 20. What is n?
  23. 23.Solve: 4t − 34 = 18. What is t?
  24. 24.Rohan thinks of a number, multiplies it by 3 and then adds 28. The result is 37. What is the number?
  25. 25.Farhan’s mother is four times as old as Farhan. Their ages add up to 75 years. How old is Farhan?
  26. 26.Solve: 3t − 3 = 6. What is t?
  27. 27.Solve: y/7 + 4 = 13. What is y?
  28. 28.Solve: 4p + 24 = 64. What is p?
  29. 29.Solve: 8x + 28 = 108. What is x?
  30. 30.Solve: p/5 + 2 = 3. What is p?
  31. 31.Solve: 9p − 15 = 3. What is p?
  32. 32.Solve: 9y − 31 = 86. What is y?
  33. 33.Farhan thinks of a number, multiplies it by 2 and then adds 2. The result is 20. What is the number?
  34. 34.Farhan thinks of a number, multiplies it by 6 and then adds 3. The result is 39. What is the number?
  35. 35.Solve: 3x + 8 = 20. What is x?
  36. 36.Solve: x/5 + 4 = 9. What is x?
  37. 37.Manav thinks of a number, multiplies it by 4 and then adds 20. The result is 40. What is the number?
  38. 38.Solve: 3x − 27 = 3. What is x?
  39. 39.Solve: 3p + 2 = 38. What is p?
  40. 40.Solve: 7t − 17 = 4. What is t?

Answer key

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

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