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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 904 · 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.Farhan is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  2. 2.Dev is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  3. 3.Solve: 6n + 29 = 71. What is n?
  4. 4.Diya thinks of a number, multiplies it by 2 and then adds 22. The result is 42. What is the number?
  5. 5.Solve: m/4 + 10 = 12. What is m?
  6. 6.Solve: t/7 + 16 = 31. What is t?
  7. 7.Solve: 5t + 2 = 47. What is t?
  8. 8.Arjun’s mother is twice as old as Arjun. Their ages add up to 30 years. How old is Arjun?
  9. 9.Solve: x/3 + 2 = 9. What is x?
  10. 10.Kabir’s mother is twice as old as Kabir. Their ages add up to 36 years. How old is Kabir?
  11. 11.Solve: y/3 + 9 = 10. What is y?
  12. 12.Arjun’s mother is three times as old as Arjun. Their ages add up to 60 years. How old is Arjun?
  13. 13.Solve: 9t + 14 = 23. What is t?
  14. 14.Aarav thinks of a number, multiplies it by 6 and then adds 13. The result is 49. What is the number?
  15. 15.Solve: p/3 + 1 = 15. What is p?
  16. 16.Solve: 3y − 7 = 26. What is y?
  17. 17.Solve: 8x − 11 = 5. What is x?
  18. 18.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 27 years. How old is Saanvi?
  19. 19.Solve: 3(n + 3) = 54. What is n?
  20. 20.Diya is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  21. 21.Solve: 4(x + 2) = 20. What is x?
  22. 22.Solve: 5y − 14 = 1. What is y?
  23. 23.Solve: 2(p + 6) = 24. What is p?
  24. 24.Ishaan thinks of a number, multiplies it by 6 and then adds 23. The result is 77. What is the number?
  25. 25.Dev thinks of a number, multiplies it by 7 and then adds 8. The result is 99. What is the number?
  26. 26.Solve: 3(m + 1) = 6. What is m?
  27. 27.Solve: 5y − 23 = 7. What is y?
  28. 28.Solve: 2(p + 5) = 24. What is p?
  29. 29.Solve: 3t + 23 = 35. What is t?
  30. 30.Aditya’s mother is three times as old as Aditya. Their ages add up to 28 years. How old is Aditya?
  31. 31.Solve: 3(y + 5) = 24. What is y?
  32. 32.Solve: 2(m + 2) = 12. What is m?
  33. 33.Farhan thinks of a number, multiplies it by 5 and then adds 19. The result is 49. What is the number?
  34. 34.Solve: p/8 + 6 = 20. What is p?
  35. 35.Solve: 5p + 20 = 80. What is p?
  36. 36.Solve: y/4 + 16 = 19. What is y?
  37. 37.Kabir thinks of a number, multiplies it by 6 and then adds 4. The result is 28. What is the number?
  38. 38.Solve: p/4 + 6 = 9. What is p?
  39. 39.Rohan’s mother is twice as old as Rohan. Their ages add up to 30 years. How old is Rohan?
  40. 40.Riya thinks of a number, multiplies it by 5 and then adds 29. The result is 39. What is the number?

Answer key

  1. 8
  2. 6
  3. 7
  4. 10
  5. 8
  6. 105
  7. 9
  8. 10
  9. 21
  10. 12
  11. 3
  12. 15
  13. 1
  14. 6
  15. 42
  16. 11
  17. 2
  18. 9
  19. 15
  20. 7
  21. 3
  22. 3
  23. 6
  24. 9
  25. 13
  26. 1
  27. 6
  28. 7
  29. 4
  30. 7
  31. 3
  32. 4
  33. 6
  34. 112
  35. 12
  36. 12
  37. 4
  38. 12
  39. 10
  40. 2

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