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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 785 · 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: 9(p + 7) = 108. What is p?
  2. 2.Solve: 4t − 7 = 1. What is t?
  3. 3.Solve: p/7 + 10 = 25. What is p?
  4. 4.Solve: 6y + 16 = 28. What is y?
  5. 5.Solve: n/8 + 18 = 31. What is n?
  6. 6.Sneha thinks of a number, multiplies it by 3 and then adds 26. The result is 65. What is the number?
  7. 7.Solve: p/3 + 1 = 15. What is p?
  8. 8.Solve: 3(y + 1) = 45. What is y?
  9. 9.Solve: 8t + 21 = 61. What is t?
  10. 10.Solve: 4m + 17 = 45. What is m?
  11. 11.Arjun is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  12. 12.Kabir thinks of a number, multiplies it by 9 and then adds 2. The result is 65. What is the number?
  13. 13.Solve: 6p + 27 = 45. What is p?
  14. 14.Solve: 6m + 11 = 41. What is m?
  15. 15.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 45 years. How old is Lakshmi?
  16. 16.Solve: 6t + 12 = 18. What is t?
  17. 17.Gurpreet thinks of a number, multiplies it by 9 and then adds 17. The result is 71. What is the number?
  18. 18.Solve: n/9 + 18 = 22. What is n?
  19. 19.Solve: 3(x + 6) = 57. What is x?
  20. 20.Solve: 6m − 60 = 24. What is m?
  21. 21.Solve: 5x + 3 = 18. What is x?
  22. 22.Diya thinks of a number, multiplies it by 7 and then adds 6. The result is 111. What is the number?
  23. 23.Saanvi thinks of a number, multiplies it by 2 and then adds 16. The result is 24. What is the number?
  24. 24.Priya’s mother is four times as old as Priya. Their ages add up to 65 years. How old is Priya?
  25. 25.Solve: 9(n + 5) = 81. What is n?
  26. 26.Solve: 6x + 22 = 52. What is x?
  27. 27.Solve: 3(x + 9) = 48. What is x?
  28. 28.Solve: 5y − 4 = 31. What is y?
  29. 29.Saanvi is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  30. 30.Rohan is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  31. 31.Solve: y/4 + 18 = 21. What is y?
  32. 32.Solve: 3p + 11 = 26. What is p?
  33. 33.Solve: 2x + 5 = 27. What is x?
  34. 34.Kabir thinks of a number, multiplies it by 6 and then adds 7. The result is 25. What is the number?
  35. 35.Solve: 7n − 16 = 5. What is n?
  36. 36.Solve: 9x + 12 = 30. What is x?
  37. 37.Solve: 7y + 22 = 113. What is y?
  38. 38.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 36 years. How old is Saanvi?
  39. 39.Solve: 4n − 6 = 10. What is n?
  40. 40.Solve: p/2 + 15 = 27. What is p?

Answer key

  1. 5
  2. 2
  3. 105
  4. 2
  5. 104
  6. 13
  7. 42
  8. 14
  9. 5
  10. 7
  11. 14
  12. 7
  13. 3
  14. 5
  15. 9
  16. 1
  17. 6
  18. 36
  19. 13
  20. 14
  21. 3
  22. 15
  23. 4
  24. 13
  25. 4
  26. 5
  27. 7
  28. 7
  29. 11
  30. 4
  31. 12
  32. 5
  33. 11
  34. 3
  35. 3
  36. 2
  37. 13
  38. 9
  39. 4
  40. 24

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