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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 923 · 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.Solve: p/6 + 7 = 15. What is p?
  2. 2.Solve: 3x − 26 = 1. What is x?
  3. 3.Solve: n/2 + 3 = 9. What is n?
  4. 4.Isha thinks of a number, multiplies it by 2 and then adds 10. The result is 12. What is the number?
  5. 5.Solve: 9p + 21 = 111. What is p?
  6. 6.Solve: 2y + 25 = 39. What is y?
  7. 7.Solve: 7t + 5 = 82. What is t?
  8. 8.Solve: 7x − 5 = 2. What is x?
  9. 9.Solve: 6p + 13 = 43. What is p?
  10. 10.Solve: 3m + 13 = 34. What is m?
  11. 11.Meera is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  12. 12.Solve: 3(y + 1) = 15. What is y?
  13. 13.Solve: y/6 + 4 = 7. What is y?
  14. 14.Saanvi thinks of a number, multiplies it by 7 and then adds 5. The result is 12. What is the number?
  15. 15.Solve: 2(y + 6) = 32. What is y?
  16. 16.Solve: x/9 + 6 = 13. What is x?
  17. 17.Solve: 6m + 12 = 30. What is m?
  18. 18.Aarav thinks of a number, multiplies it by 3 and then adds 5. The result is 47. What is the number?
  19. 19.Solve: 6m + 16 = 46. What is m?
  20. 20.Diya thinks of a number, multiplies it by 7 and then adds 19. The result is 40. What is the number?
  21. 21.Solve: n/6 + 6 = 8. What is n?
  22. 22.Solve: 4y − 47 = 5. What is y?
  23. 23.Solve: 3(p + 9) = 57. What is p?
  24. 24.Solve: 2(m + 8) = 36. What is m?
  25. 25.Solve: 9(p + 9) = 90. What is p?
  26. 26.Solve: 9p + 10 = 73. What is p?
  27. 27.Arjun’s mother is three times as old as Arjun. Their ages add up to 60 years. How old is Arjun?
  28. 28.Rahul is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  29. 29.Solve: 3(m + 1) = 30. What is m?
  30. 30.Solve: 6(y + 7) = 72. What is y?
  31. 31.Rohan thinks of a number, multiplies it by 2 and then adds 6. The result is 36. What is the number?
  32. 32.Solve: 8(y + 3) = 144. What is y?
  33. 33.Solve: t/6 + 17 = 32. What is t?
  34. 34.Aditya’s mother is three times as old as Aditya. Their ages add up to 32 years. How old is Aditya?
  35. 35.Solve: 9(p + 8) = 198. What is p?
  36. 36.Solve: 5x + 28 = 43. What is x?
  37. 37.Solve: p/7 + 18 = 30. What is p?
  38. 38.Isha thinks of a number, multiplies it by 5 and then adds 12. The result is 87. What is the number?
  39. 39.Solve: 5y − 21 = 39. What is y?
  40. 40.Solve: 7(n + 1) = 70. What is n?

Answer key

  1. 48
  2. 9
  3. 12
  4. 1
  5. 10
  6. 7
  7. 11
  8. 1
  9. 5
  10. 7
  11. 13
  12. 4
  13. 18
  14. 1
  15. 10
  16. 63
  17. 3
  18. 14
  19. 5
  20. 3
  21. 12
  22. 13
  23. 10
  24. 10
  25. 1
  26. 7
  27. 15
  28. 15
  29. 9
  30. 5
  31. 15
  32. 15
  33. 90
  34. 8
  35. 14
  36. 3
  37. 84
  38. 15
  39. 12
  40. 9

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