← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 570 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Solve: 4t − 11 = 5. What is t?
  2. 2.Solve: 5m + 9 = 39. What is m?
  3. 3.Solve: 4x + 14 = 54. What is x?
  4. 4.Solve: 9n + 4 = 67. What is n?
  5. 5.Solve: 8x − 25 = 63. What is x?
  6. 6.Diya thinks of a number, multiplies it by 3 and then adds 30. The result is 45. What is the number?
  7. 7.Diya’s mother is three times as old as Diya. Their ages add up to 16 years. How old is Diya?
  8. 8.Solve: 3(y + 6) = 54. What is y?
  9. 9.Solve: p/8 + 2 = 8. What is p?
  10. 10.Solve: 8t + 22 = 102. What is t?
  11. 11.Solve: 6n + 17 = 35. What is n?
  12. 12.Solve: 4y − 3 = 53. What is y?
  13. 13.Solve: 9n − 15 = 3. What is n?
  14. 14.Solve: 7x − 7 = 7. What is x?
  15. 15.Solve: 4x + 23 = 31. What is x?
  16. 16.Priya’s mother is four times as old as Priya. Their ages add up to 30 years. How old is Priya?
  17. 17.Solve: 3p + 11 = 29. What is p?
  18. 18.Aditya is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  19. 19.Solve: 2n − 9 = 1. What is n?
  20. 20.Solve: 3y − 14 = 22. What is y?
  21. 21.Solve: 3x + 30 = 33. What is x?
  22. 22.Farhan thinks of a number, multiplies it by 2 and then adds 19. The result is 33. What is the number?
  23. 23.Solve: 9(y + 6) = 90. What is y?
  24. 24.Solve: 3(y + 6) = 63. What is y?
  25. 25.Solve: 2m + 28 = 56. What is m?
  26. 26.Solve: 5x − 26 = 29. What is x?
  27. 27.Solve: 8m − 49 = 31. What is m?
  28. 28.Rahul’s mother is three times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
  29. 29.Solve: 8x − 6 = 10. What is x?
  30. 30.Solve: 3y − 6 = 39. What is y?
  31. 31.Rohan’s mother is twice as old as Rohan. Their ages add up to 15 years. How old is Rohan?
  32. 32.Meera’s mother is three times as old as Meera. Their ages add up to 40 years. How old is Meera?
  33. 33.Solve: t/4 + 11 = 21. What is t?
  34. 34.Solve: p/3 + 8 = 22. What is p?
  35. 35.Solve: 3t + 17 = 23. What is t?
  36. 36.Solve: 6n − 76 = 14. What is n?
  37. 37.Aarav thinks of a number, multiplies it by 6 and then adds 15. The result is 27. What is the number?
  38. 38.Solve: 4(t + 1) = 12. What is t?
  39. 39.Nisha is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  40. 40.Solve: 9n + 25 = 52. What is n?

Answer key

  1. 4
  2. 6
  3. 10
  4. 7
  5. 11
  6. 5
  7. 4
  8. 12
  9. 48
  10. 10
  11. 3
  12. 14
  13. 2
  14. 2
  15. 2
  16. 6
  17. 6
  18. 6
  19. 5
  20. 12
  21. 1
  22. 7
  23. 4
  24. 15
  25. 14
  26. 11
  27. 10
  28. 5
  29. 2
  30. 15
  31. 5
  32. 10
  33. 40
  34. 42
  35. 2
  36. 15
  37. 2
  38. 2
  39. 14
  40. 3

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets