← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 564 · 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: 5m + 2 = 57. What is m?
  2. 2.Solve: 9y − 9 = 36. What is y?
  3. 3.Solve: 8m − 27 = 37. What is m?
  4. 4.Solve: 9n − 13 = 32. What is n?
  5. 5.Solve: 2x + 4 = 16. What is x?
  6. 6.Solve: x/3 + 6 = 17. What is x?
  7. 7.Solve: x/2 + 3 = 5. What is x?
  8. 8.Solve: y/5 + 20 = 22. What is y?
  9. 9.Solve: 3x + 9 = 42. What is x?
  10. 10.Solve: 2(m + 6) = 38. What is m?
  11. 11.Solve: 2m − 4 = 2. What is m?
  12. 12.Solve: 4t + 23 = 39. What is t?
  13. 13.Solve: 7(m + 5) = 42. What is m?
  14. 14.Solve: p/2 + 5 = 9. What is p?
  15. 15.Solve: 3x + 24 = 60. What is x?
  16. 16.Solve: 7p − 94 = 11. What is p?
  17. 17.Ishaan thinks of a number, multiplies it by 2 and then adds 3. The result is 33. What is the number?
  18. 18.Meera’s mother is twice as old as Meera. Their ages add up to 42 years. How old is Meera?
  19. 19.Solve: 2(t + 7) = 18. What is t?
  20. 20.Kabir is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  21. 21.Solve: 2p − 17 = 1. What is p?
  22. 22.Solve: 8n − 108 = 4. What is n?
  23. 23.Solve: 8t − 79 = 1. What is t?
  24. 24.Solve: 6x − 2 = 16. What is x?
  25. 25.Rahul’s mother is twice as old as Rahul. Their ages add up to 45 years. How old is Rahul?
  26. 26.Solve: 2(x + 3) = 26. What is x?
  27. 27.Joseph thinks of a number, multiplies it by 2 and then adds 29. The result is 55. What is the number?
  28. 28.Solve: p/6 + 14 = 20. What is p?
  29. 29.Rohan is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  30. 30.Karan is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  31. 31.Solve: m/2 + 4 = 16. What is m?
  32. 32.Rohan’s mother is four times as old as Rohan. Their ages add up to 75 years. How old is Rohan?
  33. 33.Solve: 4y + 26 = 42. What is y?
  34. 34.Solve: x/2 + 4 = 17. What is x?
  35. 35.Joseph’s mother is four times as old as Joseph. Their ages add up to 45 years. How old is Joseph?
  36. 36.Solve: 6m − 40 = 20. What is m?
  37. 37.Kabir’s mother is three times as old as Kabir. Their ages add up to 32 years. How old is Kabir?
  38. 38.Solve: 7p − 14 = 14. What is p?
  39. 39.Solve: 7(t + 9) = 84. What is t?
  40. 40.Solve: 8x − 17 = 15. What is x?

Answer key

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

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