← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 5 · 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: p/5 + 17 = 21. What is p?
  2. 2.Meera’s mother is four times as old as Meera. Their ages add up to 20 years. How old is Meera?
  3. 3.Aditya’s mother is twice as old as Aditya. Their ages add up to 12 years. How old is Aditya?
  4. 4.Solve: 5t + 14 = 24. What is t?
  5. 5.Solve: 6x + 1 = 19. What is x?
  6. 6.Aarav thinks of a number, multiplies it by 7 and then adds 3. The result is 87. What is the number?
  7. 7.Solve: 9p − 20 = 61. What is p?
  8. 8.Solve: 3p − 21 = 12. What is p?
  9. 9.Solve: 5t − 9 = 11. What is t?
  10. 10.Solve: 5m + 26 = 61. What is m?
  11. 11.Solve: 3n − 7 = 8. What is n?
  12. 12.Solve: p/2 + 5 = 6. What is p?
  13. 13.Solve: 3t + 30 = 69. What is t?
  14. 14.Rahul thinks of a number, multiplies it by 8 and then adds 7. The result is 63. What is the number?
  15. 15.Solve: 8y − 3 = 13. What is y?
  16. 16.Saanvi is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  17. 17.Solve: 4p − 34 = 14. What is p?
  18. 18.Solve: 5m + 16 = 46. What is m?
  19. 19.Solve: 6m − 8 = 4. What is m?
  20. 20.Priya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  21. 21.Arjun’s mother is twice as old as Arjun. Their ages add up to 21 years. How old is Arjun?
  22. 22.Solve: 3y − 10 = 20. What is y?
  23. 23.Solve: 2n − 2 = 12. What is n?
  24. 24.Solve: 2(x + 9) = 32. What is x?
  25. 25.Solve: 2y + 11 = 39. What is y?
  26. 26.Solve: 2n + 17 = 19. What is n?
  27. 27.Solve: 6(m + 7) = 48. What is m?
  28. 28.Solve: 3n + 2 = 8. What is n?
  29. 29.Vivaan thinks of a number, multiplies it by 4 and then adds 1. The result is 9. What is the number?
  30. 30.Solve: 2t + 5 = 33. What is t?
  31. 31.Solve: 2t + 1 = 23. What is t?
  32. 32.Solve: m/8 + 10 = 24. What is m?
  33. 33.Manav thinks of a number, multiplies it by 2 and then adds 30. The result is 60. What is the number?
  34. 34.Solve: p/7 + 15 = 24. What is p?
  35. 35.Solve: 8(n + 2) = 24. What is n?
  36. 36.Solve: 5p + 7 = 77. What is p?
  37. 37.Solve: t/4 + 1 = 7. What is t?
  38. 38.Solve: y/3 + 20 = 28. What is y?
  39. 39.Solve: 9y − 3 = 123. What is y?
  40. 40.Solve: x/3 + 10 = 18. What is x?

Answer key

  1. 20
  2. 4
  3. 4
  4. 2
  5. 3
  6. 12
  7. 9
  8. 11
  9. 4
  10. 7
  11. 5
  12. 2
  13. 13
  14. 7
  15. 2
  16. 13
  17. 12
  18. 6
  19. 2
  20. 11
  21. 7
  22. 10
  23. 7
  24. 7
  25. 14
  26. 1
  27. 1
  28. 2
  29. 2
  30. 14
  31. 11
  32. 112
  33. 15
  34. 63
  35. 1
  36. 14
  37. 24
  38. 24
  39. 14
  40. 24

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