← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 459 · 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: 2n + 21 = 29. What is n?
  2. 2.Aarav thinks of a number, multiplies it by 9 and then adds 24. The result is 51. What is the number?
  3. 3.Solve: 9p + 17 = 53. What is p?
  4. 4.Solve: 3t − 7 = 38. What is t?
  5. 5.Solve: 4x + 30 = 34. What is x?
  6. 6.Solve: 6m − 2 = 82. What is m?
  7. 7.Kabir thinks of a number, multiplies it by 2 and then adds 28. The result is 30. What is the number?
  8. 8.Aditya’s mother is four times as old as Aditya. Their ages add up to 75 years. How old is Aditya?
  9. 9.Solve: 9(m + 3) = 54. What is m?
  10. 10.Solve: 3m − 1 = 5. What is m?
  11. 11.Solve: 7(y + 5) = 133. What is y?
  12. 12.Solve: 4(m + 7) = 84. What is m?
  13. 13.Manav thinks of a number, multiplies it by 6 and then adds 21. The result is 69. What is the number?
  14. 14.Meera is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  15. 15.Solve: 9m − 86 = 40. What is m?
  16. 16.Solve: x/3 + 17 = 29. What is x?
  17. 17.Solve: m/3 + 9 = 10. What is m?
  18. 18.Solve: 8x − 1 = 23. What is x?
  19. 19.Farhan is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  20. 20.Solve: 5n + 7 = 72. What is n?
  21. 21.Ananya is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  22. 22.Arjun is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  23. 23.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 24 years. How old is Saanvi?
  24. 24.Diya thinks of a number, multiplies it by 7 and then adds 14. The result is 84. What is the number?
  25. 25.Ishaan thinks of a number, multiplies it by 2 and then adds 25. The result is 27. What is the number?
  26. 26.Solve: 4m + 20 = 36. What is m?
  27. 27.Solve: 8y − 57 = 31. What is y?
  28. 28.Solve: t/6 + 20 = 23. What is t?
  29. 29.Saanvi thinks of a number, multiplies it by 6 and then adds 19. The result is 91. What is the number?
  30. 30.Solve: 6y − 6 = 78. What is y?
  31. 31.Saanvi thinks of a number, multiplies it by 9 and then adds 26. The result is 152. What is the number?
  32. 32.Ishaan thinks of a number, multiplies it by 4 and then adds 8. The result is 44. What is the number?
  33. 33.Solve: 7t − 9 = 82. What is t?
  34. 34.Kavya thinks of a number, multiplies it by 6 and then adds 3. The result is 45. What is the number?
  35. 35.Solve: 9y − 21 = 33. What is y?
  36. 36.Solve: 2y − 20 = 4. What is y?
  37. 37.Solve: x/6 + 12 = 25. What is x?
  38. 38.Solve: 2t − 7 = 11. What is t?
  39. 39.Solve: 3y − 21 = 3. What is y?
  40. 40.Joseph is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?

Answer key

  1. 4
  2. 3
  3. 4
  4. 15
  5. 1
  6. 14
  7. 1
  8. 15
  9. 3
  10. 2
  11. 14
  12. 14
  13. 8
  14. 7
  15. 14
  16. 36
  17. 3
  18. 3
  19. 5
  20. 13
  21. 15
  22. 4
  23. 6
  24. 10
  25. 1
  26. 4
  27. 11
  28. 18
  29. 12
  30. 14
  31. 14
  32. 9
  33. 13
  34. 7
  35. 6
  36. 12
  37. 78
  38. 9
  39. 8
  40. 8

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