← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 770 · 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.Rahul’s mother is four times as old as Rahul. Their ages add up to 35 years. How old is Rahul?
  2. 2.Diya is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  3. 3.Saanvi thinks of a number, multiplies it by 7 and then adds 11. The result is 53. What is the number?
  4. 4.Solve: t/7 + 12 = 15. What is t?
  5. 5.Solve: 8x − 2 = 6. What is x?
  6. 6.Solve: 7(p + 3) = 63. What is p?
  7. 7.Solve: 9y − 43 = 20. What is y?
  8. 8.Solve: 2(y + 9) = 40. What is y?
  9. 9.Solve: 9n + 15 = 105. What is n?
  10. 10.Solve: 3m + 1 = 43. What is m?
  11. 11.Solve: 3n + 28 = 49. What is n?
  12. 12.Ananya’s mother is four times as old as Ananya. Their ages add up to 25 years. How old is Ananya?
  13. 13.Solve: y/4 + 20 = 23. What is y?
  14. 14.Dev thinks of a number, multiplies it by 7 and then adds 3. The result is 108. What is the number?
  15. 15.Solve: 2x + 20 = 42. What is x?
  16. 16.Solve: 5(y + 2) = 85. What is y?
  17. 17.Solve: 6y − 11 = 13. What is y?
  18. 18.Solve: 5(t + 3) = 55. What is t?
  19. 19.Solve: 2m − 6 = 14. What is m?
  20. 20.Solve: 2y + 19 = 35. What is y?
  21. 21.Aditya’s mother is four times as old as Aditya. Their ages add up to 20 years. How old is Aditya?
  22. 22.Solve: y/3 + 11 = 25. What is y?
  23. 23.Solve: 9p − 74 = 52. What is p?
  24. 24.Kabir thinks of a number, multiplies it by 6 and then adds 25. The result is 49. What is the number?
  25. 25.Ishaan thinks of a number, multiplies it by 5 and then adds 4. The result is 44. What is the number?
  26. 26.Solve: 3x − 2 = 1. What is x?
  27. 27.Solve: 4y + 10 = 62. What is y?
  28. 28.Saanvi is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  29. 29.Solve: n/8 + 13 = 16. What is n?
  30. 30.Solve: 2y − 1 = 23. What is y?
  31. 31.Ananya is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  32. 32.Dev is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  33. 33.Solve: 4m + 10 = 38. What is m?
  34. 34.Solve: p/7 + 14 = 17. What is p?
  35. 35.Solve: 9p − 29 = 7. What is p?
  36. 36.Solve: 4x − 11 = 5. What is x?
  37. 37.Solve: 2t + 30 = 42. What is t?
  38. 38.Lakshmi thinks of a number, multiplies it by 5 and then adds 6. The result is 51. What is the number?
  39. 39.Solve: 8x − 26 = 22. What is x?
  40. 40.Rohan thinks of a number, multiplies it by 4 and then adds 15. The result is 55. What is the number?

Answer key

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

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