← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 997 · 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: 8(t + 7) = 144. What is t?
  2. 2.Solve: 2x − 17 = 9. What is x?
  3. 3.Aditya thinks of a number, multiplies it by 7 and then adds 8. The result is 15. What is the number?
  4. 4.Solve: 3n − 7 = 8. What is n?
  5. 5.Isha thinks of a number, multiplies it by 9 and then adds 11. The result is 137. What is the number?
  6. 6.Isha’s mother is twice as old as Isha. Their ages add up to 15 years. How old is Isha?
  7. 7.Solve: 8m + 21 = 53. What is m?
  8. 8.Solve: 5(x + 2) = 30. What is x?
  9. 9.Kabir thinks of a number, multiplies it by 3 and then adds 2. The result is 23. What is the number?
  10. 10.Solve: 8(x + 8) = 72. What is x?
  11. 11.Solve: 9p − 87 = 21. What is p?
  12. 12.Solve: p/5 + 18 = 22. What is p?
  13. 13.Solve: 7t + 24 = 66. What is t?
  14. 14.Solve: 4(x + 6) = 56. What is x?
  15. 15.Solve: p/2 + 20 = 24. What is p?
  16. 16.Farhan thinks of a number, multiplies it by 5 and then adds 10. The result is 60. What is the number?
  17. 17.Farhan thinks of a number, multiplies it by 4 and then adds 4. The result is 24. What is the number?
  18. 18.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 42 years. How old is Saanvi?
  19. 19.Solve: 8t + 2 = 66. What is t?
  20. 20.Solve: 9m + 21 = 93. What is m?
  21. 21.Aarav’s mother is twice as old as Aarav. Their ages add up to 12 years. How old is Aarav?
  22. 22.Solve: 4p + 23 = 39. What is p?
  23. 23.Arjun’s mother is four times as old as Arjun. Their ages add up to 60 years. How old is Arjun?
  24. 24.Solve: 5y − 1 = 9. What is y?
  25. 25.Solve: y/4 + 17 = 28. What is y?
  26. 26.Solve: x/4 + 12 = 13. What is x?
  27. 27.Solve: 6n − 2 = 28. What is n?
  28. 28.Solve: x/5 + 2 = 3. What is x?
  29. 29.Lakshmi thinks of a number, multiplies it by 7 and then adds 12. The result is 47. What is the number?
  30. 30.Solve: 7n + 1 = 36. What is n?
  31. 31.Solve: p/2 + 4 = 15. What is p?
  32. 32.Solve: 5(x + 4) = 80. What is x?
  33. 33.Tara is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  34. 34.Solve: 5x + 9 = 59. What is x?
  35. 35.Solve: x/5 + 17 = 20. What is x?
  36. 36.Solve: n/9 + 2 = 6. What is n?
  37. 37.Arjun thinks of a number, multiplies it by 3 and then adds 17. The result is 41. What is the number?
  38. 38.Solve: 9(y + 3) = 81. What is y?
  39. 39.Solve: 5y − 33 = 17. What is y?
  40. 40.Solve: 3p − 14 = 19. What is p?

Answer key

  1. 11
  2. 13
  3. 1
  4. 5
  5. 14
  6. 5
  7. 4
  8. 4
  9. 7
  10. 1
  11. 12
  12. 20
  13. 6
  14. 8
  15. 8
  16. 10
  17. 5
  18. 14
  19. 8
  20. 8
  21. 4
  22. 4
  23. 12
  24. 2
  25. 44
  26. 4
  27. 5
  28. 5
  29. 5
  30. 5
  31. 22
  32. 12
  33. 4
  34. 10
  35. 15
  36. 36
  37. 8
  38. 6
  39. 10
  40. 11

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