← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 707 · 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.Riya thinks of a number, multiplies it by 2 and then adds 25. The result is 27. What is the number?
  2. 2.Arjun’s mother is four times as old as Arjun. Their ages add up to 50 years. How old is Arjun?
  3. 3.Ananya thinks of a number, multiplies it by 5 and then adds 22. The result is 97. What is the number?
  4. 4.Dev thinks of a number, multiplies it by 2 and then adds 24. The result is 42. What is the number?
  5. 5.Solve: 6n + 19 = 49. What is n?
  6. 6.Solve: 7n − 2 = 82. What is n?
  7. 7.Meera thinks of a number, multiplies it by 6 and then adds 6. The result is 90. What is the number?
  8. 8.Solve: 9m + 13 = 103. What is m?
  9. 9.Solve: 2y + 17 = 33. What is y?
  10. 10.Solve: n/5 + 19 = 24. What is n?
  11. 11.Aarav thinks of a number, multiplies it by 3 and then adds 20. The result is 53. What is the number?
  12. 12.Solve: 4(n + 1) = 12. What is n?
  13. 13.Solve: x/2 + 2 = 10. What is x?
  14. 14.Solve: m/6 + 19 = 32. What is m?
  15. 15.Aarav’s mother is twice as old as Aarav. Their ages add up to 27 years. How old is Aarav?
  16. 16.Solve: 5p + 12 = 27. What is p?
  17. 17.Rahul is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  18. 18.Solve: x/3 + 1 = 14. What is x?
  19. 19.Solve: 2y − 25 = 5. What is y?
  20. 20.Solve: 6m − 22 = 26. What is m?
  21. 21.Solve: 9n − 11 = 25. What is n?
  22. 22.Solve: 6y + 10 = 76. What is y?
  23. 23.Solve: 6y − 6 = 30. What is y?
  24. 24.Solve: 2x − 4 = 20. What is x?
  25. 25.Nisha is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  26. 26.Solve: 4n − 11 = 17. What is n?
  27. 27.Solve: 4n + 3 = 55. What is n?
  28. 28.Solve: 3x + 18 = 21. What is x?
  29. 29.Solve: 7y − 76 = 15. What is y?
  30. 30.Solve: y/9 + 13 = 27. What is y?
  31. 31.Solve: 8n + 7 = 79. What is n?
  32. 32.Solve: 3n + 6 = 21. What is n?
  33. 33.Solve: 6p − 24 = 48. What is p?
  34. 34.Solve: 8p − 1 = 111. What is p?
  35. 35.Solve: 4x − 2 = 30. What is x?
  36. 36.Solve: 9p + 20 = 29. What is p?
  37. 37.Solve: p/8 + 19 = 29. What is p?
  38. 38.Sneha thinks of a number, multiplies it by 8 and then adds 3. The result is 99. What is the number?
  39. 39.Solve: 9(y + 8) = 162. What is y?
  40. 40.Solve: m/4 + 10 = 13. What is m?

Answer key

  1. 1
  2. 10
  3. 15
  4. 9
  5. 5
  6. 12
  7. 14
  8. 10
  9. 8
  10. 25
  11. 11
  12. 2
  13. 16
  14. 78
  15. 9
  16. 3
  17. 9
  18. 39
  19. 15
  20. 8
  21. 4
  22. 11
  23. 6
  24. 12
  25. 10
  26. 7
  27. 13
  28. 1
  29. 13
  30. 126
  31. 9
  32. 5
  33. 12
  34. 14
  35. 8
  36. 1
  37. 80
  38. 12
  39. 10
  40. 12

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