← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 632 · 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: m/9 + 15 = 25. What is m?
  2. 2.Ishaan thinks of a number, multiplies it by 7 and then adds 25. The result is 53. What is the number?
  3. 3.Solve: x/3 + 20 = 28. What is x?
  4. 4.Solve: 8n + 7 = 119. What is n?
  5. 5.Solve: 7(n + 1) = 35. What is n?
  6. 6.Solve: 7t − 17 = 11. What is t?
  7. 7.Solve: 8(x + 8) = 72. What is x?
  8. 8.Meera thinks of a number, multiplies it by 9 and then adds 2. The result is 101. What is the number?
  9. 9.Solve: 8m − 14 = 50. What is m?
  10. 10.Solve: 5(x + 6) = 40. What is x?
  11. 11.Riya is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  12. 12.Nisha’s mother is four times as old as Nisha. Their ages add up to 55 years. How old is Nisha?
  13. 13.Solve: 5t + 27 = 87. What is t?
  14. 14.Sneha thinks of a number, multiplies it by 4 and then adds 29. The result is 77. What is the number?
  15. 15.Dev’s mother is four times as old as Dev. Their ages add up to 75 years. How old is Dev?
  16. 16.Solve: 4t + 26 = 78. What is t?
  17. 17.Solve: 2t + 5 = 7. What is t?
  18. 18.Solve: 4x − 8 = 28. What is x?
  19. 19.Arjun is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  20. 20.Solve: x/5 + 10 = 13. What is x?
  21. 21.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 65 years. How old is Lakshmi?
  22. 22.Solve: 6y − 32 = 28. What is y?
  23. 23.Solve: 4(y + 2) = 48. What is y?
  24. 24.Solve: 8y − 8 = 8. What is y?
  25. 25.Solve: 5n + 10 = 55. What is n?
  26. 26.Kavya thinks of a number, multiplies it by 6 and then adds 3. The result is 75. What is the number?
  27. 27.Kabir thinks of a number, multiplies it by 9 and then adds 15. The result is 42. What is the number?
  28. 28.Solve: 5y + 15 = 75. What is y?
  29. 29.Solve: 6n − 56 = 4. What is n?
  30. 30.Solve: 5m − 23 = 37. What is m?
  31. 31.Solve: 7y + 24 = 108. What is y?
  32. 32.Solve: 8t − 7 = 17. What is t?
  33. 33.Solve: n/2 + 5 = 11. What is n?
  34. 34.Aarav’s mother is three times as old as Aarav. Their ages add up to 44 years. How old is Aarav?
  35. 35.Lakshmi thinks of a number, multiplies it by 5 and then adds 11. The result is 21. What is the number?
  36. 36.Solve: 6t − 42 = 48. What is t?
  37. 37.Lakshmi thinks of a number, multiplies it by 4 and then adds 6. The result is 14. What is the number?
  38. 38.Kabir thinks of a number, multiplies it by 2 and then adds 9. The result is 33. What is the number?
  39. 39.Dev thinks of a number, multiplies it by 2 and then adds 5. The result is 13. What is the number?
  40. 40.Dev thinks of a number, multiplies it by 3 and then adds 1. The result is 37. What is the number?

Answer key

  1. 90
  2. 4
  3. 24
  4. 14
  5. 4
  6. 4
  7. 1
  8. 11
  9. 8
  10. 2
  11. 7
  12. 11
  13. 12
  14. 12
  15. 15
  16. 13
  17. 1
  18. 9
  19. 14
  20. 15
  21. 13
  22. 10
  23. 10
  24. 2
  25. 9
  26. 12
  27. 3
  28. 12
  29. 10
  30. 12
  31. 12
  32. 3
  33. 12
  34. 11
  35. 2
  36. 15
  37. 2
  38. 12
  39. 4
  40. 12

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