← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 748 · 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: 9x + 25 = 79. What is x?
  2. 2.Aarav is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  3. 3.Solve: x/4 + 6 = 11. What is x?
  4. 4.Solve: 6m + 27 = 57. What is m?
  5. 5.Solve: 9m − 65 = 7. What is m?
  6. 6.Solve: 4t − 15 = 5. What is t?
  7. 7.Solve: 7m + 1 = 8. What is m?
  8. 8.Solve: 8p − 83 = 5. What is p?
  9. 9.Solve: 5(x + 7) = 85. What is x?
  10. 10.Zoya thinks of a number, multiplies it by 7 and then adds 27. The result is 97. What is the number?
  11. 11.Solve: 8(t + 3) = 40. What is t?
  12. 12.Arjun is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  13. 13.Kabir is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  14. 14.Solve: 7y − 9 = 54. What is y?
  15. 15.Isha thinks of a number, multiplies it by 6 and then adds 5. The result is 47. What is the number?
  16. 16.Dev’s mother is twice as old as Dev. Their ages add up to 30 years. How old is Dev?
  17. 17.Solve: 5(y + 2) = 55. What is y?
  18. 18.Solve: 4(p + 1) = 60. What is p?
  19. 19.Solve: 9y + 15 = 87. What is y?
  20. 20.Solve: 6m − 61 = 29. What is m?
  21. 21.Solve: 2y + 21 = 31. What is y?
  22. 22.Vivaan is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  23. 23.Isha thinks of a number, multiplies it by 2 and then adds 22. The result is 42. What is the number?
  24. 24.Solve: y/7 + 18 = 27. What is y?
  25. 25.Solve: 7x + 30 = 86. What is x?
  26. 26.Farhan’s mother is twice as old as Farhan. Their ages add up to 36 years. How old is Farhan?
  27. 27.Zoya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  28. 28.Solve: 8y − 8 = 56. What is y?
  29. 29.Aditya is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  30. 30.Rahul thinks of a number, multiplies it by 4 and then adds 28. The result is 32. What is the number?
  31. 31.Solve: 4n − 47 = 13. What is n?
  32. 32.Solve: p/9 + 16 = 19. What is p?
  33. 33.Solve: 4t + 7 = 19. What is t?
  34. 34.Nisha thinks of a number, multiplies it by 5 and then adds 28. The result is 38. What is the number?
  35. 35.Solve: 4t − 1 = 7. What is t?
  36. 36.Solve: 3n − 34 = 5. What is n?
  37. 37.Solve: p/8 + 4 = 5. What is p?
  38. 38.Solve: 2y + 19 = 43. What is y?
  39. 39.Solve: 2x + 4 = 32. What is x?
  40. 40.Solve: 3(n + 1) = 9. What is n?

Answer key

  1. 6
  2. 7
  3. 20
  4. 5
  5. 8
  6. 5
  7. 1
  8. 11
  9. 10
  10. 10
  11. 2
  12. 6
  13. 13
  14. 9
  15. 7
  16. 10
  17. 9
  18. 14
  19. 8
  20. 15
  21. 5
  22. 10
  23. 10
  24. 63
  25. 8
  26. 12
  27. 8
  28. 8
  29. 8
  30. 1
  31. 15
  32. 27
  33. 3
  34. 2
  35. 2
  36. 13
  37. 8
  38. 12
  39. 14
  40. 2

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