← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 345 · 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 thinks of a number, multiplies it by 7 and then adds 2. The result is 30. What is the number?
  2. 2.Vivaan is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  3. 3.Solve: 2n + 19 = 33. What is n?
  4. 4.Solve: 3x − 15 = 6. What is x?
  5. 5.Solve: 9(y + 1) = 45. What is y?
  6. 6.Solve: p/6 + 2 = 7. What is p?
  7. 7.Solve: 5m − 20 = 30. What is m?
  8. 8.Solve: 7m − 58 = 40. What is m?
  9. 9.Solve: 9y + 23 = 95. What is y?
  10. 10.Solve: 5m − 18 = 27. What is m?
  11. 11.Arjun is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  12. 12.Zoya is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  13. 13.Solve: 9n + 14 = 86. What is n?
  14. 14.Solve: t/6 + 5 = 19. What is t?
  15. 15.Solve: 2m + 14 = 36. What is m?
  16. 16.Kabir thinks of a number, multiplies it by 2 and then adds 12. The result is 36. What is the number?
  17. 17.Solve: 5m − 24 = 51. What is m?
  18. 18.Kavya thinks of a number, multiplies it by 2 and then adds 28. The result is 50. What is the number?
  19. 19.Solve: t/5 + 19 = 31. What is t?
  20. 20.Solve: 7m − 49 = 49. What is m?
  21. 21.Solve: 8y + 20 = 28. What is y?
  22. 22.Solve: 2y + 12 = 26. What is y?
  23. 23.Solve: 3x + 15 = 36. What is x?
  24. 24.Saanvi thinks of a number, multiplies it by 9 and then adds 9. The result is 81. What is the number?
  25. 25.Solve: 5(p + 9) = 115. What is p?
  26. 26.Solve: 8p − 2 = 46. What is p?
  27. 27.Tara thinks of a number, multiplies it by 2 and then adds 5. The result is 7. What is the number?
  28. 28.Solve: t/2 + 5 = 17. What is t?
  29. 29.Pooja’s mother is three times as old as Pooja. Their ages add up to 36 years. How old is Pooja?
  30. 30.Solve: 4n + 12 = 28. What is n?
  31. 31.Solve: 8n + 20 = 124. What is n?
  32. 32.Solve: x/4 + 2 = 5. What is x?
  33. 33.Solve: 4y + 4 = 24. What is y?
  34. 34.Solve: x/7 + 12 = 17. What is x?
  35. 35.Saanvi thinks of a number, multiplies it by 3 and then adds 29. The result is 59. What is the number?
  36. 36.Solve: n/9 + 8 = 20. What is n?
  37. 37.Solve: 5(n + 2) = 20. What is n?
  38. 38.Aditya’s mother is four times as old as Aditya. Their ages add up to 50 years. How old is Aditya?
  39. 39.Nisha thinks of a number, multiplies it by 5 and then adds 20. The result is 85. What is the number?
  40. 40.Isha thinks of a number, multiplies it by 4 and then adds 18. The result is 38. What is the number?

Answer key

  1. 4
  2. 10
  3. 7
  4. 7
  5. 4
  6. 30
  7. 10
  8. 14
  9. 8
  10. 9
  11. 5
  12. 8
  13. 8
  14. 84
  15. 11
  16. 12
  17. 15
  18. 11
  19. 60
  20. 14
  21. 1
  22. 7
  23. 7
  24. 8
  25. 14
  26. 6
  27. 1
  28. 24
  29. 9
  30. 4
  31. 13
  32. 12
  33. 5
  34. 35
  35. 10
  36. 108
  37. 2
  38. 10
  39. 13
  40. 5

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