← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 826 · 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.Farhan thinks of a number, multiplies it by 3 and then adds 1. The result is 4. What is the number?
  2. 2.Solve: 7y − 11 = 3. What is y?
  3. 3.Gurpreet thinks of a number, multiplies it by 2 and then adds 27. The result is 45. What is the number?
  4. 4.Solve: 9n + 13 = 76. What is n?
  5. 5.Solve: 4(y + 5) = 28. What is y?
  6. 6.Solve: 8n − 34 = 22. What is n?
  7. 7.Solve: 8y − 33 = 15. What is y?
  8. 8.Solve: 9m + 6 = 24. What is m?
  9. 9.Solve: 2p − 6 = 14. What is p?
  10. 10.Sneha thinks of a number, multiplies it by 7 and then adds 13. The result is 90. What is the number?
  11. 11.Joseph’s mother is four times as old as Joseph. Their ages add up to 60 years. How old is Joseph?
  12. 12.Solve: 5(p + 6) = 90. What is p?
  13. 13.Isha thinks of a number, multiplies it by 9 and then adds 12. The result is 93. What is the number?
  14. 14.Riya’s mother is twice as old as Riya. Their ages add up to 45 years. How old is Riya?
  15. 15.Arjun is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  16. 16.Solve: 3p − 16 = 5. What is p?
  17. 17.Solve: 7x + 16 = 51. What is x?
  18. 18.Solve: 7m − 6 = 8. What is m?
  19. 19.Nisha’s mother is twice as old as Nisha. Their ages add up to 15 years. How old is Nisha?
  20. 20.Ishaan thinks of a number, multiplies it by 9 and then adds 4. The result is 49. What is the number?
  21. 21.Solve: 8x + 15 = 87. What is x?
  22. 22.Joseph’s mother is three times as old as Joseph. Their ages add up to 20 years. How old is Joseph?
  23. 23.Solve: 7x + 20 = 34. What is x?
  24. 24.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 70 years. How old is Gurpreet?
  25. 25.Solve: 7t + 12 = 117. What is t?
  26. 26.Solve: 4(x + 6) = 48. What is x?
  27. 27.Solve: 7x + 4 = 109. What is x?
  28. 28.Solve: 2m + 14 = 44. What is m?
  29. 29.Solve: p/9 + 9 = 19. What is p?
  30. 30.Solve: y/9 + 7 = 10. What is y?
  31. 31.Solve: 7(y + 6) = 112. What is y?
  32. 32.Solve: 6n + 1 = 31. What is n?
  33. 33.Solve: 4(t + 8) = 60. What is t?
  34. 34.Dev’s mother is four times as old as Dev. Their ages add up to 40 years. How old is Dev?
  35. 35.Solve: 8y + 24 = 80. What is y?
  36. 36.Solve: x/7 + 16 = 23. What is x?
  37. 37.Pooja’s mother is four times as old as Pooja. Their ages add up to 25 years. How old is Pooja?
  38. 38.Solve: 9m + 4 = 112. What is m?
  39. 39.Rohan’s mother is twice as old as Rohan. Their ages add up to 39 years. How old is Rohan?
  40. 40.Solve: x/8 + 8 = 21. What is x?

Answer key

  1. 1
  2. 2
  3. 9
  4. 7
  5. 2
  6. 7
  7. 6
  8. 2
  9. 10
  10. 11
  11. 12
  12. 12
  13. 9
  14. 15
  15. 9
  16. 7
  17. 5
  18. 2
  19. 5
  20. 5
  21. 9
  22. 5
  23. 2
  24. 14
  25. 15
  26. 6
  27. 15
  28. 15
  29. 90
  30. 27
  31. 10
  32. 5
  33. 7
  34. 8
  35. 7
  36. 49
  37. 5
  38. 12
  39. 13
  40. 104

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