← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 568 · 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: 4p + 10 = 14. What is p?
  2. 2.Solve: 3x − 3 = 36. What is x?
  3. 3.Tara thinks of a number, multiplies it by 9 and then adds 21. The result is 102. What is the number?
  4. 4.Sneha thinks of a number, multiplies it by 5 and then adds 16. The result is 51. What is the number?
  5. 5.Arjun is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  6. 6.Solve: 7y + 16 = 51. What is y?
  7. 7.Solve: 9p + 18 = 63. What is p?
  8. 8.Solve: 5m + 27 = 47. What is m?
  9. 9.Solve: 8t + 29 = 77. What is t?
  10. 10.Aditya thinks of a number, multiplies it by 6 and then adds 25. The result is 55. What is the number?
  11. 11.Solve: y/2 + 8 = 14. What is y?
  12. 12.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 30 years. How old is Lakshmi?
  13. 13.Solve: 5y − 50 = 15. What is y?
  14. 14.Solve: 2(n + 5) = 30. What is n?
  15. 15.Solve: 6m + 4 = 52. What is m?
  16. 16.Sneha thinks of a number, multiplies it by 8 and then adds 19. The result is 107. What is the number?
  17. 17.Solve: 3x + 14 = 23. What is x?
  18. 18.Solve: 8p − 11 = 29. What is p?
  19. 19.Solve: 8(m + 8) = 80. What is m?
  20. 20.Solve: 2(n + 9) = 38. What is n?
  21. 21.Solve: 3p + 22 = 55. What is p?
  22. 22.Solve: 9t + 11 = 110. What is t?
  23. 23.Solve: 3(x + 3) = 27. What is x?
  24. 24.Manav thinks of a number, multiplies it by 3 and then adds 17. The result is 38. What is the number?
  25. 25.Priya is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  26. 26.Solve: 2(x + 8) = 18. What is x?
  27. 27.Aarav thinks of a number, multiplies it by 5 and then adds 18. The result is 93. What is the number?
  28. 28.Dev thinks of a number, multiplies it by 2 and then adds 17. The result is 25. What is the number?
  29. 29.Solve: 4(y + 9) = 60. What is y?
  30. 30.Solve: 7x + 24 = 87. What is x?
  31. 31.Solve: 8p − 43 = 45. What is p?
  32. 32.Solve: 6m − 25 = 35. What is m?
  33. 33.Solve: 4y − 7 = 13. What is y?
  34. 34.Farhan’s mother is twice as old as Farhan. Their ages add up to 39 years. How old is Farhan?
  35. 35.Meera is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  36. 36.Solve: 7(y + 6) = 126. What is y?
  37. 37.Solve: 6y + 30 = 102. What is y?
  38. 38.Solve: 2x − 22 = 2. What is x?
  39. 39.Solve: x/2 + 3 = 5. What is x?
  40. 40.Solve: 6p + 1 = 7. What is p?

Answer key

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

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