← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 97 · 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: 3x − 10 = 26. What is x?
  2. 2.Solve: 8p − 12 = 4. What is p?
  3. 3.Solve: 8y − 20 = 36. What is y?
  4. 4.Solve: p/5 + 16 = 20. What is p?
  5. 5.Solve: p/9 + 3 = 10. What is p?
  6. 6.Solve: 2y + 28 = 32. What is y?
  7. 7.Solve: x/4 + 11 = 18. What is x?
  8. 8.Nisha is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  9. 9.Aarav thinks of a number, multiplies it by 5 and then adds 14. The result is 74. What is the number?
  10. 10.Solve: 6n − 30 = 12. What is n?
  11. 11.Solve: 9p − 15 = 21. What is p?
  12. 12.Priya’s mother is twice as old as Priya. Their ages add up to 24 years. How old is Priya?
  13. 13.Solve: 8x − 38 = 18. What is x?
  14. 14.Solve: 2y + 16 = 24. What is y?
  15. 15.Rahul thinks of a number, multiplies it by 8 and then adds 1. The result is 49. What is the number?
  16. 16.Karan thinks of a number, multiplies it by 8 and then adds 6. The result is 30. What is the number?
  17. 17.Aditya thinks of a number, multiplies it by 6 and then adds 20. The result is 92. What is the number?
  18. 18.Solve: 2m + 13 = 19. What is m?
  19. 19.Joseph thinks of a number, multiplies it by 3 and then adds 22. The result is 52. What is the number?
  20. 20.Kabir thinks of a number, multiplies it by 2 and then adds 29. The result is 43. What is the number?
  21. 21.Solve: p/3 + 7 = 9. What is p?
  22. 22.Solve: 7x − 6 = 92. What is x?
  23. 23.Solve: 3m − 3 = 3. What is m?
  24. 24.Solve: p/5 + 20 = 24. What is p?
  25. 25.Solve: m/3 + 5 = 19. What is m?
  26. 26.Solve: 4n + 28 = 68. What is n?
  27. 27.Farhan is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  28. 28.Solve: 8(m + 2) = 72. What is m?
  29. 29.Solve: m/7 + 4 = 10. What is m?
  30. 30.Solve: 7t − 43 = 6. What is t?
  31. 31.Farhan’s mother is four times as old as Farhan. Their ages add up to 70 years. How old is Farhan?
  32. 32.Solve: 5m − 5 = 65. What is m?
  33. 33.Solve: t/4 + 19 = 25. What is t?
  34. 34.Nisha is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  35. 35.Solve: 7(y + 5) = 42. What is y?
  36. 36.Solve: 6n − 18 = 6. What is n?
  37. 37.Solve: 5(t + 9) = 80. What is t?
  38. 38.Solve: 4x + 19 = 75. What is x?
  39. 39.Solve: 2y + 7 = 31. What is y?
  40. 40.Solve: t/2 + 11 = 16. What is t?

Answer key

  1. 12
  2. 2
  3. 7
  4. 20
  5. 63
  6. 2
  7. 28
  8. 8
  9. 12
  10. 7
  11. 4
  12. 8
  13. 7
  14. 4
  15. 6
  16. 3
  17. 12
  18. 3
  19. 10
  20. 7
  21. 6
  22. 14
  23. 2
  24. 20
  25. 42
  26. 10
  27. 9
  28. 7
  29. 42
  30. 7
  31. 14
  32. 14
  33. 24
  34. 6
  35. 1
  36. 4
  37. 7
  38. 14
  39. 12
  40. 10

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