← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 576 · 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: 8y − 15 = 17. What is y?
  2. 2.Solve: 6x − 26 = 22. What is x?
  3. 3.Solve: 4n + 11 = 19. What is n?
  4. 4.Solve: p/4 + 3 = 6. What is p?
  5. 5.Solve: 4m + 26 = 54. What is m?
  6. 6.Solve: y/3 + 11 = 18. What is y?
  7. 7.Solve: n/5 + 14 = 19. What is n?
  8. 8.Aarav is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  9. 9.Solve: 7(p + 5) = 126. What is p?
  10. 10.Solve: 9p + 1 = 10. What is p?
  11. 11.Solve: 2(t + 4) = 12. What is t?
  12. 12.Solve: 6(t + 3) = 36. What is t?
  13. 13.Saanvi is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  14. 14.Solve: 6n − 3 = 39. What is n?
  15. 15.Solve: p/6 + 7 = 8. What is p?
  16. 16.Manav is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  17. 17.Gurpreet thinks of a number, multiplies it by 3 and then adds 19. The result is 31. What is the number?
  18. 18.Solve: x/4 + 8 = 14. What is x?
  19. 19.Solve: 5y + 29 = 59. What is y?
  20. 20.Solve: 3x − 36 = 3. What is x?
  21. 21.Solve: x/8 + 12 = 21. What is x?
  22. 22.Solve: m/2 + 3 = 15. What is m?
  23. 23.Solve: 7y + 22 = 57. What is y?
  24. 24.Solve: 5(y + 7) = 45. What is y?
  25. 25.Solve: 4n + 8 = 12. What is n?
  26. 26.Sneha’s mother is three times as old as Sneha. Their ages add up to 24 years. How old is Sneha?
  27. 27.Solve: t/9 + 4 = 6. What is t?
  28. 28.Solve: 6(t + 8) = 114. What is t?
  29. 29.Zoya thinks of a number, multiplies it by 5 and then adds 18. The result is 23. What is the number?
  30. 30.Riya is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  31. 31.Kavya thinks of a number, multiplies it by 8 and then adds 13. The result is 45. What is the number?
  32. 32.Kabir thinks of a number, multiplies it by 3 and then adds 12. The result is 42. What is the number?
  33. 33.Solve: 4t + 5 = 65. What is t?
  34. 34.Saanvi thinks of a number, multiplies it by 2 and then adds 9. The result is 11. What is the number?
  35. 35.Solve: 4m − 3 = 9. What is m?
  36. 36.Aditya’s mother is twice as old as Aditya. Their ages add up to 12 years. How old is Aditya?
  37. 37.Priya thinks of a number, multiplies it by 4 and then adds 21. The result is 57. What is the number?
  38. 38.Solve: n/4 + 17 = 23. What is n?
  39. 39.Solve: 3x − 12 = 27. What is x?
  40. 40.Solve: 7x − 10 = 11. What is x?

Answer key

  1. 4
  2. 8
  3. 2
  4. 12
  5. 7
  6. 21
  7. 25
  8. 14
  9. 13
  10. 1
  11. 2
  12. 3
  13. 13
  14. 7
  15. 6
  16. 7
  17. 4
  18. 24
  19. 6
  20. 13
  21. 72
  22. 24
  23. 5
  24. 2
  25. 1
  26. 6
  27. 18
  28. 11
  29. 1
  30. 9
  31. 4
  32. 10
  33. 15
  34. 1
  35. 3
  36. 4
  37. 9
  38. 24
  39. 13
  40. 3

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