← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 417 · 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: 6m + 24 = 54. What is m?
  2. 2.Kabir thinks of a number, multiplies it by 8 and then adds 26. The result is 106. What is the number?
  3. 3.Solve: 7x + 8 = 29. What is x?
  4. 4.Solve: 3m − 18 = 21. What is m?
  5. 5.Solve: 7n + 15 = 43. What is n?
  6. 6.Solve: 3t − 3 = 6. What is t?
  7. 7.Arjun thinks of a number, multiplies it by 7 and then adds 11. The result is 46. What is the number?
  8. 8.Solve: 3n − 15 = 21. What is n?
  9. 9.Solve: 3x − 1 = 2. What is x?
  10. 10.Riya thinks of a number, multiplies it by 7 and then adds 13. The result is 20. What is the number?
  11. 11.Solve: 9n + 11 = 38. What is n?
  12. 12.Solve: x/6 + 12 = 14. What is x?
  13. 13.Solve: 3y + 20 = 23. What is y?
  14. 14.Solve: 8y − 12 = 4. What is y?
  15. 15.Nisha thinks of a number, multiplies it by 9 and then adds 27. The result is 63. What is the number?
  16. 16.Solve: 2(x + 4) = 10. What is x?
  17. 17.Karan thinks of a number, multiplies it by 7 and then adds 16. The result is 37. What is the number?
  18. 18.Solve: y/9 + 4 = 14. What is y?
  19. 19.Solve: 9t − 16 = 2. What is t?
  20. 20.Solve: 5t − 4 = 6. What is t?
  21. 21.Solve: 3n + 17 = 35. What is n?
  22. 22.Solve: 5(y + 4) = 40. What is y?
  23. 23.Solve: 8p − 12 = 44. What is p?
  24. 24.Solve: 8p − 6 = 2. What is p?
  25. 25.Solve: 2y − 3 = 1. What is y?
  26. 26.Solve: 2p − 13 = 1. What is p?
  27. 27.Aarav thinks of a number, multiplies it by 5 and then adds 2. The result is 27. What is the number?
  28. 28.Vivaan is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  29. 29.Aditya is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  30. 30.Solve: 4t + 6 = 10. What is t?
  31. 31.Solve: 7m − 10 = 4. What is m?
  32. 32.Kabir’s mother is twice as old as Kabir. Their ages add up to 24 years. How old is Kabir?
  33. 33.Solve: 6x − 15 = 51. What is x?
  34. 34.Isha is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  35. 35.Solve: 2m − 5 = 7. What is m?
  36. 36.Solve: y/4 + 5 = 12. What is y?
  37. 37.Solve: m/6 + 2 = 13. What is m?
  38. 38.Solve: t/7 + 3 = 12. What is t?
  39. 39.Arjun is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  40. 40.Solve: 6n − 20 = 22. What is n?

Answer key

  1. 5
  2. 10
  3. 3
  4. 13
  5. 4
  6. 3
  7. 5
  8. 12
  9. 1
  10. 1
  11. 3
  12. 12
  13. 1
  14. 2
  15. 4
  16. 1
  17. 3
  18. 90
  19. 2
  20. 2
  21. 6
  22. 4
  23. 7
  24. 1
  25. 2
  26. 7
  27. 5
  28. 6
  29. 10
  30. 1
  31. 2
  32. 8
  33. 11
  34. 8
  35. 6
  36. 28
  37. 66
  38. 63
  39. 14
  40. 7

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