← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 218 · 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: 6y + 7 = 97. What is y?
  2. 2.Solve: 8y − 15 = 1. What is y?
  3. 3.Dev is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  4. 4.Solve: 3(x + 5) = 39. What is x?
  5. 5.Farhan thinks of a number, multiplies it by 2 and then adds 4. The result is 18. What is the number?
  6. 6.Solve: y/7 + 19 = 34. What is y?
  7. 7.Solve: n/2 + 19 = 27. What is n?
  8. 8.Solve: 8n + 17 = 73. What is n?
  9. 9.Solve: x/5 + 16 = 25. What is x?
  10. 10.Solve: 6n + 21 = 33. What is n?
  11. 11.Solve: 7x − 5 = 2. What is x?
  12. 12.Kabir thinks of a number, multiplies it by 7 and then adds 27. The result is 97. What is the number?
  13. 13.Solve: 8(p + 7) = 160. What is p?
  14. 14.Solve: 6t − 4 = 14. What is t?
  15. 15.Solve: 9(x + 9) = 207. What is x?
  16. 16.Solve: 8m + 16 = 128. What is m?
  17. 17.Rahul is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  18. 18.Farhan’s mother is four times as old as Farhan. Their ages add up to 30 years. How old is Farhan?
  19. 19.Solve: 5(m + 8) = 45. What is m?
  20. 20.Farhan’s mother is three times as old as Farhan. Their ages add up to 16 years. How old is Farhan?
  21. 21.Isha thinks of a number, multiplies it by 4 and then adds 21. The result is 45. What is the number?
  22. 22.Solve: 3n + 9 = 24. What is n?
  23. 23.Solve: 8(p + 2) = 64. What is p?
  24. 24.Priya’s mother is twice as old as Priya. Their ages add up to 33 years. How old is Priya?
  25. 25.Meera thinks of a number, multiplies it by 9 and then adds 13. The result is 67. What is the number?
  26. 26.Solve: 7x − 41 = 22. What is x?
  27. 27.Solve: 6(m + 3) = 90. What is m?
  28. 28.Manav is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  29. 29.Solve: 3x + 8 = 11. What is x?
  30. 30.Solve: 2t + 15 = 33. What is t?
  31. 31.Solve: 3p + 3 = 33. What is p?
  32. 32.Solve: 5t + 19 = 39. What is t?
  33. 33.Kabir’s mother is twice as old as Kabir. Their ages add up to 42 years. How old is Kabir?
  34. 34.Solve: 6(m + 5) = 42. What is m?
  35. 35.Sneha is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  36. 36.Meera thinks of a number, multiplies it by 5 and then adds 29. The result is 79. What is the number?
  37. 37.Solve: 4y + 4 = 16. What is y?
  38. 38.Solve: 3x − 14 = 31. What is x?
  39. 39.Solve: 4(t + 5) = 52. What is t?
  40. 40.Solve: 4p − 9 = 7. What is p?

Answer key

  1. 15
  2. 2
  3. 13
  4. 8
  5. 7
  6. 105
  7. 16
  8. 7
  9. 45
  10. 2
  11. 1
  12. 10
  13. 13
  14. 3
  15. 14
  16. 14
  17. 14
  18. 6
  19. 1
  20. 4
  21. 6
  22. 5
  23. 6
  24. 11
  25. 6
  26. 9
  27. 12
  28. 13
  29. 1
  30. 9
  31. 10
  32. 4
  33. 14
  34. 2
  35. 6
  36. 10
  37. 3
  38. 15
  39. 8
  40. 4

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