← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 187 · 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: 2y + 23 = 39. What is y?
  2. 2.Solve: 3(x + 2) = 42. What is x?
  3. 3.Dev’s mother is three times as old as Dev. Their ages add up to 24 years. How old is Dev?
  4. 4.Lakshmi thinks of a number, multiplies it by 6 and then adds 6. The result is 12. What is the number?
  5. 5.Solve: 2x − 5 = 7. What is x?
  6. 6.Solve: 4m + 6 = 50. What is m?
  7. 7.Solve: 2n + 13 = 25. What is n?
  8. 8.Kavya is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  9. 9.Priya’s mother is three times as old as Priya. Their ages add up to 24 years. How old is Priya?
  10. 10.Meera’s mother is four times as old as Meera. Their ages add up to 40 years. How old is Meera?
  11. 11.Solve: 6x + 12 = 36. What is x?
  12. 12.Solve: 5y + 17 = 87. What is y?
  13. 13.Farhan’s mother is twice as old as Farhan. Their ages add up to 24 years. How old is Farhan?
  14. 14.Pooja thinks of a number, multiplies it by 8 and then adds 29. The result is 69. What is the number?
  15. 15.Diya is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  16. 16.Solve: 3(y + 8) = 66. What is y?
  17. 17.Solve: 7(y + 5) = 133. What is y?
  18. 18.Solve: n/3 + 2 = 14. What is n?
  19. 19.Joseph thinks of a number, multiplies it by 2 and then adds 4. The result is 12. What is the number?
  20. 20.Priya’s mother is twice as old as Priya. Their ages add up to 42 years. How old is Priya?
  21. 21.Solve: 9(m + 9) = 90. What is m?
  22. 22.Kabir’s mother is three times as old as Kabir. Their ages add up to 56 years. How old is Kabir?
  23. 23.Riya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  24. 24.Solve: 4x − 6 = 42. What is x?
  25. 25.Diya is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  26. 26.Solve: x/7 + 1 = 10. What is x?
  27. 27.Solve: 7y − 3 = 74. What is y?
  28. 28.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 45 years. How old is Lakshmi?
  29. 29.Aarav’s mother is three times as old as Aarav. Their ages add up to 44 years. How old is Aarav?
  30. 30.Solve: x/7 + 4 = 10. What is x?
  31. 31.Solve: p/6 + 14 = 17. What is p?
  32. 32.Solve: y/6 + 2 = 6. What is y?
  33. 33.Solve: 8n − 82 = 22. What is n?
  34. 34.Rahul is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  35. 35.Solve: 9t + 9 = 18. What is t?
  36. 36.Diya thinks of a number, multiplies it by 6 and then adds 16. The result is 40. What is the number?
  37. 37.Ananya thinks of a number, multiplies it by 8 and then adds 21. The result is 141. What is the number?
  38. 38.Solve: 7(y + 9) = 77. What is y?
  39. 39.Solve: 3m + 20 = 26. What is m?
  40. 40.Ananya is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?

Answer key

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

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