← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 188 · 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.Zoya is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  2. 2.Solve: 2x − 1 = 3. What is x?
  3. 3.Aditya’s mother is three times as old as Aditya. Their ages add up to 32 years. How old is Aditya?
  4. 4.Solve: n/4 + 2 = 11. What is n?
  5. 5.Solve: 9y + 8 = 26. What is y?
  6. 6.Solve: 6x + 17 = 59. What is x?
  7. 7.Solve: 7(n + 3) = 35. What is n?
  8. 8.Solve: 9(x + 9) = 162. What is x?
  9. 9.Nisha thinks of a number, multiplies it by 9 and then adds 10. The result is 109. What is the number?
  10. 10.Solve: m/7 + 17 = 18. What is m?
  11. 11.Diya thinks of a number, multiplies it by 9 and then adds 27. The result is 81. What is the number?
  12. 12.Solve: 3y + 29 = 32. What is y?
  13. 13.Solve: 2p + 9 = 15. What is p?
  14. 14.Solve: t/7 + 18 = 22. What is t?
  15. 15.Solve: 4x + 2 = 18. What is x?
  16. 16.Solve: x/8 + 18 = 29. What is x?
  17. 17.Solve: 8m − 19 = 29. What is m?
  18. 18.Solve: n/3 + 20 = 28. What is n?
  19. 19.Ananya’s mother is three times as old as Ananya. Their ages add up to 40 years. How old is Ananya?
  20. 20.Solve: 9(x + 5) = 63. What is x?
  21. 21.Isha thinks of a number, multiplies it by 2 and then adds 9. The result is 21. What is the number?
  22. 22.Solve: 3p + 19 = 34. What is p?
  23. 23.Solve: 3n + 20 = 23. What is n?
  24. 24.Solve: 6t + 5 = 29. What is t?
  25. 25.Solve: m/3 + 17 = 30. What is m?
  26. 26.Solve: 4(m + 1) = 24. What is m?
  27. 27.Solve: t/2 + 9 = 17. What is t?
  28. 28.Solve: n/3 + 17 = 22. What is n?
  29. 29.Solve: 8y − 5 = 27. What is y?
  30. 30.Aarav’s mother is twice as old as Aarav. Their ages add up to 12 years. How old is Aarav?
  31. 31.Solve: 4y − 4 = 32. What is y?
  32. 32.Solve: 8n + 1 = 121. What is n?
  33. 33.Pooja is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  34. 34.Solve: y/4 + 16 = 17. What is y?
  35. 35.Solve: 6x + 8 = 26. What is x?
  36. 36.Solve: 7n + 22 = 50. What is n?
  37. 37.Solve: x/3 + 17 = 31. What is x?
  38. 38.Meera thinks of a number, multiplies it by 2 and then adds 22. The result is 24. What is the number?
  39. 39.Diya thinks of a number, multiplies it by 3 and then adds 4. The result is 40. What is the number?
  40. 40.Solve: 9n − 79 = 2. What is n?

Answer key

  1. 6
  2. 2
  3. 8
  4. 36
  5. 2
  6. 7
  7. 2
  8. 9
  9. 11
  10. 7
  11. 6
  12. 1
  13. 3
  14. 28
  15. 4
  16. 88
  17. 6
  18. 24
  19. 10
  20. 2
  21. 6
  22. 5
  23. 1
  24. 4
  25. 39
  26. 5
  27. 16
  28. 15
  29. 4
  30. 4
  31. 9
  32. 15
  33. 12
  34. 4
  35. 3
  36. 4
  37. 42
  38. 1
  39. 12
  40. 9

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