← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 312 · 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: 9(y + 5) = 99. What is y?
  2. 2.Solve: m/5 + 20 = 26. What is m?
  3. 3.Solve: 7t − 70 = 35. What is t?
  4. 4.Solve: m/5 + 6 = 19. What is m?
  5. 5.Manav’s mother is three times as old as Manav. Their ages add up to 32 years. How old is Manav?
  6. 6.Isha’s mother is twice as old as Isha. Their ages add up to 30 years. How old is Isha?
  7. 7.Solve: 3p − 14 = 25. What is p?
  8. 8.Solve: 4(t + 7) = 80. What is t?
  9. 9.Zoya’s mother is four times as old as Zoya. Their ages add up to 45 years. How old is Zoya?
  10. 10.Zoya’s mother is four times as old as Zoya. Their ages add up to 30 years. How old is Zoya?
  11. 11.Solve: 9t + 2 = 83. What is t?
  12. 12.Solve: 3(t + 8) = 27. What is t?
  13. 13.Ananya thinks of a number, multiplies it by 8 and then adds 30. The result is 62. What is the number?
  14. 14.Solve: 6x − 4 = 44. What is x?
  15. 15.Solve: 2(p + 9) = 28. What is p?
  16. 16.Nisha’s mother is three times as old as Nisha. Their ages add up to 56 years. How old is Nisha?
  17. 17.Solve: 6m − 77 = 7. What is m?
  18. 18.Farhan thinks of a number, multiplies it by 8 and then adds 21. The result is 61. What is the number?
  19. 19.Solve: 2(p + 8) = 24. What is p?
  20. 20.Kabir’s mother is twice as old as Kabir. Their ages add up to 21 years. How old is Kabir?
  21. 21.Solve: 8x − 2 = 14. What is x?
  22. 22.Solve: 6x + 21 = 57. What is x?
  23. 23.Priya is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  24. 24.Solve: 7x − 27 = 50. What is x?
  25. 25.Meera thinks of a number, multiplies it by 4 and then adds 28. The result is 52. What is the number?
  26. 26.Solve: 4(m + 1) = 48. What is m?
  27. 27.Manav thinks of a number, multiplies it by 2 and then adds 5. The result is 17. What is the number?
  28. 28.Solve: 3(t + 3) = 39. What is t?
  29. 29.Solve: 9(t + 8) = 108. What is t?
  30. 30.Solve: 2(p + 9) = 36. What is p?
  31. 31.Solve: 5(y + 6) = 50. What is y?
  32. 32.Solve: 2m − 2 = 2. What is m?
  33. 33.Solve: 6p − 39 = 51. What is p?
  34. 34.Solve: t/3 + 17 = 27. What is t?
  35. 35.Solve: 8(t + 8) = 104. What is t?
  36. 36.Solve: 6m + 18 = 78. What is m?
  37. 37.Arjun thinks of a number, multiplies it by 3 and then adds 2. The result is 14. What is the number?
  38. 38.Farhan thinks of a number, multiplies it by 5 and then adds 9. The result is 39. What is the number?
  39. 39.Pooja thinks of a number, multiplies it by 2 and then adds 19. The result is 33. What is the number?
  40. 40.Solve: 2(x + 1) = 6. What is x?

Answer key

  1. 6
  2. 30
  3. 15
  4. 65
  5. 8
  6. 10
  7. 13
  8. 13
  9. 9
  10. 6
  11. 9
  12. 1
  13. 4
  14. 8
  15. 5
  16. 14
  17. 14
  18. 5
  19. 4
  20. 7
  21. 2
  22. 6
  23. 7
  24. 11
  25. 6
  26. 11
  27. 6
  28. 10
  29. 4
  30. 9
  31. 4
  32. 2
  33. 15
  34. 30
  35. 5
  36. 10
  37. 4
  38. 6
  39. 7
  40. 2

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