← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 858 · 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: 8t + 17 = 129. What is t?
  2. 2.Priya thinks of a number, multiplies it by 6 and then adds 21. The result is 99. What is the number?
  3. 3.Solve: 6y + 22 = 106. What is y?
  4. 4.Solve: 4m + 19 = 35. What is m?
  5. 5.Solve: 6t − 2 = 4. What is t?
  6. 6.Solve: 4x − 6 = 10. What is x?
  7. 7.Solve: 9y + 3 = 30. What is y?
  8. 8.Solve: 4x + 11 = 15. What is x?
  9. 9.Solve: 7x − 6 = 71. What is x?
  10. 10.Solve: 5(t + 2) = 35. What is t?
  11. 11.Aditya’s mother is three times as old as Aditya. Their ages add up to 48 years. How old is Aditya?
  12. 12.Solve: 4n + 21 = 69. What is n?
  13. 13.Solve: 3n − 29 = 13. What is n?
  14. 14.Solve: 3x − 26 = 1. What is x?
  15. 15.Arjun thinks of a number, multiplies it by 5 and then adds 12. The result is 47. What is the number?
  16. 16.Solve: n/8 + 14 = 20. What is n?
  17. 17.Solve: 5x + 12 = 52. What is x?
  18. 18.Manav thinks of a number, multiplies it by 4 and then adds 8. The result is 52. What is the number?
  19. 19.Solve: 2x + 6 = 8. What is x?
  20. 20.Ananya’s mother is twice as old as Ananya. Their ages add up to 21 years. How old is Ananya?
  21. 21.Solve: 9(y + 3) = 135. What is y?
  22. 22.Solve: 3t − 2 = 1. What is t?
  23. 23.Rahul thinks of a number, multiplies it by 8 and then adds 13. The result is 77. What is the number?
  24. 24.Joseph thinks of a number, multiplies it by 2 and then adds 25. The result is 27. What is the number?
  25. 25.Solve: 4y + 30 = 74. What is y?
  26. 26.Solve: 4y + 4 = 48. What is y?
  27. 27.Karan’s mother is four times as old as Karan. Their ages add up to 20 years. How old is Karan?
  28. 28.Solve: p/6 + 1 = 2. What is p?
  29. 29.Solve: p/7 + 11 = 12. What is p?
  30. 30.Solve: 3(n + 4) = 15. What is n?
  31. 31.Solve: x/2 + 5 = 19. What is x?
  32. 32.Solve: 4x − 23 = 13. What is x?
  33. 33.Manav thinks of a number, multiplies it by 7 and then adds 17. The result is 24. What is the number?
  34. 34.Solve: 5x − 15 = 15. What is x?
  35. 35.Solve: 4y − 34 = 18. What is y?
  36. 36.Solve: 6y + 29 = 83. What is y?
  37. 37.Solve: 5y − 7 = 53. What is y?
  38. 38.Solve: 7(y + 1) = 28. What is y?
  39. 39.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 42 years. How old is Ishaan?
  40. 40.Solve: 3m + 20 = 50. What is m?

Answer key

  1. 14
  2. 13
  3. 14
  4. 4
  5. 1
  6. 4
  7. 3
  8. 1
  9. 11
  10. 5
  11. 12
  12. 12
  13. 14
  14. 9
  15. 7
  16. 48
  17. 8
  18. 11
  19. 1
  20. 7
  21. 12
  22. 1
  23. 8
  24. 1
  25. 11
  26. 11
  27. 4
  28. 6
  29. 7
  30. 1
  31. 28
  32. 9
  33. 1
  34. 6
  35. 13
  36. 9
  37. 12
  38. 3
  39. 14
  40. 10

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