← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 962 · 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: n/8 + 6 = 21. What is n?
  2. 2.Solve: 9t − 10 = 8. What is t?
  3. 3.Solve: 6y + 6 = 24. What is y?
  4. 4.Solve: 9n − 5 = 31. What is n?
  5. 5.Nisha thinks of a number, multiplies it by 3 and then adds 25. The result is 37. What is the number?
  6. 6.Solve: 2x + 20 = 44. What is x?
  7. 7.Rahul is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  8. 8.Solve: 4n − 4 = 8. What is n?
  9. 9.Solve: p/8 + 15 = 17. What is p?
  10. 10.Solve: 8t + 8 = 88. What is t?
  11. 11.Solve: 5m − 26 = 19. What is m?
  12. 12.Meera thinks of a number, multiplies it by 9 and then adds 7. The result is 97. What is the number?
  13. 13.Karan is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  14. 14.Solve: 8x − 7 = 1. What is x?
  15. 15.Solve: 5x − 1 = 9. What is x?
  16. 16.Solve: 2y + 28 = 52. What is y?
  17. 17.Rahul thinks of a number, multiplies it by 4 and then adds 5. The result is 13. What is the number?
  18. 18.Solve: 4x − 13 = 47. What is x?
  19. 19.Priya’s mother is four times as old as Priya. Their ages add up to 35 years. How old is Priya?
  20. 20.Solve: 7x + 26 = 75. What is x?
  21. 21.Solve: 4y − 13 = 11. What is y?
  22. 22.Ishaan is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  23. 23.Solve: m/9 + 1 = 7. What is m?
  24. 24.Solve: 7(t + 9) = 91. What is t?
  25. 25.Farhan thinks of a number, multiplies it by 5 and then adds 17. The result is 87. What is the number?
  26. 26.Solve: 4m − 31 = 1. What is m?
  27. 27.Solve: 8n − 13 = 91. What is n?
  28. 28.Solve: 2x − 24 = 6. What is x?
  29. 29.Aditya thinks of a number, multiplies it by 2 and then adds 12. The result is 38. What is the number?
  30. 30.Solve: m/4 + 2 = 7. What is m?
  31. 31.Aditya thinks of a number, multiplies it by 6 and then adds 28. The result is 82. What is the number?
  32. 32.Solve: 9(t + 5) = 72. What is t?
  33. 33.Sneha is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  34. 34.Aarav is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  35. 35.Solve: 8x + 1 = 105. What is x?
  36. 36.Solve: 8(y + 3) = 64. What is y?
  37. 37.Sneha is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  38. 38.Solve: 4(t + 2) = 44. What is t?
  39. 39.Solve: 6m + 2 = 68. What is m?
  40. 40.Solve: 3x − 3 = 12. What is x?

Answer key

  1. 120
  2. 2
  3. 3
  4. 4
  5. 4
  6. 12
  7. 9
  8. 3
  9. 16
  10. 10
  11. 9
  12. 10
  13. 7
  14. 1
  15. 2
  16. 12
  17. 2
  18. 15
  19. 7
  20. 7
  21. 6
  22. 15
  23. 54
  24. 4
  25. 14
  26. 8
  27. 13
  28. 15
  29. 13
  30. 20
  31. 9
  32. 3
  33. 5
  34. 9
  35. 13
  36. 5
  37. 15
  38. 9
  39. 11
  40. 5

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