← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 561 · 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: 7y − 45 = 4. What is y?
  2. 2.Solve: t/6 + 16 = 30. What is t?
  3. 3.Solve: 2t + 15 = 41. What is t?
  4. 4.Priya’s mother is twice as old as Priya. Their ages add up to 30 years. How old is Priya?
  5. 5.Gurpreet thinks of a number, multiplies it by 7 and then adds 13. The result is 104. What is the number?
  6. 6.Solve: n/9 + 17 = 20. What is n?
  7. 7.Solve: 5x − 32 = 3. What is x?
  8. 8.Farhan’s mother is twice as old as Farhan. Their ages add up to 21 years. How old is Farhan?
  9. 9.Solve: 6(t + 4) = 60. What is t?
  10. 10.Diya thinks of a number, multiplies it by 3 and then adds 27. The result is 42. What is the number?
  11. 11.Solve: t/9 + 4 = 6. What is t?
  12. 12.Solve: 3m − 5 = 1. What is m?
  13. 13.Solve: 5(m + 5) = 45. What is m?
  14. 14.Solve: 4m + 15 = 51. What is m?
  15. 15.Solve: 5(m + 1) = 65. What is m?
  16. 16.Solve: x/4 + 18 = 33. What is x?
  17. 17.Solve: 8(x + 6) = 128. What is x?
  18. 18.Priya’s mother is twice as old as Priya. Their ages add up to 42 years. How old is Priya?
  19. 19.Solve: 6x − 53 = 19. What is x?
  20. 20.Solve: 9y + 29 = 65. What is y?
  21. 21.Solve: 2x + 8 = 10. What is x?
  22. 22.Karan thinks of a number, multiplies it by 6 and then adds 5. The result is 17. What is the number?
  23. 23.Solve: y/3 + 6 = 18. What is y?
  24. 24.Solve: 2m + 11 = 15. What is m?
  25. 25.Solve: 9m + 23 = 86. What is m?
  26. 26.Solve: 4(x + 2) = 52. What is x?
  27. 27.Dev’s mother is twice as old as Dev. Their ages add up to 39 years. How old is Dev?
  28. 28.Solve: 8y + 18 = 114. What is y?
  29. 29.Solve: 4p − 7 = 41. What is p?
  30. 30.Solve: 9y − 10 = 53. What is y?
  31. 31.Solve: 2x + 7 = 9. What is x?
  32. 32.Solve: 8(n + 3) = 32. What is n?
  33. 33.Solve: 5n − 3 = 72. What is n?
  34. 34.Zoya’s mother is three times as old as Zoya. Their ages add up to 56 years. How old is Zoya?
  35. 35.Solve: 9m − 121 = 5. What is m?
  36. 36.Solve: 4x + 24 = 48. What is x?
  37. 37.Rahul is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  38. 38.Solve: t/5 + 2 = 4. What is t?
  39. 39.Solve: 7x + 9 = 65. What is x?
  40. 40.Solve: 2(x + 6) = 22. What is x?

Answer key

  1. 7
  2. 84
  3. 13
  4. 10
  5. 13
  6. 27
  7. 7
  8. 7
  9. 6
  10. 5
  11. 18
  12. 2
  13. 4
  14. 9
  15. 12
  16. 60
  17. 10
  18. 14
  19. 12
  20. 4
  21. 1
  22. 2
  23. 36
  24. 2
  25. 7
  26. 11
  27. 13
  28. 12
  29. 12
  30. 7
  31. 1
  32. 1
  33. 15
  34. 14
  35. 14
  36. 6
  37. 5
  38. 10
  39. 8
  40. 5

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