← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 108 · 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.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 60 years. How old is Ishaan?
  2. 2.Solve: m/6 + 19 = 24. What is m?
  3. 3.Solve: 4p + 18 = 74. What is p?
  4. 4.Solve: m/4 + 6 = 14. What is m?
  5. 5.Solve: 2(p + 2) = 30. What is p?
  6. 6.Solve: 6x − 30 = 12. What is x?
  7. 7.Solve: p/4 + 3 = 12. What is p?
  8. 8.Solve: 2t − 11 = 5. What is t?
  9. 9.Ananya is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  10. 10.Solve: 3n − 5 = 4. What is n?
  11. 11.Solve: n/4 + 1 = 14. What is n?
  12. 12.Solve: 8m + 13 = 109. What is m?
  13. 13.Solve: y/9 + 7 = 18. What is y?
  14. 14.Sneha thinks of a number, multiplies it by 4 and then adds 25. The result is 41. What is the number?
  15. 15.Solve: 7t − 77 = 14. What is t?
  16. 16.Solve: 5n + 23 = 53. What is n?
  17. 17.Solve: 2y − 9 = 21. What is y?
  18. 18.Solve: 9p + 15 = 42. What is p?
  19. 19.Solve: 8(t + 5) = 56. What is t?
  20. 20.Gurpreet thinks of a number, multiplies it by 5 and then adds 28. The result is 43. What is the number?
  21. 21.Gurpreet thinks of a number, multiplies it by 7 and then adds 9. The result is 107. What is the number?
  22. 22.Manav thinks of a number, multiplies it by 9 and then adds 15. The result is 105. What is the number?
  23. 23.Solve: 6y − 8 = 40. What is y?
  24. 24.Solve: 2n + 21 = 27. What is n?
  25. 25.Solve: 2p − 8 = 6. What is p?
  26. 26.Solve: 3t + 24 = 30. What is t?
  27. 27.Solve: 6n + 13 = 19. What is n?
  28. 28.Solve: m/2 + 19 = 25. What is m?
  29. 29.Solve: 2t + 22 = 34. What is t?
  30. 30.Solve: 6x + 15 = 27. What is x?
  31. 31.Solve: 4x − 2 = 14. What is x?
  32. 32.Solve: x/4 + 13 = 24. What is x?
  33. 33.Manav’s mother is four times as old as Manav. Their ages add up to 70 years. How old is Manav?
  34. 34.Solve: 8x + 30 = 142. What is x?
  35. 35.Solve: 3y + 3 = 12. What is y?
  36. 36.Solve: 3m + 20 = 23. What is m?
  37. 37.Kabir is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  38. 38.Solve: 9n + 16 = 142. What is n?
  39. 39.Rohan’s mother is four times as old as Rohan. Their ages add up to 35 years. How old is Rohan?
  40. 40.Gurpreet thinks of a number, multiplies it by 4 and then adds 21. The result is 41. What is the number?

Answer key

  1. 12
  2. 30
  3. 14
  4. 32
  5. 13
  6. 7
  7. 36
  8. 8
  9. 5
  10. 3
  11. 52
  12. 12
  13. 99
  14. 4
  15. 13
  16. 6
  17. 15
  18. 3
  19. 2
  20. 3
  21. 14
  22. 10
  23. 8
  24. 3
  25. 7
  26. 2
  27. 1
  28. 12
  29. 6
  30. 2
  31. 4
  32. 44
  33. 14
  34. 14
  35. 3
  36. 1
  37. 14
  38. 14
  39. 7
  40. 5

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