← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 6 · 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: 3(m + 5) = 24. What is m?
  2. 2.Sneha thinks of a number, multiplies it by 9 and then adds 27. The result is 81. What is the number?
  3. 3.Solve: 6(p + 2) = 48. What is p?
  4. 4.Solve: 3x − 1 = 2. What is x?
  5. 5.Solve: t/3 + 7 = 16. What is t?
  6. 6.Tara thinks of a number, multiplies it by 6 and then adds 24. The result is 30. What is the number?
  7. 7.Rohan thinks of a number, multiplies it by 8 and then adds 14. The result is 54. What is the number?
  8. 8.Meera is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  9. 9.Solve: x/5 + 13 = 27. What is x?
  10. 10.Solve: 7y + 13 = 41. What is y?
  11. 11.Solve: y/5 + 11 = 13. What is y?
  12. 12.Aditya is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  13. 13.Solve: 5y − 6 = 39. What is y?
  14. 14.Solve: n/9 + 19 = 21. What is n?
  15. 15.Solve: 4n − 15 = 33. What is n?
  16. 16.Solve: n/9 + 10 = 20. What is n?
  17. 17.Solve: 4x + 2 = 10. What is x?
  18. 18.Solve: 7x + 11 = 46. What is x?
  19. 19.Solve: 8n + 8 = 24. What is n?
  20. 20.Solve: m/6 + 3 = 18. What is m?
  21. 21.Solve: 8m + 10 = 106. What is m?
  22. 22.Solve: 5(y + 9) = 75. What is y?
  23. 23.Solve: 3(y + 1) = 15. What is y?
  24. 24.Solve: 3p + 12 = 15. What is p?
  25. 25.Solve: p/3 + 13 = 16. What is p?
  26. 26.Aditya thinks of a number, multiplies it by 9 and then adds 25. The result is 142. What is the number?
  27. 27.Solve: 3(x + 3) = 15. What is x?
  28. 28.Solve: 8p − 93 = 3. What is p?
  29. 29.Tara thinks of a number, multiplies it by 8 and then adds 7. The result is 79. What is the number?
  30. 30.Solve: 9t − 43 = 11. What is t?
  31. 31.Saanvi is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  32. 32.Solve: 3(t + 7) = 33. What is t?
  33. 33.Nisha thinks of a number, multiplies it by 9 and then adds 22. The result is 121. What is the number?
  34. 34.Solve: m/3 + 18 = 21. What is m?
  35. 35.Solve: 9x − 28 = 8. What is x?
  36. 36.Solve: 3t − 17 = 1. What is t?
  37. 37.Solve: 3p − 8 = 1. What is p?
  38. 38.Solve: 3(t + 6) = 42. What is t?
  39. 39.Solve: 8t + 26 = 74. What is t?
  40. 40.Solve: 8p + 24 = 144. What is p?

Answer key

  1. 3
  2. 6
  3. 6
  4. 1
  5. 27
  6. 1
  7. 5
  8. 4
  9. 70
  10. 4
  11. 10
  12. 13
  13. 9
  14. 18
  15. 12
  16. 90
  17. 2
  18. 5
  19. 2
  20. 90
  21. 12
  22. 6
  23. 4
  24. 1
  25. 9
  26. 13
  27. 2
  28. 12
  29. 9
  30. 6
  31. 10
  32. 4
  33. 11
  34. 9
  35. 4
  36. 6
  37. 3
  38. 8
  39. 6
  40. 15

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