← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 274 · 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.Zoya thinks of a number, multiplies it by 8 and then adds 13. The result is 69. What is the number?
  2. 2.Solve: y/2 + 2 = 16. What is y?
  3. 3.Solve: 8(y + 9) = 96. What is y?
  4. 4.Solve: 6x − 46 = 32. What is x?
  5. 5.Priya’s mother is four times as old as Priya. Their ages add up to 50 years. How old is Priya?
  6. 6.Solve: 9t − 85 = 5. What is t?
  7. 7.Solve: 7(x + 9) = 133. What is x?
  8. 8.Solve: 7m − 35 = 28. What is m?
  9. 9.Solve: 3m + 30 = 63. What is m?
  10. 10.Solve: 5p + 27 = 62. What is p?
  11. 11.Solve: t/6 + 14 = 16. What is t?
  12. 12.Solve: 3t − 3 = 9. What is t?
  13. 13.Dev’s mother is three times as old as Dev. Their ages add up to 24 years. How old is Dev?
  14. 14.Solve: 3y + 8 = 41. What is y?
  15. 15.Saanvi thinks of a number, multiplies it by 3 and then adds 13. The result is 25. What is the number?
  16. 16.Solve: p/9 + 7 = 16. What is p?
  17. 17.Solve: 2(t + 1) = 6. What is t?
  18. 18.Solve: y/7 + 20 = 23. What is y?
  19. 19.Solve: x/4 + 5 = 17. What is x?
  20. 20.Ananya’s mother is twice as old as Ananya. Their ages add up to 12 years. How old is Ananya?
  21. 21.Aarav thinks of a number, multiplies it by 7 and then adds 30. The result is 135. What is the number?
  22. 22.Solve: 4(t + 3) = 24. What is t?
  23. 23.Solve: 5(p + 7) = 65. What is p?
  24. 24.Solve: 8m + 13 = 61. What is m?
  25. 25.Solve: 9(y + 6) = 126. What is y?
  26. 26.Saanvi is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  27. 27.Solve: 9p − 1 = 26. What is p?
  28. 28.Solve: 3(n + 2) = 42. What is n?
  29. 29.Solve: 5n − 24 = 36. What is n?
  30. 30.Solve: 2(y + 4) = 12. What is y?
  31. 31.Solve: 2t − 21 = 5. What is t?
  32. 32.Aditya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  33. 33.Solve: 4(x + 3) = 20. What is x?
  34. 34.Solve: 7t + 3 = 45. What is t?
  35. 35.Diya’s mother is three times as old as Diya. Their ages add up to 32 years. How old is Diya?
  36. 36.Solve: x/3 + 14 = 18. What is x?
  37. 37.Solve: 8m − 44 = 28. What is m?
  38. 38.Farhan thinks of a number, multiplies it by 3 and then adds 29. The result is 38. What is the number?
  39. 39.Solve: 7y + 9 = 86. What is y?
  40. 40.Solve: 4m − 6 = 2. What is m?

Answer key

  1. 7
  2. 28
  3. 3
  4. 13
  5. 10
  6. 10
  7. 10
  8. 9
  9. 11
  10. 7
  11. 12
  12. 4
  13. 6
  14. 11
  15. 4
  16. 81
  17. 2
  18. 21
  19. 48
  20. 4
  21. 15
  22. 3
  23. 6
  24. 6
  25. 8
  26. 8
  27. 3
  28. 12
  29. 12
  30. 2
  31. 13
  32. 12
  33. 2
  34. 6
  35. 8
  36. 12
  37. 9
  38. 3
  39. 11
  40. 2

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