← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 460 · 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 thinks of a number, multiplies it by 3 and then adds 13. The result is 19. What is the number?
  2. 2.Solve: 7p + 7 = 98. What is p?
  3. 3.Solve: 3m − 6 = 12. What is m?
  4. 4.Solve: 6x + 23 = 65. What is x?
  5. 5.Solve: 3(x + 6) = 33. What is x?
  6. 6.Solve: 3y − 2 = 1. What is y?
  7. 7.Solve: 8(t + 2) = 96. What is t?
  8. 8.Solve: 5(m + 3) = 25. What is m?
  9. 9.Arjun thinks of a number, multiplies it by 3 and then adds 27. The result is 33. What is the number?
  10. 10.Meera’s mother is three times as old as Meera. Their ages add up to 44 years. How old is Meera?
  11. 11.Farhan thinks of a number, multiplies it by 9 and then adds 4. The result is 85. What is the number?
  12. 12.Riya thinks of a number, multiplies it by 8 and then adds 21. The result is 93. What is the number?
  13. 13.Solve: 3x − 4 = 5. What is x?
  14. 14.Sneha thinks of a number, multiplies it by 2 and then adds 15. The result is 17. What is the number?
  15. 15.Solve: x/6 + 10 = 11. What is x?
  16. 16.Vivaan thinks of a number, multiplies it by 6 and then adds 4. The result is 34. What is the number?
  17. 17.Solve: 7p − 49 = 21. What is p?
  18. 18.Solve: 3m − 27 = 6. What is m?
  19. 19.Solve: 7y − 15 = 55. What is y?
  20. 20.Solve: 7(t + 6) = 70. What is t?
  21. 21.Solve: 2(t + 9) = 34. What is t?
  22. 22.Isha thinks of a number, multiplies it by 6 and then adds 21. The result is 105. What is the number?
  23. 23.Ananya thinks of a number, multiplies it by 2 and then adds 4. The result is 14. What is the number?
  24. 24.Farhan’s mother is three times as old as Farhan. Their ages add up to 60 years. How old is Farhan?
  25. 25.Solve: y/6 + 6 = 20. What is y?
  26. 26.Sneha’s mother is twice as old as Sneha. Their ages add up to 15 years. How old is Sneha?
  27. 27.Solve: n/5 + 5 = 11. What is n?
  28. 28.Solve: 3y − 1 = 41. What is y?
  29. 29.Solve: p/3 + 10 = 21. What is p?
  30. 30.Solve: 3y + 20 = 62. What is y?
  31. 31.Solve: 4(y + 3) = 32. What is y?
  32. 32.Arjun thinks of a number, multiplies it by 8 and then adds 8. The result is 64. What is the number?
  33. 33.Solve: y/9 + 6 = 14. What is y?
  34. 34.Solve: 3(x + 1) = 24. What is x?
  35. 35.Solve: p/2 + 3 = 13. What is p?
  36. 36.Solve: 2(x + 7) = 22. What is x?
  37. 37.Solve: 5n + 21 = 31. What is n?
  38. 38.Solve: 9t − 15 = 120. What is t?
  39. 39.Rahul thinks of a number, multiplies it by 4 and then adds 4. The result is 48. What is the number?
  40. 40.Solve: 2n + 16 = 46. What is n?

Answer key

  1. 2
  2. 13
  3. 6
  4. 7
  5. 5
  6. 1
  7. 10
  8. 2
  9. 2
  10. 11
  11. 9
  12. 9
  13. 3
  14. 1
  15. 6
  16. 5
  17. 10
  18. 11
  19. 10
  20. 4
  21. 8
  22. 14
  23. 5
  24. 15
  25. 84
  26. 5
  27. 30
  28. 14
  29. 33
  30. 14
  31. 5
  32. 7
  33. 72
  34. 7
  35. 20
  36. 4
  37. 2
  38. 15
  39. 11
  40. 15

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