← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 400 · 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.Rahul thinks of a number, multiplies it by 6 and then adds 2. The result is 20. What is the number?
  2. 2.Solve: y/3 + 5 = 9. What is y?
  3. 3.Riya thinks of a number, multiplies it by 4 and then adds 6. The result is 38. What is the number?
  4. 4.Solve: 6n + 1 = 79. What is n?
  5. 5.Isha thinks of a number, multiplies it by 2 and then adds 14. The result is 20. What is the number?
  6. 6.Ananya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  7. 7.Solve: 6(x + 7) = 54. What is x?
  8. 8.Solve: 5m + 8 = 63. What is m?
  9. 9.Solve: 3y − 2 = 4. What is y?
  10. 10.Solve: 2(t + 7) = 30. What is t?
  11. 11.Rohan thinks of a number, multiplies it by 4 and then adds 9. The result is 41. What is the number?
  12. 12.Solve: 8p + 6 = 78. What is p?
  13. 13.Solve: 3t − 2 = 1. What is t?
  14. 14.Dev thinks of a number, multiplies it by 8 and then adds 13. The result is 29. What is the number?
  15. 15.Solve: 9n + 25 = 88. What is n?
  16. 16.Solve: 2m − 1 = 1. What is m?
  17. 17.Solve: 4t − 12 = 28. What is t?
  18. 18.Solve: 4(n + 3) = 28. What is n?
  19. 19.Solve: 2y + 20 = 24. What is y?
  20. 20.Solve: p/8 + 3 = 6. What is p?
  21. 21.Solve: p/5 + 15 = 26. What is p?
  22. 22.Arjun thinks of a number, multiplies it by 9 and then adds 25. The result is 70. What is the number?
  23. 23.Solve: 6n − 17 = 13. What is n?
  24. 24.Solve: 2(n + 1) = 10. What is n?
  25. 25.Diya thinks of a number, multiplies it by 2 and then adds 16. The result is 22. What is the number?
  26. 26.Solve: 6(x + 3) = 24. What is x?
  27. 27.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 56 years. How old is Saanvi?
  28. 28.Gurpreet thinks of a number, multiplies it by 5 and then adds 27. The result is 87. What is the number?
  29. 29.Solve: 9(y + 7) = 189. What is y?
  30. 30.Solve: 6x + 21 = 51. What is x?
  31. 31.Solve: 3(m + 9) = 39. What is m?
  32. 32.Solve: 2x − 1 = 9. What is x?
  33. 33.Solve: 6t − 4 = 8. What is t?
  34. 34.Karan’s mother is twice as old as Karan. Their ages add up to 30 years. How old is Karan?
  35. 35.Manav thinks of a number, multiplies it by 9 and then adds 3. The result is 120. What is the number?
  36. 36.Solve: 4p − 1 = 39. What is p?
  37. 37.Aditya is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  38. 38.Solve: 2m + 18 = 24. What is m?
  39. 39.Solve: 3n + 10 = 13. What is n?
  40. 40.Aditya’s mother is four times as old as Aditya. Their ages add up to 60 years. How old is Aditya?

Answer key

  1. 3
  2. 12
  3. 8
  4. 13
  5. 3
  6. 6
  7. 2
  8. 11
  9. 2
  10. 8
  11. 8
  12. 9
  13. 1
  14. 2
  15. 7
  16. 1
  17. 10
  18. 4
  19. 2
  20. 24
  21. 55
  22. 5
  23. 5
  24. 4
  25. 3
  26. 1
  27. 14
  28. 12
  29. 14
  30. 5
  31. 4
  32. 5
  33. 2
  34. 10
  35. 13
  36. 10
  37. 11
  38. 3
  39. 1
  40. 12

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