← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 235 · 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: 8x − 64 = 24. What is x?
  2. 2.Solve: x/5 + 6 = 18. What is x?
  3. 3.Manav’s mother is four times as old as Manav. Their ages add up to 45 years. How old is Manav?
  4. 4.Solve: 3(t + 7) = 54. What is t?
  5. 5.Aditya thinks of a number, multiplies it by 6 and then adds 10. The result is 34. What is the number?
  6. 6.Rahul’s mother is four times as old as Rahul. Their ages add up to 20 years. How old is Rahul?
  7. 7.Solve: 4(p + 5) = 60. What is p?
  8. 8.Solve: 3m + 12 = 57. What is m?
  9. 9.Gurpreet thinks of a number, multiplies it by 9 and then adds 21. The result is 102. What is the number?
  10. 10.Solve: 5(n + 9) = 115. What is n?
  11. 11.Solve: 4n − 38 = 6. What is n?
  12. 12.Solve: 3(x + 1) = 6. What is x?
  13. 13.Solve: 9x − 119 = 7. What is x?
  14. 14.Solve: 9(n + 1) = 18. What is n?
  15. 15.Solve: 4(m + 5) = 32. What is m?
  16. 16.Solve: 6n + 22 = 70. What is n?
  17. 17.Meera is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  18. 18.Solve: 2m − 4 = 10. What is m?
  19. 19.Isha thinks of a number, multiplies it by 4 and then adds 18. The result is 42. What is the number?
  20. 20.Meera is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  21. 21.Solve: x/6 + 10 = 15. What is x?
  22. 22.Saanvi is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  23. 23.Lakshmi thinks of a number, multiplies it by 3 and then adds 25. The result is 58. What is the number?
  24. 24.Solve: 3(x + 1) = 24. What is x?
  25. 25.Kavya thinks of a number, multiplies it by 9 and then adds 17. The result is 80. What is the number?
  26. 26.Riya thinks of a number, multiplies it by 5 and then adds 1. The result is 36. What is the number?
  27. 27.Solve: 5(x + 3) = 90. What is x?
  28. 28.Solve: p/2 + 12 = 14. What is p?
  29. 29.Solve: y/8 + 1 = 9. What is y?
  30. 30.Solve: 2p − 10 = 4. What is p?
  31. 31.Solve: 8(y + 1) = 64. What is y?
  32. 32.Solve: 7m + 10 = 101. What is m?
  33. 33.Solve: n/9 + 4 = 12. What is n?
  34. 34.Solve: 5x − 1 = 4. What is x?
  35. 35.Solve: 8y + 10 = 26. What is y?
  36. 36.Diya’s mother is three times as old as Diya. Their ages add up to 20 years. How old is Diya?
  37. 37.Ananya thinks of a number, multiplies it by 3 and then adds 23. The result is 62. What is the number?
  38. 38.Solve: p/3 + 2 = 3. What is p?
  39. 39.Solve: 7(p + 6) = 49. What is p?
  40. 40.Solve: 5m − 32 = 13. What is m?

Answer key

  1. 11
  2. 60
  3. 9
  4. 11
  5. 4
  6. 4
  7. 10
  8. 15
  9. 9
  10. 14
  11. 11
  12. 1
  13. 14
  14. 1
  15. 3
  16. 8
  17. 15
  18. 7
  19. 6
  20. 14
  21. 30
  22. 6
  23. 11
  24. 7
  25. 7
  26. 7
  27. 15
  28. 4
  29. 64
  30. 7
  31. 7
  32. 13
  33. 72
  34. 1
  35. 2
  36. 5
  37. 13
  38. 3
  39. 1
  40. 9

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