← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 603 · 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: 9(t + 9) = 198. What is t?
  2. 2.Solve: 4y + 23 = 35. What is y?
  3. 3.Solve: 7n + 19 = 47. What is n?
  4. 4.Pooja thinks of a number, multiplies it by 7 and then adds 2. The result is 72. What is the number?
  5. 5.Solve: 8y − 2 = 86. What is y?
  6. 6.Sneha is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  7. 7.Solve: 5m + 7 = 12. What is m?
  8. 8.Solve: 2x + 3 = 5. What is x?
  9. 9.Solve: 3x + 3 = 9. What is x?
  10. 10.Solve: 9n − 35 = 64. What is n?
  11. 11.Riya thinks of a number, multiplies it by 6 and then adds 29. The result is 65. What is the number?
  12. 12.Solve: 7(m + 6) = 119. What is m?
  13. 13.Solve: 6m − 16 = 32. What is m?
  14. 14.Solve: 3t + 26 = 35. What is t?
  15. 15.Solve: 2(n + 8) = 34. What is n?
  16. 16.Dev’s mother is twice as old as Dev. Their ages add up to 36 years. How old is Dev?
  17. 17.Solve: n/4 + 15 = 22. What is n?
  18. 18.Solve: 8n − 1 = 7. What is n?
  19. 19.Solve: 6m + 12 = 90. What is m?
  20. 20.Solve: 2m − 7 = 5. What is m?
  21. 21.Karan thinks of a number, multiplies it by 8 and then adds 14. The result is 126. What is the number?
  22. 22.Solve: 5x − 54 = 11. What is x?
  23. 23.Solve: 8x − 11 = 69. What is x?
  24. 24.Solve: 4n − 20 = 4. What is n?
  25. 25.Solve: 5(y + 3) = 70. What is y?
  26. 26.Joseph’s mother is three times as old as Joseph. Their ages add up to 28 years. How old is Joseph?
  27. 27.Solve: x/2 + 5 = 16. What is x?
  28. 28.Solve: 2t − 2 = 28. What is t?
  29. 29.Kavya’s mother is twice as old as Kavya. Their ages add up to 45 years. How old is Kavya?
  30. 30.Solve: m/8 + 17 = 29. What is m?
  31. 31.Solve: 6t + 17 = 107. What is t?
  32. 32.Solve: 2(m + 3) = 12. What is m?
  33. 33.Solve: 4p + 18 = 74. What is p?
  34. 34.Solve: 9x − 19 = 35. What is x?
  35. 35.Solve: 5t + 24 = 44. What is t?
  36. 36.Kabir thinks of a number, multiplies it by 3 and then adds 5. The result is 38. What is the number?
  37. 37.Solve: 9(y + 1) = 126. What is y?
  38. 38.Solve: m/4 + 9 = 14. What is m?
  39. 39.Nisha’s mother is twice as old as Nisha. Their ages add up to 33 years. How old is Nisha?
  40. 40.Solve: 3y − 22 = 17. What is y?

Answer key

  1. 13
  2. 3
  3. 4
  4. 10
  5. 11
  6. 13
  7. 1
  8. 1
  9. 2
  10. 11
  11. 6
  12. 11
  13. 8
  14. 3
  15. 9
  16. 12
  17. 28
  18. 1
  19. 13
  20. 6
  21. 14
  22. 13
  23. 10
  24. 6
  25. 11
  26. 7
  27. 22
  28. 15
  29. 15
  30. 96
  31. 15
  32. 3
  33. 14
  34. 6
  35. 4
  36. 11
  37. 13
  38. 20
  39. 11
  40. 13

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