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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 76 · 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.

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  1. 1.Solve: 2y + 21 = 29. What is y?
  2. 2.Solve: 3p − 38 = 1. What is p?
  3. 3.Solve: n/8 + 4 = 15. What is n?
  4. 4.Vivaan thinks of a number, multiplies it by 8 and then adds 3. The result is 59. What is the number?
  5. 5.Solve: 8x − 36 = 76. What is x?
  6. 6.Solve: 7(t + 4) = 49. What is t?
  7. 7.Solve: 8t − 84 = 12. What is t?
  8. 8.Solve: 6t + 5 = 47. What is t?
  9. 9.Solve: 8x − 10 = 14. What is x?
  10. 10.Solve: 5n + 16 = 36. What is n?
  11. 11.Solve: 9(x + 4) = 108. What is x?
  12. 12.Solve: 2y − 7 = 1. What is y?
  13. 13.Solve: 9(p + 7) = 135. What is p?
  14. 14.Solve: 6(t + 3) = 78. What is t?
  15. 15.Solve: 5(m + 1) = 25. What is m?
  16. 16.Solve: 5p + 2 = 72. What is p?
  17. 17.Solve: 5n − 8 = 12. What is n?
  18. 18.Solve: 4y − 11 = 1. What is y?
  19. 19.Solve: y/9 + 20 = 23. What is y?
  20. 20.Solve: 2(p + 7) = 44. What is p?
  21. 21.Solve: 9x + 1 = 46. What is x?
  22. 22.Solve: 2p − 10 = 8. What is p?
  23. 23.Solve: y/7 + 20 = 27. What is y?
  24. 24.Solve: 9(y + 6) = 117. What is y?
  25. 25.Solve: 6(y + 3) = 72. What is y?
  26. 26.Solve: 2(y + 8) = 28. What is y?
  27. 27.Solve: 2t − 5 = 3. What is t?
  28. 28.Solve: 2(x + 4) = 22. What is x?
  29. 29.Solve: 3t + 5 = 11. What is t?
  30. 30.Solve: 7m + 7 = 63. What is m?
  31. 31.Solve: 9p + 7 = 79. What is p?
  32. 32.Solve: 6(m + 2) = 18. What is m?
  33. 33.Solve: 2n − 15 = 5. What is n?
  34. 34.Solve: p/3 + 15 = 18. What is p?
  35. 35.Solve: 4y + 18 = 58. What is y?
  36. 36.Solve: 9(n + 8) = 126. What is n?
  37. 37.Solve: 8(t + 1) = 96. What is t?
  38. 38.Solve: 3x − 7 = 20. What is x?
  39. 39.Saanvi thinks of a number, multiplies it by 3 and then adds 1. The result is 31. What is the number?
  40. 40.Diya thinks of a number, multiplies it by 9 and then adds 4. The result is 85. What is the number?

Answer key

  1. 4
  2. 13
  3. 88
  4. 7
  5. 14
  6. 3
  7. 12
  8. 7
  9. 3
  10. 4
  11. 8
  12. 4
  13. 8
  14. 10
  15. 4
  16. 14
  17. 4
  18. 3
  19. 27
  20. 15
  21. 5
  22. 9
  23. 49
  24. 7
  25. 9
  26. 6
  27. 4
  28. 7
  29. 2
  30. 8
  31. 8
  32. 1
  33. 10
  34. 9
  35. 10
  36. 6
  37. 11
  38. 9
  39. 10
  40. 9

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