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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 782 · 40 sums
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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: 3x − 3 = 9. What is x?
  2. 2.Solve: 3(t + 3) = 21. What is t?
  3. 3.Solve: 2p − 4 = 22. What is p?
  4. 4.Solve: 2(n + 7) = 34. What is n?
  5. 5.Solve: 8m + 16 = 88. What is m?
  6. 6.Farhan thinks of a number, multiplies it by 4 and then adds 18. The result is 74. What is the number?
  7. 7.Ananya thinks of a number, multiplies it by 4 and then adds 30. The result is 34. What is the number?
  8. 8.Solve: 6x − 9 = 27. What is x?
  9. 9.Solve: p/7 + 18 = 20. What is p?
  10. 10.Ananya is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  11. 11.Solve: 9(x + 8) = 189. What is x?
  12. 12.Ishaan thinks of a number, multiplies it by 4 and then adds 13. The result is 53. What is the number?
  13. 13.Solve: 9(n + 3) = 63. What is n?
  14. 14.Solve: 4(y + 7) = 52. What is y?
  15. 15.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 27 years. How old is Saanvi?
  16. 16.Solve: 2y − 11 = 5. What is y?
  17. 17.Solve: 9(x + 1) = 72. What is x?
  18. 18.Solve: 5t − 2 = 3. What is t?
  19. 19.Solve: y/7 + 1 = 3. What is y?
  20. 20.Solve: 4y + 7 = 59. What is y?
  21. 21.Solve: 5p − 29 = 21. What is p?
  22. 22.Solve: 3x − 29 = 1. What is x?
  23. 23.Solve: 6(n + 4) = 78. What is n?
  24. 24.Solve: 6p − 31 = 47. What is p?
  25. 25.Saanvi thinks of a number, multiplies it by 8 and then adds 20. The result is 100. What is the number?
  26. 26.Solve: 8x − 56 = 40. What is x?
  27. 27.Solve: 4m − 16 = 16. What is m?
  28. 28.Joseph thinks of a number, multiplies it by 4 and then adds 13. The result is 45. What is the number?
  29. 29.Solve: 7n − 10 = 11. What is n?
  30. 30.Solve: 9p + 9 = 135. What is p?
  31. 31.Karan thinks of a number, multiplies it by 7 and then adds 25. The result is 74. What is the number?
  32. 32.Solve: t/7 + 5 = 17. What is t?
  33. 33.Solve: 7(n + 3) = 112. What is n?
  34. 34.Solve: 6y + 19 = 49. What is y?
  35. 35.Solve: 3p + 21 = 24. What is p?
  36. 36.Ananya thinks of a number, multiplies it by 3 and then adds 2. The result is 11. What is the number?
  37. 37.Solve: t/9 + 14 = 18. What is t?
  38. 38.Solve: n/2 + 2 = 4. What is n?
  39. 39.Solve: 3x − 3 = 6. What is x?
  40. 40.Solve: 3p + 5 = 26. What is p?

Answer key

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

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