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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 305 · 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: p/5 + 19 = 22. What is p?
  2. 2.Vivaan thinks of a number, multiplies it by 8 and then adds 3. The result is 83. What is the number?
  3. 3.Solve: 9(x + 6) = 126. What is x?
  4. 4.Manav thinks of a number, multiplies it by 8 and then adds 18. The result is 106. What is the number?
  5. 5.Karan thinks of a number, multiplies it by 9 and then adds 9. The result is 45. What is the number?
  6. 6.Solve: 6m − 13 = 5. What is m?
  7. 7.Joseph thinks of a number, multiplies it by 8 and then adds 15. The result is 31. What is the number?
  8. 8.Ishaan thinks of a number, multiplies it by 9 and then adds 6. The result is 60. What is the number?
  9. 9.Solve: 9p + 1 = 136. What is p?
  10. 10.Solve: 5y + 1 = 71. What is y?
  11. 11.Solve: 7n + 10 = 66. What is n?
  12. 12.Solve: 6t + 19 = 49. What is t?
  13. 13.Solve: 2(y + 7) = 44. What is y?
  14. 14.Vivaan is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  15. 15.Zoya thinks of a number, multiplies it by 3 and then adds 27. The result is 42. What is the number?
  16. 16.Solve: y/2 + 8 = 20. What is y?
  17. 17.Solve: 2(t + 2) = 26. What is t?
  18. 18.Solve: m/3 + 12 = 26. What is m?
  19. 19.Solve: 7m + 2 = 93. What is m?
  20. 20.Solve: 9y − 26 = 82. What is y?
  21. 21.Sneha thinks of a number, multiplies it by 3 and then adds 1. The result is 43. What is the number?
  22. 22.Solve: 3x − 27 = 6. What is x?
  23. 23.Solve: 9t − 8 = 10. What is t?
  24. 24.Karan is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  25. 25.Solve: 7t + 26 = 54. What is t?
  26. 26.Farhan thinks of a number, multiplies it by 5 and then adds 9. The result is 19. What is the number?
  27. 27.Solve: 3m − 5 = 1. What is m?
  28. 28.Priya’s mother is three times as old as Priya. Their ages add up to 36 years. How old is Priya?
  29. 29.Solve: 3t + 9 = 51. What is t?
  30. 30.Solve: 9t − 11 = 16. What is t?
  31. 31.Solve: y/4 + 3 = 4. What is y?
  32. 32.Zoya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  33. 33.Solve: 5p − 45 = 5. What is p?
  34. 34.Meera’s mother is four times as old as Meera. Their ages add up to 50 years. How old is Meera?
  35. 35.Ananya thinks of a number, multiplies it by 4 and then adds 29. The result is 61. What is the number?
  36. 36.Solve: p/3 + 15 = 27. What is p?
  37. 37.Solve: 4(x + 2) = 16. What is x?
  38. 38.Solve: 4n + 29 = 45. What is n?
  39. 39.Solve: 8t − 28 = 44. What is t?
  40. 40.Riya is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?

Answer key

  1. 15
  2. 10
  3. 8
  4. 11
  5. 4
  6. 3
  7. 2
  8. 6
  9. 15
  10. 14
  11. 8
  12. 5
  13. 15
  14. 7
  15. 5
  16. 24
  17. 11
  18. 42
  19. 13
  20. 12
  21. 14
  22. 11
  23. 2
  24. 7
  25. 4
  26. 2
  27. 2
  28. 9
  29. 14
  30. 3
  31. 4
  32. 6
  33. 10
  34. 10
  35. 8
  36. 36
  37. 2
  38. 4
  39. 9
  40. 5

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