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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 14 · 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.Joseph thinks of a number, multiplies it by 4 and then adds 13. The result is 45. What is the number?
  2. 2.Solve: 5(x + 2) = 55. What is x?
  3. 3.Diya thinks of a number, multiplies it by 6 and then adds 28. The result is 52. What is the number?
  4. 4.Solve: 8p − 55 = 17. What is p?
  5. 5.Priya thinks of a number, multiplies it by 4 and then adds 5. The result is 61. What is the number?
  6. 6.Solve: 6m + 23 = 53. What is m?
  7. 7.Solve: 2m − 13 = 17. What is m?
  8. 8.Solve: 5p + 14 = 69. What is p?
  9. 9.Solve: 3y − 9 = 21. What is y?
  10. 10.Joseph’s mother is four times as old as Joseph. Their ages add up to 30 years. How old is Joseph?
  11. 11.Solve: 9t − 11 = 34. What is t?
  12. 12.Riya thinks of a number, multiplies it by 8 and then adds 4. The result is 36. What is the number?
  13. 13.Solve: 8(x + 6) = 72. What is x?
  14. 14.Ishaan is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  15. 15.Arjun is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  16. 16.Ananya is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  17. 17.Rohan is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  18. 18.Solve: 6m − 79 = 5. What is m?
  19. 19.Farhan’s mother is twice as old as Farhan. Their ages add up to 15 years. How old is Farhan?
  20. 20.Aditya is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  21. 21.Solve: 6(n + 9) = 102. What is n?
  22. 22.Solve: 6n − 11 = 31. What is n?
  23. 23.Solve: x/4 + 5 = 17. What is x?
  24. 24.Gurpreet thinks of a number, multiplies it by 3 and then adds 12. The result is 51. What is the number?
  25. 25.Solve: 2m − 7 = 9. What is m?
  26. 26.Solve: 3m + 28 = 46. What is m?
  27. 27.Solve: 9m − 11 = 25. What is m?
  28. 28.Solve: 7(p + 5) = 91. What is p?
  29. 29.Solve: 7(t + 6) = 77. What is t?
  30. 30.Solve: 9t − 17 = 19. What is t?
  31. 31.Solve: 8x + 26 = 82. What is x?
  32. 32.Solve: t/9 + 2 = 5. What is t?
  33. 33.Joseph thinks of a number, multiplies it by 3 and then adds 12. The result is 48. What is the number?
  34. 34.Solve: 9(n + 4) = 153. What is n?
  35. 35.Solve: 5t + 3 = 23. What is t?
  36. 36.Solve: 6y − 12 = 24. What is y?
  37. 37.Tara’s mother is three times as old as Tara. Their ages add up to 16 years. How old is Tara?
  38. 38.Solve: 5n + 25 = 90. What is n?
  39. 39.Solve: 2x − 25 = 5. What is x?
  40. 40.Solve: 9p + 10 = 28. What is p?

Answer key

  1. 8
  2. 9
  3. 4
  4. 9
  5. 14
  6. 5
  7. 15
  8. 11
  9. 10
  10. 6
  11. 5
  12. 4
  13. 3
  14. 14
  15. 6
  16. 10
  17. 7
  18. 14
  19. 5
  20. 4
  21. 8
  22. 7
  23. 48
  24. 13
  25. 8
  26. 6
  27. 4
  28. 8
  29. 5
  30. 4
  31. 7
  32. 27
  33. 12
  34. 13
  35. 4
  36. 6
  37. 4
  38. 13
  39. 15
  40. 2

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