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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 908 · 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: 5p + 25 = 90. What is p?
  2. 2.Lakshmi is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  3. 3.Solve: 7(x + 7) = 63. What is x?
  4. 4.Vivaan thinks of a number, multiplies it by 9 and then adds 6. The result is 24. What is the number?
  5. 5.Solve: n/8 + 13 = 21. What is n?
  6. 6.Solve: x/4 + 19 = 28. What is x?
  7. 7.Solve: 8n + 15 = 111. What is n?
  8. 8.Solve: 6t − 33 = 9. What is t?
  9. 9.Solve: 9n + 28 = 37. What is n?
  10. 10.Solve: 7n − 42 = 42. What is n?
  11. 11.Solve: 5(t + 7) = 110. What is t?
  12. 12.Rohan thinks of a number, multiplies it by 5 and then adds 27. The result is 32. What is the number?
  13. 13.Riya is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  14. 14.Solve: 9(n + 1) = 54. What is n?
  15. 15.Manav thinks of a number, multiplies it by 7 and then adds 1. The result is 106. What is the number?
  16. 16.Solve: 6m + 28 = 118. What is m?
  17. 17.Farhan is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  18. 18.Kavya’s mother is three times as old as Kavya. Their ages add up to 60 years. How old is Kavya?
  19. 19.Solve: 6n − 23 = 1. What is n?
  20. 20.Solve: 8p − 97 = 15. What is p?
  21. 21.Solve: 2y + 28 = 44. What is y?
  22. 22.Solve: 2(t + 8) = 18. What is t?
  23. 23.Solve: 5x − 44 = 6. What is x?
  24. 24.Solve: m/4 + 17 = 25. What is m?
  25. 25.Solve: 6p + 28 = 94. What is p?
  26. 26.Solve: 9m + 12 = 102. What is m?
  27. 27.Solve: 9(t + 8) = 117. What is t?
  28. 28.Solve: 2y + 27 = 39. What is y?
  29. 29.Priya thinks of a number, multiplies it by 3 and then adds 7. The result is 13. What is the number?
  30. 30.Solve: m/7 + 10 = 13. What is m?
  31. 31.Solve: 3n − 16 = 20. What is n?
  32. 32.Solve: 8y + 24 = 88. What is y?
  33. 33.Solve: 2y − 1 = 1. What is y?
  34. 34.Kavya’s mother is four times as old as Kavya. Their ages add up to 35 years. How old is Kavya?
  35. 35.Solve: 7n + 14 = 119. What is n?
  36. 36.Solve: 3p + 3 = 24. What is p?
  37. 37.Riya thinks of a number, multiplies it by 5 and then adds 4. The result is 49. What is the number?
  38. 38.Isha thinks of a number, multiplies it by 5 and then adds 10. The result is 55. What is the number?
  39. 39.Solve: 7n − 32 = 59. What is n?
  40. 40.Solve: m/6 + 6 = 13. What is m?

Answer key

  1. 13
  2. 6
  3. 2
  4. 2
  5. 64
  6. 36
  7. 12
  8. 7
  9. 1
  10. 12
  11. 15
  12. 1
  13. 10
  14. 5
  15. 15
  16. 15
  17. 4
  18. 15
  19. 4
  20. 14
  21. 8
  22. 1
  23. 10
  24. 32
  25. 11
  26. 10
  27. 5
  28. 6
  29. 2
  30. 21
  31. 12
  32. 8
  33. 1
  34. 7
  35. 15
  36. 7
  37. 9
  38. 9
  39. 13
  40. 42

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