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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 886 · 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: 7t + 30 = 114. What is t?
  2. 2.Solve: p/2 + 10 = 13. What is p?
  3. 3.Manav’s mother is four times as old as Manav. Their ages add up to 65 years. How old is Manav?
  4. 4.Solve: 6(n + 3) = 72. What is n?
  5. 5.Saanvi thinks of a number, multiplies it by 9 and then adds 16. The result is 115. What is the number?
  6. 6.Solve: 6x − 47 = 7. What is x?
  7. 7.Solve: 8m + 6 = 110. What is m?
  8. 8.Aarav thinks of a number, multiplies it by 6 and then adds 21. The result is 51. What is the number?
  9. 9.Solve: n/4 + 7 = 13. What is n?
  10. 10.Solve: t/4 + 7 = 17. What is t?
  11. 11.Rohan thinks of a number, multiplies it by 8 and then adds 17. The result is 49. What is the number?
  12. 12.Solve: 8y + 11 = 91. What is y?
  13. 13.Rohan thinks of a number, multiplies it by 5 and then adds 13. The result is 33. What is the number?
  14. 14.Solve: 4t − 32 = 28. What is t?
  15. 15.Joseph thinks of a number, multiplies it by 6 and then adds 25. The result is 67. What is the number?
  16. 16.Priya thinks of a number, multiplies it by 8 and then adds 6. The result is 54. What is the number?
  17. 17.Solve: 9p + 3 = 93. What is p?
  18. 18.Priya thinks of a number, multiplies it by 3 and then adds 7. The result is 37. What is the number?
  19. 19.Solve: 7x − 12 = 2. What is x?
  20. 20.Solve: y/3 + 4 = 6. What is y?
  21. 21.Solve: 4(m + 6) = 76. What is m?
  22. 22.Solve: 3(t + 5) = 24. What is t?
  23. 23.Solve: 2x + 17 = 21. What is x?
  24. 24.Solve: n/3 + 7 = 21. What is n?
  25. 25.Solve: 8x + 19 = 91. What is x?
  26. 26.Solve: 7(t + 9) = 70. What is t?
  27. 27.Aditya’s mother is four times as old as Aditya. Their ages add up to 35 years. How old is Aditya?
  28. 28.Priya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  29. 29.Solve: 9x − 14 = 76. What is x?
  30. 30.Meera thinks of a number, multiplies it by 5 and then adds 29. The result is 54. What is the number?
  31. 31.Solve: 9(y + 3) = 36. What is y?
  32. 32.Solve: 6(y + 1) = 72. What is y?
  33. 33.Solve: 3(n + 2) = 27. What is n?
  34. 34.Solve: 7x − 6 = 22. What is x?
  35. 35.Solve: 3m − 15 = 21. What is m?
  36. 36.Solve: x/7 + 7 = 22. What is x?
  37. 37.Solve: y/6 + 7 = 21. What is y?
  38. 38.Solve: 8(x + 1) = 72. What is x?
  39. 39.Diya is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  40. 40.Solve: 6t − 20 = 46. What is t?

Answer key

  1. 12
  2. 6
  3. 13
  4. 9
  5. 11
  6. 9
  7. 13
  8. 5
  9. 24
  10. 40
  11. 4
  12. 10
  13. 4
  14. 15
  15. 7
  16. 6
  17. 10
  18. 10
  19. 2
  20. 6
  21. 13
  22. 3
  23. 2
  24. 42
  25. 9
  26. 1
  27. 7
  28. 7
  29. 10
  30. 5
  31. 1
  32. 11
  33. 7
  34. 4
  35. 12
  36. 105
  37. 84
  38. 8
  39. 5
  40. 11

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