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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 331 · 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: 3m − 1 = 5. What is m?
  2. 2.Solve: 8p − 43 = 29. What is p?
  3. 3.Solve: 2m − 1 = 1. What is m?
  4. 4.Solve: 3y − 2 = 16. What is y?
  5. 5.Solve: 2m + 6 = 14. What is m?
  6. 6.Solve: 7t + 24 = 115. What is t?
  7. 7.Solve: 8x − 87 = 33. What is x?
  8. 8.Solve: 2p − 1 = 7. What is p?
  9. 9.Aditya thinks of a number, multiplies it by 8 and then adds 25. The result is 81. What is the number?
  10. 10.Solve: 3p − 11 = 1. What is p?
  11. 11.Meera’s mother is twice as old as Meera. Their ages add up to 18 years. How old is Meera?
  12. 12.Solve: 8(x + 1) = 24. What is x?
  13. 13.Solve: 8y + 11 = 83. What is y?
  14. 14.Solve: 6y + 2 = 26. What is y?
  15. 15.Diya thinks of a number, multiplies it by 2 and then adds 10. The result is 36. What is the number?
  16. 16.Solve: 9t − 4 = 5. What is t?
  17. 17.Solve: 4n + 22 = 50. What is n?
  18. 18.Solve: p/2 + 4 = 10. What is p?
  19. 19.Solve: 2p + 2 = 4. What is p?
  20. 20.Solve: 7(n + 2) = 105. What is n?
  21. 21.Solve: t/7 + 4 = 12. What is t?
  22. 22.Solve: 6p + 3 = 39. What is p?
  23. 23.Solve: 6n + 25 = 85. What is n?
  24. 24.Solve: t/4 + 12 = 14. What is t?
  25. 25.Solve: 3(t + 9) = 36. What is t?
  26. 26.Solve: 2x − 1 = 3. What is x?
  27. 27.Nisha is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  28. 28.Kabir’s mother is three times as old as Kabir. Their ages add up to 32 years. How old is Kabir?
  29. 29.Solve: y/6 + 7 = 10. What is y?
  30. 30.Solve: 3m + 8 = 38. What is m?
  31. 31.Ananya thinks of a number, multiplies it by 9 and then adds 27. The result is 90. What is the number?
  32. 32.Solve: 3p + 17 = 53. What is p?
  33. 33.Solve: 2(y + 3) = 26. What is y?
  34. 34.Tara thinks of a number, multiplies it by 8 and then adds 8. The result is 40. What is the number?
  35. 35.Solve: 8t + 7 = 23. What is t?
  36. 36.Solve: 7m − 37 = 5. What is m?
  37. 37.Riya thinks of a number, multiplies it by 2 and then adds 4. The result is 22. What is the number?
  38. 38.Solve: 7n + 26 = 61. What is n?
  39. 39.Ananya thinks of a number, multiplies it by 4 and then adds 28. The result is 88. What is the number?
  40. 40.Solve: 9(t + 4) = 171. What is t?

Answer key

  1. 2
  2. 9
  3. 1
  4. 6
  5. 4
  6. 13
  7. 15
  8. 4
  9. 7
  10. 4
  11. 6
  12. 2
  13. 9
  14. 4
  15. 13
  16. 1
  17. 7
  18. 12
  19. 1
  20. 13
  21. 56
  22. 6
  23. 10
  24. 8
  25. 3
  26. 2
  27. 12
  28. 8
  29. 18
  30. 10
  31. 7
  32. 12
  33. 10
  34. 4
  35. 2
  36. 6
  37. 9
  38. 5
  39. 15
  40. 15

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