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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 862 · 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: 7y + 14 = 91. What is y?
  2. 2.Solve: 9(t + 2) = 81. What is t?
  3. 3.Solve: 2(m + 8) = 28. What is m?
  4. 4.Isha is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  5. 5.Solve: 2(n + 6) = 34. What is n?
  6. 6.Rahul thinks of a number, multiplies it by 7 and then adds 18. The result is 88. What is the number?
  7. 7.Solve: 3p + 30 = 54. What is p?
  8. 8.Solve: 3n − 2 = 1. What is n?
  9. 9.Solve: 4m + 17 = 33. What is m?
  10. 10.Solve: 8(t + 8) = 176. What is t?
  11. 11.Solve: 6y − 25 = 5. What is y?
  12. 12.Solve: 9x − 44 = 19. What is x?
  13. 13.Solve: 7y − 60 = 24. What is y?
  14. 14.Solve: x/3 + 9 = 23. What is x?
  15. 15.Solve: 2x + 4 = 22. What is x?
  16. 16.Manav thinks of a number, multiplies it by 5 and then adds 18. The result is 23. What is the number?
  17. 17.Solve: 3p + 3 = 42. What is p?
  18. 18.Solve: 9p + 3 = 138. What is p?
  19. 19.Riya’s mother is four times as old as Riya. Their ages add up to 25 years. How old is Riya?
  20. 20.Solve: 3y − 22 = 17. What is y?
  21. 21.Solve: x/6 + 16 = 26. What is x?
  22. 22.Solve: 3(x + 5) = 42. What is x?
  23. 23.Solve: m/8 + 4 = 5. What is m?
  24. 24.Manav is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  25. 25.Solve: p/2 + 5 = 9. What is p?
  26. 26.Solve: 9m − 77 = 31. What is m?
  27. 27.Solve: x/6 + 10 = 13. What is x?
  28. 28.Solve: 6x − 15 = 33. What is x?
  29. 29.Solve: 7x + 26 = 75. What is x?
  30. 30.Ishaan thinks of a number, multiplies it by 3 and then adds 10. The result is 34. What is the number?
  31. 31.Ananya thinks of a number, multiplies it by 8 and then adds 6. The result is 46. What is the number?
  32. 32.Sneha thinks of a number, multiplies it by 6 and then adds 25. The result is 43. What is the number?
  33. 33.Solve: 5y − 25 = 10. What is y?
  34. 34.Solve: 3(t + 6) = 45. What is t?
  35. 35.Meera thinks of a number, multiplies it by 3 and then adds 12. The result is 57. What is the number?
  36. 36.Solve: y/2 + 4 = 10. What is y?
  37. 37.Meera is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  38. 38.Solve: 4m − 17 = 31. What is m?
  39. 39.Solve: 6n + 7 = 49. What is n?
  40. 40.Solve: 3x + 24 = 39. What is x?

Answer key

  1. 11
  2. 7
  3. 6
  4. 7
  5. 11
  6. 10
  7. 8
  8. 1
  9. 4
  10. 14
  11. 5
  12. 7
  13. 12
  14. 42
  15. 9
  16. 1
  17. 13
  18. 15
  19. 5
  20. 13
  21. 60
  22. 9
  23. 8
  24. 5
  25. 8
  26. 12
  27. 18
  28. 8
  29. 7
  30. 8
  31. 5
  32. 3
  33. 7
  34. 9
  35. 15
  36. 12
  37. 4
  38. 12
  39. 7
  40. 5

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