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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 885 · 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: 7t + 22 = 106. What is t?
  2. 2.Solve: n/2 + 10 = 15. What is n?
  3. 3.Solve: y/5 + 13 = 21. What is y?
  4. 4.Nisha is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  5. 5.Solve: 3(m + 2) = 12. What is m?
  6. 6.Solve: 4x − 3 = 1. What is x?
  7. 7.Solve: 3n − 8 = 7. What is n?
  8. 8.Solve: 4p + 30 = 78. What is p?
  9. 9.Solve: 7m − 72 = 5. What is m?
  10. 10.Ananya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  11. 11.Ananya thinks of a number, multiplies it by 4 and then adds 3. The result is 27. What is the number?
  12. 12.Solve: m/6 + 11 = 21. What is m?
  13. 13.Joseph is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  14. 14.Solve: 7m + 12 = 96. What is m?
  15. 15.Solve: 3(n + 4) = 33. What is n?
  16. 16.Kavya thinks of a number, multiplies it by 3 and then adds 13. The result is 43. What is the number?
  17. 17.Dev thinks of a number, multiplies it by 5 and then adds 12. The result is 62. What is the number?
  18. 18.Solve: 3(x + 7) = 60. What is x?
  19. 19.Karan is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  20. 20.Isha thinks of a number, multiplies it by 4 and then adds 8. The result is 36. What is the number?
  21. 21.Meera thinks of a number, multiplies it by 3 and then adds 16. The result is 61. What is the number?
  22. 22.Solve: 9p + 4 = 31. What is p?
  23. 23.Solve: 4x + 5 = 17. What is x?
  24. 24.Solve: 4p − 1 = 19. What is p?
  25. 25.Solve: 5p + 24 = 79. What is p?
  26. 26.Arjun is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  27. 27.Pooja thinks of a number, multiplies it by 2 and then adds 13. The result is 43. What is the number?
  28. 28.Solve: n/5 + 11 = 14. What is n?
  29. 29.Solve: 5(x + 3) = 25. What is x?
  30. 30.Solve: 5x − 2 = 48. What is x?
  31. 31.Solve: 7m − 19 = 2. What is m?
  32. 32.Solve: x/4 + 7 = 19. What is x?
  33. 33.Aditya’s mother is three times as old as Aditya. Their ages add up to 32 years. How old is Aditya?
  34. 34.Solve: 2t + 14 = 18. What is t?
  35. 35.Sneha thinks of a number, multiplies it by 6 and then adds 3. The result is 45. What is the number?
  36. 36.Solve: 7(y + 1) = 84. What is y?
  37. 37.Solve: 3(y + 7) = 36. What is y?
  38. 38.Farhan is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  39. 39.Solve: 8n + 4 = 92. What is n?
  40. 40.Solve: 5t − 43 = 22. What is t?

Answer key

  1. 12
  2. 10
  3. 40
  4. 13
  5. 2
  6. 1
  7. 5
  8. 12
  9. 11
  10. 7
  11. 6
  12. 60
  13. 10
  14. 12
  15. 7
  16. 10
  17. 10
  18. 13
  19. 5
  20. 7
  21. 15
  22. 3
  23. 3
  24. 5
  25. 11
  26. 4
  27. 15
  28. 15
  29. 2
  30. 10
  31. 3
  32. 48
  33. 8
  34. 2
  35. 7
  36. 11
  37. 5
  38. 10
  39. 11
  40. 13

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