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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 546 · 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: 3x + 5 = 23. What is x?
  2. 2.Solve: 4t − 20 = 8. What is t?
  3. 3.Solve: p/2 + 18 = 31. What is p?
  4. 4.Pooja thinks of a number, multiplies it by 4 and then adds 30. The result is 50. What is the number?
  5. 5.Arjun’s mother is four times as old as Arjun. Their ages add up to 25 years. How old is Arjun?
  6. 6.Kabir’s mother is three times as old as Kabir. Their ages add up to 24 years. How old is Kabir?
  7. 7.Solve: 7(x + 6) = 84. What is x?
  8. 8.Priya is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  9. 9.Gurpreet thinks of a number, multiplies it by 4 and then adds 27. The result is 87. What is the number?
  10. 10.Aarav thinks of a number, multiplies it by 7 and then adds 9. The result is 107. What is the number?
  11. 11.Meera is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  12. 12.Solve: 9(m + 9) = 216. What is m?
  13. 13.Solve: 8(y + 1) = 72. What is y?
  14. 14.Solve: 5p − 2 = 8. What is p?
  15. 15.Aarav thinks of a number, multiplies it by 2 and then adds 5. The result is 7. What is the number?
  16. 16.Solve: y/9 + 10 = 21. What is y?
  17. 17.Solve: 2(m + 2) = 6. What is m?
  18. 18.Solve: 7x + 20 = 97. What is x?
  19. 19.Solve: 2(y + 3) = 34. What is y?
  20. 20.Aditya thinks of a number, multiplies it by 7 and then adds 2. The result is 58. What is the number?
  21. 21.Solve: x/4 + 12 = 24. What is x?
  22. 22.Gurpreet thinks of a number, multiplies it by 6 and then adds 25. The result is 49. What is the number?
  23. 23.Ananya thinks of a number, multiplies it by 6 and then adds 8. The result is 80. What is the number?
  24. 24.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 75 years. How old is Vivaan?
  25. 25.Solve: 8p − 2 = 30. What is p?
  26. 26.Solve: 4(p + 7) = 84. What is p?
  27. 27.Solve: 6x + 30 = 42. What is x?
  28. 28.Solve: 3(m + 7) = 54. What is m?
  29. 29.Solve: 7(n + 6) = 133. What is n?
  30. 30.Meera’s mother is four times as old as Meera. Their ages add up to 70 years. How old is Meera?
  31. 31.Solve: n/4 + 17 = 30. What is n?
  32. 32.Kabir is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  33. 33.Aditya is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  34. 34.Solve: 9n + 24 = 51. What is n?
  35. 35.Solve: 4(y + 1) = 40. What is y?
  36. 36.Solve: 2x − 10 = 4. What is x?
  37. 37.Solve: 9n − 49 = 5. What is n?
  38. 38.Solve: 2(m + 3) = 14. What is m?
  39. 39.Solve: 5(p + 7) = 50. What is p?
  40. 40.Solve: 3(t + 6) = 45. What is t?

Answer key

  1. 6
  2. 7
  3. 26
  4. 5
  5. 5
  6. 6
  7. 6
  8. 4
  9. 15
  10. 14
  11. 4
  12. 15
  13. 8
  14. 2
  15. 1
  16. 99
  17. 1
  18. 11
  19. 14
  20. 8
  21. 48
  22. 4
  23. 12
  24. 15
  25. 4
  26. 14
  27. 2
  28. 11
  29. 13
  30. 14
  31. 52
  32. 5
  33. 9
  34. 3
  35. 9
  36. 7
  37. 6
  38. 4
  39. 3
  40. 9

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