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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 127 · 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: 7(y + 3) = 28. What is y?
  2. 2.Aditya thinks of a number, multiplies it by 4 and then adds 20. The result is 64. What is the number?
  3. 3.Solve: 6y − 71 = 13. What is y?
  4. 4.Solve: y/7 + 9 = 10. What is y?
  5. 5.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 18 years. How old is Saanvi?
  6. 6.Saanvi thinks of a number, multiplies it by 7 and then adds 23. The result is 37. What is the number?
  7. 7.Solve: 7(t + 6) = 140. What is t?
  8. 8.Aditya is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  9. 9.Solve: 8n − 24 = 32. What is n?
  10. 10.Solve: 9x + 16 = 52. What is x?
  11. 11.Solve: 7n − 42 = 7. What is n?
  12. 12.Vivaan is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  13. 13.Priya thinks of a number, multiplies it by 9 and then adds 29. The result is 38. What is the number?
  14. 14.Solve: 5(y + 1) = 25. What is y?
  15. 15.Solve: m/8 + 12 = 26. What is m?
  16. 16.Arjun thinks of a number, multiplies it by 2 and then adds 30. The result is 44. What is the number?
  17. 17.Solve: 5y − 15 = 55. What is y?
  18. 18.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 39 years. How old is Gurpreet?
  19. 19.Ishaan thinks of a number, multiplies it by 7 and then adds 21. The result is 49. What is the number?
  20. 20.Aditya’s mother is three times as old as Aditya. Their ages add up to 16 years. How old is Aditya?
  21. 21.Farhan thinks of a number, multiplies it by 2 and then adds 30. The result is 56. What is the number?
  22. 22.Manav’s mother is three times as old as Manav. Their ages add up to 20 years. How old is Manav?
  23. 23.Solve: 8m + 6 = 110. What is m?
  24. 24.Solve: 9(p + 6) = 72. What is p?
  25. 25.Lakshmi thinks of a number, multiplies it by 4 and then adds 26. The result is 54. What is the number?
  26. 26.Solve: 2y + 4 = 14. What is y?
  27. 27.Solve: 5x − 8 = 32. What is x?
  28. 28.Farhan thinks of a number, multiplies it by 4 and then adds 2. The result is 38. What is the number?
  29. 29.Solve: m/6 + 7 = 19. What is m?
  30. 30.Dev thinks of a number, multiplies it by 4 and then adds 6. The result is 62. What is the number?
  31. 31.Solve: 6p + 6 = 60. What is p?
  32. 32.Solve: m/5 + 14 = 23. What is m?
  33. 33.Solve: 2(n + 9) = 20. What is n?
  34. 34.Solve: 6n + 21 = 81. What is n?
  35. 35.Solve: y/6 + 6 = 7. What is y?
  36. 36.Solve: m/4 + 11 = 16. What is m?
  37. 37.Solve: 8(y + 9) = 120. What is y?
  38. 38.Solve: 8m − 4 = 12. What is m?
  39. 39.Arjun thinks of a number, multiplies it by 8 and then adds 19. The result is 115. What is the number?
  40. 40.Solve: 8y + 13 = 125. What is y?

Answer key

  1. 1
  2. 11
  3. 14
  4. 7
  5. 6
  6. 2
  7. 14
  8. 8
  9. 7
  10. 4
  11. 7
  12. 12
  13. 1
  14. 4
  15. 112
  16. 7
  17. 14
  18. 13
  19. 4
  20. 4
  21. 13
  22. 5
  23. 13
  24. 2
  25. 7
  26. 5
  27. 8
  28. 9
  29. 72
  30. 14
  31. 9
  32. 45
  33. 1
  34. 10
  35. 6
  36. 20
  37. 6
  38. 2
  39. 12
  40. 14

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