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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 579 · 40 sums
TalentJR

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: 8p + 2 = 82. What is p?
  2. 2.Solve: p/6 + 4 = 17. What is p?
  3. 3.Solve: 5y + 30 = 75. What is y?
  4. 4.Aarav thinks of a number, multiplies it by 6 and then adds 3. The result is 39. What is the number?
  5. 5.Solve: 8n + 27 = 35. What is n?
  6. 6.Meera is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  7. 7.Solve: 6y − 28 = 50. What is y?
  8. 8.Solve: 5x − 5 = 40. What is x?
  9. 9.Solve: 9x + 7 = 142. What is x?
  10. 10.Solve: p/3 + 3 = 7. What is p?
  11. 11.Solve: p/4 + 11 = 17. What is p?
  12. 12.Dev’s mother is twice as old as Dev. Their ages add up to 33 years. How old is Dev?
  13. 13.Solve: 5p − 2 = 53. What is p?
  14. 14.Rohan is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  15. 15.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 18 years. How old is Saanvi?
  16. 16.Solve: t/3 + 17 = 26. What is t?
  17. 17.Solve: 3y + 4 = 37. What is y?
  18. 18.Solve: 4p + 3 = 47. What is p?
  19. 19.Solve: 9(t + 4) = 45. What is t?
  20. 20.Solve: 3y − 8 = 7. What is y?
  21. 21.Solve: 9(x + 2) = 45. What is x?
  22. 22.Solve: 9(p + 8) = 198. What is p?
  23. 23.Saanvi thinks of a number, multiplies it by 2 and then adds 24. The result is 50. What is the number?
  24. 24.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 50 years. How old is Lakshmi?
  25. 25.Solve: n/8 + 6 = 16. What is n?
  26. 26.Kavya thinks of a number, multiplies it by 8 and then adds 8. The result is 72. What is the number?
  27. 27.Solve: 6(t + 3) = 54. What is t?
  28. 28.Meera thinks of a number, multiplies it by 2 and then adds 25. The result is 33. What is the number?
  29. 29.Solve: 8x − 17 = 23. What is x?
  30. 30.Solve: y/4 + 17 = 24. What is y?
  31. 31.Kabir is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  32. 32.Solve: t/7 + 6 = 9. What is t?
  33. 33.Solve: 9y − 93 = 24. What is y?
  34. 34.Aarav thinks of a number, multiplies it by 7 and then adds 18. The result is 116. What is the number?
  35. 35.Diya thinks of a number, multiplies it by 8 and then adds 25. The result is 97. What is the number?
  36. 36.Farhan is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  37. 37.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 42 years. How old is Saanvi?
  38. 38.Solve: y/3 + 7 = 20. What is y?
  39. 39.Solve: 4(x + 6) = 52. What is x?
  40. 40.Solve: 2x + 7 = 15. What is x?

Answer key

  1. 10
  2. 78
  3. 9
  4. 6
  5. 1
  6. 7
  7. 13
  8. 9
  9. 15
  10. 12
  11. 24
  12. 11
  13. 11
  14. 8
  15. 6
  16. 27
  17. 11
  18. 11
  19. 1
  20. 5
  21. 3
  22. 14
  23. 13
  24. 10
  25. 80
  26. 8
  27. 6
  28. 4
  29. 5
  30. 28
  31. 10
  32. 21
  33. 13
  34. 14
  35. 9
  36. 10
  37. 14
  38. 39
  39. 7
  40. 4

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