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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 412 · 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: 3t + 27 = 72. What is t?
  2. 2.Gurpreet thinks of a number, multiplies it by 9 and then adds 1. The result is 28. What is the number?
  3. 3.Gurpreet’s mother is four times as old as Gurpreet. Their ages add up to 30 years. How old is Gurpreet?
  4. 4.Solve: 7m + 6 = 90. What is m?
  5. 5.Solve: m/2 + 1 = 14. What is m?
  6. 6.Solve: 2x − 1 = 1. What is x?
  7. 7.Solve: 3(y + 1) = 24. What is y?
  8. 8.Solve: 3x + 18 = 45. What is x?
  9. 9.Lakshmi thinks of a number, multiplies it by 7 and then adds 13. The result is 111. What is the number?
  10. 10.Aarav thinks of a number, multiplies it by 2 and then adds 24. The result is 48. What is the number?
  11. 11.Solve: 4m + 21 = 25. What is m?
  12. 12.Solve: 2m − 11 = 13. What is m?
  13. 13.Solve: 6x − 5 = 1. What is x?
  14. 14.Solve: n/3 + 6 = 9. What is n?
  15. 15.Nisha’s mother is four times as old as Nisha. Their ages add up to 75 years. How old is Nisha?
  16. 16.Solve: 8n + 26 = 82. What is n?
  17. 17.Solve: 6x + 26 = 86. What is x?
  18. 18.Solve: 2m − 3 = 5. What is m?
  19. 19.Dev is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  20. 20.Solve: 5y + 25 = 45. What is y?
  21. 21.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 36 years. How old is Vivaan?
  22. 22.Gurpreet is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  23. 23.Ishaan thinks of a number, multiplies it by 4 and then adds 5. The result is 17. What is the number?
  24. 24.Solve: 3x + 1 = 25. What is x?
  25. 25.Solve: 9t − 13 = 41. What is t?
  26. 26.Sneha thinks of a number, multiplies it by 7 and then adds 1. The result is 57. What is the number?
  27. 27.Solve: 6n + 17 = 65. What is n?
  28. 28.Solve: 4p − 9 = 19. What is p?
  29. 29.Solve: 7m + 8 = 78. What is m?
  30. 30.Solve: 3(m + 3) = 15. What is m?
  31. 31.Kabir is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  32. 32.Tara’s mother is four times as old as Tara. Their ages add up to 65 years. How old is Tara?
  33. 33.Solve: 3(n + 5) = 30. What is n?
  34. 34.Solve: 3y + 28 = 61. What is y?
  35. 35.Joseph thinks of a number, multiplies it by 4 and then adds 2. The result is 62. What is the number?
  36. 36.Solve: 2y + 9 = 15. What is y?
  37. 37.Lakshmi thinks of a number, multiplies it by 5 and then adds 29. The result is 49. What is the number?
  38. 38.Solve: 6y − 17 = 13. What is y?
  39. 39.Solve: 8y − 12 = 12. What is y?
  40. 40.Solve: 6(t + 8) = 90. What is t?

Answer key

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

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