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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 368 · 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.Nisha thinks of a number, multiplies it by 6 and then adds 12. The result is 96. What is the number?
  2. 2.Solve: 7y − 19 = 16. What is y?
  3. 3.Solve: 9m + 10 = 82. What is m?
  4. 4.Aarav is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  5. 5.Gurpreet thinks of a number, multiplies it by 6 and then adds 26. The result is 32. What is the number?
  6. 6.Solve: 5m − 24 = 6. What is m?
  7. 7.Solve: 2m − 1 = 1. What is m?
  8. 8.Solve: 8p − 77 = 11. What is p?
  9. 9.Solve: m/8 + 2 = 10. What is m?
  10. 10.Solve: 2(y + 2) = 20. What is y?
  11. 11.Solve: 7(y + 3) = 35. What is y?
  12. 12.Solve: 5(y + 2) = 45. What is y?
  13. 13.Arjun is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  14. 14.Solve: 5(p + 1) = 70. What is p?
  15. 15.Solve: 4m + 19 = 67. What is m?
  16. 16.Solve: 2(x + 6) = 14. What is x?
  17. 17.Solve: 4(m + 8) = 48. What is m?
  18. 18.Vivaan thinks of a number, multiplies it by 2 and then adds 24. The result is 32. What is the number?
  19. 19.Solve: 7x − 43 = 20. What is x?
  20. 20.Joseph is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  21. 21.Solve: x/5 + 10 = 17. What is x?
  22. 22.Kavya thinks of a number, multiplies it by 8 and then adds 20. The result is 44. What is the number?
  23. 23.Solve: 6n − 20 = 16. What is n?
  24. 24.Lakshmi thinks of a number, multiplies it by 8 and then adds 20. The result is 52. What is the number?
  25. 25.Solve: y/9 + 15 = 28. What is y?
  26. 26.Solve: 6m − 16 = 14. What is m?
  27. 27.Solve: 7m − 20 = 1. What is m?
  28. 28.Solve: 5n + 16 = 61. What is n?
  29. 29.Solve: x/3 + 4 = 10. What is x?
  30. 30.Solve: 3y + 16 = 31. What is y?
  31. 31.Solve: 7y − 8 = 20. What is y?
  32. 32.Solve: 8m + 27 = 83. What is m?
  33. 33.Solve: x/2 + 7 = 19. What is x?
  34. 34.Solve: 3m + 5 = 26. What is m?
  35. 35.Solve: 4p + 1 = 37. What is p?
  36. 36.Solve: 6(m + 3) = 78. What is m?
  37. 37.Solve: y/7 + 10 = 15. What is y?
  38. 38.Rohan thinks of a number, multiplies it by 5 and then adds 5. The result is 75. What is the number?
  39. 39.Solve: 7m − 13 = 29. What is m?
  40. 40.Solve: 7y + 21 = 49. What is y?

Answer key

  1. 14
  2. 5
  3. 8
  4. 9
  5. 1
  6. 6
  7. 1
  8. 11
  9. 64
  10. 8
  11. 2
  12. 7
  13. 14
  14. 13
  15. 12
  16. 1
  17. 4
  18. 4
  19. 9
  20. 15
  21. 35
  22. 3
  23. 6
  24. 4
  25. 117
  26. 5
  27. 3
  28. 9
  29. 18
  30. 5
  31. 4
  32. 7
  33. 24
  34. 7
  35. 9
  36. 10
  37. 35
  38. 14
  39. 6
  40. 4

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