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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 990 · 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 2 and then adds 30. The result is 42. What is the number?
  2. 2.Solve: n/8 + 8 = 22. What is n?
  3. 3.Solve: n/9 + 2 = 3. What is n?
  4. 4.Solve: 4x + 3 = 59. What is x?
  5. 5.Solve: n/3 + 6 = 8. What is n?
  6. 6.Solve: 2t − 13 = 17. What is t?
  7. 7.Aarav’s mother is four times as old as Aarav. Their ages add up to 35 years. How old is Aarav?
  8. 8.Lakshmi thinks of a number, multiplies it by 3 and then adds 23. The result is 38. What is the number?
  9. 9.Solve: 2t + 20 = 28. What is t?
  10. 10.Solve: n/7 + 12 = 21. What is n?
  11. 11.Farhan is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  12. 12.Solve: 2x − 19 = 5. What is x?
  13. 13.Solve: 7m + 10 = 73. What is m?
  14. 14.Solve: 9(t + 4) = 171. What is t?
  15. 15.Ishaan thinks of a number, multiplies it by 7 and then adds 14. The result is 98. What is the number?
  16. 16.Solve: 7x − 12 = 86. What is x?
  17. 17.Solve: 2(n + 5) = 28. What is n?
  18. 18.Solve: 8y − 13 = 75. What is y?
  19. 19.Priya thinks of a number, multiplies it by 5 and then adds 5. The result is 25. What is the number?
  20. 20.Solve: 9(x + 3) = 45. What is x?
  21. 21.Ishaan thinks of a number, multiplies it by 2 and then adds 29. The result is 37. What is the number?
  22. 22.Solve: 9m + 18 = 72. What is m?
  23. 23.Arjun thinks of a number, multiplies it by 6 and then adds 11. The result is 77. What is the number?
  24. 24.Nisha is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  25. 25.Solve: 6m − 29 = 25. What is m?
  26. 26.Dev’s mother is twice as old as Dev. Their ages add up to 33 years. How old is Dev?
  27. 27.Solve: 3y + 16 = 31. What is y?
  28. 28.Solve: 8x + 27 = 75. What is x?
  29. 29.Priya is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  30. 30.Riya thinks of a number, multiplies it by 7 and then adds 5. The result is 96. What is the number?
  31. 31.Solve: p/4 + 15 = 23. What is p?
  32. 32.Aditya thinks of a number, multiplies it by 2 and then adds 29. The result is 53. What is the number?
  33. 33.Isha thinks of a number, multiplies it by 7 and then adds 9. The result is 100. What is the number?
  34. 34.Solve: n/4 + 10 = 19. What is n?
  35. 35.Solve: 4(m + 2) = 32. What is m?
  36. 36.Solve: n/5 + 5 = 18. What is n?
  37. 37.Solve: 3(t + 1) = 15. What is t?
  38. 38.Solve: 7t + 24 = 59. What is t?
  39. 39.Solve: x/4 + 7 = 18. What is x?
  40. 40.Solve: 9(y + 4) = 117. What is y?

Answer key

  1. 6
  2. 112
  3. 9
  4. 14
  5. 6
  6. 15
  7. 7
  8. 5
  9. 4
  10. 63
  11. 6
  12. 12
  13. 9
  14. 15
  15. 12
  16. 14
  17. 9
  18. 11
  19. 4
  20. 2
  21. 4
  22. 6
  23. 11
  24. 11
  25. 9
  26. 11
  27. 5
  28. 6
  29. 5
  30. 13
  31. 32
  32. 12
  33. 13
  34. 36
  35. 6
  36. 65
  37. 4
  38. 5
  39. 44
  40. 9

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