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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 114 · 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: n/6 + 6 = 13. What is n?
  2. 2.Solve: y/3 + 4 = 18. What is y?
  3. 3.Solve: 4p + 19 = 59. What is p?
  4. 4.Solve: t/8 + 15 = 23. What is t?
  5. 5.Vivaan thinks of a number, multiplies it by 6 and then adds 11. The result is 17. What is the number?
  6. 6.Zoya’s mother is three times as old as Zoya. Their ages add up to 28 years. How old is Zoya?
  7. 7.Isha is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  8. 8.Zoya thinks of a number, multiplies it by 5 and then adds 23. The result is 83. What is the number?
  9. 9.Joseph thinks of a number, multiplies it by 7 and then adds 23. The result is 114. What is the number?
  10. 10.Ananya thinks of a number, multiplies it by 7 and then adds 5. The result is 26. What is the number?
  11. 11.Solve: y/8 + 13 = 20. What is y?
  12. 12.Dev’s mother is four times as old as Dev. Their ages add up to 40 years. How old is Dev?
  13. 13.Solve: 3x − 1 = 2. What is x?
  14. 14.Joseph thinks of a number, multiplies it by 8 and then adds 22. The result is 86. What is the number?
  15. 15.Farhan thinks of a number, multiplies it by 6 and then adds 2. The result is 80. What is the number?
  16. 16.Solve: 6y − 40 = 32. What is y?
  17. 17.Rohan thinks of a number, multiplies it by 3 and then adds 8. The result is 47. What is the number?
  18. 18.Solve: 8p + 29 = 37. What is p?
  19. 19.Solve: m/4 + 5 = 12. What is m?
  20. 20.Solve: y/2 + 20 = 27. What is y?
  21. 21.Solve: 7(t + 2) = 119. What is t?
  22. 22.Solve: 6(y + 5) = 48. What is y?
  23. 23.Solve: 5(m + 3) = 75. What is m?
  24. 24.Solve: 3m + 11 = 56. What is m?
  25. 25.Solve: 2y + 16 = 30. What is y?
  26. 26.Solve: 3(p + 3) = 30. What is p?
  27. 27.Solve: 7(x + 1) = 84. What is x?
  28. 28.Solve: 3(y + 2) = 27. What is y?
  29. 29.Rohan thinks of a number, multiplies it by 6 and then adds 6. The result is 48. What is the number?
  30. 30.Solve: 6m + 11 = 59. What is m?
  31. 31.Solve: 8y + 2 = 42. What is y?
  32. 32.Solve: n/9 + 16 = 18. What is n?
  33. 33.Solve: 5y + 9 = 59. What is y?
  34. 34.Solve: 9t + 24 = 69. What is t?
  35. 35.Nisha’s mother is three times as old as Nisha. Their ages add up to 20 years. How old is Nisha?
  36. 36.Solve: 8x − 43 = 45. What is x?
  37. 37.Solve: 7(y + 8) = 98. What is y?
  38. 38.Solve: 5x − 6 = 19. What is x?
  39. 39.Riya thinks of a number, multiplies it by 8 and then adds 18. The result is 114. What is the number?
  40. 40.Solve: 2y − 3 = 5. What is y?

Answer key

  1. 42
  2. 42
  3. 10
  4. 64
  5. 1
  6. 7
  7. 13
  8. 12
  9. 13
  10. 3
  11. 56
  12. 8
  13. 1
  14. 8
  15. 13
  16. 12
  17. 13
  18. 1
  19. 28
  20. 14
  21. 15
  22. 3
  23. 12
  24. 15
  25. 7
  26. 7
  27. 11
  28. 7
  29. 7
  30. 8
  31. 5
  32. 18
  33. 10
  34. 5
  35. 5
  36. 11
  37. 6
  38. 5
  39. 12
  40. 4

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