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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 57 · 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: 7x + 3 = 52. What is x?
  2. 2.Solve: 8(p + 5) = 128. What is p?
  3. 3.Solve: 3y + 7 = 22. What is y?
  4. 4.Solve: 2n + 18 = 28. What is n?
  5. 5.Solve: t/4 + 15 = 16. What is t?
  6. 6.Solve: 8p − 41 = 39. What is p?
  7. 7.Solve: x/6 + 13 = 22. What is x?
  8. 8.Solve: m/9 + 14 = 19. What is m?
  9. 9.Solve: 5(p + 5) = 30. What is p?
  10. 10.Solve: 6(n + 1) = 18. What is n?
  11. 11.Solve: 5y + 1 = 76. What is y?
  12. 12.Solve: 3m − 4 = 32. What is m?
  13. 13.Solve: m/9 + 9 = 19. What is m?
  14. 14.Solve: p/9 + 17 = 29. What is p?
  15. 15.Dev thinks of a number, multiplies it by 4 and then adds 22. The result is 26. What is the number?
  16. 16.Solve: 8(y + 5) = 104. What is y?
  17. 17.Solve: 3y + 19 = 31. What is y?
  18. 18.Solve: 3y − 2 = 4. What is y?
  19. 19.Solve: 2(n + 8) = 28. What is n?
  20. 20.Solve: t/3 + 12 = 14. What is t?
  21. 21.Solve: m/3 + 1 = 14. What is m?
  22. 22.Solve: 9y − 55 = 8. What is y?
  23. 23.Tara’s mother is three times as old as Tara. Their ages add up to 44 years. How old is Tara?
  24. 24.Solve: 3y + 12 = 45. What is y?
  25. 25.Aarav’s mother is twice as old as Aarav. Their ages add up to 21 years. How old is Aarav?
  26. 26.Vivaan thinks of a number, multiplies it by 4 and then adds 9. The result is 61. What is the number?
  27. 27.Solve: 2(m + 2) = 10. What is m?
  28. 28.Solve: 5(t + 9) = 100. What is t?
  29. 29.Kavya’s mother is four times as old as Kavya. Their ages add up to 40 years. How old is Kavya?
  30. 30.Priya thinks of a number, multiplies it by 8 and then adds 18. The result is 42. What is the number?
  31. 31.Solve: 2x + 30 = 54. What is x?
  32. 32.Solve: 8y + 12 = 52. What is y?
  33. 33.Aditya’s mother is twice as old as Aditya. Their ages add up to 27 years. How old is Aditya?
  34. 34.Joseph’s mother is four times as old as Joseph. Their ages add up to 40 years. How old is Joseph?
  35. 35.Saanvi thinks of a number, multiplies it by 9 and then adds 5. The result is 77. What is the number?
  36. 36.Solve: p/5 + 14 = 29. What is p?
  37. 37.Solve: 3y − 11 = 1. What is y?
  38. 38.Solve: 5(x + 5) = 35. What is x?
  39. 39.Joseph’s mother is four times as old as Joseph. Their ages add up to 55 years. How old is Joseph?
  40. 40.Solve: t/7 + 16 = 30. What is t?

Answer key

  1. 7
  2. 11
  3. 5
  4. 5
  5. 4
  6. 10
  7. 54
  8. 45
  9. 1
  10. 2
  11. 15
  12. 12
  13. 90
  14. 108
  15. 1
  16. 8
  17. 4
  18. 2
  19. 6
  20. 6
  21. 39
  22. 7
  23. 11
  24. 11
  25. 7
  26. 13
  27. 3
  28. 11
  29. 8
  30. 3
  31. 12
  32. 5
  33. 9
  34. 8
  35. 8
  36. 75
  37. 4
  38. 2
  39. 11
  40. 98

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