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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 24 · 40 sums
TalentJR

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: 3(n + 5) = 21. What is n?
  2. 2.Solve: 4x − 23 = 33. What is x?
  3. 3.Solve: t/2 + 3 = 14. What is t?
  4. 4.Solve: 4m + 7 = 67. What is m?
  5. 5.Solve: 2y + 7 = 27. What is y?
  6. 6.Solve: 9(t + 7) = 144. What is t?
  7. 7.Solve: t/5 + 13 = 25. What is t?
  8. 8.Solve: 8t − 75 = 29. What is t?
  9. 9.Solve: 6n − 41 = 25. What is n?
  10. 10.Solve: 6p + 5 = 83. What is p?
  11. 11.Solve: n/6 + 9 = 12. What is n?
  12. 12.Solve: 6x + 6 = 60. What is x?
  13. 13.Solve: 3x + 17 = 59. What is x?
  14. 14.Solve: 9n + 16 = 25. What is n?
  15. 15.Solve: 9t − 1 = 8. What is t?
  16. 16.Solve: 9(y + 8) = 135. What is y?
  17. 17.Priya’s mother is four times as old as Priya. Their ages add up to 65 years. How old is Priya?
  18. 18.Solve: 8n − 19 = 69. What is n?
  19. 19.Solve: 9m + 12 = 111. What is m?
  20. 20.Solve: 4(n + 9) = 60. What is n?
  21. 21.Solve: y/7 + 5 = 9. What is y?
  22. 22.Solve: m/6 + 9 = 20. What is m?
  23. 23.Solve: 8(x + 2) = 136. What is x?
  24. 24.Solve: 9(p + 7) = 198. What is p?
  25. 25.Solve: 3(y + 1) = 30. What is y?
  26. 26.Solve: 6n − 24 = 6. What is n?
  27. 27.Riya’s mother is twice as old as Riya. Their ages add up to 33 years. How old is Riya?
  28. 28.Solve: x/5 + 7 = 14. What is x?
  29. 29.Solve: n/7 + 2 = 13. What is n?
  30. 30.Sneha thinks of a number, multiplies it by 4 and then adds 21. The result is 81. What is the number?
  31. 31.Solve: 7p + 9 = 37. What is p?
  32. 32.Solve: 4(m + 8) = 92. What is m?
  33. 33.Vivaan thinks of a number, multiplies it by 6 and then adds 24. The result is 84. What is the number?
  34. 34.Solve: 4(t + 7) = 56. What is t?
  35. 35.Zoya thinks of a number, multiplies it by 2 and then adds 12. The result is 32. What is the number?
  36. 36.Farhan thinks of a number, multiplies it by 4 and then adds 14. The result is 66. What is the number?
  37. 37.Solve: 8(t + 4) = 96. What is t?
  38. 38.Arjun’s mother is three times as old as Arjun. Their ages add up to 60 years. How old is Arjun?
  39. 39.Solve: x/6 + 13 = 27. What is x?
  40. 40.Solve: t/7 + 12 = 19. What is t?

Answer key

  1. 2
  2. 14
  3. 22
  4. 15
  5. 10
  6. 9
  7. 60
  8. 13
  9. 11
  10. 13
  11. 18
  12. 9
  13. 14
  14. 1
  15. 1
  16. 7
  17. 13
  18. 11
  19. 11
  20. 6
  21. 28
  22. 66
  23. 15
  24. 15
  25. 9
  26. 5
  27. 11
  28. 35
  29. 77
  30. 15
  31. 4
  32. 15
  33. 10
  34. 7
  35. 10
  36. 13
  37. 8
  38. 15
  39. 84
  40. 49

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