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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 205 · 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: 4x + 27 = 79. What is x?
  2. 2.Solve: 2t − 23 = 5. What is t?
  3. 3.Solve: 3(m + 7) = 60. What is m?
  4. 4.Solve: 6(p + 5) = 72. What is p?
  5. 5.Solve: p/9 + 13 = 14. What is p?
  6. 6.Solve: 8t − 8 = 64. What is t?
  7. 7.Solve: t/2 + 11 = 24. What is t?
  8. 8.Solve: 4(x + 4) = 48. What is x?
  9. 9.Solve: x/4 + 19 = 33. What is x?
  10. 10.Tara thinks of a number, multiplies it by 6 and then adds 10. The result is 76. What is the number?
  11. 11.Solve: 7x − 13 = 71. What is x?
  12. 12.Solve: 7t + 7 = 49. What is t?
  13. 13.Solve: 9m + 30 = 156. What is m?
  14. 14.Isha thinks of a number, multiplies it by 6 and then adds 2. The result is 8. What is the number?
  15. 15.Solve: 3x − 8 = 4. What is x?
  16. 16.Solve: 5y + 14 = 74. What is y?
  17. 17.Solve: 3m − 11 = 1. What is m?
  18. 18.Dev thinks of a number, multiplies it by 4 and then adds 3. The result is 55. What is the number?
  19. 19.Solve: 4m − 8 = 28. What is m?
  20. 20.Solve: 2x − 1 = 1. What is x?
  21. 21.Solve: 7n + 8 = 113. What is n?
  22. 22.Solve: n/8 + 14 = 28. What is n?
  23. 23.Karan’s mother is three times as old as Karan. Their ages add up to 60 years. How old is Karan?
  24. 24.Solve: n/2 + 3 = 7. What is n?
  25. 25.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 55 years. How old is Saanvi?
  26. 26.Solve: 4p − 49 = 3. What is p?
  27. 27.Solve: 5(y + 7) = 100. What is y?
  28. 28.Solve: 6y + 28 = 58. What is y?
  29. 29.Isha thinks of a number, multiplies it by 6 and then adds 4. The result is 94. What is the number?
  30. 30.Solve: x/3 + 10 = 12. What is x?
  31. 31.Solve: 5p + 23 = 88. What is p?
  32. 32.Lakshmi thinks of a number, multiplies it by 5 and then adds 28. The result is 58. What is the number?
  33. 33.Solve: 3m + 5 = 17. What is m?
  34. 34.Solve: y/2 + 6 = 21. What is y?
  35. 35.Solve: 6p − 14 = 4. What is p?
  36. 36.Solve: 5n + 14 = 79. What is n?
  37. 37.Arjun is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  38. 38.Solve: 9y + 6 = 60. What is y?
  39. 39.Solve: n/2 + 17 = 28. What is n?
  40. 40.Solve: x/6 + 12 = 15. What is x?

Answer key

  1. 13
  2. 14
  3. 13
  4. 7
  5. 9
  6. 9
  7. 26
  8. 8
  9. 56
  10. 11
  11. 12
  12. 6
  13. 14
  14. 1
  15. 4
  16. 12
  17. 4
  18. 13
  19. 9
  20. 1
  21. 15
  22. 112
  23. 15
  24. 8
  25. 11
  26. 13
  27. 13
  28. 5
  29. 15
  30. 6
  31. 13
  32. 6
  33. 4
  34. 30
  35. 3
  36. 13
  37. 6
  38. 6
  39. 22
  40. 18

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