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Collecting Like Terms Practice

Collecting Like Terms Practice
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2019-11-28 21:38
CalculusGeometric Construction
This example provides an interactive practice to help students master the concept of collecting like terms. It demonstrates how to simplify algebraic expressions by combining like terms. Various GeoGebra commands such as RandomElement, Shuffle, and Append are used to dynamically generate questions. Suitable for middle school and above students for basic algebra practice.

GeoGebra Commands & Parameters

  1. RandomElement({-6, -5, -4, -3, 3, 4, 5, 6}) → constant2
  2. Text(If[constant2 < 0, "-", "+"]) → constant2sign
  3. RandomElement({-6, -5, -3, -1, 1, 3, 5, 6}) → variable1
  4. Text(If[abs(variable1) ≠ 1, abs(variable1), ""]) → variable1value
  5. Text(If[variable1 < 0, "-", ""]) → variable1neg
  6. RandomElement({-7, -2, -1, 1, 2, 7}) → constant1
  7. Text(If[constant1 < 0, "-", "+"]) → constant1sign
  8. RandomElement({-7, -4, -2, 2, 4, 7}) → variable2
  9. Text(If[variable2 < 0, "-", "+"]) → variable2sign
  10. Text(If[abs(variable2) ≠ 1, abs(variable2), ""]) → variable2value
  11. Shuffle(xtermfirst) → shufflextermfirst, {"+4x", "+4", "+7"}
  12. Remove(shufflextermfirst, {otherconstant1, otherconstant2}) → onevariable
  13. Remove(shufflextermfirst, {otherxterm1}) → twoconstants
  14. Text(If[constantdifference > 0, "-", "+"]) → constantdifferencesignwrong
  15. Text(If[constantdifference < 0, "-", "+"]) → constantdifferencesign
  16. Text(If[constantsum < 0, "+", "-"]) → constantsumsignwrong
  17. Text(If[constantsum < 0, "-", "+"]) → constantsumsign
  18. Text(If[xdifference > 0, "-", ""]) → xdifferencesignwrong
  19. Text(If[abs(xdifference) ≠ 1, abs(xdifference), ""]) → xdifferencevalue
  20. Text(If[xdifference < 0, "-", ""]) → xdifferencesign
  21. Text(If[xsum > 0, "-", ""]) → xsumsignwrong
  22. Text(If[abs(xsum) ≠ 1, abs(xsum), ""]) → xsumvalue
  23. Text(If[xsum < 0, "-", ""]) → xsumsign
  24. Shuffle(wrongs) → shufflewrongs, {"x-11", "-9x+11", "9x-3", "9x+11", "x-3", "-9x+3", "9x+3", "x+11", "-x+3", "-x-11", "-9x-3", "9x-11", "x+3", "-9x-11", "-x-3"}
  25. Shuffle(choices) → shuffledchoices, {"-9x+11", "x-11", "-x+11", "9x-3"}
  26. Append("$\textsf{Choose one}$", shuffledchoices) → userinput
  27. Corner(5) → dims
  28. Text(If[constant1 < 0, "-", ""]) → constant1neg
  29. Text(If[variable1 < 0, "-", "+"]) → variable1sign
  30. RandomElement({firsttermx, firsttermconstant}) → firstterm, "-5x"
  31. Shuffle(constantfirst) → shuffleconstantfirst, {"+4x", "+4", "-5x"}
  32. RandomElement({VARIABLEFIRST, CONSTANTFIRST}) → question, "-5x+4x+4+7"
  33. Remove(shuffleconstantfirst, {otherxterm1, otherxterm2}) → oneconstant
  34. Remove(shuffleconstantfirst, {otherconstant1}) → twovariables
  35. If(IndexOf["+", twovariables1] ≠ 1, twovariables1, Take[twovariables1, 2]) → twovariablesnoneg
  36. IndexOf(twovariables1, "+") → test
  37. If(question ≟ VARIABLEFIRST, Solx, SolConst) → reordered

AI Drawing Prompt Reference

Create an algebra practice interface with a randomly generated polynomial expression in the center, such as "-5x+4x+4+7". Below it, display four clickable option buttons, each showing a simplified expression, including one correct answer and three distractors. At the top, include the title "Collecting Like Terms Practice" and a prompt "Choose one". Use clear sans-serif fonts, a light background, and rounded rectangular buttons for a clean, student-friendly layout.
The prompt above was compiled from the original drawing commands and is for reference only.