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Simplifying Rational Expressions and Stating Restrictions

Simplifying Rational Expressions and Stating Restrictions
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2020-04-18 02:17
FunctionComplex Number
This example demonstrates the simplification of rational expressions and stating their restrictions. Key mathematical concepts include rational expressions, rational numbers, and logic. Using GeoGebra commands such as Element, UnicodeToLetter, LaTeX, and Text, users can dynamically explore the process of simplifying rational expressions. Suitable for middle school and above students to learn the simplification of rational expressions and the determination of their restrictions.

GeoGebra Commands & Parameters

  1. Element(questionList, questionListIndex) → questionNum
  2. UnicodeToLetter(10003) → cmark
  3. UnicodeToLetter(10007) → xmark
  4. Element(B2:B7, questionNum) → correctRightText
  5. Element(C2:C7, questionNum) → correctLeftText
  6. Element(D2:D7, questionNum) → incorrectRightText
  7. Element(E2:E7, questionNum) → incorrectLeftText
  8. Element(F2:F7, questionNum) → feedback
  9. Element(A2:A7, questionNum) → questionText
  10. LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
  11. LaTeX("t \ne 0, 2") → B2
  12. LaTeX("\dfrac{3}{4t^2}") → C2
  13. LaTeX("\dfrac{3(t-2)}{2t(2t^2-4t)}") → E2
  14. LaTeX("x \ne -3") → B4
  15. LaTeX("x \ne 3") → D4
  16. LaTeX("x-3") → C4
  17. LaTeX("\dfrac{x^2-9}{x+3}") → E4
  18. LaTeX("x \ne -1, -3") → B5
  19. LaTeX("\dfrac{x+1}{x+3}") → C5
  20. LaTeX("\dfrac{2x+1}{4x+3}") → E5
  21. LaTeX("t \ne 1, -\tfrac{1}{2}") → B6
  22. LaTeX("\dfrac{t^2}{t-1}") → C6
  23. LaTeX("\dfrac{t^2}{t+1}") → E6
  24. LaTeX("\dfrac{(t\hspace{-4}-\hspace{-4}1)(t\hspace{-4}+\hspace{-4}5)}{(t\hspace{-4}-\hspace{-4}5)(1\hspace{-4}-\hspace{-4}t)}") → A3
  25. LaTeX("t \ne 1, 5") → B3
  26. LaTeX("-\dfrac{t+5}{t-5}") → C3
  27. LaTeX("\dfrac{t+5}{t-5}") → E3
  28. LaTeX("\dfrac{3t-6}{4t^3-8t^2}") → A2
  29. LaTeX("\dfrac{2x^2-18}{2x+6}") → A4
  30. LaTeX("\dfrac{x^2+2x+1}{x^2+4x+3}") → A5
  31. LaTeX("\dfrac{6t^3+3t^2}{6t^2-3t-3}") → A6
  32. Text(If[isRightCorrect, correctRightText, incorrectRightText], puzzleAnchor + (9.5, 7.5), true, true) → matchedRightText
  33. Text(If[isLeftCorrect, correctLeftText, incorrectLeftText], puzzleAnchor + (2.75, 5.25), true, true) → matchedLeftText
  34. LaTeX("t \ne 0") → D2
  35. LaTeX("t \ne 5") → D3
  36. LaTeX("x \ne -3") → D5
  37. LaTeX("t \ne 1") → D6