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Solving Equations and Inequalities Using Substitution by GeoGebra Content Team

Solving Equations and Inequalities Using Substitution by GeoGebra Content Team
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2023-03-27 21:07
InequalityGeometric Construction
This example demonstrates how to identify values that satisfy equations or inequalities using substitution. Key math concepts include substitution method, equation solving, and inequality analysis. Construction involves GeoGebra commands like Shuffle, Element, SelectedIndex, etc. Suitable for grades 6-8 for algebraic practice and classroom activities.

GeoGebra Commands & Parameters

  1. Shuffle(Sequence[15]) → problType, {2, 14, 7, 9, 1, 10, 13, 11, 12, 8, 6, 3, 5, 15, 4}
  2. Element(problType, Mod[count, Length[problType]] + 1) → valType
  3. Shuffle(Sequence[t, t, 2, 5, 1]) → allA, {3, 5, 2, 4}
  4. Element(allA, Mod[count, Length[allA]] + 1) → valA
  5. Shuffle(Sequence[t, t, 2, 5, 1]) → allB, {2, 3, 4, 5}
  6. Element(allB, Mod[count, Length[allB]] + 1) → valB
  7. Shuffle(Sequence[t, t, 6, 9, 1]) → allC, {6, 7, 8, 9}
  8. Element(allC, Mod[count, Length[allC]] + 1) → valC
  9. SelectedIndex(dd7) → is7
  10. SelectedIndex(dd15) → is15
  11. SelectedIndex(dd14) → is14
  12. SelectedIndex(dd13) → is13
  13. SelectedIndex(dd12) → is12
  14. SelectedIndex(dd11) → is11
  15. SelectedIndex(dd10) → is10
  16. SelectedIndex(dd9) → is9
  17. SelectedIndex(dd8) → is8
  18. SelectedIndex(dd6) → is6
  19. SelectedIndex(dd5) → is5
  20. SelectedIndex(dd4) → is4
  21. SelectedIndex(dd3) → is3
  22. SelectedIndex(dd1) → is1
  23. SelectedIndex(dd2) → is2
  24. Element(allA, Mod[countQuestion, 15] + 1) → randomNum2
  25. Element(problType, Mod[countQuestion, 20] + 1) → randomNum1
  26. Textfield(input1) → InputBox1
  27. Textfield(input2) → InputBox2
  28. Polygon(Zip[PixelsToPoint[Corner[1], Corner[3], Corner[5], A], A, {(pixelsLeft, pixelsTop), (pixelsLeft, y(Corner[5]) - pixelsBottom), Corner[5] - (pixelsRight, pixelsBottom), (x(Corner[5]) - pixelsRight, pixelsTop)}]) → borderBox
  29. Corner(5) → layoutAppSize
  30. Segment(A, B) → displaySegment
  31. expandSegment(A, B, (pulsing * 7), Corner[1], Corner[3], Corner[5]) → pulsingObject
  32. onboardingTextOffset(Corner[onboardingText, 1], Corner[onboardingText, 3], onboardingCase, Corner[1], Corner[3], Corner[5]) → OnboardingTextOffset
  33. Element({If[layoutX ≟ 16, layoutX - 5, 11], layoutX - 5}, layoutCase) → layoutHintSolnX

AI Drawing Prompt Reference

Draw a graph of the solution set for an inequality, including a border box to indicate the problem type and value type. Use random numbers to generate different A, B, and C values, and select specific values using index selection. Based on these values, draw a segment and a pulsing object to show the dynamic changes in the solution set. Finally, add hint text to guide the user on how to input the solution set through the input boxes.
The prompt above was compiled from the original drawing commands and is for reference only.