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Create a Linear System to Solve an Application Problem

Create a Linear System to Solve an Application Problem
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2019-04-27 01:13
FunctionCoordinate Geometry
This example demonstrates how to create a linear system to solve an application problem. Key mathematical concepts include linear equations. Main GeoGebra commands used include Element, Length, Join, Zip, Sequence, etc. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Element(questionList, questionListIndex) → questionNum
  2. Element(A2:A4, questionNum) → questionText
  3. LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
  4. Length(B2) → C2
  5. Join({Sequence[(i, firstPointY), i, firstPointX, firstPointX + 36, 6], Sequence[(i, firstPointY + 3), i, firstPointX + 3, firstPointX + 36, 6]}) → pointList
  6. Zip(Circle[A, 1.6], A, pointList) → circleList
  7. Element(B2:B4, questionNum) → itemListVals
  8. Element(circleList, 1) → circle1
  9. Element(circleList, 2) → circle2
  10. Element(circleList, 3) → circle3
  11. Element(circleList, 4) → circle4
  12. Element(circleList, 5) → circle5
  13. Element(circleList, 6) → circle6
  14. Element(circleList, 7) → circle7
  15. Element(circleList, 8) → circle8
  16. Element(circleList, 9) → circle9
  17. Element(circleList, 10) → circle10
  18. Element(circleList, 11) → circle11
  19. Length(B3) → C3
  20. Length(B4) → C4
  21. Element(D2:D4, questionNum) → correctEquation1
  22. Element(E2:E4, questionNum) → correctEquation2
  23. Element(circleList, 12) → circle12
  24. Element(circleList, 13) → circle13
  25. Sequence(Text[TableText[{{Element[itemListVals, Element[itemListOrder, i]], "\hphantom{00.00}"}}, "vc"], Element[pointList, i] + (-2.1, 0.9), false, true], i, 1, 13) → circleContents