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Graphing Linear Inequalities with 2 Variables (Quiz)

Graphing Linear Inequalities with 2 Variables (Quiz)
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2020-03-04 10:10
FunctionCoordinate GeometryInequalitySlider AnimationGraphing
This interactive quiz demonstrates how to graph the solution region of a linear inequality in two variables on the Cartesian plane. Core math concepts include linear inequalities, boundary lines, half-planes, intersection and union of solution sets, and using slope and intercept to determine shading direction. Construction highlights: GeoGebra commands such as Sequence, Random, Line, Slope, Union, and FractionText are used to generate random coefficients, draw boundary lines, compute slopes, and display fractional values; buttons (button1, button2) trigger new questions and check answers, while multiple text objects (text1 to text8) present the problem, feedback, and hints. Suitable for high school algebra or pre-calculus students learning linear programming foundations, and ideal for classroom practice or self-assessment.

GeoGebra Commands & Parameters

  1. Sequence(i, i, -10, -1) → a
  2. Sequence(i, i, -10, -1) → b
  3. Sequence(i, i, 1, 10) → c
  4. Union(b, c) → d
  5. Random(-10, 10) → e
  6. Line(A, B) → i
  7. FractionText(Slope[f]) → text1
  8. FractionText(f(0)) → text2
  9. Random(1, 4) → symbol
  10. Line(A, B) → h
  11. Slope(i) → slope_i

AI Drawing Prompt Reference

Draw a Cartesian plane with a linear inequality solution region. Start by placing two random points and drawing a boundary line through them, displaying the line's slope and y-intercept as fractions. Based on a randomly chosen inequality sign (like greater than or less than), shade one half-plane to represent the solution set. Include two buttons: one to generate a new problem and another to check the answer. Add text labels showing the inequality statement, feedback, and hints to guide shading direction. The graph updates randomly each time, suitable for interactive practice.
The prompt above was compiled from the original drawing commands and is for reference only.