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Algebra II Chapter 2 Functions, Equations, and Graphs
© Tentinger
   Essential Understanding: Graphing an inequality
    in two variable is similar to graphing a line. The
    graph of a linear inequality contains all points
    on one side of the line and may not include the
    points on the line.

   Objectives:
   Students will be able to graph two-variable
    inequalities
   Algebra
   A-CED.2. Create equations in two or more
    variables to represent relationships between
    quantities; graph equations on coordinate axes
    with labels and scales.
   Functions
   F-IF.7. Graph functions expressed symbolically
    and show key features of the graph, by hand in
    simple cases and using technology for more
    complicated cases.★
   Linear Inequality: an inequality in two
    variables whose graph is a region of the
    coordinate plane bounded by a line known as
    the boundary line.
   The boundary line separates the graph into
    two half planes, one of which consists of
    solutions to the inequality.
   To determine where to shade, pick a test
    point that is not on the boundary line.
   If that point satisfies the inequality, shade the
    half plane that includes the test point.
   If that point does not satisfies the inequality,
    shade the half plane that doesn’t include the
    test point.
   y ≥ -2x + 1



   y < -2x + 1


   y – 4 ≥ 2|x – 1|
   Pg. 118-119
   # 8, 12, 13, 18, 21, 40, 42, 45
   (8 problems)

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Alg II 2-8 Inequalities

  • 1. Algebra II Chapter 2 Functions, Equations, and Graphs © Tentinger
  • 2. Essential Understanding: Graphing an inequality in two variable is similar to graphing a line. The graph of a linear inequality contains all points on one side of the line and may not include the points on the line.  Objectives:  Students will be able to graph two-variable inequalities
  • 3. Algebra  A-CED.2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.  Functions  F-IF.7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★
  • 4. Linear Inequality: an inequality in two variables whose graph is a region of the coordinate plane bounded by a line known as the boundary line.  The boundary line separates the graph into two half planes, one of which consists of solutions to the inequality.
  • 5. To determine where to shade, pick a test point that is not on the boundary line.  If that point satisfies the inequality, shade the half plane that includes the test point.  If that point does not satisfies the inequality, shade the half plane that doesn’t include the test point.
  • 6. y ≥ -2x + 1  y < -2x + 1  y – 4 ≥ 2|x – 1|
  • 7.
  • 8. Pg. 118-119  # 8, 12, 13, 18, 21, 40, 42, 45  (8 problems)