ITF Unit 2

ITF Unit 2

1. System of linear equations

   • Solving
     • Graphing
       • as linear equation
         • Use a straightedge!
     • Substitution
       • a equation is solve for x or y
         • plug it in in another equation
           • use it when:
             • there was a equation solve for x/y
             • the coefficient of x/y is 1
     • Elimanation
       • same/opposite coefficient of x/y
         • plus/subtract two equations
           • use it when:
             • the same coefficient
             • the coefficient of two equations can be the same
   • Meaning
     • two or more linear equation
   • Checking
     • plug the points in the equation
       • check in BOTH original equation
   • Solutions
     • Graphing
       • one solution
         • different slope
       • no solution
         • same slope
           • different y-intercept
             • parallel lines
       • infinitely many solutions
         • same slope
           • same y-intercept
             • the same line
     • Substitution/Elimination
       • No solution
         • false statement
       • Infinitely many solutions
         • true statement

2. Linear inequalities

   • Solving
     • Graphing
       • Graph like a linear equation
         • Solid or dashed?
           • Shade
             • >, ≥:above
             • <, ≤: below
             • Check: (0,0)
           • ≥ or ≤: solid line
           • < or >: dashed line
   • Solutions
     • an ordered pair that makes the inequality ture
   • Write the equation
     • Steps
       • find slope and y-intercept
         • determine direction of inequality symbol
           • determine inequality symbol

3. Comparing functions

   • Key words let you know you are:
     • comparing slope/roc.
     • comparing y-intercept
     • evaluating functions

4. System of linear inequalities

   • Meaning
     • two or more linear inequalities
   • Graphing
     • Write inequalities in slope-intercept form
       • Graph
         • Make direction of shading
           • Do the same thing with second inequality
             • Test a point in the overlap - check
   • Solutions
     • region where the graphs of the individual inequalities overlap
     • No solution
       • opposite inequality symbols
         • parallel lines
         • same line
           • at least one line is dashed
     • Special case
       • two same lines
         • two solid lines
           • Solution is the points on the line
   • Application problems
     • underline keywords
       • determine variables
         • label axes
           • write inequalities
             • create scales
               • graph
                 • check boudries
               • must include all x and y intercepts