Linear Inequalities: Solutions
Using Graphing with Two
Variables
Example1
Graphthesolutiontothissystemofinequalities.
Tographthesolutiontoasystemofinequalities,followthis
procedure:
1.
Grapheachsentenceonthesamesetofaxes.
2.
Seewheretheshadingofthesentenc
Unit2Day1:LINEARRELATIONS
Fact: : The graph of a linear relation is a straight line.
1
METHODSOFGRAPHING:
1.1 TABLEOFVALUES
Match each table of values with its corresponding equation. How did you match them? What method did
you use? What about the graphs?
Unit2Day4LinearSystemsELIMINATION
In this unit we are learning about solving systems of equations. When we have a system of two lines,
represented by two equations there are three possible outcomes:
1) The two line intersect, either because they are perpe
Slopes of Parallel and
Perpendicular Lines
Parallellineshaveequalslopes.Conversely,iftwodifferentlines
haveequalslopes,theyareparallel.Iftwononverticallinesare
perpendicular,thentheirslopesarenegativereciprocals(actually,
oppositereciprocals)ofoneanother,
Slope of a Line
Theslopeofalineisameasurementofthesteepnessanddirection
ofanonverticalline.Whenalineslantsfromlowerlefttoupperright,
theslopeisapositivenumber.Item(a)inFigure1showsalinewith
apositiveslope.Whenalineslantsfromupperlefttolowerright,the
slope
Linear Equations: Solutions Using
Substitution with Two Variables
Tosolvesystemsusingsubstitution,followthisprocedure:
Selectoneequationandsolveitforoneofitsvariables.
Intheotherequation,substituteforthevariablejustsolved.
Solvethenewequation.
Substitutet
Unit1Day9,Specialquadraticsfactoring
Match the following:
1
.
a)
2
.
b)
3
.
c)
4
.
d)
5
.
e)
6
.
f)
To factor a polynomial in the form a2 b2, use the pattern for the difference of squares
a2 b2 =(a+ b)(a b)
To factor a perfect square trinomial, use the pa