Download Chapter 2 Summary: Linear Equations and Inequalities in Two

Chapter 2 Summary: Linear Equations and Inequalities in Two Variables
Course Textbook by McKeague, Essentials of Elementary and Intermediate Algebra: A Combine Course, XYZ Textbook
Section 1:
Know The Following Definitions
 Table of Values
 Independent Variable
 Dependent Variable
 Ordered Pair
 x-axis and y-axis
Section 2:
Know The Following Definitions
 Linear equation in two variables
Section 3:
Know The Following Definitions
 Graph
Section 4:
Know The Following Definitions
 x-intercept and y-intercept
Section 5:
Know The Following Definitions
 Slope
Be Able To
 Create a table of values from an algebraic
equation
 Plot ordered pairs
 Apply the concepts
Be Able To
 Determine if given ordered pairs are
solutions of linear equations in two
variables
 Complete table of values for linear
equations in two variables
 Apply the concepts
Be Able To
 Construct graphs by plotting points for
linear equations in one variable and two
variables
Be Able To
 Find the x-intercept and y-intercept
 Construct a graph using the x-intercept and
y-intercept
 Apply the concepts
Be Able To
 Find the slope given two points
 Construct a graph using the slope and yintercept
 Apply the concepts
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Be able to use the formula

Slope of a line containing the points (x1, y1) and (x2, y2):
Section 6:
Know The Following Definitions
 Slope-intercept form of an equation of a
straight line
 The point-slope form of an equation of a
straight line
Be able to use the formulas
 Slope-Intercept form of a line:

Point-Slope form of a line:
m
y2  y1
x2  x1
Be Able To
 Find the equation of a line given the slope
and y-intercept
 Find the equation of a line given one point
and a slope
 Find the equation of a line given two
points
 Apply the concepts
y  mx  b
y  y1  m( x  x1 )
Section 7:
Know The Following Definitions
 Linear inequality in two variables
Be Able To
 Construct a graph of a linear inequality in
two variables
Sample Applications of Chapter 2 Content
 Read a graph
 Identify and interpret slope
 Calculate and interpret slope
 Write linear equation and interpret slope
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