Transcript Intermediate Algebra - Utah State University

Intermediate Algebra
A review of concepts
and computational skills
Chapters 1-3
The Real Numbers
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Sets and notation—union, intersection,
subset
Natural, Whole, Integers, Rational, Irrational
Graphing reals on a number line
Interval notation
Properties of Real Numbers and
Evaluating
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Commutative, Associative, Distributive
Inverse, Identity
Using properties to evaluate, simplify
expressions
Linear Equations
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Addition/subtraction property of equality
Multiplication/division property of equality
Solving linear equations in one variable
Formulas and applications
Linear Inequalities
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Interval notation for inequalities
Graphing on a number line
Solving inequalities
Compound inequalities
Absolute Value equations and inequalities
Linear Equations in Two Variables
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Graphing points and lines using ordered
pairs
Midpoint and Distance Formulas
x- and y-intercepts
Horizontal and vertical lines
Slope of a line
Parallel and perpendicular lines
More Linear Equations
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Slope-Intercept form
Standard form
Point-slope form
Use the 3 forms of a linear equation to graph
Write an equation given 2 points
Write an equation given point and slope
Linear Inequalities
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Graph lines of inequalities; choose test
points to shade solution set
Systems of linear inequalities and their
graphs
Functions and Relations
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Function—there is only one y for any value of
x
Determine if a relation is a function: tables,
mapping, vertical line test