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Study Guides

MATH 0123

Unit 1: Equations, Inequalities, and Systems

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Radicals and Rational Exponents

Unit 3: Polynomial and Rational Functions

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Review Topics for Success
Complex Numbers
The Graph of a Quadratic Function
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Projectile Motion
Factoring Polynomials
Summary: Review
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Quadratic Equations
Polynomial Basics
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Review Topics for Success
Review Topics for Success
Solve Rational Equations
Identify and Evaluate Polynomials
Using and Manipulating Formulas
Greatest Common Factor
Inequality Symbols and Graphs
Define and Simplify Rational Expressions
Summary: Review
Summary: Review
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Linear Inequalities and Absolute Value Inequalities
Review Topics for Success
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Basic Characteristics of Polynomial Functions
Review Topics for Success
Graphs of Polynomial Functions
Graph a Linear Inequality in Two Variables
Summary: Review
Solution Sets of Inequalities
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Define Solutions to Systems of Linear Inequalities
Review Topics for Success
Graph Solutions to Systems of Linear Inequalities
Applications with Rational Equations
Applications of Systems of Linear Inequalities
Applications with Radical Equations
Summary: Review
Graph Radical Functions
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Proportions
Graphs of Quadratic Functions
Summary: Review
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Exponents and Scientific Notation
Dividing Polynomials
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Unit 2: Graphs and Functions

Methods for Finding Zeros of Polynomials
Points and Lines in the Plane
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Rational Functions
Review Topics for Success
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Multi-Step Equations
Introduction to Radical Functions
Solve Equations with the Distributive Property
Radicals as Inverse Polynomial Functions
Classify Solutions to Linear Equations
Domains of Radical Functions
Summary: Review
Summary: Radical Functions
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Equations of Lines

Unit 4: Exponential and Logarithmic Functions

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Exponential Functions
Review Topics for Success
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Define a Function
Graphs of Exponential Functions
Function Notation and Graphs of Functions
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Evaluate Functions
Introduction to Properties of Logarithms
Summary: Review
Properties of Logarithms
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Expanding and Condensing Logarithms
Characteristics of Functions and Their Graphs
Change of Base Formula
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Summary: Properties of Logarithms
Domain and Range of Functions
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Logarithmic Functions
Review Topics for Success
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Domain Restrictions
Graphs of Logarithmic Functions
Find Domain and Range From a Graph
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Summary: Review
Review Topics for Success
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The Rules for Exponents
Compositions of Functions
Evaluating and Solving Functions
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Summary: Review
Transformations of Functions
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Review Topics for Success
Inverse Functions
Define and Identify Exponential and Logarithmic Properties
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Summary: Review
Rational Expressions
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