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Summary
Table of Contents
Review of Basic Algebraic Concepts  
Sets of Number and Interval Notation  
Operation on Real Numbers  
Simplifying Expressions  
Linear Equations in One Variable  
Problem Recognition Exercises: Expressions and Equations  
Applications of Linear Equations in One Variable  
Literal Equations and Applications to Geometry  
Linear Inequalities in One Variable  
Properties of Integer Exponents and Scientific Notation  
Graphing Linear Equations and Functions  
Linear Equations in Two Variables  
Slope of a Line  
Problem Recognition Exercises: Intercepts and Slope  
Equations of a Line  
Application of Linear Equations and Modeling  
Introduction to Relations  
Introduction to Functions  
Graphs of Basic Functions  
Systems of Linear Equations  
Solving Systems of Linear Equations by Graphing  
Solving Systems of Linear Equations by Using the Substitution Method  
Solving Systems of Linear Equations by Using the Addition Method  
Problem Recognition Exercises: Method of Solving Systems of Equations  
Applications of Systems of Linear Equations in Two Variables  
Systems of Linear Equations in Three Variables and Applications  
Solving Systems of Linear Equations by Using Matrices  
Polynomials  
Addition and Subtraction of Polynomials and Polynomial Functions.  
Multiplication of Polynomials  
Division of Polynomials  
Problem Recognition Exercises: Operations on Polynomials  
Greatest Common Factor and Factoring by Grouping  
Factoring Trinomials  
Factoring Binomials  
Additional Factoring Strategies  
Solving Equations by Using the Zero Product Rule  
Rational Expressions and Rational Equations  
Rational Expressions and Rational Functions  
Multiplication and Division of Rational Expressions  
Addition and Subtraction of Rational Expressions  
Complex Fractions  
Problem Recognition Exercises: Simplifying Rational Expressions  
Solving Rational Equations  
Problem Recognition Exercises: Rational Expressions and Equations  
Applications of Rational Equations and Proportions  
Variation  
Radicals and Complex Numbers  
Definition of an nthRoot  
Rational Exponents  
Simplifying Radical Expressions  
Addition and Subtraction of Radicals  
Multiplication of Radicals  
Problem Recognition Exercises: Operations on Radical Expressions  
Rationalization  
Solving Radical Equations  
Complex Numbers  
Quadratic Equations and Functions  
Square Root Property and Completing the Square  
Quadratic Formula  
Equations in Quadratic Form  
Problem Recognition Exercises: Recognizing Equation Types  
Graphs of Quadratic Functions  
Applications of Quadratic Functions and Modeling  
More Equations and Inequalities  
Compound Inequalities  
Polynomial and Rational Inequalities  
Absolute Value Equations  
Absolute Value Inequalities  
Problem Recognition Exercises: Equations and Inequalities  
Linear Inequalities in Two Variables  
Exponential and Logarithmic Functions  
Algebra and Composition of Functions  
Inverse Functions  
Exponential Functions  
Logarithmic Functions  
Properties of Logarithms  
The Irrational Number e  
Problem Recognition Exercises: Logarithmic and Exponential Forms  
Exponential and Logarithmic Equations  
Conic Sections  
Distance Formula, Midpoint, and Circles  
More of the Parabola  
The Ellipse and Hyperbola  
Problem Recognition Exercises: Identifying and Graphing Conic Sections  
Nonlinear Systems of Equations in Two Variables  
Nonlinear Inequalities and System if Inequalities  
Additional Topics Appendix  
Binomial Expansions  
Determinants and Cramer’s Rule  
Sequences and Series  
Arithmetic and Geometric Sequences and Series  
Table of Contents provided by Publisher. All Rights Reserved. 
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