Intermediate algebra

Synopsis

1 Review of Basic Algebraic Concepts Sets of Numbers and Interval Notation Operations on Real Numbers Simplifying Expressions Linear Equations in One Variable Midchapter Review Applications of Linear Equations in One Variable Literal Equations and Applications to Geometry Linear Inequalities in One Variable 2 Linear Equations in Two and Three Variables Linear Equations in Two Variables Slope of a Line Equations of a Line Applications of Linear Equations and Graphing Midchapter Review Systems of Linear Equations in Two Variables Applications of Systems of Linear Equations in Two Variables Systems of Linear Equations in Three Variables Solving Systems of Linear Equations Using Matrices 3 Introduction to Relations and Functions Introduction to Relations Introduction to Functions Graphs of Basic Functions Midchapter Review Additional Topics on Functions Variation 4 Polynomials Properties of Integer Exponents and Scientific Notation Polynomial Functions and Applications Addition and Subtraction of Polynomials Midchapter Review Multiplication of Polynomials Division of Polynomials Synthetic Division 5 Radicals and Complex Numbers Definition of an nth-Root Rational Exponents Properties of Radicals Midchapter Review Addition and Subtraction of Radicals Multiplication of Radicals Rationalization Radical Equations Complex Numbers 6 Factoring and Quadratic Functions Greatest Common Factor and Factoring by Grouping Factoring Trinomials Factoring Binomials Midchapter Review: A Factoring Strategy Zero Product Rule Completing the Square and the Square Root Property Quadratic Formula Equations in Quadratic Form 7 Quadratic Functions and Nonlinear Systems Graphs of Quadratic Functions Applications of Quadratic Functions Midchapter Review Distance Formula and Circles Nonlinear Systems of Equations in Two Variables 8 Rational Expressions Introduction to Rational Functions Multiplication and Division of Rational Expressions Addition and Subtraction of Rational Expressions Midchapter Review Complex Fractions Rational Equations Applications of Rational Equations and Proportions 9 More Equations and Inequalities Compound Inequalities Polynomial and Rational Inequalities Midchapter Review Absolute Value Equations Absolute Value Inequalities Linear Inequalities in Two Variables 10 Exponential and Logarithmic Functions Exponential Functions Logarithmic Functions Properties of Logarithms The Irrational Number, e Midchapter Review Exponential and Logarithmic Equations