College Algebra with Corequisite Support 1e

Chapter R: Review of Prerequisites

Section R.1 Operations on Fractions

Section R.2 The Set of Real Numbers

Section R.3 Simplifying Numerical Expressions

Chapter 1: Linear Equations and Inequalities

Section 1.1 Algebraic Expressions and Models

Section 1.2 Linear Equations in One Variable

Section 1.3 Applications of Linear Equations in One Variable

Section 1.4 Union and Intersections of Sets

Section 1.5 Linear and Compound Inequalities

Section 1.6 Absolute Value Equations

Section 1.7 Absolute Value Inequalities

Chapter 2: Polynomials

Section 2.1 Integer Exponents and Scientific Notation

Section 2.2 Operations on Polynomials

Section 2.3 Greatest Common Factor and Factoring by Grouping

Section 2.4 Factoring Trinomials

Section 2.5 Factoring Polynomials

Chapter 3: Quadratic Equations

Section 3.1 Introduction to Radicals and Their Simplification

Section 3.2 Multiplying Radicals and Rationalizing the Denominator

Section 3.3 Complex Numbers

Section 3.4 Solving Quadratic Equations by Factoring

Section 3.5 Solving Quadratic Equations by Using the Square Root Property

Section 3.6 Solving Quadratic Equations by Using the Quadratic Formula

Chapter 4: More Expressions and Equations

Section 4.1 Multiplication and Division of Rational Expressions

Section 4.2 Addition and Subtraction of Rational Expressions

Section 4.3 Rational Equations

Section 4.4 Applications of Rational Equations

Section 4.5 Rational Exponents

Section 4.6 Radical Equations and Equations with Rational Exponents

Section 4.7 Equations in Quadratic Form

Chapter 5: Functions and Relations

Section 5.1 The Rectangular Coordinate System and Graphing Utilities

Section 5.2 Circles

Section 5.3 Functions and Relations

Section 5.4 Linear Equations in Two Variables and Linear Functions

Section 5.5 Applications of Linear Equations and Modeling

Chapter 6: Transformations and Analysis of Functions

Section 6.1 Transformations of Graphs

Section 6.2 Symmetry and Piecewise-Defined Functions

Section 6.3 Average Rate of Change, Difference Quotient, and Function Behavior

Section 6.4 Algebra of Functions and Function Composition

Chapter 7: Polynomial Functions

Section 7.1 Quadratic Functions and Applications

Section 7.2 Introduction to Polynomial Functions

Section 7.3 Division of Polynomials and the Remainder and Factor Theorems

Section 7.4 Zeros of Polynomials

Section 7.5 Polynomial Inequalities and Applications

Chapter 8: Rational Functions

Section 8.1 Introduction to Rational Functions

Section 8.2 Graphs of Rational Functions

Section 8.3 Rational Inequalities

Section 8.4 Variation

Chapter 9: Exponential and Logarithmic Functions

Section 9.1 Inverse Functions

Section 9.2 Exponential Functions

Section 9.3 Logarithmic Functions

Section 9.4 Properties of Logarithms

Section 9.5 Exponential Equations and Applications

Section 9.6 Logarithmic Equations and Applications

Section 9.7 Modeling with Exponential and Logarithmic Functions

Chapter 10: Systems of Equations and Inequalities

Section 10.1 Graphs of Systems of Linear Equations in Two Variables

Section 10.2 Systems of Linear Equations in Two Variables and Applications

Section 10.3 Systems of Linear Equations in Three Variables and Applications

Section 10.4 Partial Fraction Decomposition

Section 10.5 Systems of Nonlinear Equations in Two Variables

Section 10.6 Inequalities and Systems of Inequalities in Two Variables

Section 10.7 Linear Programming

Chapter 11: Matrices and Determinants and Applications

Section 11.1 Solving Systems of Linear Equations Using Matrices

Section 11.2 Inconsistent Systems and Dependent Equations

Section 11.3 Operations on Matrices

Section 11.4 Inverse Matrices and Matrix Equations

Section 11.5 Determinants and Cramer's Rule

Chapter 12 (Online): Analytic Geometry

Chapter 13 (Online): Sequences, Series, Induction, and Probability