Algebra for College Students, 7th Edition

0.1 Understanding and Reducing Stress

0.2 Staying Organized

0.3 Managing Your Time Effectively

0.4 Reading a Textbook and Note-Taking

0.5 Using Effective Study Strategies

0.6 Reducing Test Anxiety

1.1 Exponents, Prime Numbers, and LCM

1.2 The Real Number Line and Absolute Value

1.3 Introduction to Sets

1.4 Operations with Real Numbers

1.5 Order of Operations with Real Numbers

1.6 Properties of Real Numbers

2.1 Simplifying and Evaluating Algebraic Expressions

2.2 Solving Linear Equations

2.3 Absolute Value Equations

2.4 Working with Formulas

2.5 Applications: Number Problems and Consecutive Integers

2.6 Applications: Distance-Rate-Time, Interest, Average, and Cost

2.7 Solving Linear Inequalities in One Variable

2.8 Absolute Value Inequalities

3.1 The Cartesian Coordinate System

3.2 Graphing Linear Equations in Two Variables

3.3 Slope-Intercept Form

3.4 Point-Slope Form

3.5 Introduction to Functions and Function Notation

3.6 Graphing Linear Inequalities in Two Variables

4.1 Systems of Linear Equations: Solutions by Graphing

4.2 Systems of Linear Equations: Solutions by Substitution

4.3 Systems of Linear Equations: Solutions by Addition

4.4 Applications: Distance-Rate-Time, Number Problems, Amounts, and Cost

4.5 Applications: Interest and Mixture

4.6 Systems of Linear Equations: Three Variables

4.7 Matrices and Gaussian Elimination

4.8 Determinants

4.9 Determinants and Systems of Linear Equations: Cramer's Rule

4.10 Systems of Linear Inequalities

5.1 Rules for Exponents

5.2 Power Rules for Exponents

5.3 Applications: Scientific Notation

5.4 Introduction to Polynomials

5.5 Addition and Subtraction with Polynomials

5.6 Multiplication with Polynomials

5.7 Special Products of Binomials

5.8 Division with Polynomials

5.9 Synthetic Division and the Remainder Theorem

6.1 Greatest Common Factor (GCF) and Factoring by Grouping

6.2 Factoring Trinomials: x^2 + bx + c

6.3 Factoring Trinomials: ax^2 + bx + c

6.4 Special Factoring Techniques

6.5 Review of Factoring Techniques

6.6 Solving Quadratic Equations by Factoring

6.7 Applications: Quadratic Equations

6.8 Using a Graphing Calculator to Solve Equations

7.1 Introduction to Rational Expressions

7.2 Multiplication and Division with Rational Expressions

7.3 Least Common Multiple of Polynomials

7.4 Addition and Subtraction with Rational Expressions

7.5 Simplifying Complex Fractions

7.6 Solving Rational Equations

7.7 Applications: Rational Expressions

7.8 Applications: Variation

8.1 Evaluating Radicals

8.2 Simplifying Radicals

8.3 Rational Exponents

8.4 Addition, Subtraction, and Multiplication with Radicals

8.5 Rationalizing Denominators

8.6 Solving Radical Equations

8.7 Functions with Radicals

8.8 Introduction to Complex Numbers

8.9 Multiplication and Division with Complex Numbers

9.1 Quadratic Equations: The Square Root Method

9.2 Quadratic Equations: Completing the Square

9.3 Quadratic Equations: The Quadratic Formula

9.4 More Applications of Quadratic Equations

9.5 Equations in Quadratic Form

9.6 Graphing Quadratic Functions

9.7 More on Graphing Quadratic Functions and Applications

9.8 Solving Polynomial and Rational Inequalities

10.1 Algebra of Functions

10.2 Composition of Functions and Inverse Functions

10.3 Exponential Functions

10.4 Logarithmic Functions

10.5 Properties of Logarithms

10.6 Common Logarithms and Natural Logarithms

10.7 Logarithmic and Exponential Equations and Change-of-Base

10.8 Applications: Exponential and Logarithmic Functions

11.1 Translations and Reflections

11.2 Parabolas as Conic Sections

11.3 Distance Formula, Midpoint Formula, and Circles

11.4 Ellipses and Hyperbolas

11.5 Nonlinear Systems of Equations

12.1 Sequences

12.2 Sigma Notation

12.3 Arithmetic Sequences

12.4 Geometric Sequences and Series

12.5 The Binomial Theorem

A.1 Review of Fractions

A.2 The Fundamental Counting Principle and Permutations

A.3 Combinations