Beginning & Intermediate Algebra

Chapter S: Success Strategies

S.1: Time Management and Goal Setting

S.2: Learning Styles

S.3: Study Skills

S.4: Test Taking

S.5: Blended and Online Classes

Chapter 1: Real Numbers and Algebraic Expressions

1.1: The Set of Real Numbers

1.2: Fractions Review

1.3: The Order of Operations, Algebraic Expressions and Equations

1.4: Addition of Real Numbers

1.5: Subtraction of Real Numbers

1.6: Multiplication and Division of Real Numbers

1.7: Properties of Real Numbers

1.8: Algebraic Expressions

Chapter 2: Linear Equations & Inequalities in One Variable

2.1: Equations and Their Solutions

2.2: The Addition Property of Equality

2.3: The Multiplication Property of Equality

2.4: More on Solving Linear Equations

2.5: Formulas and Applications from Geometry

2.6: Percent, Rate, and Mixture Problems

2.7: Linear Inequalities in One Variable

Chapter 3: Linear Equations in Two Variables

3.1: Equations and the Rectangular Coordinate System

3.2: Graphing Linear Equations

3.3: The Slope of a Line

3.4: More about Slope

3.5: Writing Equations of Lines

3.6: Functions

Chapter 4: Systems of Linear Equations in Two and Three Variables

4.1: Solving Systems of Linear Equations Graphically

4.2: Solving Systems of Linear Equations by Substitution

4.3: Solving Systems of Linear Equations by Elimination

4.4: Applications of Systems of Linear Equations in Two Variables

4.5: Solving Systems of Linear Equations in Three Variables and Their Applications

Chapter 5: Exponents, Polynomials, and Polynomial Functions

5.1: Rules of Exponents and Zero and Negative Exponents

5.2: More Rules of Exponents and Scientific Notation

5.3: Polynomial Functions, Addition and Subtraction of Polynomials

5.4: Multiplication of Polynomials and Polynomial Functions

5.5: Special Products

5.6: Division of Polynomials

5.7: Synthetic Division and the Remainder Theorem

Chapter 6: Factoring Polynomials and Polynomial Equations

6.1: Greatest Common Factor and Grouping

6.2: Factoring Trinomials

6.3: More on Factoring Trinomials

6.4: Factoring Binomials

6.5: Solving Quadratic Equations and Other Polynomial Equations by Factoring

6.6: Applications of Quadratic Equations

Chapter 7: Rational Functions and Equations

7.1: Rational Functions and Simplifying Rational Expressions

7.2: Multiplication and Division of Rational Expressions

7.3: Least Common Denominator and Equivalent Fractions

7.4: Addition and Subtraction of Rational Expressions

7.5: Complex Fractions

7.6: Solving Rational Equations

7.7: Proportions and Other Applications of Rational Equations

Chapter 8: More on Functions and Graphs; Variation

8.1: The Domain and Range of Functions

8.2: Graphing and Writing Linear Functions

8.3: Graphing Nonlinear Functions and Piecewise Defined Functions

8.4: Variation and Applications

Chapter 9: Inequalities and Absolute Value

9.1: Compound Inequalities

9.2: Absolute Value Equations

9.3: Absolute Value Inequalities

9.4: Linear Inequalities in Two Variables and Systems of Linear Inequalities

Chapter 10: Rational Exponents, Radicals, and Complex Numbers

10.1: Radicals and Radical Functions

10.2: Rational Exponents

10.3: Simplifying Radical Expressions

10.4: Adding, Subtracting, and Multiplying Radical Expressions

10.5: Dividing Radicals and Rationalizing

10.6: Radical Equations and their Applications

10.7: Complex Numbers

Chapter 11: Quadratic Equations and Functions

11.1: Quadratic Functions and their Graphs

11.2: Solving Quadratic Equations by the Square Root Property and Completing the Square

11.3: Solving Quadratic Equations by the Quadratic Formula

11.4: Solving Equations by Using Quadratic Methods

11.5: More on Graphing Quadratic Functions

11.6: Solving Quadratic and Rational Inequalities in One Variable

Chapter 12: Exponential and Logarithmic Functions

12.1: Operations and Composition of Functions

12.2: Inverse Functions

12.3: Exponential Functions

12.4: Logarithmic Functions

12.5: Properties of Logarithms

12.6: The Common Log, Natural Log, and Change of Base Formula

12.7: Exponential and Logarithmic Equations and Applications

Chapter 13: Conic Sections and Nonlinear Systems

13.1: The Parabola and the Circle

13.2: The Ellipse and the Hyperbola

13.3: Solving Nonlinear Systems of Equations

13.4: Solving Nonlinear Inequalities and Systems of Inequalities

Chapter 14: Sequences, Series, and the Binomial Theorem

14.1: Sequences

14.2: Arithmetic Sequences and Series

14.3: Geometric Sequences and Series

14.4: The Binomial Theorem