Beginning & Intermediate Algebra with POWER Learning

Chapter 1 The Real Number System and Geometry

1.1 Review of Fractions

1.2 Exponents and Order of Operations

1.3 Geometry Review

1.4 Sets of Numbers and Absolute Value

1.5 Addition and Subtraction of Real Numbers

1.6 Multiplication and Division of Real Numbers

1.7 Algebraic Expressions and Properties of Real Numbers

Chapter 2 Rules of Exponents

2.1A Basic Rules of Exponents: The Product Rule and Power Rules

2.1B Basic Rules of Exponents: Combining the Rules

2.2A Integer Exponents Bases: Real-Number Bases

2.2B Integer Exponents Bases: Variable Bases

2.3 The Quotient Rule

2.4 Scientific Notation

Chapter 3 Linear Equations and Inequalities in One Variable

3.1 Solving Linear Equations Part I

3.2 Solving Linear Equations Part II

3.3 Applications of Linear Equations

3.4 Applications Involving Percents

3.5 Geometry Applications and Solving Formulas

3.6 Applications of Linear Equations to Proportions, Money Problems, and d=rt

3.7 Linear Inequalities in One Variable

3.8 Compound Inequalities in One Variable

Chapter 4 Linear Equations in Two Variables and Functions

4.1 Introduction to Linear Equations in Two Variables

4.2 Graphing by Plotting Points and Finding Intercepts

4.3 The Slope of a Line

4.4 The Slope-Intercept Form of a Line

4.5 Writing an Equation of a Line

4.6 Introduction to Functions

Chapter 5 Solving Systems of Linear Equations

5.1 Solving Systems by Graphing

5.2 Solving Systems by the Substitution Method

5.3 Solving Systems by the Elimination Method

5.4 Applications of Systems of Two Equations

5.5 Solving Systems of Three Equations and Applications

5.6 Solving Systems of Linear Equations Using Matrices

Chapter 6 Polynomials

6.1 Review of the Rules of Exponents

6.2 Addition and Subtraction of Polynomials

6.3 Multiplication of Polynomials

6.4 Division of Polynomials

Chapter 7 Factoring Polynomials

7.1 The Greatest Common Factor and Factoring by Grouping

7.2 Factoring Trinomials of the Form x2+bx+c

7.3 Factoring Trinomials of the Form ax2+bx+c (a≠1)

7.4 Factoring Special Trinomials and Binomials

7.5 Solving Quadratic Equations by Factoring

7.6 Applications of Quadratic Equations