Algebra for College Students

1.1 Prime Numbers, Exponents, and LCM

1.2a Name that Real Number

1.2b Properties of Real Numbers

1.3a Introduction to Absolute Values

1.3b Addition with Real Numbers

1.3c Subtraction with Real Numbers

1.3d Multiplication and Division with Real Numbers

1.3e Order of Operations

1.4a Simplifying Expressions

1.4b Solving Linear Equations

1.4c Solving Absolute Value Equations

1.5a Evaluating Formulas

1.5b Solving Formulas

1.6 Applications

1.7a Solving Linear Inequalities

1.7b Solving Absolute Value Inequalities

2.1a Introduction to the Cartesian Coordinate System

2.1b Graphing Linear Equations by Plotting Points

2.2 Graphing Linear Equations in Slope-Intercept Form

2.3a Finding the Equation of a Line

2.3b Graphing Linear Equations in Point-Slope Form

2.4 Introduction to Functions and Function Notation

2.5 Graphing Linear Inequalities

3.1a Solving Systems of Linear Equations by Graphing

3.1b Solving Systems of Linear Equations by Substitution

3.1c Solving Systems of Linear Equations by Addition

3.2 Applications: Systems of Equations

3.3 Solving Systems of Linear Equations with Three Variables

3.4 Matrices and Gaussian Elimination

3.5 Determinants

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

3.7 Systems of Linear Inequalities

4.1a Simplifying Integer Exponents I

4.1b Simplifying Integer Exponents II

4.1c Scientific Notation

4.2a Identifying Polynomials

4.2b Adding and Subtracting Polynomials

4.3a Multiplying Polynomials

4.3b The FOIL Method

4.4a Division by a Monomial

4.4b The Division Algorithm

4.5a GCF of a Polynomial

4.5b Factoring by Grouping

4.6a Factoring Trinomials by Trial and Error

4.6b Factoring Trinomials by the ac-Method

4.7a Special Factorizations - Squares

4.7b Special Factorizations - Cubes

4.8 Solving Equations by Factoring

4.9 Using a Graphing Calculator to Solve Equations

5.1a Defining Rational Expressions

5.1b Multiplication and Division with Rational Expressions

5.2 Addition and Subtraction with Rational Expressions

5.3 Complex Fractions

5.4 Solving Equations with Rational Expressions

5.5 Applications Involving Rational Expressions

5.6 Applications: Variation

6.1a Evaluating Radicals

6.1b Simplifying Radicals

6.2 Rational Exponents

6.3a Addition and Subtraction with Radicals

6.3b Multiplication with Radicals

6.3c Rationalizing Denominators

6.4 Solving Radical Equations

6.5 Functions with Radicals

6.6 Complex Numbers

6.7 Multiplication and Division with Complex Numbers

7.1a Quadratic Equations: The Square Root Method

7.1b Quadratic Equations: Completing the Square

7.2 Quadratic Equations: The Quadratic Formula

7.3 Applications: Quadratic Equations

7.4 Equations in Quadratic Form

7.5 Graphing Parabolas

7.6a Solving Quadratic Inequalities

7.6b Solving Inequalities with Rational Expressions

8.1 Algebra of Functions

8.2 Composition of Functions and Inverse Functions

8.3 Exponential Functions and the Number e

8.4 Logarithmic Functions

8.5 Properties of Logarithmic Functions

8.6 Common Logarithms and Natural Logarithms

8.7 Exponential and Logarithmic Equations

8.8 Applications: Exponential and Logarithmic Functions