| |

| |

| |

Introduction to Modeling | |

| |

| |

| |

Variables and Constants | |

| |

| |

| |

Scattergrams | |

| |

| |

| |

Exact Linear Relationships | |

| |

| |

| |

Approximate Linear Relationships | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 1 Review Exercises | |

| |

| |

Chapter 1 Test | |

| |

| |

| |

Operations and Expressions | |

| |

| |

| |

Expressions | |

| |

| |

| |

Operations with Fractions | |

| |

| |

| |

Adding Real Numbers | |

| |

| |

| |

Change in a Quantity and Subtracting Real Numbers | |

| |

| |

| |

Ratios, Percents, and Multiplying and Dividing Real Numbers | |

| |

| |

| |

Exponents and Order of Operations | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 2 Review Exercises | |

| |

| |

Chapter 2 Test | |

| |

| |

Cumulative Review of Chapters 1 and | |

| |

| |

| |

Using the Slope to Graph Linear Equations | |

| |

| |

| |

Graphing Equations of the Form y = mx + b | |

| |

| |

| |

Graphing Linear Models; Unit Analysis | |

| |

| |

| |

Slope of a Line | |

| |

| |

| |

Using the Slope to Graph Linear Equations | |

| |

| |

| |

Rate of Change | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 3 Review Exercises | |

| |

| |

Chapter 3 Test | |

| |

| |

| |

Simplifying Expressions and Solving Equations | |

| |

| |

| |

Commutative, Associative, and Distributive Laws | |

| |

| |

| |

Simplifying Expressions | |

| |

| |

| |

Solving Linear Equations in One Variable | |

| |

| |

| |

Solving More Linear Equations in One Variable | |

| |

| |

| |

Comparing Expressions and Equations | |

| |

| |

| |

Formulas | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 4 Review Exercises | |

| |

| |

Chapter 4 Test | |

| |

| |

Cumulative Review of Chapters 1 | |

| |

| |

| |

Linear Functions and Linear Inequalities in One Variable | |

| |

| |

| |

Graphing Linear Equations | |

| |

| |

| |

Functions | |

| |

| |

| |

Function Notation | |

| |

| |

| |

Finding Linear Equations | |

| |

| |

| |

Finding Equations of Linear Models | |

| |

| |

| |

Using Function Notation with Linear Models to Make Estimates and Predictions | |

| |

| |

| |

Solving Linear Inequalities in One Variable | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 5 Review Exercises | |

| |

| |

Chapter 5 Test | |

| |

| |

| |

Systems of Linear Equations and Systems of Linear Inequalities | |

| |

| |

| |

Using Graphs and Tables to Solve Systems | |

| |

| |

| |

Using Substitution to Solve Systems | |

| |

| |

| |

Using Elimination to Solve Systems | |

| |

| |

| |

Using Systems to Model Data | |

| |

| |

| |

Perimeter, Value, Interest, and Mixture Problems | |

| |

| |

| |

Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 6 Review Exercises | |

| |

| |

Chapter 6 Test | |

| |

| |

Cumulative Review of Chapters 1 | |

| |

| |

| |

Polynomial Functions and Properties of Exponents | |

| |

| |

| |

Adding and Subtracting Polynomial Expressions and Functions | |

| |

| |

| |

Multiplying Polynomial Expressions and Functions | |

| |

| |

| |

Powers of Polynomials; Product of Binomial Conjugates | |

| |

| |

| |

Properties of Exponents | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 7 Review Exercises | |

| |

| |

Chapter 7 Test | |

| |

| |

Making Sure You're Ready for Intermediate Algebra: A Review of Chapters 1 | |

| |

| |

| |

Factoring Polynomials and Solving Polynomial Equations | |

| |

| |

| |

Factoring Trinomials of the Form x2+bx+c and Differences of Two Squares | |

| |

| |

| |

Factoring Out the GCF; Factoring by Grouping | |

| |

| |

| |

Factoring Trinomials of the Form ax2+bx+c | |

| |

| |

| |

Sums and Differences of Cubes; A Factoring Strategy | |

| |

| |

| |

Using Factoring to Solve Polynomial Equations | |

| |

| |

| |

Using Factoring to Make Predictions with Quadratic Models | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 8 Review Exercises | |

| |

| |

Chapter 8 Test | |

| |

| |

Making Sure You're Ready for Intermediate Algebra: A Review of Chapters 1 | |

| |

| |

| |

Quadratic Functions | |

| |

| |

| |

Graphing Quadratic Functions in Vertex Form | |

| |

| |

| |

Graphing Quadratic Functions in Standard Form | |

| |

| |

| |

Simplifying Radical Expressions | |

| |

| |

| |

Using the Square Root Property to Solve Quadratic Equations | |

| |

| |

| |

Solving Quadratic Equations by Completing the Square | |

| |

| |

| |

Using the Quadratic Formula to Solve Quadratic Equations | |

| |

| |

| |

Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions | |

| |

| |

| |

Finding Quadratic Models | |

| |

| |

| |

Modeling with Quadratic Functions | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 9 Review Exercises | |

| |

| |

Chapter 9 Test | |

| |

| |

Cumulative Review of Chapters 1 | |

| |

| |

| |

Exponential Functions | |

| |

| |

| |

Integer Exponents | |

| |

| |

| |

Rational Exponents | |

| |

| |

| |

Graphing Exponential Functions | |

| |

| |

| |

Finding Equations of Exponential Functions | |

| |

| |

| |

Modeling with Exponential Functions | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 10 Review Exercises | |

| |

| |

Chapter 10 Test | |

| |

| |

| |

Logarithmic Functions | |

| |

| |

| |

Inverse Functions | |

| |

| |

| |

Logarithmic Functions | |

| |

| |

| |

Properties of Logarithms | |

| |

| |

| |

Using the Power Property with Exponential Models to Make Predictions | |

| |

| |

| |

More Properties of Logarithms | |

| |

| |

| |

Natural Logarithms | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 11 Review Exercises | |

| |

| |

Chapter 11 Test | |

| |

| |

Cumulative Review of Chapters 1 | |

| |

| |

| |

Rational Functions | |

| |

| |

| |

Finding the Domains of Rational Functions and Simplifying Rational Expressions | |

| |

| |

| |

Multiplying and Dividing Rational Expressions | |

| |

| |

| |

Adding and Subtracting Rational Expressions | |

| |

| |

| |

Simplifying Complex Rational Expressions | |

| |

| |

| |

Solving Rational Equations | |

| |

| |

| |

Modeling with Rational Functions | |

| |

| |

| |

Proportions; Similar Triangles | |

| |

| |

| |

Variation | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 12 Review Exercises | |

| |

| |

Chapter 12 Test | |

| |

| |

| |

Radical Functions | |

| |

| |

| |

Simplifying Radical Expressions | |

| |

| |

| |

Adding, Subtracting, and Multiplying Radical Expressions | |

| |

| |

| |

Rationalizing Denominators and Simplifying Quotients of Radical Expressions | |

| |

| |

| |

Graphing and Combining Square Root Functions | |

| |

| |

| |

Solving Radical Equations | |

| |

| |

| |

Modeling with Square Root Functions | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 13 Review Exercises | |

| |

| |

Chapter 13 Test | |

| |

| |

| |

Sequences and Series | |

| |

| |

| |

Arithmetic Sequences | |

| |

| |

| |

Geometric Sequences | |

| |

| |

| |

Arithmetic Series | |

| |

| |

| |

Geometric Series | |

| |

| |

Taking It to the Lab | |

| |

| |

Chapter Summary | |

| |

| |

Key Points of Chapter | |

| |

| |

Chapter 14 Review Exercises | |

| |

| |

Chapter 14 Test | |

| |

| |

Cumulative Review of Chapters 1 | |

| |

| |

| |

Additional Topics | |

| |

| |

| |

Absolute Value: Equations and Inequalities | |

| |

| |

| |

Performing Operations with Complex Numbers | |

| |

| |

| |

Pythagorean Theorem, Distance Formula, and Circles | |

| |

| |

| |

Ellipses and Hyperbolas | |

| |

| |

| |

Solving Nonlinear Systems of Equations | |

| |

| |

| |

Using a TI-83/84 Graphing Calculator | |