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Contents
Linear Equations and Linear Functions
1.1 Using Qualitative Graphs to Describe Situations
1.2 Graphing Linear Equations
1.3 Slope of a Line
1.4 Meaning of Slope for Equations, Graphs, and Tables
1.5 Finding Linear Equations
1.6 Functions
Modeling With Linear Functions
2.1 Using Lines to Model Data
2.2 Finding Equations of Linear Models
2.3 Function Notation and Making Predictions
2.4 Slope Is a Rate of Change
Taking It to the Lab: Climate Change Lab • Used-Car Lab • Golf Ball Lab • Walking Student Lab • Linear Lab: Topic of Your Choice
Systems of Linear Equations and Systems of Linear Inequalities
3.1 Using Graphs and Tables to Solve Systems
3.2 Using Substitution and Elimination to Solve Systems
3.3 Using Systems to Model Data
3.4 Value, Interest, and Mixture Problems
3.5 Using Linear Inequalities in One Variable to Make Predictions
3.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities
Taking It to the Lab: Climate Change Lab (continued from Chapter 2) • Sports Lab • Truck Lab
Exponential Functions
4.1 Properties of Exponents
4.2 Rational Exponents
4.3 Graphing Exponential Functions
4.4 Finding Equations of Exponential Functions
4.5 Using Exponential Functions to Model Data
Taking It to the Lab: Stringed Instrument Lab • Cooling Water Lab • Exponential Lab: Topic of Your Choice
Logarithmic Functions
5.1 Composite Functions
5.2 Inverse Functions
5.3 Logarithmic Functions
5.4 Properties of Logarithms
5.5 Using the Power Property with Exponential Models to Make Predictions
5.6 More Properties of Logarithms
5.7 Natural Logarithm
Taking It to the Lab: China and India Populations Lab • Folding Paper Lab • Exponential/Logarithmic Lab: Topic of Your Choice
Polynomial Functions
6.1 Adding and Subtracting Polynomial Expressions and Functions
6.2 Multiplying Polynomial Expressions and Functions
6.3 Dividing Polynomials: Long Division and Synthetic Division
6.4 Factoring Trinomials of the Form x2 + bx + c; Factoring Out the GCF
6.5 Factoring Polynomials
6.6 Factoring Special Binomials; A Factoring Strategy
6.7 Using Factoring to Solve Polynomial Equations
Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Projectile Lab
Quadratic Functions
7.1 Graphing Quadratic Functions in Vertex Form
7.2 Graphing Quadratic Functions in Standard Form
7.3 Using the Square Root Property to Solve Quadratic Equations
7.4 Solving Quadratic Equations by Completing the Square
7.5 Using the Quadratic Formula to Solve Quadratic Equations
7.6 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions
7.7 Finding Quadratic Models
7.8 Modeling with Quadratic Functions
Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab (continued from Chapter 6) • Projectile Lab (Using a CBR or CBL) • Water Flow Lab • Quadratic Lab: Topic of Your Choice
Rational Functions
8.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions
8.2 Multiplying and Dividing Rational Expressions; Converting Units
8.3 Adding and Subtracting Rational Expressions
8.4 Simplifying Complex Rational Expressions
8.5 Solving Rational Equations
8.6 Modeling with Rational Functions
8.7 Variation
Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Illumination Lab • Boyle's Law Lab
Radical Functions
9.1 Simplifying Radical Expressions
9.2 Adding, Subtracting, and Multiplying Radical Expressions
9.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions
9.4 Graphing and Combining Square Root Functions
9.5 Solving Radical Equations
9.6 Modeling with Square Root Functions
Taking It to the Lab: Pendulum Lab
Sequences and Series
10.1 Arithmetic Sequences
10.2 Geometric Sequences
10.3 Arithmetic Series
10.4 Geometric Series
Taking It to the Lab: Bouncing Ball Lab • Stacked Cups Lab
Additional Topics
11.1 Absolute Value: Equations and Inequalities
11.2 Performing Operations with Complex Numbers
11.3 Pythagorean Theorem, Distance Formula, and Circles
11.4 Ellipses and Hyperbolas
11.5 Solving Nonlinear Systems of Equations
APPENDICES
A. Reviewing the Prerequisite Material
B. Using a TI-83 or TI- 84 Graphing Calculator
C. Using StatCrunch
