Student Solutions Manual for Intermediate Algebra

1. 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
2. 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
3. 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
4. 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
5. 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
6. 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
7. 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
8. 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
9. 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
10. 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
11. 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