Elementary Algebra

Table of Contents

1. Introduction to Modeling
   • 1.1 Variables and Constants
   • 1.2 Scatterplots
   • 1.3 Exact Linear Relationships
   • 1.4 Approximate Linear Relationships
     • Taking It to the Lab: Climate Change Lab • Volume Lab • Linear Graphing Lab: Topic of Your Choice
2. Operations and Expressions
   • 2.1 Expressions
   • 2.2 Operations with Fractions
   • 2.3 Absolute Value and Adding Real Numbers
   • 2.4 Change in a Quantity and Subtracting Real Numbers
   • 2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers
   • 2.6 Exponents and Order of Operations
     • Taking It to the Lab: Climate Change Lab (continued from Chapter 1) • Stocks Lab
3. Using Slope To Graph Linear Equations
   • 3.1 Graphing Equations of the Forms y = mx + b and x = a
   • 3.2 Graphing Linear Models; Unit Analysis
   • 3.3 Slope of a Line
   • 3.4 Using Slope to Graph Linear Equations
   • 3.5 Rate of Change
     • Taking It to the Lab: Climate Change Lab
4. Simplifying Expressions and Solving Equations
   • 4.1 Simplifying Expressions
   • 4.2 Simplifying More Expressions
   • 4.3 Solving Linear Equations in One Variable
   • 4.4 Solving More Linear Equations in One Variable
   • 4.5 Comparing Expressions and Equations
   • 4.6 Formulas
5. Linear Equations in Two Variables and Linear Inequalities in One Variable
   • 5.1 Graphing Linear Equations in Two Variables
   • 5.2 Finding Equations of Lines
   • 5.3 Finding Equations of Linear Models
   • 5.4 Using Equations of Linear Models to Make Estimates and Predictions
   • 5.5 Solving Linear Inequalities in One Variable
     • Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Rope Lab • Shadow Lab • Linear Lab: Topic of Your Choice
6. Systems of Linear Equations and Systems of Linear Inequalities
   • 6.1 Using Graphs and Tables to Solve Systems
   • 6.2 Using Substitution to Solve Systems
   • 6.3 Using Elimination to Solve Systems
   • 6.4 Using Systems to Model Data
   • 6.5 Perimeter, Value, Interest, and Mixture Problems
   • 6.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables
     • Taking It to the Lab: Climate Change Lab (continued from Chapter 5)
7. Polynomials and Properties of Exponents
   • 7.1 Graphing Quadratic Equations
   • 7.2 Quadratic Models
   • 7.3 Adding and Subtracting Polynomials
   • 7.4 Multiplying Polynomials
   • 7.5 Powers of Polynomials; Product of Binomial Conjugates
   • 7.6 Properties of Exponents
   • 7.7 Negative-Integer Exponents
   • 7.8 Dividing Polynomials
     • Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab
8. Factoring Polynomials and Solving Polynomial Equations
   • 8.1 Factoring Trinomials of the Form x² + bx + c and Differences of Two Squares
   • 8.2 Factoring Out the GCF; Factoring by Grouping
   • 8.3 Factoring Trinomials of the Form ax² + bx + c
   • 8.4 Sums and Differences of Cubes; A Factoring Strategy
   • 8.5 Using Factoring to Solve Polynomial Equations
   • 8.6 Using Factoring to Make Predictions with Quadratic Models
9. Solving Quadratic Equations
   • 9.1 Simplifying Radical Expressions
   • 9.2 Simplifying More Radical Expressions
   • 9.3 Solving Quadratic Equations by the Square Root Property; The Pythagorean Theorem
   • 9.4 Solving Quadratic Equations by Completing the Square
   • 9.5 Solving Quadratic Equations by the Quadratic Formula
   • 9.6 More Quadratic Models
     • Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Projectile Lab (continued from Chapter 7)
10. Rational Expressions and Equations
    • 10.1 Simplifying Rational Expressions
    • 10.2 Multiplying and Dividing Rational Expressions; Converting Units
    • 10.3 Adding Rational Expressions
    • 10.4 Subtracting Rational Expressions
    • 10.5 Solving Rational Equations
    • 10.6 Proportions; Similar Triangles
    • 10.7 Variation
    • 10.8 Simplifying Complex Rational Expressions
      • Taking It to the Lab: Climate Change Lab (continued from Chapter 9) • Estimating ? Lab
11. More Radical Expressions and Equations
    • 11.1 Adding and Subtracting Radical Expressions
    • 11.2 Multiplying Radical Expressions
    • 11.3 Solving Square Root Equations

Appendix A: Using A TI-83 or TI-84 Graphing Calculator

Appendix B: Using StatCrunch