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Contents
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
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
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
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
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
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)
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
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
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)
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 π Lab
More Radical Expressions and Equations
11.1 Adding and Subtracting Radical Expressions
11.2 Multiplying Radical Expressions
11.3 Solving Square Root Equations
APPENDICES
A. Using A TI-83 or TI-84 Graphing Calculator
B. Using StatCrunch
