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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 π 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

Get Elementary Algebra: Graphs and Authentic Applications, 3rd Edition by Jay Lehmann, College of San Mateo

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