# Algebra 1 Companion

$125.00

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# Algebra 1 Companion

Thinkwell's Algebra Companion 1 has online videos and automatic grading that teach algebra the way today's students want to learn it. For students already taking an Algebra 1 class, whether you need a study aid or algebra homework help, Algebra 1 Companion has everything you need, and because you get a full year of Algebra 1 for one fixed price, instead of by the hour. It's better than a tutor!

Students enjoy our online video lessons with award-winning teacher Edward Burger; he's smart and funny, and his multimedia lessons work with any learning style. His step-by-step lessons focus on examples and real-world applications, which makes learning algebra fun and easy.

For a turnkey homeschool course, see www.thinkwellhomeschool.com.

**Our complete Algebra 1 Companion package includes:**

- 12-month Online Subscription to our complete Algebra 1 course with video lessons, automatically graded exercises, and much more.

### Algebra 1 **Companion **Materials

### Online Subscription, *12-month access*

Access to a complete online package that includes everything you need:

- High-quality video lessons explain all of the Algebra 1 Math concepts
- Automatically graded exercises with immediate feedback allow you to track your progress
- Subscriptions start when you are ready. Buy now and activate your course anytime you like. Wait up to one year to activate your subscription; your 12-month subscription doesn't begin until you say so!

### Algebra 1 **Companion **Details

Thinkwell's Algebra 1 Companion includes all of these features for your student:

- Aligned to Algebra 1 National Math Standards
- More than 95 topics with 250+ engaging video lessons
- 1000+ interactive exercises with immediate feedback allow you to track your progress
- 23 animated interactivities with audio
- Algebra practice tests and final tests for all 12 chapters, as well as a midterm and a final
- Real-world application examples in both lectures and exercises
- Closed captioning for all video lessons (most are also available in Spanish)
- Glossary of more than 200 mathematical terms
- Brand-new content to help students advance their mathematical knowledge:
- Foundations for algebra
- Equations, proportions, and percent
- Inequalities
- Functions
- Linear functions
- Systems of equations and inequalities
- Exponents and polynomials
- Factoring polynomials
- Quadratic functions and equations
- Data analysis and probability
- Exponential and radical functions
- Rational functions and equations

### Table of Contents

#### 1. Foundations for Algebra

- 1.1 The Language of Algebra
- 1.1.1 Variables and Expressions

- 1.1.2 Adding and Subtracting Real Numbers

- 1.1.3 Multiplying and Dividing Real Numbers

- 1.1.4 Powers and Exponents

- 1.1.5 Square Roots and Real Numbers

- 1.2 Tools of Algebra
- 1.2.1 Set Theory

- 1.2.2 Order of Operations

- 1.2.3 Simplifying Expressions

- 1.2.4 Introduction to Functions

#### 2. Equations, Proportions, and Percent

- 2.1 Solving Equations
- 2.1.1 Addition and Subtraction Equations

- 2.1.2 Multiplication and Division Equations

- 2.1.3 Solving Two-Step Equations

- 2.1.4 Solving Multi-Step Equations

- 2.1.5 Solving Equations with Variables on Both Sides

- 2.1.6 Solving Literal Equations

- 2.1.7 Solving Absolute-Value Equations

- 2.2 Proportion and Percent
- 2.2.1 Rates, Ratios, and Proportions

- 2.2.2 Applications of Proportion

- 2.2.3 Percents

- 2.2.4 Applications of Percent

- 2.2.5 Percent Increase and Decrease

#### 3. Inequalities

- 3.1 Introduction to Inequalities
- 3.1.1 Graphing and Writing Inequalities

- 3.1.2 Solving Inequalities by Adding or Subtracting

- 3.1.3 Solving Inequalities by Multiplying or Dividing

- 3.2 Multi-Step and Compound Inequalities
- 3.2.1 Solving Two-Step and Multi-Step Inequalities

- 3.2.2 Solving Inequalities with Variables on Both Sides

- 3.2.3 Solving Compound Inequalities

- 3.2.4 Solving Absolute-Value Inequalities

#### 4. Functions

- 4.1 Introduction to Functions
- 4.1.1 Graphing Relationships

- 4.1.2 Relations and Functions

- 4.1.3 Writing Function Rules

- 4.2 Applying Functions
- 4.2.1 Graphing Functions

- 4.2.2 Scatter Plots and Trend Lines

- 4.2.3 Arithmetic Sequences

#### 5. Linear Functions

- 5.1 Characteristics of Linear Functions
- 5.1.1 Identifying Linear Functions

- 5.1.2 Using Intercepts

- 5.1.3 Rate of Change and Slope

- 5.1.4 The Slope Formula

- 5.1.5 The Midpoint and Distance Formulas

- 5.1.6 Direct Variation

- 5.2 Using Linear Functions
- 5.2.1 Slope-Intercept Form

- 5.2.2 Point-Slope Form

- 5.2.3 Slopes of Parallel and Perpendicular Lines

- 5.2.4 Transforming Linear Functions

#### 6. Systems of Equations and Inequalities

- 6.1 Systems of Linear Equations
- 6.1.1 Solving Systems by Graphing

- 6.1.2 Solving Systems by Substitution

- 6.1.3 Solving Systems by Elimination

- 6.1.4 Solving Special Systems

- 6.1.5 Applying Systems

- 6.2 Linear Inequalities
- 6.2.1 Graphing Linear Inequalities

- 6.2.2 Solving Systems of Linear Inequalities

#### 7. Exponents and Polynomials

- 7.1 Exponents
- 7.1.1 Product and Power Properties of Exponents

- 7.1.2 Integer Exponents

- 7.1.3 Quotient Properties of Exponents

- 7.1.4 An Application of Exponents: Scientific Notation

- 7.1.5 Fractional Exponents

- 7.2 Polynomials
- 7.2.1 Polynomials

- 7.2.2 Adding and Subtracting Polynomials

- 7.2.3 Multiplying Polynomials by Monomials

- 7.2.4 Multiplying Binomials

#### 8. Factoring Polynomials

- 8.1 Factoring Methods
- 8.1.1 Factors and Greatest Common Factors

- 8.1.2 Factoring by GCF

- 8.1.3 Factoring
*x*^{2}+*bx*+*c*

- 8.1.4 Factoring
*ax*^{2}+*bx*+*c*

- 8.2 Applying Factoring Methods
- 8.2.1 Factoring Special Products

- 8.2.2 Choosing a Factoring Method

#### 9. Quadratic Functions and Equations

- 9.1 Quadratic Functions
- 9.1.1 Identifying Quadratic Functions

- 9.1.2 Characteristics of Quadratic Functions

- 9.1.3 Graphing Quadratic Functions

- 9.1.4 Transforming Quadratic Functions

- 9.2 Solving Quadratic Equations
- 9.2.1 Solving Quadratic Equations by Graphing

- 9.2.2 Solving Quadratic Equations by Factoring

- 9.2.3 Solving Quadratic Equations by Using Square Roots

- 9.2.4 Completing the Square

- 9.2.5 The Quadratic Formula

- 9.2.6 The Discriminant

#### 10. Data Analysis and Probability

- 10.1 Probability
- 10.1.1 Experimental Probability

- 10.1.2 Theoretical Probability

- 10.1.3 Independent and Dependent Events

- 10.1.4 Combinations and Permutations

- 10.2 Data Analysis
- 10.2.1 Bar, Circle, and Line Graphs

- 10.2.2 Stem-and-Leaf Plots and Histograms

- 10.2.3 Mean, Median, Mode, and Range

- 10.2.4 Box-and-Whisker Plots

- 10.2.5 Expected Value

- 10.2.6 Normal Distribution

- 10.2.7 Misleading Graphs and Statistics

#### 11. Exponential and Radical Functions

- 11.1 Exponential Functions
- 11.1.1 Geometric Sequences

- 11.1.2 Exponential Functions

- 11.1.3 Exponential Growth and Decay

- 11.1.4 Linear, Quadratic, and Exponential Models

- 11.2 Radical Functions, Expressions, and Equations
- 11.2.1 Square-Root Functions

- 11.2.2 Radical Expressions

- 11.2.3 Adding and Subtracting Radical Expressions

- 11.2.4 Multiplying and Dividing Radical Expressions

- 11.2.5 Solving Radical Equations

#### 12. Rational Functions and Equations

- 12.1 Rational Functions and Expressions
- 12.1.1 Inverse Variation

- 12.1.2 Rational Functions

- 12.1.3 Simplifying Rational Expressions

- 12.2 Operations with Rational Expressions
- 12.2.1 Multiplying and Dividing Rational Expressions

- 12.2.2 Adding and Subtracting Rational Expressions

- 12.2.3 Dividing Polynomials

- 12.2.4 Solving Rational Equations

### About the Author

**Edward Burger**

Edward Burger is an award-winning professor with a passion for teaching mathematics.

Since 2013, Edward Burger has been President of Southwestern University, a top-ranked liberal arts college in Georgetown, Texas. Previously, he was Professor of Mathematics at Williams College. Dr. Burger earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College.

Prof. Burger's unique sense of humor and his teaching expertise combine to make him the ideal presenter of Thinkwell's entertaining and informative video lectures.