Thinkwell's Intermediate Algebra with Professor Edward Burger sample video "Equations for Consecutive Numbers"

Intermediate Algebra Online Course

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Thinkwell's Intermediate Algebra with Professor Edward Burger

 

Thinkwell's Intermediate Algebra is a developmental course taught in colleges to prepare students for college algebra, precalculus, statistics, and other college-level math courses. The course is an excellent supplement for college students taking an intermediate algebra class.

Students prefer our online video lessons with award-winning professor 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.  No textbook required!

The workbook (optional) comes with lecture notes, sample problems, and exercises so that you can study even when away from the computer.


    Course Features

    Video Lessons

    243 engaging 5-10 minute video lessons
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    Lesson Plan

    Detailed, 36-week lesson plan and schedule
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    Assessments

    Automatically graded exercises and tests with step-by-step feedback
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    Notes & Sample Problems

    Illustrated course notes, sample problems & solutions
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    What Parents Are Saying. . .
    "Professor Burger breathes life and humor into the dreaded, dry subject of math! (It's so fun to hear my daughters actually giggle during their algebra studies.) We have finished both intermediate and college algebra and have been very pleased with the results; the girls understood and retained much more than they did with our Teaching Textbooks experience. We're looking forward to "American Government" this fall.”
    – Janine P
    "I've used the Thinkwell pre-algebra and algebra courses with my two boys. Since then, we've tried public school and a virtual charter school. All three of us are looking forward to going back to Thinkwell math courses once again! My boys like feeling in control of the content; they can skip over material they already know or go back and review. Professor Edward Burger is a fun speaker! It's not dull and dried out. The explanations are clear and the supporting text is well done. I certainly have told others about the courses."
    – Brighid W
    "Because I was able to visually see the concepts demonstrated, I gained a better understanding. The tests and immediate feedback were a definite plus. Immediately after answering I could go back and study the questions missed and retake the test.””
    – Terri J
    Course Overview

    what you get

    • 12-month, online subscription to our complete Intermediate Algebra course
    • 36-week, day-by-day course lesson plan
    • 240+ course lessons, each with a streaming video
    • Automatically graded drill-and-practice exercises with step-by-step answer feedback
    • Sample problems and solutions
    • Chapter & Practice tests, a Midterm & Final Exam
    • Animated interactivities....and more!

    how it works

    • Purchase Thinkwell's Intermediate Algebra through our online store
    • Create an account username and password which will give you access to the online Intermediate Algebra course section
    • Activate your 12-month subscription when you're ready
    • Login to the course website to access the online course materials, including streaming video lessons, exercises, quizzes, tests and more
    • Access your course anytime, anywhere, from any device
    • Your work is automatically tracked and updated in real-time
    • Grade reports and certificates of completion are available at request
    About Thinkwell's Intermediate Algebra Author, Edward Burger

    Learn from award-winning mathematician Dr. Edward Burger

    It's like having a world-class college professor right by your side teaching you Intermediate Algebra.

    • "Global Hero in Education" by Microsoft Corporation
    • "America's Best Math Teacher" by Reader's Digest
    • Robert Foster Cherry Award Winner for Great Teaching
    Thinkwell's Intermediate Algebra Table of Contents
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    1. The Real Numbers

    1.1 Introduction
    1.1.1 An Introduction to Algebra
    1.1.2 The Top Ten List of Mistakes
    1.2 Properties of Real Numbers
    1.2.1 Properties, Identities, & Inverses
    1.3 Inequalities
    1.3.1 Concepts of Inequality
    1.3.2 Inequalities and Interval Notation
    1.4 Absolute Value
    1.4.1 Properties of Absolute Value
    1.4.2 Evaluating Absolute Value Expressions
    1.5 Operations on Real Numbers
    1.5.1 Operations Considering Signs
    1.5.2 Prime and Composite Numbers and Their Roots
    1.5.3 Order of Operations
    1.6 Conditional Statements
    1.6.1 Forms of Conditional Statements
    1.6.2 Inductive Reasoning

    2. Equations and Inequalities

    2.1 Equations in One Variable
    2.1.1 An Introduction to Solving Equations
    2.1.2 Equality or Identity?
    2.1.3 Equivalent Equations and Equations with No Solution
    2.1.4 Solving Linear Equations
    2.2 Applications of Equations Using Formulas
    2.2.1 An Introduction to Solving Word Problems
    2.2.2 Finding Perimeter
    2.2.3 Solving a Linear Geometry Problem
    2.2.4 Solving for Constant Velocity
    2.3 More Applications
    2.3.1 Solving a Business Problem
    2.3.2 Solving a Mixture Problem
    2.3.3 Solving an Investment Problem
    2.3.4 Solving for Consecutive Numbers
    2.3.5 Finding an Average
    2.4 Inequalities in One Variable
    2.4.1 An Introduction to Solving Inequalities
    2.4.2 Solving Inequalities
    2.4.3 Solving Word Problems with Inequalities
    2.5 Compound Inequalities
    2.5.1 Sets, Intersections, and Unions
    2.5.2 Solving Compound Inequalities
    2.5.3 More on Compound Inequalities
    2.6 Absolute Value Equations
    2.6.1 Matching Number Lines with Absolute Value
    2.6.2 Solving Absolute Value Equations
    2.6.3 Solving Equations with Two Absolute Value Expressions
    2.7 Absolute Value Inequalities
    2.7.1 Solving Absolute Value Inequalities
    2.7.2 Solving Absolute Value Inequalities: More Examples

    3. Exponents and Polynomials

    3.1 Understanding Exponents
    3.1.1 An Introduction to Exponents
    3.1.2 Evaluating Exponential Expressions
    3.1.3 Applying the Rules of Exponents
    3.1.4 Evaluating Expressions with Negative Exponents
    3.2 Scientific Notation
    3.2.1 Converting between Decimal and Scientific Notation
    3.3 Polynomial Basics
    3.3.1 Determining Components and Degree
    3.3.2 Adding and Subtracting Polynomials
    3.3.3 Multiplying Polynomials
    3.4 Techniques for Multiplying Polynomials
    3.4.1 The FOIL Method
    3.4.2 Multiplying Big Products
    3.4.3 Using Special Products
    3.5 Techniques for Factoring
    3.5.1 Factoring Using the Greatest Common Factor
    3.5.2 Factoring by Grouping
    3.5.3 Factoring Trinomials Completely
    3.5.4 Factoring Trinomials: The Guess and Check Method
    3.6 Special Factoring
    3.6.1 Factoring Perfect Square Trinomials
    3.6.2 Factoring the Difference of Two Squares
    3.6.3 Factoring Sums and Differences of Cubes
    3.6.4 Factoring by Any Method
    3.7 Solving Equations by Factoring
    3.7.1 The Zero Factor Property
    3.8 Division of Polynomials
    3.8.1 Using Long Division with Polynomials
    3.8.2 Long Division: Another Example
    3.9 Synthetic Division
    3.9.1 Using Synthetic Division with Polynomials
    3.9.2 More Synthetic Division
    3.10 The Remainder Theorem
    3.10.1 Using the Remainder Theorem
    3.10.2 More on the Remainder Theorem

    4. Rational Expressions

    4.1 The Basics of Rational Expressions
    4.1.1 An Introduction to Rational Expressions
    4.1.2 Working with Fractions
    4.1.3 Writing Rational Expressions in Lowest Terms
    4.2 Operations with Rationals
    4.2.1 Multiplying and Dividing Rational Expressions
    4.2.2 Adding and Subtracting Rational Expressions
    4.2.3 Rewriting Complex Fractions
    4.3 Equations with Rationals
    4.3.1 Solving a Linear Equation with Rationals
    4.3.2 Solving a Linear Equation with Restrictions
    4.4 Inequalities with Rationals
    4.4.1 Solving Rational Inequalities
    4.4.2 Solving Rational Inequalities: Another Example
    4.4.3 Determining Domain
    4.5 Applications
    4.5.1 Solving a Problem About Work
    4.5.2 Resistors in Parallel
    4.6 Variation
    4.6.1 An Introduction to Variation
    4.6.2 Direct Proportion
    4.6.3 Inverse Proportion
    4.6.4 Joint and Combined Proportion

    5. Roots and Radicals

    5.1 Rational Exponents and Radicals
    5.1.1 Radical Notation and Properties of Roots
    5.1.2 Variables and Negative Values under a Radical
    5.1.3 Converting Rational Exponents and Radicals
    5.2 Simplifying Radical Expressions
    5.2.1 Simplifying Radicals
    5.2.2 Simplifying Radical Expressions with Variables
    5.3 Operations with Radical Expressions
    5.3.1 Adding and Subtracting Radical Expressions
    5.3.2 Rationalizing Denominators
    5.4 Equations with Radicals
    5.4.1 Solving an Equation Containing a Radical
    5.4.2 Solving Equations with Two Radical Expressions
    5.4.3 Extraneous Roots
    5.4.4 Solving an Equation with Rational Exponents
    5.5 Complex Numbers
    5.5.1 Introducing and Writing Complex Numbers
    5.5.2 Rewriting Powers of i
    5.5.3 Adding and Subtracting Complex Numbers
    5.5.4 Multiplying Complex Numbers
    5.5.5 Dividing Complex Numbers
    5.6 Applications
    5.6.1 Finding the Length of the Diagonal of a Cube
    5.6.2 Finding the Distance and Midpoint between Two Points
    5.6.3 Applications in Meteorology

    6. Relations and Functions

    6.1 The Rectangular Coordinate System
    6.1.1 Using the Cartesian System
    6.1.2 Thinking Visually
    6.2 An Introduction to Functions
    6.2.1 Introducing Relations and Functions
    6.2.2 Functions and the Vertical Line Test
    6.2.3 Function Notation and Values
    6.3 Domain and Range
    6.3.1 Finding Domain and Range
    6.3.2 Domain and Range: An Explicit Example
    6.3.3 Satisfying the Domain of a Function
    6.3.4 Graphing Important Functions
    6.4 The Algebra of Functions
    6.4.1 Operations on Functions
    6.4.2 Composite Functions
    6.4.3 Components of Composite Functions

    7. The Straight Line

    7.1 The Slope of a Line
    7.1.1 An Introduction to Slope
    7.1.2 Finding the Slope Given Two Points
    7.2 Graphing Linear Equations
    7.2.1 Using Intercepts to Graph Lines
    7.2.2 Working with Specific Lines
    7.2.3 Interpreting Slope from a Graph
    7.2.4 Graphing with a Point and the Slope
    7.3 Linear Equations
    7.3.1 Writing an Equation in Slope-Intercept Form
    7.3.2 Writing an Equation Given Two Points
    7.3.3 Writing an Equation in Point-Slope Form
    7.3.4 Matching a Slope-Intercept Equation with its Graph
    7.3.5 Slope for Parallel and Perpendicular Lines
    7.4 Applications of Linear Concepts
    7.4.1 Constructing a Linear Model from a Set of Data
    7.4.2 Scatterplots and Predictions
    7.4.3 Interpreting Line Graphs
    7.4.4 Linear Cost and Revenue

    8. Systems of Equations

    8.1 Linear Systems in Two Variables
    8.1.1 An Introduction to Linear Systems
    8.1.2 Solving a System by Graphing
    8.1.3 Solving a System by Substitution
    8.1.4 Solving a System by Elimination
    8.2 Linear Systems in Three Variables
    8.2.1 An Introduction to Systems in Three Variables
    8.2.2 Solving Systems with Three Variables
    8.2.3 Solving Inconsistent Systems
    8.2.4 Solving Dependent Systems
    8.2.5 Solving Systems with Two Equations
    8.3 Applications of Linear Systems
    8.3.1 Investments
    8.3.2 Partial Fractions
    8.4 Solutions by Matrix Methods
    8.4.1 An Introduction to Matrices
    8.4.2 Using the Gauss-Jordan Method
    8.4.3 Using Gauss-Jordan: Another Example
    8.5 Determinants
    8.5.1 Evaluating 2x2 Determinants
    8.5.2 Evaluating nxn Determinants
    8.6 Cramer's Rule
    8.6.1 Using Cramer's Rule
    8.6.2 Using Cramer's Rule in a 3x3 Matrix
    8.7 Working with Inequalities
    8.7.1 An Introduction to Graphing Linear Inequalities
    8.7.2 Graphing Linear and Nonlinear Inequalities
    8.7.3 Graphing the Solution Set of a System of Inequalities
    8.8 Systems of Nonlinear Equations
    8.8.1 Solving a Nonlinear System by Elimination
    8.8.2 Solving a Nonlinear System by Substitution

    9. Quadratic Equations and Inequalities

    9.1 The Basics of Quadratics
    9.1.1 An Introduction to Quadratics
    9.1.2 Solving Quadratics by Factoring
    9.2 Graphs of Quadratics
    9.2.1 Finding x- and y-Intercepts
    9.2.2 Nice-Looking Parabolas
    9.2.3 Graphing Parabolas
    9.3 Solving by Completing the Square
    9.3.1 Solving by Completing the Square
    9.3.2 Completing the Square: Another Example
    9.3.3 Finding the Vertex by Completing the Square
    9.4 Writing Quadratic Equations
    9.4.1 Using the Vertex to Write the Equation
    9.4.2 Building a Polynomial Equation from Its Solutions
    9.5 Solving with the Quadratic Formula
    9.5.1 Proving the Quadratic Formula
    9.5.2 Using the Quadratic Formula
    9.5.3 Predicting Types of Solution from the Discriminant
    9.5.4 Using the Discriminant to Graph Parabolas
    9.6 Equations Quadratic in Form
    9.6.1 Solving for a Squared Variable
    9.6.2 Finding Real Number Restrictions
    9.6.3 Solving Fancy Quadratics
    9.6.4 Horizontal Parabolas
    9.7 Formulas and Applications
    9.7.1 Solving a Quadratic Geometry Problem
    9.7.2 Solving with the Pythagorean Theorem
    9.7.3 Solving a Motion Problem
    9.7.4 Solving a Projectile Problem
    9.7.5 Solving Other Problems
    9.8 Nonlinear Inequalities
    9.8.1 Solving Quadratic Inequalities
    9.8.2 Solving Quadratic Inequalities: Another Example

    10. Conic Sections

    10.1 Parabolas
    10.1.1 An Introduction to Conic Sections
    10.1.2 An Introduction to Parabolas
    10.2 Equations for Parabolas
    10.2.1 Determining Information about a Parabola from the Equation
    10.2.2 Writing an Equation for a Parabola
    10.3 Graphing Parabolas
    10.3.1 Shifting Curves along Axes
    10.3.2 Shifting or Translating Curves along Axes
    10.3.3 Stretching a Graph
    10.3.4 Graphing Quadratics Using Patterns
    10.4 Applications of Parabolas
    10.4.1 Finding the Maximum or Minimum of a Quadratic
    10.4.2 Maximum Height in the Real World: A Bridge
    10.5 Circles
    10.5.1 The Center-Radius Equation of a Circle
    10.5.2 Finding the Center or Radius of a Circle
    10.5.3 Decoding the Circle Formula
    10.5.4 Solving Circle Problems
    10.6 Ellipses
    10.6.1 An Introduction to Ellipses
    10.6.2 Finding the Equation for an Ellipse
    10.6.3 Applying Ellipses: Satellites
    10.7 Hyperbolas
    10.7.1 An Introduction to Hyperbolas
    10.7.2 Finding the Equation for a Hyperbola
    10.7.3 Applying Hyperbolas: Navigation
    10.8 Identifying Conic Sections
    10.8.1 Identifying a Conic
    10.8.2 Name That Conic
    10.9 Square Root Functions
    10.9.1 Conic Halves

    11. Inverse, Exponential and Logarithmic Functions

    11.1 Inverse Functions
    11.1.1 Understanding Inverse Functions
    11.1.2 The Horizontal Line Test
    11.1.3 Are Two Functions Inverses of Each Other?
    11.1.4 Graphing the Inverse
    11.1.5 Finding the Inverse of a Function
    11.2 Exponential Functions
    11.2.1 An Introduction to Exponential Functions
    11.2.2 Graphing Exponential Functions: Patterns
    11.2.3 Graphing Exponential Functions: More Patterns
    11.2.4 The Number e
    11.3 Using Exponential Functions
    11.3.1 Using Properties of Exponents to Solve Exponential Functions
    11.3.2 Finding Present and Future Value
    11.3.3 Finding an Interest Rate to Match Goals
    11.4 Logarithmic Functions
    11.4.1 An Introduction to Logarithmic Functions
    11.4.2 Converting between Exponential and Logarithmic Functions
    11.4.3 Graphing Logarithmic Functions
    11.4.4 Matching Logarithmic Functions with Their Graphs
    11.5 Properties of Logarithms
    11.5.1 Properties of Logarithms
    11.5.2 Expanding a Logarithmic Expression with Properties
    11.5.3 Combining Logarithmic Expressions
    11.6 Evaluating Logarithms
    11.6.1 Finding the Value of a Logarithmic Function
    11.6.2 Solving for x in Logarithmic Equations
    11.6.3 Using the Logarithmic Change of Base Formula
    11.6.4 Evaluating Logarithmic Functions with a Calculator
    11.7 Exponential and Logarithmic Equations
    11.7.1 Solving Exponential Equations
    11.7.2 Solving Logarithmic Equations
    11.7.3 Solving Equations with Logarithmic Exponents
    11.8 Applications of Exponential and Logarithmic Functions
    11.8.1 Compound Interest
    11.8.2 Predicting Change
    11.9 Exponential Growth and Decay
    11.9.1 An Introduction to Exponential Growth and Decay
    11.9.2 Half Life
    11.9.3 Newton's Law of Cooling
    11.9.4 Continuously Compounded Interest

    12. Further Topics

    12.1 Sequences and Series
    12.1.1 General and Specific Terms
    12.1.2 Understanding Sequence Problems
    12.1.3 Series Notation, Definitions and Evaluating
    12.2 Arithmetic Sequences
    12.2.1 Finding Terms in Arithmetic Sequences
    12.2.2 Finding the Sum of an Arithmetic Sequence
    12.3 Geometric Sequences
    12.3.1 Finding Terms in Geometric Sequences
    12.3.2 Finding the Sum of a Geometric Sequence
    12.4 The Binomial Theorem
    12.4.1 Using the Binomial Theorem
    12.4.2 Binomial Coefficients
    Frequently Asked Questions for Thinkwell's Intermediate Algebra

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    Your student watches a 5-10 minute online video lesson and then completes the automatically graded exercises for the topic. You'll get instant correct-answer feedback. Then move on to the next lesson! The courses are self-paced, or you can use the daily lesson plans. Just like a textbook, you can choose where to start and end, or follow the standard table of contents.

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    A typical sequence of secondary math courses completed by a college-bound student is: Grade 6 Math > Grade 7 Math > Grade 8 Math > Algebra 1 > Geometry > Algebra 2 > Precalculus. For students looking to include Calculus as part of their high school curriculum and are able to complete Grade 7 Math in 6th grade, the sequence can be: Grade 7 Math > Prealgebra > Algebra 1 > Geometry > Algebra 2 > Precalculus > Calculus.

    Is Thinkwell’s Intermediate Algebra a college course?

    Most 2-year colleges and some 4-year colleges teach Intermediate Algebra, but it is considered a developmental math course. Four year colleges will not award credit for a developmental math course; typically College Algebra is the lowest credit math course at a 4 -year college.

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    No, only schools are accredited and Thinkwell is not a school, though many accredited schools use Thinkwell.

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    Since it’s not taught in high school, the state standards don’t apply.

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    Can I see my grade?

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    How are grades calculated?

    The course grade is calculated this way: Chapter Tests 33.3%, Midterm: 33.3%, Final: 33.3%.

    What is acceptable performance on the exams?

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    Yes, there's a final grade report print option in the My Grades section. Contact techsupport@thinkwell.com with any questions.

    What if I change my mind and want to do a different math course, can I change?

    If you discover that you should be in a different course, contact techsupport@thinkwell.com within one week of purchase and we will move you to the appropriate course.

    Can I print the exercises?

    Yes, but completing the exercises online provides immediate correct answer feedback and automatic scoring, so we recommend answering the exercises online.

    Are exercises multiple choice?

    Most of the exercises are multiple choice and they are graded automatically with correct answer solutions.

    Is Thinkwell's Intermediate Algebra Math built on "continuous review?"

    Thinkwell's Intermediate Algebra is carefully constructed to build on previous knowledge, reinforcing key concepts every step of the way. It is not only a reflection of empirically effective instruction, but also reflects Dr Burger’s philosophies learned over a career of teaching mathematics, emphasizing a solid foundation that addresses why students need to learn certain concepts. Finally, Thinkwell Intermediate Algebra is intentionally designed to work for a wide variety of learning styles.

    What is Thinkwell's Refund Policy?

    We offer a full refund of 12-month subscription purchases within 14 days of purchase, no questions asked. For Essential Review courses, the refund period is 3 days. Optional printed materials are printed on demand and the sales are final.

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