Section outline

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    For most people, the term territorial possession indicates restrictions, usually dealing with trespassing or rite of passage and takes place in some foreign location. What most Americans do not realize is that from September through December, territorial possession dominates our lifestyles while watching the NFL. In this area, territorial possession is governed by the referees who make their decisions based on what the chains reveal. If the ball is at point A (x1, y1) then it is up to the quarterback to decide which route to point B (x2, y2) the end zone, is most feasible.

    Image Caption: A large orange circle with an arrow printed on it facing to the right atop a rectangular base, known as chains in football, is shown prominently in the foreground. In the background there is a game of football ongoing with fans in their seats. (Credit: Jeramey Jannene, Flickr)

    (Content & Image Source: Chapter 2 Introduction, Algebra and Trigonometry, Jay Abramson, OpenStax, CC BY 4.0 License)

    Upon completion of this module, you will be able to:

    Section 2.1 Linear Equations in One Variable
    • Solve equations in one variable.
    • Solve a rational equation.

    Section 2.2 Models and Applications
    • Set up a linear equation to solve a real-world application.
    • Use a formula to solve a real-world application.

    Section 2.3 Complex Numbers
    • Add and subtract complex numbers.
    • Multiply complex numbers.
    • Divide complex numbers.
    • Simplify powers of i

    Section 2.4 Quadratic Equations
    • Solve quadratic equations by factoring.
    • Solve quadratic equations by the square root property.
    • Solve quadratic equations by completing the square.
    • Solve quadratic equations by using the quadratic formula.

    Section 2.5 Other Types of Equations
    • Solve equations involving rational exponents.
    • Solve equations using factoring.
    • Solve radical equations.
    • Solve absolute value equations.
    • Solve other types of equations.

    Section 2.6 Linear Inequalities and Absolute Value Inequalities
    • Write solutions using interval notation.
    • Solve inequalities in one variable algebraically.
    • Solve absolute value inequalities.

    To achieve these objectives:
    1. Read the Module 2 Introduction (see above).
    2. Read Sections 2.1 - 2.6 of Chapter 2: Equations and Inequalities in College Algebra (links to each Section provided below)
      • At the end of each Section there is a list of Key Concepts, Section Exercises, and a Glossary of terms
    3. Complete the MyOpenMath Homework Assignments for each Section (links provided below) - These are graded!
    4. Practice the problems on the Chapter 2 Review Exercises, checking the solutions provided (link provided below)
    5. View the Chapter 2 Practice Test (link provided below)
    6. Complete the MyOpenMath Quiz for Chapter 2 (link provided below) - This is graded!
    7. Once you complete the Quiz, upload your work in the Quiz Work Upload Assignment using the submission link below.
    8. Post in the Chapter 2 Q&A Discussion Forum - link provided below.

    Note the check boxes to the right that help you track your progress: some are automatic, and some are manual.

    Module Pressbooks Resources and Activities

    You will find the following resources and activities in this module at the Pressbooks website. Click on the links below to access or complete each item.

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