Section outline

  • An aerial view of more than twenty circular crop fields of different sizes.

    Irrigation is a critical aspect of agriculture, which can expand the yield of farms and enable farming in areas not naturally viable for crops. But the materials, equipment, and the water itself are expensive and complex. To be efficient and productive, farm owners and irrigation specialists must carefully lay out the network of pipes, pumps, and related equipment. The available land can be divided into regular portions (similar to a grid), and the different sizes of irrigation systems and conduits can be installed within the plotted area.


    Image Caption: From the air, a landscape of circular crop fields may seem random, but they are laid out and irrigated very precisely. Farmers and irrigation providers combining agricultural science, engineering, and mathematics to achieve the most productive and efficient array. (Credit: Modification of "Aerial Phot of Center Pivot Irrigations Systems (1)" by Soil Science/flickr)

    (Content & Image Source: Chapter 2 Introduction, College Algebra with Corequisite Support 2e, Jay Abramson & Sharon North, OpenStax, CC BY 4.0 License)

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

    Section 2.R Factoring Review     (For use with co-requisite support)
    • Factor the greatest common factor of a polynomial.
    • Factor a trinomial. (CLO6)
    • Factor by grouping.
    • Factor a perfect square trinomial. (CLO6)
    • Factor a difference of squares.
    • Factor the sum and difference of cubes.
    • Factor expressions using fractional or negative exponents.

    Section 2.1 Linear Equations in One Variable
    • Solve equations in one variable. (CLO3)
    • Solve a rational equation. (CLO3)

    Section 2.2 Models and Applications
    • Approach word problems with a positive attitude (CLO3)
    • Use a problem solving strategy for word problems (CLO3)
    • Set up a linear equation to solve a real-world application. (CLO3)
    • Use a formula to solve a real-world application. (CLO2, CLO3, CLO6)
    • Solve number problems (CLO2, CLO3)

    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. (CLO3, CLO6)
    • Solve quadratic equations by the square root property. (CLO3, CLO6)
    • Solve quadratic equations by completing the square. (CLO3, CLO6)
    • Solve quadratic equations by using the quadratic formula. (CLO3, CLO6)

    Section 2.5 Other Types of Equations
    • Solve equations involving rational exponents. (CLO3)
    • Solve equations using factoring. (CLO3)
    • Solve radical equations. (CLO3)
    • Solve absolute value equations. (CLO3)
    • Solve other types of equations. (CLO3)

    Section 2.6 Linear Inequalities and Absolute Value Inequalities
    • Write solutions using interval notation.
    • Solve inequalities in one variable algebraically. (CLO3)
    • Solve absolute value inequalities. (CLO3)

    Section 2.7 Linear Applications
    • Solve coin word problems. (CLO3, CLO6)
    • Solve ticket and stamp word problems. (CLO3, CLO6)
    • Solve a formula for a specific variable (CLO3, CLO6)

    (Note: Alignment of MLOs might be needed if this course is taught as a co-requisite.)

    To achieve these objectives:
    1. Read the Module 3 Introduction (see above).
    2. Read Sections 2.R - 2.7 of Chapter 2: Equations and Inequalities in Applied 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. Complete the MyOpenMath Quiz for Chapter 2 (link provided below) - This is graded!
    5. Once you complete the Quiz, upload your work in the Quiz for Chapter 2 Work Upload Assignment using the submission link below.
    6. Post in the Chapter 2 Q&A Discussion Forum - link provided below.
    7. Complete the Digital Skills - Using the online graphing calculator (Chapter 2) (link provided below) - This is graded!
    8. Complete the Digital Skills - Using AI for math help (Chapter 2) (link provided below) - This is graded!
    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.

    For select assessments in this course, students will be allowed to use the following links to online graphing calculators:

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