Learn with WGU : Applied-Algebra training material for 100% pass

Last Updated: Aug 07, 2026

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WGU Applied-Algebra Exam Syllabus Topics:

SectionObjectives
Functions and Graphs- Function Concepts
  • 1. Domain and range
    • 2. Function notation
      - Graphing Functions
      • 1. Coordinate plane interpretation
        • 2. Transformations of graphs
          Polynomial and Rational Expressions- Rational Expressions
          • 1. Restrictions on variables
            • 2. Simplification
              - Polynomials
              • 1. Factoring techniques
                • 2. Operations with polynomials
                  Linear Functions and Systems- Linear Equations
                  • 1. Slope-intercept form
                    • 2. Point-slope form
                      - Systems of Equations
                      • 1. Substitution method
                        • 2. Elimination method
                          Foundations of Algebra- Equations and Inequalities
                          • 1. Inequalities and interval notation
                            • 2. Linear equations in one variable
                              - Algebraic Expressions
                              • 1. Simplifying expressions
                                • 2. Evaluating expressions
                                  • 3. Order of operations
                                    Exponential and Logarithmic Concepts- Exponential Functions
                                    • 1. Exponential equations
                                      • 2. Growth and decay models
                                        - Logarithmic Basics
                                        • 1. Logarithm properties
                                          • 2. Conversion between exponential and logarithmic form

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            1. The growth of an animal population is shown in the graph. The instantaneous rate of change at point Pis 3.74.

                                            Which interpretation of the instantaneous rate of change is correct?

                                            A) In 2012, the population was increasing by 3.74 animals per year.
                                            B) In 2012, the population was increasing by 3,740 animals per year.
                                            C) In 2007, the population was increasing by 3.74 animals per year.
                                            D) In 2007, the population was increasing by 3,740 animals per year.


                                            2. The number of wild horses in a federal park is represented by the logistic function f(x), whose graph is shown, where xrepresents the number of years since the park was established and f(x)represents the wild horse population in a given year.

                                            How does the number of wild horses change as time progresses from year 1 to year 9?

                                            A) The number of wild horses decreases faster and faster.
                                            B) The number of wild horses increases slower and slower.
                                            C) The number of wild horses decreases slower and slower.
                                            D) The number of wild horses increases faster and faster.


                                            3. The graph shows the number of books, N, checked out from a library each week. The number of weeks since the beginning of the year is on the horizontal axis, and the number of books checked out per week is on the vertical axis. Point A represents 165 books checked out in the first week, or N(0)=165. Which statement represents an accurate conclusion?
                                            Exhibit:

                                            A) Point C represents N(5.6)=152.5.
                                            B) Point B represents N(2.8)=177.
                                            C) Point E represents N(11.2)=147.5.
                                            D) Point D represents N(8.4)=142.5.


                                            4. Which statement correctly interprets u(8), given that u(t)=0.21t
                                            3
                                            #4.09t
                                            2
                                            +18.89t+69.5 represents the number of units, u, in an inventory warehouse t hours after 9:00 a.m.?

                                            A) There are approximately 160 units in the inventory at 10:00 a.m.
                                            B) There are approximately 66 units in the inventory at 10:00 a.m.
                                            C) There are approximately 160 units in the inventory at 5:00 p.m.
                                            D) There are approximately 66 units in the inventory at 5:00 p.m.


                                            5. A small business is tracking the number of client accounts it manages over time. The graph shows the relationship between time and the number of client accounts the small business manages.

                                            What is the equation of the horizontal asymptote?

                                            A) y=125
                                            B) x=550
                                            C) y=550
                                            D) x=125


                                            Solutions:

                                            Question # 1
                                            Answer: D
                                            Question # 2
                                            Answer: D
                                            Question # 3
                                            Answer: B
                                            Question # 4
                                            Answer: D
                                            Question # 5
                                            Answer: A

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