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WGU Applied-Algebra Exam Syllabus Topics:

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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            1. The population of fish in a lake is changing according to the function
                                            P(t)=24t+185
                                            where tis the number of months since the beginning of the year and P(t)is the fish population at time t.
                                            Which interpretation of the rate of change is correct?

                                            A) The number of fish in the lake is decreasing at a constant rate of 24 fish per month.
                                            B) The number of fish in the lake is increasing at a constant rate of 24 fish per month.
                                            C) The number of fish in the lake is increasing at a constant rate of 185 fish per month.
                                            D) The number of fish in the lake is decreasing at a constant rate of 185 fish per month.


                                            2. The number of people, P, in a festival audience is represented by the graph, with the number of hours since the beginning of the festival along the horizontal axis and the size of the audience along the vertical axis.

                                            Point Arepresents an audience size of 402 for the first hour of the festival, or P(0)=402.
                                            Which ordered pair represents a point on the graph?

                                            A) (10#407)
                                            B) (2#401)
                                            C) (4#404)
                                            D) (8#409)


                                            3. The graph shows the number of customers, C(t), showing up to a store, where the number of hours since opening is along the horizontal axis and the number of customers showing up to the store each hour is along the vertical axis.

                                            How can the concavity be described from t=6.2to t=10.1?

                                            A) The number of customers decreases slower and slower and then increases faster and faster.
                                            B) The number of customers increases slower and slower and then increases faster and faster.
                                            C) The number of customers increases faster and faster and then increases slower and slower.
                                            D) The number of customers increases slower and slower and then decreases faster and faster.


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


                                            5. The number of members of a religious organization can be modeled using the logistic function f(x), where xrepresents the number of years since the organization was started and f(x)represents the number of members.
                                            The graph of f(x)is shown.

                                            What is one range of values for which the graph is concave down?

                                            A) (0#6)
                                            B) (0#11)
                                            C) (0#8)
                                            D) (6#11)


                                            Solutions:

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

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