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WGU Applied-Algebra Exam Syllabus Topics:

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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            1. The function P(t)represents the yearly profit, in millions of dollars, for a streaming service since opening. The graph of P(t)is shown.

                                            What is the correct interpretation of the maximum value?

                                            A) Approximately 22 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
                                            B) Approximately 10.5 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
                                            C) Approximately 10.5 years after opening, a maximum yearly profit of approximately $235,000was earned.
                                            D) Approximately 22 years after opening, a maximum yearly profit of approximately $235,000was earned.


                                            2. A researcher collected data on the traffic frequency on a section of road. The results are shown in the scatterplot. A regression function is graphed with r^2=0.96. The predicted traffic frequency 16.2 hours after dawn is 70 cars per minute.

                                            Is this prediction appropriate?

                                            A) Yes. The r^2value indicates a strong fit, and x=16.2is within 50%of the range of the maximum value.
                                            B) No. The r^2value indicates a strong fit, but x=16.2is more than 50%of the range beyond the maximum value.
                                            C) Yes. The r^2value indicates a moderate fit, and x=16.2is within 25%of the range of the maximum value.
                                            D) No. The r^2value indicates a moderate fit, but x=16.2is more than 25%of the range beyond the maximum value.


                                            3. The exponential function
                                            f(x)=280× # 1.08 # ^x
                                            represents the number of subscribers to a blog, where xrepresents the number of years since 2003 and f(x) represents the number of subscribers.
                                            Which statement correctly interprets the average rate of change of the number of subscribers from 2003 to
                                            2007? Round to the nearest whole number, if necessary.

                                            A) The number of subscribers increases at an average rate of 330 subscribers per year.
                                            B) The number of subscribers decreases at an average rate of 330 subscribers per year.
                                            C) The number of subscribers increases at an average rate of 25 subscribers per year.
                                            D) The number of subscribers decreases at an average rate of 25 subscribers per year.


                                            4. The function P(t)represents the daily profit, in hundreds of dollars, for a hardware store since opening. The graph of P(t)is shown.

                                            How should the maximum value be interpreted?

                                            A) Approximately 21 years after opening, a maximum daily profit of approximately $2,900was earned.
                                            B) Approximately 9 years after opening, a maximum daily profit of approximately $1,270was earned.
                                            C) Approximately 21 years after opening, a maximum daily profit of approximately $1,270was earned.
                                            D) Approximately 9 years after opening, a maximum daily profit of approximately $2,900was earned.


                                            5. The number of letters processed daily at a mail center is modeled by the decreasing exponential function shown in the graph.

                                            Which value is the number of letters processed per day trending toward as time progresses, based on the equation of the horizontal asymptote?

                                            A) 4,250
                                            B) 17
                                            C) 8,500
                                            D) 2,500


                                            Solutions:

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

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