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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            Question 1

                                            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. 17
                                            B. 4,250
                                            C. 8,500
                                            D. 2,500


                                            Question 2

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


                                            Question 3

                                            The temperature of an object changes according to the relationship in the graph.

                                            Which equation represents the horizontal asymptote of the function?

                                            A. y=25
                                            B. y=525
                                            C. x=25
                                            D. x=525


                                            Question 4

                                            The graph shows the number of user accounts on a social media website over time.

                                            When did the number of user accounts reach 4,500?

                                            A. After 3.2months
                                            B. After 2.0months
                                            C. After 7.0months
                                            D. After 8.8months


                                            Question 5

                                            The weekly number of players, P, in hundreds, on a gaming website is modeled by the graph. The horizontal axis shows the number of years since the website was launched.

                                            When did the website reach the minimum weekly number of players?

                                            A. Approximately 4 years after the website was launched
                                            B. Approximately 2 years after the website was launched
                                            C. Approximately 11 years after the website was launched
                                            D. Approximately 12 years after the website was launched


                                            Solutions:

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

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