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WGU Applied-Algebra Exam Syllabus Topics:

SectionObjectives
Topic 1: Polynomial and Rational Expressions- Rational Expressions
  • 1. Restrictions on variables
    • 2. Simplification
      - Polynomials
      • 1. Factoring techniques
        • 2. Operations with polynomials
          Topic 2: Foundations of Algebra- Equations and Inequalities
          • 1. Linear equations in one variable
            • 2. Inequalities and interval notation
              - Algebraic Expressions
              • 1. Evaluating expressions
                • 2. Simplifying expressions
                  • 3. Order of operations
                    Topic 3: Functions and Graphs- Graphing Functions
                    • 1. Coordinate plane interpretation
                      • 2. Transformations of graphs
                        - Function Concepts
                        • 1. Function notation
                          • 2. Domain and range
                            Topic 4: Exponential and Logarithmic Concepts- Logarithmic Basics
                            • 1. Logarithm properties
                              • 2. Conversion between exponential and logarithmic form
                                - Exponential Functions
                                • 1. Exponential equations
                                  • 2. Growth and decay models
                                    Topic 5: Linear Functions and Systems- Systems of Equations
                                    • 1. Elimination method
                                      • 2. Substitution method
                                        - Linear Equations
                                        • 1. Point-slope form
                                          • 2. Slope-intercept form

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            1. 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 7.0months
                                            C) After 2.0months
                                            D) After 8.8months


                                            2. A researcher collected data on the number of books donated per month to a thrift store over time. The results are shown in the scatterplot. A regression function is graphed with r
                                            2
                                            =0.99.

                                            Which range of x-values is appropriate for extrapolation?

                                            A) Extrapolation is not appropriate because r
                                            2
                                            > 0.7.
                                            B) x=0 to x=20
                                            C) x=2.5 to x=17.5
                                            D) Extrapolation is not appropriate because r
                                            2
                                            < 1.


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

                                            What is the equation of the horizontal asymptote?

                                            A) x=0
                                            B) x=500
                                            C) y=0
                                            D) y=500


                                            4. Based on collected data, the number of registered voters in a district can be modeled using the function f(x)=1,300× # 0.92 # ^x whose graph is shown, where xrepresents the number of years since 2001 and f(x)represents the number of registered voters.

                                            Which time period has the fastest average decrease in the number of registered voters?

                                            A) 2008 to 2021
                                            B) 2001 to 2007
                                            C) 2009 to 2012
                                            D) 2007 to 2008


                                            5. A contractor charges a flat rate plus a fixed rate per hour to come and make repairs. For a job that takes 3 hours, the contractor charges $220. For a job that takes 5 hours, the contractor charges $340.
                                            Which function correctly represents the total charge Cfor a job that takes thours?

                                            A) C(t)=60t+40
                                            B) C(t)=40t+60
                                            C) C(t)=60t
                                            D) C(t)=40t


                                            Solutions:

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

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