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WGU Applied-Algebra Exam Syllabus Topics:

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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            1. The traffic flow on a roadway after 8:00 a.m. is modeled by the graphed exponential function.

                                            Which conclusion is valid, based on the horizontal asymptote?

                                            A) The traffic flow will change by a constant rate over time.
                                            B) The rate of traffic flow changes by a constant rate over time.
                                            C) The traffic flow changes the most after the first 4 hours.
                                            D) The traffic flow will not decrease to 0 vehicles per hour.


                                            2. 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#8)
                                            C) (6#11)
                                            D) (0#11)


                                            3. The spread of two viruses within a single population is modeled using the functions in the graph.

                                            What is a correct conclusion based on the graph?

                                            A) Virus B affects 60%of the population before virus A does.
                                            B) Virus B affects 20%of the population before virus A does.
                                            C) Virus B affects 70%of the population before virus A does.
                                            D) Virus B affects 80%of the population before virus A does.


                                            4. The number of comments on a social media post is represented by the logistic function f(x), whose graph is shown, where xrepresents the number of days since the post was created and f(x)represents the number of comments on day x.

                                            How does the number of comments change as time progresses from day 1 to day 17?

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


                                            5. The number of property sales in a region this year is expected to be 9 more than the number of property sales in the region last year. The function H(x) represents the number of property sales this year, where x represents the number of properties sold last year.
                                            Which notation represents the number of property sales this year, given that the number of properties sold last year was 140?

                                            A) H(140)=149
                                            B) H(149)=140
                                            C) H(131)=140
                                            D) H(140)=131


                                            Solutions:

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

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