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WGU Applied-Algebra Exam Syllabus Topics:

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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            1. The number of acres affected by an invasive species can be modeled using the logistic function f(x), where xrepresents the number of months since the species was introduced and f(x)represents the number of affected acres. The graph of f(x)is shown.

                                            What happens as time progresses from month 2 to month 6?

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


                                            2. Which statement correctly interprets u(8), given that u(t)=0.21t
                                            3
                                            #4.09t
                                            2
                                            +18.89t+69.5 represents the number of units, u, in an inventory warehouse t hours after 9:00 a.m.?

                                            A) There are approximately 160 units in the inventory at 10:00 a.m.
                                            B) There are approximately 66 units in the inventory at 5:00 p.m.
                                            C) There are approximately 66 units in the inventory at 10:00 a.m.
                                            D) There are approximately 160 units in the inventory at 5:00 p.m.


                                            3. The graph shows the estimated wait time, in minutes, based on the number of hours after 7:00 a.m.

                                            What is the average rate of change of the wait time from point Ato point B?

                                            A) 11.04
                                            B) -5.83
                                            C) -23.3
                                            D) 77.25


                                            4. 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


                                            5. 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 not decrease to 0 vehicles per hour.
                                            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 change by a constant rate over time.


                                            Solutions:

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

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