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WGU Applied-Algebra Exam Syllabus Topics:

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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            Question 1

                                            The graph shows the number of customers visiting a bookstore, where the number of days since the beginning of the month is along the horizontal axis and the number of customers visiting the bookstore each day is along the vertical axis. More customers show up to the store on days when new releases are featured than on other days.

                                            Which days likely featured new releases?

                                            A. New releases were likely featured on only day 8.
                                            B. New releases were likely featured on days 8 and 11.
                                            C. New releases were likely featured on days 5 and 10.
                                            D. New releases were likely featured on only day 5.


                                            Question 2

                                            The number of property sales in a region this year is expected to be 6 less than the number of property sales in the region last year. The function H(x)represents the number of property sales this year, where xrepresents 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 330?

                                            A. H(336)=330
                                            B. H(330)=336
                                            C. H(330)=324
                                            D. H(324)=330


                                            Question 3

                                            Consider the graph of h(t) shown. The function represents the height, h, in feet, of a ball t seconds after being launched.

                                            What is the point, if any, at which the concavity changes from concave down to concave up?

                                            A. At t=0.705
                                            B. The graph is always concave up.
                                            C. At t=1.41
                                            D. The graph is always concave down.


                                            Question 4

                                            The scatterplot shows data on the number of shirts sold at a gift shop per week over time. The graphed regression function has an r
                                            2
                                            value of 0.09.

                                            Which range of x-values is appropriate for extrapolation?

                                            A. x=0 to x=18
                                            B. Extrapolation is not appropriate because r
                                            2
                                            < 0.7.
                                            C. x=#3 to x=21
                                            D. Extrapolation is not appropriate because r
                                            2
                                            < 0.3.


                                            Question 5

                                            The logistic function f(x), whose graph is shown, models the number of registrants for an academic conference, where xrepresents the number of weeks since registration opened and f(x)represents the number of registrants.

                                            How does the number of registrants change as time progresses from week 1 to week 7?

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


                                            Solutions:

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

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