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WGU Applied-Algebra Exam Syllabus Topics:

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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            1. A music student attempted to learn a difficult new song. Each day, the student would play the song and be scored on their performance. The graph shows the results.

                                            What was the average daily change in performance from day 16 to day 20?

                                            A) 43.86
                                            B) 6.88
                                            C) 27.5
                                            D) 1.38


                                            2. 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) At t=1.41
                                            C) The graph is always concave up.
                                            D) The graph is always concave down.


                                            3. The values, in dollars, of two accounts over time are modeled by
                                            A_1 (t)=6,500× # 1.05 # ^t
                                            and
                                            A_2 (t)=3,000× # 0.96 # ^t
                                            The variable tis measured in years.
                                            What is the difference between the accounts after 3 years?

                                            A) The value of Account 1 is about $2,654greater than the value of Account 2.
                                            B) The value of Account 1 is about $4,870less than the value of Account 2.
                                            C) The value of Account 1 is about $4,870greater than the value of Account 2.
                                            D) The value of Account 1 is about $2,654less than the value of Account 2.


                                            4. The logistic function f(x), whose graph is shown, models the number of people who have created a website account, where xrepresents the number of days since the website started and f(x)represents the number of people who have created an account.

                                            What is one range of values for which the graph is concave down?

                                            A) (8#16)
                                            B) (0#12)
                                            C) (0#16)
                                            D) (0#8)


                                            5. The number of employees under supervisor B is 13 more than the number of employees under supervisor A.
                                            Let F(n)represent the number of employees under the two supervisors, where nis the number of employees under supervisor A and Fis the number of employees under supervisor B.
                                            Which is the correct function to represent this relationship?

                                            A) F(n)=13n
                                            B) F(n)=n/13
                                            C) F(n)=n-13
                                            D) F(n)=n+13


                                            Solutions:

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

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