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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            Question 1

                                            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. 77.25
                                            B. -23.3
                                            C. 11.04
                                            D. -5.83


                                            Question 2

                                            The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.

                                            Which town's population is growing at a faster rate?

                                            A. Town A, because 1.0 > 0.7
                                            B. Town B, because 1.0 > 0.7
                                            C. Town B, because 6.5 > 5.5
                                            D. Town A, because 6.5 > 5.5


                                            Question 3

                                            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


                                            Question 4

                                            Consider the function
                                            w(t)=0.03t^4-0.81t^3+7.55t^2-26.62t+44
                                            which represents the number of workers, w, at a job site thours after 6:00 a.m.
                                            What is the difference between w(4)and w(8)?

                                            A. Approximately 8 hours
                                            B. Approximately 4 workers
                                            C. Approximately 8 workers
                                            D. Approximately 4 hours


                                            Question 5

                                            As a drone travels away from an operator, the function G(x)=24+47x models the distance, in yards, between the drone and the operator at x minutes. What is the value of G(1.9)?

                                            A. 113.3
                                            B. 1.88
                                            C. 24
                                            D. 47


                                            Solutions:

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

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