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WGU Applied-Algebra Exam Syllabus Topics:

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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            1. The graph shows the number of people waiting in a virtual queue to buy tickets for an event.
                                            What does the horizontal asymptote mean?

                                            A) Over time, the number of people in the queue will increase back up to 750.
                                            B) Eventually, the number of people in the queue will decrease to 0.
                                            C) The number of people in the queue was initially 750.
                                            D) As time passes, the number of people in the queue approaches 100.


                                            2. 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 80%of the population before virus A does.
                                            B) Virus B affects 20%of the population before virus A does.
                                            C) Virus B affects 60%of the population before virus A does.
                                            D) Virus B affects 70%of the population before virus A does.


                                            3. The population of fish in a lake is changing according to the function P(t)=31t+438, where t is the number of months since the beginning of the year and P(t) is the fish population at time t. Which interpretation of the rate of change is correct?

                                            A) The number of fish in the lake is decreasing at a constant rate of 438 fish per month.
                                            B) The number of fish in the lake is increasing at a constant rate of 31 fish per month.
                                            C) The number of fish in the lake is increasing at a constant rate of 438 fish per month.
                                            D) The number of fish in the lake is decreasing at a constant rate of 31 fish per month.


                                            4. The graphed function v(t) represents the number of vehicles, v, stopped at a toll booth t hours after 6:00 a.m.
                                            The coordinates of points A and B are (1,49.4) and (4,45.8), respectively.

                                            What is the average rate of change of the number of vehicles from point A to point B?

                                            A) 19.04
                                            B) -3.6
                                            C) 47.6
                                            D) -1.2


                                            5. The function P(t)represents the daily profit, in hundreds of dollars, for a museum since opening. The graph of P(t)is shown.

                                            What is the correct interpretation of the maximum value?

                                            A) Approximately 20 years after opening, a maximum daily profit of approximately $1,650was earned.
                                            B) Approximately 9.5 years after opening, a maximum daily profit of approximately $299was earned.
                                            C) Approximately 9.5 years after opening, a maximum daily profit of approximately $1,650was earned.
                                            D) Approximately 20 years after opening, a maximum daily profit of approximately $299was earned.


                                            Solutions:

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

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