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WGU Applied-Algebra Exam Syllabus Topics:

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

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                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q34-Q39):

                                            NEW QUESTION # 34
                                            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?

                                            Answer: D

                                            Explanation:
                                            The graph represents the height of a launched ball over time. Such height functions are typically quadratic because gravity causes the ball to rise, slow down, reach a maximum height, and then fall. The graph shown is a downward-opening parabola. A downward-opening parabola is concave down for its entire domain.
                                            Concavity changes only if the curve switches from bending downward to bending upward, or from bending upward to bending downward. Since this graph bends downward the entire time, there is no point where the concavity changes from concave down to concave up. The vertex is a maximum point, but it is not a change in concavity. Therefore, the correct statement is that the graph is always concave down.


                                            NEW QUESTION # 35
                                            An exponential growth function can be used to model the number of bacteria in a population. The function G(t)=1,600× # 1.31 #