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WGU Applied-Algebra Exam Syllabus Topics:

SectionObjectives
Topic 1: Functions and Graphs- Graphing Functions
  • 1. Transformations of graphs
    • 2. Coordinate plane interpretation
      - Function Concepts
      • 1. Function notation
        • 2. Domain and range
          Topic 2: Polynomial and Rational Expressions- Polynomials
          • 1. Factoring techniques
            • 2. Operations with polynomials
              - Rational Expressions
              • 1. Restrictions on variables
                • 2. Simplification
                  Topic 3: 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 4: 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
                                    Topic 5: Linear Functions and Systems- Linear Equations
                                    • 1. Point-slope form
                                      • 2. Slope-intercept form
                                        - Systems of Equations
                                        • 1. Elimination method
                                          • 2. Substitution method

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            1. The value of a collectible coin can be modeled by F(t), where t represents years since the number of years since the coin was found, and the vertical axis represents the value, in thousands of dollars.

                                            How is the value of the coin changing over time based on the graph?

                                            A) The value of the coin is decreasing slower and slower.
                                            B) The value of the coin is decreasing faster and faster.
                                            C) The value of the coin is increasing faster and faster.
                                            D) The value of the coin is increasing slower and slower.


                                            2. The number of property sales in a region this year is expected to be 9 more than the number of property sales in the region last year. The function H(x) represents the number of property sales this year, where x represents 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 140?

                                            A) H(149)=140
                                            B) H(140)=149
                                            C) H(140)=131
                                            D) H(131)=140


                                            3. A set of data was gathered and used to create a model for the number of subscribers to a blog. The function model is f(x)=190× # 0.99 # ^x where xrepresents the number of years since 2003 and f(x)represents the number of subscribers.
                                            What is the correct interpretation of the average rate of change of the number of subscribers from 2012 to
                                            2015? Round to the nearest whole number, if necessary.

                                            A) The number of subscribers increases at an average rate of 171 subscribers per year.
                                            B) The number of subscribers decreases at an average rate of 2 subscribers per year.
                                            C) The number of subscribers increases at an average rate of 2 subscribers per year.
                                            D) The number of subscribers decreases at an average rate of 171 subscribers per year.


                                            4. 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 B, because 8.0 > 5.5
                                            B) Town B, because 1.3 > 1.0
                                            C) Town A, because 1.3 > 1.0
                                            D) Town A, because 8.0 > 5.5


                                            5. A recipe calls for a constant ratio of water and lemon juice. The graph shows the relationship between the amounts of these two ingredients, where wis the volume of water and lis the volume of lemon juice.

                                            What is the correct interpretation of the rate of change?

                                            A) The amount of lemon juice must be the amount of water plus 5/8.
                                            B) The amount of lemon juice must be 8/5of the amount of water.
                                            C) The amount of lemon juice must be 5/8of the amount of water.
                                            D) The amount of lemon juice must be the amount of water plus 8/5.


                                            Solutions:

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

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