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Last Updated: Aug 23, 2026

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WGU Applied-Algebra Exam Syllabus Topics:

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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

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


                                            2. The graph shows the daily practice duration for a musician, where the number of days since the beginning of the month is along the horizontal axis and the number of minutes practiced per day is along the vertical axis.

                                            What was the practice duration for day 9, based on the graph?

                                            A) 127 minutes
                                            B) 119 minutes
                                            C) 117 minutes
                                            D) 133 minutes


                                            3. In the graph showing the number of new customer accounts, the horizontal axis shows the number of weeks since the beginning of winter and the vertical axis shows the number of new customer accounts. More customer accounts are opened during snowy weeks than during weeks without snow.

                                            When was it likely snowy?

                                            A) It was likely snowy during weeks 7 and 14.
                                            B) It was likely snowy during weeks 1 and 5.
                                            C) It was likely snowy during only week 1.
                                            D) It was likely snowy during only week 7.


                                            4. Consider the function I(m)=41m²#490m+30, which represents the daily income, I, in dollars, of a store based on the number of months, m, since the beginning of the year. What is the difference between I(7) and I(9)?

                                            A) Approximately 2 months
                                            B) Approximately 332 months
                                            C) Approximately $2
                                            D) Approximately $332


                                            5. An investment account accrues interest every year, and the value of the account is given by G(x). The graph of this function is shown.

                                            What represents the value of the account after 4 years?

                                            A) $1,052.87
                                            B) $711.28
                                            C) $584.62
                                            D) $480.52


                                            Solutions:

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

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