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Last Updated: Sep 24, 2026

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WGU Applied-Algebra Exam Syllabus Topics:

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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            Question #1

                                            A new company just launched and is using the function M(t) to predict its market share after t years. The graph of M(t) is shown.

                                            When should the company expect to have a market share of 60%?

                                            • A. After 6.6 years
                                            • B. After 2 years
                                            • C. After 6 years
                                            • D. After 5 years
                                            Reveal Solution  Discussion  0

                                            Correct Answer: A  🗳️

                                            Explanation: Only visible for ActualTestsQuiz members. You can sign-up / login (it's free).

                                            Question #2

                                            The logistic function f(x), whose graph is shown, models the number of registrants for an academic conference, where x represents the number of weeks since registration opened and f(x) represents the number of registrants.

                                            How does the number of registrants change as time progresses from week 1 to week 7?

                                            • A. The number of registrants increases slower and slower.
                                            • B. The number of registrants decreases slower and slower.
                                            • C. The number of registrants increases faster and faster.
                                            • D. The number of registrants decreases faster and faster.
                                            Reveal Solution  Discussion  0

                                            Correct Answer: C  🗳️

                                            Explanation: Only visible for ActualTestsQuiz members. You can sign-up / login (it's free).

                                            Question #3

                                            The values, in dollars, of two accounts over time are modeled by
                                            A_1 (t)=6,500× # 1.05 # ^t
                                            and
                                            A_2 (t)=3,000× # 0.96 # ^t
                                            The variable tis measured in years.
                                            What is the difference between the accounts after 3 years?

                                            • A. The value of Account 1 is about $4,870less than the value of Account 2.
                                            • B. The value of Account 1 is about $2,654less than the value of Account 2.
                                            • C. The value of Account 1 is about $4,870greater than the value of Account 2.
                                            • D. The value of Account 1 is about $2,654greater than the value of Account 2.
                                            Reveal Solution  Discussion  0

                                            Correct Answer: C  🗳️

                                            Explanation: Only visible for ActualTestsQuiz members. You can sign-up / login (it's free).

                                            Question #4

                                            The logistic function f(x), whose graph is shown, models the number of people with a viral infection, where x represents the number of days since the outbreak of the virus and f(x) represents the number of viral infections.

                                            What happens as time progresses from day 9 to day 12?

                                            • A. The number of people with the virus increases faster and faster.
                                            • B. The number of people with the virus decreases faster and faster.
                                            • C. The number of people with the virus decreases slower and slower.
                                            • D. The number of people with the virus increases slower and slower.
                                            Reveal Solution  Discussion  0

                                            Correct Answer: A  🗳️

                                            Explanation: Only visible for ActualTestsQuiz members. You can sign-up / login (it's free).

                                            Question #5

                                            The function F(n) represents the relationship between the number of animals in two enclosures, where n is the number of animals in enclosure A and F is the number of animals in enclosure B. The number of animals in enclosure B is 20 more than the number of animals in enclosure A.
                                            Which function represents this situation?

                                            • A. F(n)=n#20
                                            • B. F(n)=n/20
                                            • C. F(n)=20n
                                            • D. F(n)=n+20
                                            Reveal Solution  Discussion  0

                                            Correct Answer: D  🗳️

                                            Explanation: Only visible for ActualTestsQuiz members. You can sign-up / login (it's free).

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