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  • Total Questions: 144
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WGU Applied-Algebra Exam Syllabus Topics:

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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            The number of letters processed daily at a mail center is modeled by the decreasing exponential function shown in the graph.

                                            What is the long-term trend in the number of letters processed per day, based on the equation of the horizontal asymptote?

                                            • A. 4,500
                                            • B. 2,250
                                            • C. 25
                                            • D. 1,000
                                            Reveal Solution  Discussion  0

                                            Correct Answer: D  🗳️

                                            Explanation: Only visible for 2Pass4sure members. You can sign-up / login (it's free).

                                            The number of people auditioning for a game show is expected to be 4 times the number of people who auditioned last year. The function A(t) can be used to model the situation, where t represents the number of people who auditioned last year and A represents the number of people expected to audition this year.
                                            Which quantity represents the number of people expected to audition this year, given that 330 people auditioned last year?

                                            • A. A(330)=1,320
                                            • B. A(82)=330
                                            • C. A(330)=82
                                            • D. A(1,320)=330
                                            Reveal Solution  Discussion  0

                                            Correct Answer: A  🗳️

                                            Explanation: Only visible for 2Pass4sure members. You can sign-up / login (it's free).

                                            The number of new user accounts per day on a website is modeled by a decreasing exponential function. The graph of the function is shown.

                                            Which statement is justified considering the location of the horizontal asymptote?

                                            • A. The number of daily new user accounts will change by a constant rate over time.
                                            • B. The number of daily new user accounts changes the most after the first 5 months.
                                            • C. The greatest number of daily new user accounts occurs after 10 months.
                                            • D. The number of daily new user accounts will not decrease to 0.
                                            Reveal Solution  Discussion  0

                                            Correct Answer: D  🗳️

                                            Explanation: Only visible for 2Pass4sure members. You can sign-up / login (it's free).

                                            A researcher collected data on the traffic frequency on a section of road. The results are shown in the scatterplot. A regression function is graphed with r^2=0.96. The predicted traffic frequency 16.2 hours after dawn is 70 cars per minute.

                                            Is this prediction appropriate?

                                            • A. No. The r^2value indicates a moderate fit, but x=16.2is more than 25%of the range beyond the maximum value.
                                            • B. Yes. The r^2value indicates a moderate fit, and x=16.2is within 25%of the range of the maximum value.
                                            • C. Yes. The r^2value indicates a strong fit, and x=16.2is within 50%of the range of the maximum value.
                                            • D. No. The r^2value indicates a strong fit, but x=16.2is more than 50%of the range beyond the maximum value.
                                            Reveal Solution  Discussion  0

                                            Correct Answer: C  🗳️

                                            Explanation: Only visible for 2Pass4sure members. You can sign-up / login (it's free).

                                            A vehicle is traveling away from a town at a fixed rate. After 1 hours, the vehicle is 200 miles from the town.
                                            After 4 hours, the vehicle is 395 miles from the town.
                                            Which function represents the distance, d, between the vehicle and the town after thours?

                                            • A. d(t)=65t+135
                                            • B. d(t)=65t
                                            • C. d(t)=135t+65
                                            • D. d(t)=135t
                                            Reveal Solution  Discussion  0

                                            Correct Answer: A  🗳️

                                            Explanation: Only visible for 2Pass4sure members. You can sign-up / login (it's free).

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