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WGU Applied-Algebra Exam Syllabus Topics:

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

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

                                            Question 1

                                            The value of an investment portfolio after x years is modeled by the function g(x)=3100(1.059) x
                                            .
                                            What is the value of the portfolio when x=10?

                                            A. $5,193.08
                                            B. $6,167.56
                                            C. $5,823.94
                                            D. $5,499.48


                                            Question 2

                                            A researcher collected data on the number of large donations per year to a charitable organization. The results are shown in the scatterplot. A regression function is graphed with r^2.

                                            What is the appropriate range of x-values for extrapolation?

                                            A. x=0to x=18
                                            B. Extrapolation is not appropriate because r^2 < 0.7.
                                            C. Extrapolation is not appropriate because r^2 < 1.
                                            D. x=-3to x=21


                                            Question 3

                                            Consider the function
                                            w(t)=0.03t^4-0.81t^3+7.55t^2-26.62t+44
                                            which represents the number of workers, w, at a job site thours after 6:00 a.m.
                                            What is the difference between w(4)and w(8)?

                                            A. Approximately 4 hours
                                            B. Approximately 8 workers
                                            C. Approximately 8 hours
                                            D. Approximately 4 workers


                                            Question 4

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


                                            Question 5

                                            The given function represents the price of a commodity, p, in dollars, based on the number of months, m, since the beginning of 2020.
                                            p(m)=5m+5
                                            What is the average rate of change of the price over the interval m=1to m=10?

                                            A. 32.5
                                            B. 5
                                            C. 45
                                            D. 5.91


                                            Solutions:

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

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