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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
          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
                    Linear Functions and Systems- Linear Equations
                    • 1. Slope-intercept form
                      • 2. Point-slope form
                        - Systems of Equations
                        • 1. Elimination method
                          • 2. Substitution method
                            Polynomial and Rational Expressions- Rational Expressions
                            • 1. Simplification
                              • 2. Restrictions on variables
                                - Polynomials
                                • 1. Factoring techniques
                                  • 2. Operations with polynomials
                                    Exponential and Logarithmic Concepts- Exponential Functions
                                    • 1. Growth and decay models
                                      • 2. Exponential equations
                                        - Logarithmic Basics
                                        • 1. Logarithm properties
                                          • 2. Conversion between exponential and logarithmic form

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                                            WGU Applied Algebra FXO2 PFXP C957 Applied-Algebra Prüfungsfragen mit Lösungen (Q58-Q63):

                                            58. Frage
                                            The number of property sales in a region this year is expected to be 3 times 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 280?

                                            Antwort: D

                                            Begründung:
                                            This problem uses function notation to describe a multiplicative relationship. The input x is the number of properties sold last year, and the output H(x) is the expected number sold this year. Since this year's sales are
                                            3 times last year's sales, the function rule is H(x)=3x. The given input is 280 because 280 properties were sold last year. Substituting gives H(280)=3(280)=840. That means 840 property sales are expected this year. The answer choice must show the correct input of 280 and the correct output of 840. The other options either reverse the values or use an incorrect output. Therefore, the correct answer is C.


                                            59. Frage
                                            The function f(n) represents the relationship between the distances traveled by two vehicles, where n is the distance traveled by vehicle A and f is the distance traveled by vehicle B. The distance traveled by vehicle B is 17 more than the distance traveled by vehicle A.
                                            Which function represents this situation?

                                            Antwort: D

                                            Begründung:
                                            The function f(n) gives the distance traveled by vehicle B.
                                            The input n represents the distance traveled by vehicle A.
                                            The problem says vehicle B travels 17 more than vehicle A. The phrase "17 more than" means we add 17 to the amount traveled by vehicle A.
                                            So the relationship is:
                                            f(n)=n+17
                                            For example, if vehicle A traveled 50 miles, then vehicle B traveled:
                                            f(50)=50+17=67
                                            So the correct function is:
                                            f(n)=n+17
                                            Therefore, the correct answer is:
                                            B


                                            60. Frage
                                            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