New Applied-Algebra Study Plan - Applied-Algebra Related Content

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WGU Applied-Algebra Exam Syllabus Topics:

SectionObjectives
Functions and Graphs- Function Concepts
  • 1. Domain and range
    • 2. Function notation
      - Graphing Functions
      • 1. Transformations of graphs
        • 2. Coordinate plane interpretation
          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
                  Foundations of Algebra- Equations and Inequalities
                  • 1. Linear equations in one variable
                    • 2. Inequalities and interval notation
                      - Algebraic Expressions
                      • 1. Order of operations
                        • 2. Simplifying expressions
                          • 3. Evaluating expressions
                            Linear Functions and Systems- Linear Equations
                            • 1. Point-slope form
                              • 2. Slope-intercept 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

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                                            Applied-Algebra Related Content, Updated Applied-Algebra Testkings

                                            Applied-Algebra real dumps revised and updated according to the syllabus changes and all the latest developments in theory and practice, our WGU Applied Algebra FXO2 PFXP C957 real dumps are highly relevant to what you actually need to get through the certifications tests. Moreover they impart you information in the format of Applied-Algebra Questions and answers that is actually the format of your real certification test. Hence not only you get the required knowledge but also find the opportunity to practice real exam scenario.

                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q130-Q135):

                                            NEW QUESTION # 130
                                            The growth of an animal population is shown in the graph. The instantaneous rate of change at point Pis 3.74.

                                            Which interpretation of the instantaneous rate of change is correct?

                                            Answer: B

                                            Explanation:
                                            The graph shows population in thousands, and the horizontal axis represents:
                                            " years since 1995 "
                                            Point Pis located at approximately:
                                            x=12
                                            Since xrepresents years since 1995:
                                            1995+12=2007
                                            So point Pcorresponds to the year:
                                            2007
                                            The instantaneous rate of change at point Pis:
                                            3.74
                                            Because the vertical axis is measured in thousands, this means:
                                            3.74 " thousand animals per year "
                                            Convert thousands to actual animals:
                                            3.74×1000=3740
                                            So in 2007, the population was increasing by approximately:
                                            3,740 " animals per year "


                                            NEW QUESTION # 131
                                            The number of tasks completed by computer B is 12 more than the number of tasks completed by computer A. Let F(x)represent the relationship between the number of tasks completed by the two computers, where xis the number of tasks completed by computer A and Fis the number of tasks completed by computer B.
                                            Which function represents this situation?

                                            Answer: C

                                            Explanation:
                                            We are told that computer B completes 12 more tasks than computer A.
                                            Let:
                                            x= " number of tasks completed by computer A "
                                            and
                                            F(x)= " number of tasks completed by computer B "
                                            The phrase "12 more than" means add 12 to the original amount:
                                            F(x)=x+12
                                            So, if computer A completes xtasks, computer B completes:
                                            x+12
                                            tasks.
                                            For example, if computer A completed 50 tasks, then computer B completed:
                                            F(50)=50+12=62
                                            Therefore, the correct answer is:
                                            # ( " B " )


                                            NEW QUESTION # 132
                                            A researcher collected data on the average number of product returns per month to a company over time. The results are shown in the scatterplot. The graphed regression function has an r
                                            2
                                            value of 0.45.

                                            Which range of x-values is appropriate for extrapolation?

                                            Answer: C

                                            Explanation:
                                            The coefficient of determination, r
                                            2
                                            , measures how well a regression model fits the data. A value close to 1 indicates a strong fit, while a lower value indicates that the model does not explain the data as reliably. Here, r
                                            2
                                            =0.45, which is below 0.7. That means the model does not have a strong enough fit for reliable extrapolation in this question. Extrapolation means using the model to predict values outside the observed data range, which is riskier than interpolation. Because the model fit is not strong, choosing an extended range of x-values would not be appropriate. The correct reason is that extrapolation is not appropriate because r
                                            2
                                            < 0.7. Therefore, the answer is D.


                                            NEW QUESTION # 133
                                            A contractor charges a flat rate plus a fixed rate per hour to come and make repairs. For a job that takes 3 hours, the contractor charges $220. For a job that takes 5 hours, the contractor charges $340.
                                            Which function correctly represents the total charge Cfor a job that takes thours?

                                            Answer: A

                                            Explanation:
                                            The contractor charges a flat rate plus a fixed rate per hour, so this situation is modeled by a linear function:
                                            C(t)=mt+b
                                            where:
                                            m= " hourly rate "
                                            and
                                            b= " flat rate "
                                            We are given two points:
                                            (3#220)
                                            and
                                            (5#340)
                                            These mean:
                                            A 3-hour job costs $220.
                                            A 5-hour job costs $340.
                                            First, find the hourly rate using slope:
                                            m=(340-220)/(5-3)
                                            m=120/2
                                            m=60
                                            So the contractor charges:
                                            $60 " per hour "
                                            Now the function has the form:
                                            C(t)=60t+b
                                            Use the point (3#220)to find the flat rate:
                                            220=60(3)+b
                                            220=180+b
                                            b=40
                                            So the function is:
                                            C(t)=60t+40
                                            Check with t=5:
                                            C(5)=60(5)+40
                                            C(5)=300+40
                                            C(5)=340
                                            This matches the given information.


                                            NEW QUESTION # 134
                                            A researcher collected data on the number of members in a national association over time. The results are shown in the scatterplot. The graphed regression function has an r

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