New Applied-Algebra Exam Labs | Applied-Algebra Practice Online

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WGU Applied-Algebra Exam Syllabus Topics:

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

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                                            WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q117-Q122):

                                            NEW QUESTION # 117
                                            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?

                                            Answer: A

                                            Explanation:
                                            The function is:
                                            p(m)=5m+5
                                            This is a linear function in the form:
                                            p(m)=mx+b
                                            For a linear function, the average rate of change over any interval is the same as the slope.
                                            The slope is the coefficient of m:
                                            5
                                            So the price increases at a constant rate of:
                                            $5 " per month "
                                            We can also verify using the average rate of change formula:
                                            (p(10)-p(1))/(10-1)
                                            Find p(10):
                                            p(10)=5(10)+5=55
                                            Find p(1):
                                            p(1)=5(1)+5=10
                                            Now calculate:
                                            (55-10)/(10-1)
                                            =45/9
                                            =5


                                            NEW QUESTION # 118
                                            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: A

                                            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 # 119
                                            The graph shows the estimated wait time, in minutes, based on the number of hours after 7:00 a.m.
                                            What is the average rate of change of the wait time from point Ato point B?

                                            Answer: B


                                            NEW QUESTION # 120
                                            The spread of two viruses within a single population is modeled using the functions in the graph.

                                            What is a correct conclusion based on the graph?

                                            Answer: B

                                            Explanation:
                                            The graph compares the spread of two viruses over time.
                                            The horizontal axis represents:
                                            " time in months "
                                            The vertical axis represents:
                                            " percent of the population affected "
                                            The graph shows:
                                            Virus A as the solid blue curve.
                                            Virus B as the dashed blue curve.
                                            To determine which statement is correct, compare when each virus reaches the same population percentage.
                                            At 20%, Virus A reaches that level earlier than Virus B. The solid curve is already at 20%before the dashed curve reaches 20%.
                                            However, for higher percentages like 70%and 80%, Virus B reaches those levels before Virus A because the dashed curve becomes steeper and rises above the solid curve after about 50%.
                                            So the correct conclusion is:
                                            " Virus A affects " 20% " of the population before virus B does. "
                                            Therefore, the correct answer is:
                                            # ( " A " )


                                            NEW QUESTION # 121
                                            The graphed function n(t)represents the number of people, n, at a park thours after 8:00 a.m. The plotted points Aand Bhave coordinates (2#110)and (6#182).

                                            Which statement gives the correct interpretation of the average rate of change of the number of people over the interval from point Ato point B?

                                            Answer: C

                                            Explanation:
                                            The average rate of change measures how much the output changes per one unit of input.
                                            Here:
                                            t= " hours after 8:00 a.m. "
                                            and
                                            n(t)= " number of people at the park "
                                            The two given points are:
                                            A=(2,110)
                                            and
                                            B=(6,182)
                                            This means:
                                            At t=2hours after 8:00 a.m., there were 110people at the park.
                                            At t=6hours after 8:00 a.m., there were 182people at the park.
                                            Now calculate the average rate of change:
                                            " Average rate of change " =(182-110)/(6-2)
                                            =72/4
                                            =18
                                            Because the value is positive, the number of people is increasing.
                                            So the correct interpretation is:
                                            " The number of people at the park increases at an average rate of 18 people per hour. "


                                            NEW QUESTION # 122
                                            ......

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