Applied-Algebra최고품질인증시험기출자료, Applied-Algebra 100％시험패스덤프

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WGU Applied-Algebra Exam Syllabus Topics:

SectionObjectives
Functions and Graphs- Graphing Functions
  • 1. Transformations of graphs
    • 2. Coordinate plane interpretation
      - Function Concepts
      • 1. Domain and range
        • 2. Function notation
          Linear Functions and Systems- Systems of Equations
          • 1. Substitution method
            • 2. Elimination method
              - Linear Equations
              • 1. Point-slope form
                • 2. Slope-intercept form
                  Foundations of Algebra- Algebraic Expressions
                  • 1. Order of operations
                    • 2. Simplifying expressions
                      • 3. Evaluating expressions
                        - Equations and Inequalities
                        • 1. Inequalities and interval notation
                          • 2. Linear equations in one variable
                            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. Exponential equations
                                      • 2. Growth and decay models
                                        - Logarithmic Basics
                                        • 1. Logarithm properties
                                          • 2. Conversion between exponential and logarithmic form

                                            >> Applied-Algebra최고품질 인증시험 기출자료 <<

                                            Applied-Algebra최고품질 인증시험 기출자료 100% 유효한 최신버전 공부자료

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                                            최신 Courses and Certificates Applied-Algebra 무료샘플문제 (Q12-Q17):

                                            질문 # 12
                                            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?

                                            정답：B

                                            설명：
                                            This problem uses an exponential growth model. The initial portfolio value is 3100, and the growth factor is
                                            1.059. Since the growth factor is greater than 1, the portfolio increases over time. To find the value after 10 years, substitute x=10 into the function: g(10)=3100(1.059)
                                            10
                                            First evaluate the exponent, then multiply by 3100. This gives g(10)#5499.4758. Rounded to the nearest cent, the value is $5,499.48. The answer must be written as money because the function models the value of an investment portfolio. Among the choices, only option B matches the correctly evaluated exponential expression. Therefore, the correct answer is B.


                                            질문 # 13
                                            A vehicle is travelling away from a rest stop. The function
                                            D(t)=48t+23
                                            represents the distance from the vehicle to the rest stop at time t, where t is measured in hours and D is measured in miles.
                                            What is the value of D(1.7)?

                                            정답：D

                                            설명：
                                            The function is:
                                            D(t)=48t+23
                                            This is a linear function because it has the form:
                                            D(t)=mt+b
                                            where:
                                            48
                                            is the rate of change, and:
                                            23
                                            is the starting distance from the rest stop.
                                            We need to find:
                                            D(1.7)
                                            That means substitute:
                                            t=1.7
                                            into the function.
                                            D(1.7)=48(1.7)+23
                                            First multiply:
                                            48(1.7)=81.6
                                            Now add 23:
                                            D(1.7)=81.6+23
                                            D(1.7)=104.6
                                            So the vehicle is:
                                            104.6 miles
                                            from the rest stop after 1.7 hours.


                                            질문 # 14
                                            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?

                                            정답：C

                                            설명：
                                            This question asks for correct function notation. The input x represents the number of properties sold last year, and the output H(x) represents the expected number of property sales this year. Since this year's number is expected to be 9 more than last year's number, the function rule is H(x)=x+9. The problem states that 140 properties were sold last year, so the correct input is x=140. Substituting gives H(140)=140+9=149. This means that when last year's sales were 140, this year's expected sales are 149. The input must be inside the parentheses, and the output must follow the equals sign. Therefore, the correct answer is B.


                                            질문 # 15
                                            The exponential function
                                            f(t)=2900(1.13)
                                            t
                                            represents the size of a bacteria population, where t is the time in hours.
                                            How many bacteria are in the population when t=18?

                                            정답：C

                                            설명：
                                            This is an exponential growth problem because the base 1.13 is greater than 1. The function starts with 2,900 bacteria and grows by a factor of 1.13 each hour, which represents a 13% hourly increase. To find the population after 18 hours, substitute t=18 into the function: f(18)=2900(1.13)
                                            18
                                            Evaluating the exponent and multiplying by 2900 gives approximately 26,170.38. Since bacteria are counted as whole organisms, this rounds to about 26,170 bacteria. The other answer choices do not match the exponential model at t=18. Therefore, the correct answer is C.


                                            질문 # 16
                                            Consider the function I(m)=41m²#490m+30, which represents the daily income, I, in dollars, of a store based on the number of months, m, since the beginning of the year. What is the difference between I(7) and I(9)?

                                            정답：D

                                            설명：
                                            This is a polynomial function evaluation problem. Since I(m) represents daily income in dollars, the difference between I(7) and I(9) must also be in dollars. First evaluate I(7)=41(49)#490(7)
                                            +30=2009#3430+30=#1391. Then evaluate I(9)=41(81)#490(9)+30=3321#4410+30=#1059. The difference is
                                            |#1059#(#1391)|=332. Because the question asks for the difference between the two outputs, the correct unit is dollars, not months. So the difference between I(7) and I(9) is approximately $332. Therefore, the correct answer is C.


                                            질문 # 17
                                            ......

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