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WGU Applied-Algebra Exam Syllabus Topics:

SectionWeightObjectives
Exponents, Radicals, and Quadratic Relationships15%- Properties of exponents
- Solving quadratic equations
- Basic quadratic graphs
- Simplifying radical expressions
Linear Equations and Inequalities25%- Solving and graphing inequalities
- Real-world applications
- Solving single-variable equations
Graphing and Functions25%- Coordinate plane and plotting points
- Function notation and evaluation
- Slope and equations of lines
- Linear functions and their graphs
Systems of Equations and Inequalities15%- Applications of systems
- Solving by substitution and elimination
- Graphical solutions
Algebraic Expressions and Operations20%- Order of operations
- Variables, constants, and coefficients
- Simplifying and evaluating expressions
- Operations with polynomials

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The value of a collectible artifact is represented by the function
f(x)=330× # 1.15 # ^x
In this function, xrepresents the number of years since 2005, and f(x)represents the value of the artifact, in dollars.
Which value represents the average yearly rate of change of the value of the artifact from 2006 to 2011?

A) 571.41
B) 383.81
C) 163.26
D) 76.76


2. A music student attempted to learn a difficult new song. Each day, the student would play the song and be scored on their performance. The graph shows the results.

What was the average daily change in performance from day 16 to day 20?

A) 43.86
B) 1.38
C) 6.88
D) 27.5


3. A researcher collected data on the average selling price for tickets to a concert over time. The results are shown in the scatterplot. A regression function is graphed with r
2=0.56. The predicted average selling price for tickets after 10.8 days is $167.20.

Is this prediction appropriate?

A) No. The r2value indicates a moderate fit, but x=10.8 is more than 25% of the range beyond the maximum value.
B) Yes. The r2 value indicates a moderate fit, and x=10.8 is within 25% of the range of the maximum value.
C) No. The r2 value indicates a strong fit, but x=10.8 is more than 50% of the range beyond the maximum value.
D) Yes. The r2 value indicates a strong fit, and x=10.8 is within 50% of the range of the maximum value.


4. The number of new user accounts per day on a website is modeled by a decreasing exponential function. The graph of the function is shown.

Which statement is justified considering the location of the horizontal asymptote?

A) The number of daily new user accounts will not decrease to 0.
B) The number of daily new user accounts will change by a constant rate over time.
C) The greatest number of daily new user accounts occurs after 10 months.
D) The number of daily new user accounts changes the most after the first 5 months.


5. A small business is tracking the number of client accounts it manages over time. The graph shows the relationship between time and the number of client accounts the small business manages.

What is the equation of the horizontal asymptote?

A) x=550
B) y=125
C) y=550
D) x=125


Solutions:

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

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