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WGU Applied-Algebra Exam Syllabus Topics:

SectionWeightObjectives
Topic 1: Algebraic Expressions and Operations20%- Operations with polynomials
- Order of operations
- Variables, constants, and coefficients
- Simplifying and evaluating expressions
Topic 2: Systems of Equations and Inequalities15%- Solving by substitution and elimination
- Graphical solutions
- Applications of systems
Topic 3: Exponents, Radicals, and Quadratic Relationships15%- Properties of exponents
- Simplifying radical expressions
- Solving quadratic equations
- Basic quadratic graphs
Topic 4: Linear Equations and Inequalities25%- Solving and graphing inequalities
- Real-world applications
- Solving single-variable equations
Topic 5: Graphing and Functions25%- Function notation and evaluation
- Linear functions and their graphs
- Slope and equations of lines
- Coordinate plane and plotting points

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The function P(t)represents the daily profit, in hundreds of dollars, for a museum since opening. The graph of P(t)is shown.

What is the correct interpretation of the maximum value?

A) Approximately 20 years after opening, a maximum daily profit of approximately $299was earned.
B) Approximately 9.5 years after opening, a maximum daily profit of approximately $1,650was earned.
C) Approximately 9.5 years after opening, a maximum daily profit of approximately $299was earned.
D) Approximately 20 years after opening, a maximum daily profit of approximately $1,650was earned.


2. 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) 163.26
B) 76.76
C) 383.81
D) 571.41


3. The number of people auditioning for a game show is expected to be 3 less than the number of people who auditioned last year. The function A(t)can be used to model the situation, where trepresents the number of people who auditioned last year and Arepresents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 280 people auditioned last year?

A) A(277)=280
B) A(280)=277
C) A(283)=280
D) A(280)=283


4. The graph shows the number of customers, C(t), showing up to a store, where the number of hours since opening is along the horizontal axis and the number of customers showing up to the store each hour is along the vertical axis.

How can the concavity be described from t=6.2to t=10.1?

A) The number of customers increases faster and faster and then increases slower and slower.
B) The number of customers increases slower and slower and then increases faster and faster.
C) The number of customers decreases slower and slower and then increases faster and faster.
D) The number of customers increases slower and slower and then decreases faster and faster.


5. After a water tank starts leaking, the amount of water in the tank is modeled by the exponential function that is graphed.

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

A) The water volume will not decrease to 500 gallons.
B) The water volume will change by a constant rate over time.
C) The greatest water volume occurs after 11 minutes.
D) The rate of change in water volume quickens over time.


Solutions:

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

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