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WGU Applied-Algebra Exam Syllabus Topics:

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

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The number of people, P, in a festival audience is represented by the graph, with the number of hours since the beginning of the festival along the horizontal axis and the size of the audience along the vertical axis.

Point Arepresents an audience size of 402 for the first hour of the festival, or P(0)=402.
Which ordered pair represents a point on the graph?

A) (8#409)
B) (10#407)
C) (4#404)
D) (2#401)


2. The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.

Which town's population is growing at a faster rate?

A) Town B, because 1.6 > 0.9
B) Town A, because 1.6 > 0.9
C) Town A, because 8.0 > 6.5
D) Town B, because 8.0 > 6.5


3. The number of registered voters in a district is modeled by a decreasing exponential function, where x represents the number of years since 2005 and f(x) represents the number of registered voters.

Which interval is associated with the slowest average decrease in the number of registered voters?

A) 2007 to 2014
B) 2008 to 2023
C) 2005 to 2008
D) 2015 to 2025


4. Based on collected data, the value of a painting can be modeled using the exponential function f(x)=240(1.12) x
. In this case, x represents the number of years since 2005, and f(x) represents the value of the painting in dollars.
Which value represents the average yearly rate of change of the painting's value from 2013 to 2015?

A) 74.42
B) 75.59
C) 151.17
D) 669.82


5. The function P(t)represents the yearly profit, in millions of dollars, for a streaming service since opening. The graph of P(t)is shown.

What is the correct interpretation of the maximum value?

A) Approximately 10.5 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
B) Approximately 22 years after opening, a maximum yearly profit of approximately $235,000was earned.
C) Approximately 22 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
D) Approximately 10.5 years after opening, a maximum yearly profit of approximately $235,000was earned.


Solutions:

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

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