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WGU Applied-Algebra Exam Syllabus Topics:

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

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. 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?

A) -5.83
B) 11.04
C) 77.25
D) -23.3


2. The number of wild horses in a federal park is represented by the logistic function f(x), whose graph is shown, where xrepresents the number of years since the park was established and f(x)represents the wild horse population in a given year.

How does the number of wild horses change as time progresses from year 1 to year 9?

A) The number of wild horses increases faster and faster.
B) The number of wild horses increases slower and slower.
C) The number of wild horses decreases slower and slower.
D) The number of wild horses decreases faster and faster.


3. The number of property sales in a region this year is expected to be 8 times the number of property sales in the region last year. The function H(x)represents the number of property sales this year, where xrepresents 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 360?

A) H(360)=45
B) H(2,880)=360
C) H(360)=2,880
D) H(45)=360


4. A company provides internet service to approximately 1,050 customers each year. The table shows the percentage of customers with fiber internet each year since 2020.
Years since 2020 Percent of Customers with Fiber
0 19
1 28
2 40
3 57
What was the approximate number of customers with fiber internet in 2023?

A) 420
B) 598
C) 630
D) 452


5. The number of comments on a social media post is represented by the logistic function f(x), whose graph is shown, where xrepresents the number of days since the post was created and f(x)represents the number of comments on day x.

How does the number of comments change as time progresses from day 1 to day 17?

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


Solutions:

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

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