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WGU Applied-Algebra Exam Syllabus Topics:

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

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. A team was assembled at a manufacturing plant in order to boost productivity. The team was tasked with producing as many widgets each day as possible. The results are shown in the graph.

What is the correct interpretation of the average rate of change from day 6 to day 14?

A) The team increased production by an average of approximately 1.2 widgets each day.
B) The team increased production by an average of approximately 2.5 widgets each day.
C) Over the 8-day period, the team approximately produced an additional 1.2 widgets in total.
D) Over the 8-day period, the team approximately produced an additional 2.5 widgets in total.


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


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

How should the maximum value be interpreted?

A) Approximately 9 years after opening, a maximum daily profit of approximately $1,270was earned.
B) Approximately 21 years after opening, a maximum daily profit of approximately $1,270was earned.
C) Approximately 21 years after opening, a maximum daily profit of approximately $2,900was earned.
D) Approximately 9 years after opening, a maximum daily profit of approximately $2,900was earned.


4. A researcher collected data on the average number of product returns per month to a company over time. The results are shown in the scatterplot. The graphed regression function has an r
2
value of 0.45.

Which range of x-values is appropriate for extrapolation?

A) x=3 to x=21
B) Extrapolation is not appropriate because r
2
< 0.7.
C) x=0 to x=24
D) Extrapolation is not appropriate because r
2
< 1.


5. The figure shows the graph of x(t), which represents the number of users, x, watching a live video thours after
9:00 a.m.

Which interpretation of the concavity between t=3.2and t=5.7is correct?

A) The number of users is increasing slower and slower.
B) The number of users is decreasing faster and faster.
C) The number of users is decreasing slower and slower.
D) The number of users is increasing faster and faster.


Solutions:

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

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