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WGU Applied-Algebra Exam Syllabus Topics:

Section	Weight	Objectives
Linear Equations and Inequalities	25%	- Real-world applications - Solving and graphing inequalities - Solving single-variable equations
Algebraic Expressions and Operations	20%	- Variables, constants, and coefficients - Order of operations - Operations with polynomials - Simplifying and evaluating expressions
Graphing and Functions	25%	- Slope and equations of lines - Function notation and evaluation - Linear functions and their graphs - Coordinate plane and plotting points
Exponents, Radicals, and Quadratic Relationships	15%	- Solving quadratic equations - Simplifying radical expressions - Properties of exponents - Basic quadratic graphs
Systems of Equations and Inequalities	15%	- Applications of systems - Solving by substitution and elimination - Graphical solutions

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q112-Q117):

NEW QUESTION # 112
As regulations change, the number of licensed sellers of a product decreases. The graph models the change in the number of licensed sellers over time.

What does the horizontal asymptote mean?

A. The number of licensed sellers was initially 1,050.
B. Over time, the number of licensed sellers will increase back up to 1,050.
C. In the long run, the number of licensed sellers nears 300.
D. After 21 months, the number of licensed sellers decreased to 300.

Answer: C

Explanation:
The horizontal asymptote describes the long-term behavior of the function. In this problem, the graph shows a decreasing exponential model for the number of licensed sellers. The graph begins near a higher value and then decreases, eventually leveling off near 300. This means the number of licensed sellers approaches 300 over time. It does not mean the number necessarily becomes exactly 300 at 21 months, and it does not mean the sellers increase back to the initial value. The initial value is separate from the horizontal asymptote. Since the graph levels off around 300, the correct interpretation is that in the long run, the number of licensed sellers nears 300. Therefore, the answer is C.

NEW QUESTION # 113
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 decreases slower and slower and then increases faster and faster.
B. The number of customers increases faster and faster and then increases slower and slower.
C. The number of customers increases slower and slower and then decreases faster and faster.
D. The number of customers increases slower and slower and then increases faster and faster.

Answer: C

Explanation:
From t=6.2to about t=8.5, the graph is increasing, but it is becoming less steep as it approaches a local maximum.
That means the number of customers is:
" increasing slower and slower "
After the local maximum, from about t=8.5to t=10.1, the graph begins to decrease and becomes steeper downward.
That means the number of customers is:
" decreasing faster and faster "
So the full description is:
" The number of customers increases slower and slower and then decreases faster and faster. " Therefore, the correct answer is:
# ( " D " )

NEW QUESTION # 114
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 change by a constant rate over time.
B. The greatest number of daily new user accounts occurs after 10 months.
C. The number of daily new user accounts changes the most after the first 5 months.
D. The number of daily new user accounts will not decrease to 0.

Answer: D

Explanation:
The graph shows a decreasing exponential function.
The horizontal axis represents:
" Time in months "
The vertical axis represents:
" New user accounts per day "
The graph starts near 7,000new user accounts per day and decreases over time. However, it does not decrease toward 0. Instead, the graph levels off near a horizontal value around:
y=2,500
This horizontal value is the horizontal asymptote.
A horizontal asymptote shows the long-term value the function approaches. Since the asymptote is above 0, the model predicts that the number of daily new user accounts approaches a positive value, not zero.
So the justified statement is:
" The number of daily new user accounts will not decrease to 0. "

NEW QUESTION # 115
The population of fish in a lake is changing according to the function
P(t)=24t+185
where tis the number of months since the beginning of the year and P(t)is the fish population at time t.
Which interpretation of the rate of change is correct?

A. The number of fish in the lake is increasing at a constant rate of 185 fish per month.
B. The number of fish in the lake is decreasing at a constant rate of 185 fish per month.
C. The number of fish in the lake is increasing at a constant rate of 24 fish per month.
D. The number of fish in the lake is decreasing at a constant rate of 24 fish per month.

Answer: C

NEW QUESTION # 116
The number of people auditioning for a game show is expected to be 4 times the number of people who auditioned last year. The function A(t) can be used to model the situation, where t represents the number of people who auditioned last year and A represents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 330 people auditioned last year?

A. A(330)=1,320
B. A(1,320)=330
C. A(82)=330
D. A(330)=82

Answer: A

Explanation:
We are told that the number of people expected to audition this year is 4 times the number of people who auditioned last year.
Let:
t=number of people who auditioned last year
and
A(t)=number of people expected to audition this year
Since this year's number is 4 times last year's number, the function is:
A(t)=4t
The question says that 330 people auditioned last year, so:
t=330
Now substitute 330 into the function:
A(330)=4(330)
A(330)=1320
So, the correct function notation is:
A(330)=1,320
This means: when 330 people auditioned last year, 1,320 people are expected to audition this year.
Therefore, the correct answer is:
B

NEW QUESTION # 117
......

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