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WGU Applied-Algebra Exam Syllabus Topics:

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

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q26-Q31):

NEW QUESTION # 26
Consider the graph of p(t)shown. The function represents the number of active players, p, in a game thours after 11:00 a.m.

Which interpretation of the concavity between t=0.4and t=3.6is correct?

Answer: C

Explanation:
The graph represents:
p(t)= " number of active players "
where:
t= " hours after 11:00 a.m. "
We need to interpret the concavity between:
t=0.4
and
t=3.6
On this interval, the graph is rising, so the number of players is increasing.
But as the graph rises, it begins to level off near the top. This means the rate of increase is getting smaller.
So the number of players is not increasing faster and faster. Instead, it is increasing, but more slowly as time passes.
That means the graph is concave down on this interval.
The correct interpretation is:
" The number of players is increasing slower and slower. "


NEW QUESTION # 27
The graph shows functions modeling the spread of two diseases within the same population.

Which conclusion is valid?

Answer: B

Explanation:
This problem compares two logistic growth curves. Each curve shows the percentage of the population affected by a disease over time. To determine which conclusion is valid, compare when each disease reaches the same percentage level. From the graph, Disease B reaches the 70% population level before Disease A reaches 70%. This means Disease B affects 70% of the population earlier in time. For other listed percentages, the graph does not support the same timing relationship as clearly or correctly. Logistic curves can cross or change relative position, so it is important to compare the same output level on both curves. Based on the graph, the valid conclusion is that Disease B affects 70% of the population before Disease A does. The answer is D.


NEW QUESTION # 28
The logistic function f(x), whose graph is shown, models the number of registrants for an academic conference, where x represents the number of weeks since registration opened and f(x) represents the number of registrants.

How does the number of registrants change as time progresses from week 1 to week 7?

Answer: B

Explanation:
The graph shows a logistic growth function for conference registration. From week 1 to week 7, the number of registrants is increasing because the graph rises as time moves forward. The curve also becomes steeper throughout this interval, meaning the number of registrants is increasing at a faster rate each week. In Applied Algebra, when a graph rises and its slope increases, the correct interpretation is "increases faster and faster." The graph is not decreasing, so both decreasing options are incorrect. The graph is also not flattening during this interval, so "increases slower and slower" does not match. Therefore, the correct answer is C.


NEW QUESTION # 29
The graph shows the progress of a manufacturing team, modeling the number of widgets the team is able to produce each day since the team was formed.

How should the average rate of change from day 16 to day 18 be interpreted?

Answer: B

Explanation:
The graph models the number of widgets the manufacturing team can produce each day.
The horizontal axis represents:
" Days "
The vertical axis represents:
" Widgets produced each day "
The two labeled points are:
(16#9.1)
and
(18#12.4)
This means:
On day 16, the team could produce about 9.1widgets per day.
On day 18, the team could produce about 12.4widgets per day.
The average rate of change is:
(12.4-9.1)/(18-16)
=3.3/2
=1.65
Rounded to the nearest tenth:
1.7
So from day 16 to day 18, the team's production increased by an average of about:
1.7 " widgets each day "


NEW QUESTION # 30
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?

Answer: C

Explanation:
The function A(t)represents the number of people expected to audition this year.
The input trepresents the number of people who auditioned last year.
The problem says this year's number is expected to be 3 less than last year's number. Therefore, the function rule is:
A(t)=t-3
We are told that 280 people auditioned last year, so:
t=280
Substitute 280into the function:
A(280)=280-3
A(280)=277
So, the notation that represents the number of people expected to audition this year is:
A(280)=277
This means if 280 people auditioned last year, then 277 people are expected to audition this year.
Therefore, the correct answer is:
# ( " A " )


NEW QUESTION # 31
......

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