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WGU Applied-Algebra Exam Syllabus Topics:

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

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q89-Q94):

NEW QUESTION # 89
A music student attempted to learn a difficult new song. Each day, the student would play the song and be scored on their performance. The graph shows the results.

What was the average daily change in performance from day 16 to day 20?

Answer: D

Explanation:
The average daily change is the average rate of change over the interval from day 16 to day 20. From the graph, the performance score at day 16 is approximately 30.1, and the score at day 20 is approximately 57.6.
Use the formula
x
2
#x
1
y
2
#y
1
Substituting gives
20#16
57.6#30.1
The numerator is 27.5, and the denominator is 4, so the average daily change is 27.5/4=6.875, which rounds to 6.88. This means the performance score increased by an average of about 6.88 points per day over the interval. Therefore, the correct answer is B.


NEW QUESTION # 90
After a water tank starts leaking, the amount of water in the tank is modeled by the exponential function that is graphed.

Which statement is justified considering the location of the horizontal asymptote?

Answer: D

Explanation:
The graph shows the water volume decreasing over time.
The vertical axis represents:
" Water volume in gallons "
The horizontal axis represents:
" Time in minutes "
The graph is an exponential decay curve. It decreases quickly at first, then levels off.
From the graph, the curve approaches a horizontal value near:
y=1,000
This means the horizontal asymptote is approximately:
y=1,000
Since the graph approaches 1,000 gallons, it will not decrease to 500 gallons according to this model.
The water volume does not change by a constant rate because exponential functions do not have constant additive change. Also, the graph decreases fastest at the beginning, not later.


NEW QUESTION # 91
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?

Answer: D

Explanation:
The coefficient of determination, r
2
, measures how well a regression model fits the data. A value close to 1 indicates a strong fit, while a lower value indicates that the model does not explain the data as reliably. Here, r
2
=0.45, which is below 0.7. That means the model does not have a strong enough fit for reliable extrapolation in this question. Extrapolation means using the model to predict values outside the observed data range, which is riskier than interpolation. Because the model fit is not strong, choosing an extended range of x-values would not be appropriate. The correct reason is that extrapolation is not appropriate because r
2
< 0.7. Therefore, the answer is D.


NEW QUESTION # 92
The graph shows the number of people watching a live video. The number of minutes since the video began is on the horizontal axis, and the number of viewers is on the vertical axis. When were there 432 viewers?
Exhibit:

Answer: D

Explanation:
This problem requires reading a value from a graph. The horizontal axis gives time in minutes, and the vertical axis gives the number of viewers. To solve it, find 432 on the vertical axis, locate where the graph reaches that value, and then move down to the horizontal axis. From the exhibit, the graph reaches 432 viewers at minute 1. That means the ordered pair is approximately (1, 432), so the input is 1 minute and the output is 432 viewers. The other listed minutes correspond to different viewer counts on the graph. In graphical depictions, matching the correct input-output pair is the key step. Therefore, the correct answer is B.


NEW QUESTION # 93
The function f(n) represents the relationship between the distances traveled by two vehicles, where n is the distance traveled by vehicle A and f is the distance traveled by vehicle B. The distance traveled by vehicle B is 17 more than the distance traveled by vehicle A.
Which function represents this situation?

Answer: D


NEW QUESTION # 94
......

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