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  • Total Questions: 144
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WGU Applied-Algebra Exam Syllabus Topics:

SectionObjectives
Topic 1: Graphical Depictions- Interpret inputs and outputs for situations
- Interpret rates of change for situations
- Interpret asymptotes for situations
- Interpret maximum and minimum for situations
- Interpret concavity for situations
Topic 2: Validity of Models- Examine utility
- Determine validity
- Determine fit
Topic 3: Functions and Algebra of Functions- Derive conclusions based on notation
- Derive conclusions based on graphs
- Derive conclusions based on data
Topic 4: Logistic Functions- Interpret rates of change for logistic functions
- Interpret asymptotes for logistic functions
- Interpret inputs and outputs for logistic functions
Topic 5: Polynomial Functions- Interpret rates of change for polynomial functions
- Interpret concavity for polynomial functions
- Interpret inputs and outputs for polynomial functions
Topic 6: Linear Functions- Interpret rates of change for linear functions
- Interpret inputs and outputs of linear functions
Topic 7: Exponential Functions- Interpret concavity for exponential functions
- Interpret rates of change for exponential functions
- Interpret inputs and outputs for exponential functions

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

Question 1

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?

A. f(n)=n#17
B. f(n)=17n
C. f(n)=n/17
D. f(n)=n+17


Question 2

The scatterplot shows data on the population of rabbits in a nature preserve. The graphed regression function has an r^2value of 0.94.

What is the appropriate range of x-values for extrapolation?

A. Extrapolation is not appropriate because r^2 > 0.7.
B. Extrapolation is not appropriate because r^2 < 1.
C. x=-4to x=28
D. x=0to x=24


Question 3

The scatterplot shows data on the number of visitors to a resort each week since opening. A regression function is graphed with r^2=0.99. The predicted number of visitors after 16.4weeks is 38.6.

Is this prediction appropriate?

A. No. The r^2value indicates a strong fit, but x=16.4is more than 50%of the range beyond the maximum value.
B. Yes. The r^2value indicates a moderate fit, and x=16.4is within 25%of the range of the maximum value.
C. Yes. The r^2value indicates a strong fit, and x=16.4is within 50%of the range of the maximum value.
D. No. The r^2value indicates a moderate fit, but x=16.4is more than 25%of the range beyond the maximum value.


Question 4

As sacks are unloaded off a wagon, the total weight of the wagon and sacks changes. Each sack has the same weight. After 3 sacks are removed, the total weight of the cart and remaining sacks is 116 pounds. After 6 sacks are removed, the total weight is 101 pounds.
What is the weight of each sack?

A. 81 pounds
B. 5 pounds
C. 18 pounds
D. 32 pounds


Question 5

A researcher collected data on the number of daily posts on a blog. The results are shown in the scatterplot.
The graphed regression function has an r
2
value of 0.89.

Is it appropriate to make a prediction for the number of daily posts after 18.6 months?

A. Yes. The r2value indicates a moderate fit, and x=18.6 is within 25% of the range of the maximum value.
B. No. The r2value indicates a moderate fit, but x=18.6 is more than 25% of the range beyond the maximum value.
C. Yes. The r2value indicates a strong fit, and x=18.6 is within 50% of the range of the maximum value.
D. No. The r2value indicates a strong fit, but x=18.6 is more than 50% of the range beyond the maximum value.


Solutions:

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

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