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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Systems of Equations and Inequalities | 15% | - Applications of systems - Solving by substitution and elimination - Graphical solutions |
| Graphing and Functions | 25% | - Coordinate plane and plotting points - Function notation and evaluation - Slope and equations of lines - Linear functions and their graphs |
| Linear Equations and Inequalities | 25% | - Solving and graphing inequalities - Solving single-variable equations - Real-world applications |
| Exponents, Radicals, and Quadratic Relationships | 15% | - Basic quadratic graphs - Simplifying radical expressions - Properties of exponents - Solving quadratic equations |
| Algebraic Expressions and Operations | 20% | - Operations with polynomials - Simplifying and evaluating expressions - Variables, constants, and coefficients - Order of operations |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. 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) Extrapolation is not appropriate because r
2
< 0.7.
B) Extrapolation is not appropriate because r
2
< 1.
C) x=3 to x=21
D) x=0 to x=24
2. 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?
A) 6.88
B) 1.38
C) 43.86
D) 27.5
3. The population of fish in a lake is changing according to the function P(t)=31t+438, where t is 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 decreasing at a constant rate of 438 fish per month.
B) The number of fish in the lake is increasing at a constant rate of 438 fish per month.
C) The number of fish in the lake is increasing at a constant rate of 31 fish per month.
D) The number of fish in the lake is decreasing at a constant rate of 31 fish per month.
4. The data in the scatterplot represents the number of monthly train crossings at a particular intersection over time.
Which type of function should be used to model the data?
A) Exponential
B) Polynomial
C) Linear
D) Logistic
5. The exponential function
f(t)=2900(1.13)
t
represents the size of a bacteria population, where t is the time in hours.
How many bacteria are in the population when t=18?
A) 23,160
B) 26,170
C) 29,573
D) 20,495
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: A | Question # 3 Answer: C | Question # 4 Answer: A | Question # 5 Answer: B |






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