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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Exponents, Radicals, and Quadratic Relationships | 15% | - Solving quadratic equations - Basic quadratic graphs - Simplifying radical expressions - Properties of exponents |
| Topic 2: Algebraic Expressions and Operations | 20% | - Order of operations - Variables, constants, and coefficients - Operations with polynomials - Simplifying and evaluating expressions |
| Topic 3: Graphing and Functions | 25% | - Linear functions and their graphs - Function notation and evaluation - Coordinate plane and plotting points - Slope and equations of lines |
| Topic 4: Systems of Equations and Inequalities | 15% | - Applications of systems - Graphical solutions - Solving by substitution and elimination |
| Topic 5: Linear Equations and Inequalities | 25% | - Solving single-variable equations - Solving and graphing inequalities - Real-world applications |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
1. The function F(n) represents the relationship between the number of animals in two enclosures, where n is the number of animals in enclosure A and F is the number of animals in enclosure B. The number of animals in enclosure B is 20 more than the number of animals in enclosure A.
Which function represents this situation?
A) F(n)=n/20
B) F(n)=n#20
C) F(n)=n+20
D) F(n)=20n
2. 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) Over time, the number of licensed sellers will increase back up to 700.
B) After 11 months, the number of licensed sellers decreased to 100.
C) In the long run, the number of licensed sellers nears 100.
D) The number of licensed sellers was initially 700.
3. The traffic flow on a roadway after 8:00 a.m. is modeled by the graphed exponential function.
Which conclusion is valid, based on the horizontal asymptote?
A) The rate of traffic flow changes by a constant rate over time.
B) The traffic flow changes the most after the first 4 hours.
C) The traffic flow will not decrease to 0 vehicles per hour.
D) The traffic flow will change by a constant rate over time.
4. The value of a collectible artifact is represented by the function
f(x)=330× # 1.15 # ^x
In this function, xrepresents the number of years since 2005, and f(x)represents the value of the artifact, in dollars.
Which value represents the average yearly rate of change of the value of the artifact from 2006 to 2011?
A) 571.41
B) 76.76
C) 383.81
D) 163.26
5. The value of a collectible coin can be modeled by F(t), where t represents years since the number of years since the coin was found, and the vertical axis represents the value, in thousands of dollars.
How is the value of the coin changing over time based on the graph?
A) The value of the coin is increasing slower and slower.
B) The value of the coin is decreasing slower and slower.
C) The value of the coin is increasing faster and faster.
D) The value of the coin is decreasing faster and faster.
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: C | Question # 3 Answer: C | Question # 4 Answer: B | Question # 5 Answer: C |


