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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Systems of Equations and Inequalities | 15% | - Applications of systems - Solving by substitution and elimination - Graphical solutions |
| Topic 2: Exponents, Radicals, and Quadratic Relationships | 15% | - Solving quadratic equations - Simplifying radical expressions - Properties of exponents - Basic quadratic graphs |
| Topic 3: Graphing and Functions | 25% | - Linear functions and their graphs - Coordinate plane and plotting points - Slope and equations of lines - Function notation and evaluation |
| Topic 4: Algebraic Expressions and Operations | 20% | - Order of operations - Simplifying and evaluating expressions - Operations with polynomials - Variables, constants, and coefficients |
| Topic 5: Linear Equations and Inequalities | 25% | - Solving single-variable equations - Real-world applications - Solving and graphing inequalities |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
Question 1
The figure shows the graph of p(t), which represents the number of people, p, at a gym thours after 7:00 a.m.
How should the concavity between t=1.3and t=3.4be interpreted?
A. The number of people is increasing faster and faster.
B. The number of people is decreasing slower and slower.
C. The number of people is decreasing faster and faster.
D. The number of people is increasing slower and slower.
Question 2
Based on collected data, the number of employees at a firm can be modeled using the function f(x)=10× # 1.09 # ^x whose graph is shown, where xrepresents the number of years since 2001 and f(x)represents the number of employees, in thousands.
Which time period has the fastest average increase in the number of employees?
A. 2001 to 2016
B. 2013 to 2021
C. 2005 to 2019
D. 2001 to 2003
Question 3
Consider the graph of h(t) shown. The function represents the height, h, in feet, of a ball t seconds after being launched.
What is the point, if any, at which the concavity changes from concave down to concave up?
A. The graph is always concave down.
B. At t=1.41
C. The graph is always concave up.
D. At t=0.705
Question 4
The given function represents the price of a commodity, p, in dollars, based on the number of months, m, since the beginning of 2020.
p(m)=5m+5
What is the average rate of change of the price over the interval m=1to m=10?
A. 45
B. 5
C. 5.91
D. 32.5
Question 5
The graph shows the weekly profit in hundreds of dollars for a coffee shop. The horizontal axis represents the number of years since the coffee shop opened.
What is the correct interpretation of the minimum value?
A. Approximately 13 years after opening, a minimum weekly profit of approximately $990was earned.
B. Approximately 6 years after opening, a minimum weekly profit of approximately $990was earned.
C. Approximately 13 years after opening, a minimum weekly profit of approximately $4,630was earned.
D. Approximately 6 years after opening, a minimum weekly profit of approximately $4,630was earned.
Solutions:
| Question 1 Answer: D | Question 2 Answer: B | Question 3 Answer: A | Question 4 Answer: B | Question 5 Answer: B |








