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WGU Applied-Algebra Exam Syllabus Topics:

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

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. A company provides internet service to approximately 1,050 customers each year. The table shows the percentage of customers with fiber internet each year since 2020.
Years since 2020 Percent of Customers with Fiber
0 19
1 28
2 40
3 57
What was the approximate number of customers with fiber internet in 2023?

A) 630
B) 452
C) 598
D) 420


2. A recipe calls for a constant ratio of water and lemon juice. The graph shows the relationship between the amounts of these two ingredients, where wis the volume of water and lis the volume of lemon juice.

What is the correct interpretation of the rate of change?

A) The amount of lemon juice must be 5/8of the amount of water.
B) The amount of lemon juice must be the amount of water plus 8/5.
C) The amount of lemon juice must be the amount of water plus 5/8.
D) The amount of lemon juice must be 8/5of the amount of water.


3. The value of a painting is represented by the function
f(x)=330× # 1.04 # ^x
In this function, xrepresents the number of years since 2004, and f(x)represents the value of the painting in dollars.
Which value represents the average yearly rate of change of the painting ' s value from 2013 to 2018?

A) 45.27
B) 520.57
C) 20.35
D) 101.76


4. 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) 2001 to 2003
C) 2013 to 2021
D) 2005 to 2019


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


Solutions:

Question # 1
Answer: C
Question # 2
Answer: A
Question # 3
Answer: C
Question # 4
Answer: C
Question # 5
Answer: A

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