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WGU Applied-Algebra Exam Syllabus Topics:

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

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

Question 1

The function P(t)represents the daily profit, in hundreds of dollars, for a museum since opening. The graph of P(t)is shown.

What is the correct interpretation of the maximum value?

A. Approximately 20 years after opening, a maximum daily profit of approximately $1,650was earned.
B. Approximately 9.5 years after opening, a maximum daily profit of approximately $299was earned.
C. Approximately 9.5 years after opening, a maximum daily profit of approximately $1,650was earned.
D. Approximately 20 years after opening, a maximum daily profit of approximately $299was earned.


Question 2

The population of fish in a lake is changing according to the function
P(t)=24t+185
where tis 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 24 fish per month.
B. The number of fish in the lake is decreasing at a constant rate of 185 fish per month.
C. The number of fish in the lake is increasing at a constant rate of 24 fish per month.
D. The number of fish in the lake is increasing at a constant rate of 185 fish per month.


Question 3

The number of people auditioning for a game show is expected to be 4 times the number of people who auditioned last year. The function A(t) can be used to model the situation, where t represents the number of people who auditioned last year and A represents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 330 people auditioned last year?

A. A(82)=330
B. A(330)=82
C. A(330)=1,320
D. A(1,320)=330


Question 4

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 6 years after opening, a minimum weekly profit of approximately $990was earned.
B. Approximately 13 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.


Question 5

A researcher collected data on the number of books donated per month to a thrift store over time. The results are shown in the scatterplot. A regression function is graphed with r
2
=0.99.

Which range of x-values is appropriate for extrapolation?

A. x=0 to x=20
B. x=2.5 to x=17.5
C. Extrapolation is not appropriate because r
2
> 0.7.
D. Extrapolation is not appropriate because r
2
< 1.


Solutions:

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

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