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WGU Applied-Algebra Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Systems of Equations and Inequalities | 15% | - Solving by substitution and elimination - Graphical solutions - Applications of systems |
| Topic 2: Graphing and Functions | 25% | - Slope and equations of lines - Coordinate plane and plotting points - Linear functions and their graphs - Function notation and evaluation |
| Topic 3: Linear Equations and Inequalities | 25% | - Real-world applications - Solving and graphing inequalities - Solving single-variable equations |
| Topic 4: Algebraic Expressions and Operations | 20% | - Operations with polynomials - Variables, constants, and coefficients - Simplifying and evaluating expressions - Order of operations |
| Topic 5: Exponents, Radicals, and Quadratic Relationships | 15% | - Simplifying radical expressions - Solving quadratic equations - Basic quadratic graphs - Properties of exponents |
WGU Applied Algebra FXO2 PFXP C957 Sample Questions:
Question #1
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. In the long run, the number of licensed sellers nears 100.
B. The number of licensed sellers was initially 700.
C. After 11 months, the number of licensed sellers decreased to 100.
D. Over time, the number of licensed sellers will increase back up to 700.
Question #2
The scatterplot shows data on the population of rabbits in a nature preserve. The graphed regression function has an r^2value of 0.94.
What is the appropriate range of x-values for extrapolation?
A. x=0to x=24
B. x=-4to x=28
C. Extrapolation is not appropriate because r^2 < 1.
D. Extrapolation is not appropriate because r^2 > 0.7.
Question #3
The function P(t)represents the yearly profit, in millions of dollars, for a streaming service since opening. The graph of P(t)is shown.
What is the correct interpretation of the maximum value?
A. Approximately 10.5 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
B. Approximately 22 years after opening, a maximum yearly profit of approximately $235,000was earned.
C. Approximately 22 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
D. Approximately 10.5 years after opening, a maximum yearly profit of approximately $235,000was earned.
Question #4
The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.
Which town's population is growing at a faster rate?
A. Town A, because 1.6 > 0.9
B. Town B, because 1.6 > 0.9
C. Town B, because 8.0 > 6.5
D. Town A, because 8.0 > 6.5
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. Extrapolation is not appropriate because r
2
> 0.7.
B. x=2.5 to x=17.5
C. x=0 to x=20
D. Extrapolation is not appropriate because r
2
< 1.
Solutions:
| Question #1 Correct Answer: A | Question #2 Correct Answer: A | Question #3 Correct Answer: A | Question #4 Correct Answer: B | Question #5 Correct Answer: B |




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