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WGU Applied-Algebra Exam Syllabus Topics:

SectionWeightObjectives
Topic 1: Graphing and Functions25%- Slope and equations of lines
- Linear functions and their graphs
- Function notation and evaluation
- Coordinate plane and plotting points
Topic 2: Algebraic Expressions and Operations20%- Variables, constants, and coefficients
- Simplifying and evaluating expressions
- Order of operations
- Operations with polynomials
Topic 3: Exponents, Radicals, and Quadratic Relationships15%- Solving quadratic equations
- Simplifying radical expressions
- Basic quadratic graphs
- Properties of exponents
Topic 4: Linear Equations and Inequalities25%- Solving and graphing inequalities
- Real-world applications
- Solving single-variable equations
Topic 5: Systems of Equations and Inequalities15%- Graphical solutions
- Applications of systems
- Solving by substitution and elimination

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

Question 1

The growth of an animal population is shown in the graph. The instantaneous rate of change at point Pis 3.74.

Which interpretation of the instantaneous rate of change is correct?

A. In 2007, the population was increasing by 3,740 animals per year.
B. In 2012, the population was increasing by 3.74 animals per year.
C. In 2012, the population was increasing by 3,740 animals per year.
D. In 2007, the population was increasing by 3.74 animals per year.


Question 2

The data in the scatterplot represents the number of monthly train crossings at a particular intersection over time.

Which type of function should be used to model the data?

A. Linear
B. Exponential
C. Logistic
D. Polynomial


Question 3

The graphed function v(t) represents the number of vehicles, v, stopped at a toll booth t hours after 6:00 a.m.
The coordinates of points A and B are (1,49.4) and (4,45.8), respectively.

What is the average rate of change of the number of vehicles from point A to point B?

A. -1.2
B. -3.6
C. 19.04
D. 47.6


Question 4

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


Question 5

An investment account accrues interest every year, and the value of the account is given by G(x). The graph of this function is shown.

What represents the value of the account after 4 years?

A. $584.62
B. $480.52
C. $711.28
D. $1,052.87


Solutions:

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

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