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WGU Applied-Algebra Exam Syllabus Topics:

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

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

1. The weight of a radioactive sample is given by the function
W(x)=740× # 0.87 # ^x
where xis the time, in years, and Wis the weight of the sample, in ounces.
What is the weight of the sample when x=3?

A) 487.29oz.
B) 368.83oz.
C) 423.94oz.
D) 560.11oz.


2. 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 2012, the population was increasing by 3,740 animals per year.
B) In 2007, the population was increasing by 3.74 animals per year.
C) In 2007, the population was increasing by 3,740 animals per year.
D) In 2012, the population was increasing by 3.74 animals per year.


3. 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 B, because 6.5 > 5.5
B) Town B, because 1.3 > 1.1
C) Town A, because 1.3 > 1.1
D) Town A, because 6.5 > 5.5


4. Consider the graph of x(t) shown. The function represents the number of users, x, watching a live video t hours after 9:00 a.m.

Which interval represents a range of values for which the number of users is decreasing slower and slower?

A) t=11.6 to t=11.8
B) t=4.9 to t=9.2
C) t=6.8 to t=7.4
D) t=0.3 to t=0.8


5. The graph shows the number of trees sold by a nursery, where the number of days since the beginning of the month is along the horizontal axis and the number of trees sold per day is along the vertical axis. The greatest number of trees are sold when the temperature is over 70°F.

When was the temperature likely over 70°F?

A) The temperature was likely over 70°F on days 6 and 12.
B) The temperature was likely over 70°F on only day 2.
C) The temperature was likely over 70°F on days 2 and 10.
D) The temperature was likely over 70°F on only day 6.


Solutions:

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

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