Applied-Algebra Real Testing Environment - Valid Applied-Algebra Test Labs

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WGU Applied-Algebra Exam Syllabus Topics:

Section	Objectives
Topic 1: Polynomial and Rational Expressions	- Rational Expressions 1. Simplification 2. Restrictions on variables - Polynomials 1. Factoring techniques 2. Operations with polynomials
Topic 2: Foundations of Algebra	- Equations and Inequalities 1. Linear equations in one variable 2. Inequalities and interval notation - Algebraic Expressions 1. Evaluating expressions 2. Order of operations 3. Simplifying expressions
Topic 3: Functions and Graphs	- Function Concepts 1. Function notation 2. Domain and range - Graphing Functions 1. Transformations of graphs 2. Coordinate plane interpretation
Topic 4: Exponential and Logarithmic Concepts	- Exponential Functions 1. Growth and decay models 2. Exponential equations - Logarithmic Basics 1. Conversion between exponential and logarithmic form 2. Logarithm properties
Topic 5: Linear Functions and Systems	- Systems of Equations 1. Substitution method 2. Elimination method - Linear Equations 1. Point-slope form 2. Slope-intercept form

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Valid WGU Applied-Algebra Test Labs | Applied-Algebra Real Sheets

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q14-Q19):

NEW QUESTION # 14
The number of employees under supervisor B is 13 more than the number of employees under supervisor A.
Let F(n)represent the number of employees under the two supervisors, where nis the number of employees under supervisor A and Fis the number of employees under supervisor B.
Which is the correct function to represent this relationship?

A. F(n)=n-13
B. F(n)=13n
C. F(n)=n+13
D. F(n)=n/13

Answer: C

NEW QUESTION # 15
A contractor charges a flat rate plus a fixed rate per hour to come and make repairs. For a job that takes 3 hours, the contractor charges $220. For a job that takes 5 hours, the contractor charges $340.
Which function correctly represents the total charge Cfor a job that takes thours?

A. C(t)=40t
B. C(t)=60t
C. C(t)=60t+40
D. C(t)=40t+60

Answer: C

Explanation:
The contractor charges a flat rate plus a fixed rate per hour, so this situation is modeled by a linear function:
C(t)=mt+b
where:
m= " hourly rate "
and
b= " flat rate "
We are given two points:
(3#220)
and
(5#340)
These mean:
A 3-hour job costs $220.
A 5-hour job costs $340.
First, find the hourly rate using slope:
m=(340-220)/(5-3)
m=120/2
m=60
So the contractor charges:
$60 " per hour "
Now the function has the form:
C(t)=60t+b
Use the point (3#220)to find the flat rate:
220=60(3)+b
220=180+b
b=40
So the function is:
C(t)=60t+40
Check with t=5:
C(5)=60(5)+40
C(5)=300+40
C(5)=340
This matches the given information.

NEW QUESTION # 16
The function P(t) represents the yearly profit, in millions of dollars, for a clothing store since opening. The graph of P(t) is shown.

How should the maximum value be interpreted?

A. Approximately 10.5 years after opening, a maximum yearly profit of approximately $2.25 was earned.
B. Approximately 16 years after opening, a maximum yearly profit of approximately $2.25 was earned.
C. Approximately 10.5 years after opening, a maximum yearly profit of approximately $2,250,000 was earned.
D. Approximately 16 years after opening, a maximum yearly profit of approximately $2,250,000 was earned.

Answer: C

Explanation:
The maximum value of a polynomial graph is found at the highest point of the curve. In this problem, P(t) represents yearly profit in millions of dollars, and t represents years since opening. The graph reaches its highest point at approximately t=10.5, so the maximum yearly profit occurs about 10.5 years after opening.
The vertical value at that point is about 2.25, but because the profit is measured in millions of dollars, this means 2.25 million dollars. Converting gives 2.25×1,000,000=2,250,000. Therefore, the correct interpretation must include both the correct time and the correct dollar amount. The correct answer is C.

NEW QUESTION # 17
Which statement correctly interprets u(8), given that u(t)=0.21t
3
#4.09t
2
+18.89t+69.5 represents the number of units, u, in an inventory warehouse t hours after 9:00 a.m.?

A. There are approximately 66 units in the inventory at 5:00 p.m.
B. There are approximately 160 units in the inventory at 10:00 a.m.
C. There are approximately 66 units in the inventory at 10:00 a.m.
D. There are approximately 160 units in the inventory at 5:00 p.m.

Answer: A

Explanation:
The function u(t) gives the number of units in the inventory warehouse t hours after 9:00 a.m. The expression u(8) means the value of the inventory function 8 hours after 9:00 a.m. Since 8 hours after 9:00 a.m. is 5:00 p.
m., the time must be 5:00 p.m., not 10:00 a.m. Now evaluate the function: u(8)=0.21(8)
3
#4.09(8)
2
+18.89(8)+69.5. This gives approximately 66.38, which rounds to about 66 units. Therefore, the correct interpretation is that there are approximately 66 units in the inventory at 5:00 p.m.

NEW QUESTION # 18
The graph shows the value, O, in dollars, of an investment account over time.

What represents the value of the account after 8 years?

A. $476.54
B. $2,221.12
C. $700.19
D. $1,028.81

Answer: B

Explanation:
The graph shows the total value of an investment account as time increases.
The horizontal axis represents:
" Time in years "
The vertical axis represents:
" Total value in dollars "
We need to find the value of the account after:
8 " years "
From the graph, when t=8, the curve is slightly above $2,200. The closest answer choice is:
$2,221.12
So the value of the account after 8 years is approximately:
$2,221.12
Therefore, the correct answer is:
# ( " D " )

NEW QUESTION # 19
......

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