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WGU Applied-Algebra Exam Syllabus Topics:

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

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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q100-Q105):

NEW QUESTION # 100
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. $711.28
B. $584.62
C. $1,052.87
D. $480.52

Answer: C

Explanation:
The graph represents the value of an investment account over time. The horizontal axis gives time in years, and the vertical axis gives the total account value in dollars. To find the value after 4 years, locate x=4 on the horizontal axis and read the corresponding G(x)-value on the graph. The plotted exponential growth curve is slightly above $1,000 at 4 years, closest to $1,052.87. Because the graph shows an increasing exponential trend, values such as $480.52, $584.62, and $711.28 are too low for the account value at x=4. The correct interpretation is that after 4 years, the investment account is worth approximately $1,052.87. Therefore, the correct answer is D.

NEW QUESTION # 101
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. Over time, the number of licensed sellers will increase back up to 700.
B. In the long run, the number of licensed sellers nears 100.
C. The number of licensed sellers was initially 700.
D. After 11 months, the number of licensed sellers decreased to 100.

Answer: B

Explanation:
The graph shows a decreasing exponential model.
The vertical axis represents:
" Licensed sellers "
The horizontal axis represents:
" Time in years "
The graph starts near 700 licensed sellers and decreases over time. However, it does not appear to decrease all the way to 0. Instead, it levels off near:
y=100
That horizontal line is the horizontal asymptote.
A horizontal asymptote represents the long-term value the function approaches as time continues.
So the correct interpretation is:
" In the long run, the number of licensed sellers nears 100. "
Therefore, the correct answer is:
# ( " C " )

NEW QUESTION # 102
The value of a collectible coin can be modeled by F(t), where t represents years since the number of years since the coin was found, and the vertical axis represents the value, in thousands of dollars.

How is the value of the coin changing over time based on the graph?

A. The value of the coin is increasing faster and faster.
B. The value of the coin is decreasing faster and faster.
C. The value of the coin is decreasing slower and slower.
D. The value of the coin is increasing slower and slower.

Answer: A

Explanation:
The graph shows the value of the coin increasing over time. Since the curve rises from left to right, the value is not decreasing. The graph also becomes steeper as time increases, which means the rate of increase is getting larger. In Applied Algebra, when a graph is increasing and its slope is increasing, the quantity is described as increasing faster and faster. This is typical of exponential growth, where values grow by a repeated percent or factor rather than by a constant amount. The choices involving decreasing are incorrect because the graph moves upward. The choice "increasing slower and slower" would require the graph to flatten, which it does not. Therefore, the correct answer is B.

NEW QUESTION # 103
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 2 and 10.
B. The temperature was likely over 70°F on only day 2.
C. The temperature was likely over 70°F on days 6 and 12.
D. The temperature was likely over 70°F on only day 6.

Answer: A

Explanation:
The problem states that the greatest number of trees are sold when the temperature is over 70°F. Therefore, we need to identify the days on the graph when tree sales are highest. The graph shows two major peaks in the number of trees sold per day. These peaks occur around day 2 and day 10. Since higher tree sales are linked to temperatures over 70°F, those two days are the most likely days when the temperature exceeded 70°F. Day 6 appears near a low point, so it is not likely associated with high temperature based on the given relationship.
Day 12 also does not match the main peaks. Therefore, the correct answer is C.

NEW QUESTION # 104
The number of property sales in a region this year is expected to be 8 times the number of property sales in the region last year. The function H(x)represents the number of property sales this year, where xrepresents the number of properties sold last year.
Which notation represents the number of property sales this year, given that the number of properties sold last year was 360?

A. H(45)=360
B. H(360)=45
C. H(2,880)=360
D. H(360)=2,880

Answer: D

Explanation:
We are told that the number of property sales this year is expected to be 8 times the number of property sales last year.
Let:
x= " number of properties sold last year "
and
H(x)= " number of property sales this year "
Since this year's sales are 8 times last year's sales, the function rule is:
H(x)=8x
The question says that last year's property sales were:
x=360
Substitute 360into the function:
H(360)=8(360)
H(360)=2,880
So the correct notation is:
H(360)=2,880
This means: if 360 properties were sold last year, then 2,880 property sales are expected this year.
Therefore, the correct answer is:
# ( " C " )

NEW QUESTION # 105
......

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