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WGU Applied-Algebra Exam Syllabus Topics:

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

WGU Applied Algebra FXO2 PFXP C957 Sample Questions:

Question 1

The exponential function
f(t)=2900(1.13)
t
represents the size of a bacteria population, where t is the time in hours.
How many bacteria are in the population when t=18?

A. 20,495
B. 26,170
C. 29,573
D. 23,160

Question 2

The number of new user accounts per day on a website is modeled by a decreasing exponential function. The graph of the function is shown.

Which statement is justified considering the location of the horizontal asymptote?

A. The greatest number of daily new user accounts occurs after 10 months.
B. The number of daily new user accounts will not decrease to 0.
C. The number of daily new user accounts changes the most after the first 5 months.
D. The number of daily new user accounts will change by a constant rate over time.

Question 3

The population of fish in a lake is changing according to the function
P(t)=24t+185
where tis the number of months since the beginning of the year and P(t)is the fish population at time t.
Which interpretation of the rate of change is correct?

A. The number of fish in the lake is decreasing at a constant rate of 185 fish per month.
B. The number of fish in the lake is decreasing at a constant rate of 24 fish per month.
C. The number of fish in the lake is increasing at a constant rate of 24 fish per month.
D. The number of fish in the lake is increasing at a constant rate of 185 fish per month.

Question 4

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

Question 5

The number of people, P, in a festival audience is represented by the graph, with the number of hours since the beginning of the festival along the horizontal axis and the size of the audience along the vertical axis.

Point Arepresents an audience size of 402 for the first hour of the festival, or P(0)=402.
Which ordered pair represents a point on the graph?