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WGU Applied Algebra Exam Questions
- Topic 1: Algebraic Expressions and Operations: Covers simplifying, evaluating, and solving algebraic expressions and equations using basic algebraic rules and operations.
- Topic 2: Linear Equations and Inequalities: Focuses on solving linear equations and inequalities and interpreting their meaning in real-world situations.
- Topic 3: Functions and Graphs: Explains how to analyze functions, interpret graphs, and understand relationships between variables.
- Topic 4: Exponential and Polynomial Models: Covers working with exponential and polynomial equations to model growth, decay, and other mathematical patterns.
- Topic 5: Applied Algebra Problem Solving: Focuses on applying algebra concepts to practical scenarios, including data interpretation and mathematical decision-making.
Free WGU Applied Algebra Exam Actual Questions
Note: Premium Questions for Applied Algebra were last updated On Jul. 09, 2026 (see below)
The growth of an animal population is shown in the graph. The instantaneous rate of change at point is .
Which interpretation of the instantaneous rate of change is correct?
The graph shows population in thousands, and the horizontal axis represents:
Point is located at approximately:
Since represents years since 1995:
So point corresponds to the year:
The instantaneous rate of change at point is:
Because the vertical axis is measured in thousands, this means:
Convert thousands to actual animals:
So in 2007, the population was increasing by approximately:
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?
This question asks which town's population is growing at a faster rate.
Since both population graphs are straight lines, we compare their slopes.
The slope of a line represents the rate of change:
From the graph:
Town A starts at about thousand people and increases at a rate of about thousand people per year.
Town B starts at about thousand people and increases at a rate of about thousand people per year.
Even though Town A starts with a larger population, the question asks about the growth rate, not the starting population.
Compare the rates:
So Town B is growing faster than Town A.
The number of letters processed daily at a mail center is modeled by the decreasing exponential function shown in the graph.
What is the long-term trend in the number of letters processed per day, based on the equation of the horizontal asymptote?
The graph shows a decreasing exponential function.
In Applied Algebra, a decreasing exponential function may approach a fixed value over time. This fixed value is called the horizontal asymptote.
The horizontal asymptote represents the long-term value that the function gets closer and closer to, but does not necessarily cross or reach exactly.
From the graph, the curve decreases quickly at first, then begins to level off near:
This means that as time continues, the number of letters processed per day approaches:
So the long-term trend is that the mail center will process about:
The graph shows the daily practice duration for a musician, where the number of days since the beginning of the month is along the horizontal axis and the number of minutes practiced per day is along the vertical axis.
What was the practice duration for day 9, based on the graph?
This question asks us to read and interpret a value from a graph.
The horizontal axis represents:
The vertical axis represents:
We need to find the practice duration for:
To do this, locate on the horizontal axis, move upward to the blue graph, and then read the corresponding value on the vertical axis.
From the graph, the point at day is approximately:
So the musician practiced for:
The number of people auditioning for a game show is expected to be 3 less than the number of people who auditioned last year. The function can be used to model the situation, where represents the number of people who auditioned last year and represents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 280 people auditioned last year?
The function represents the number of people expected to audition this year.
The input represents the number of people who auditioned last year.
The problem says this year's number is expected to be 3 less than last year's number. Therefore, the function rule is:
We are told that 280 people auditioned last year, so:
Substitute into the function:
So, the notation that represents the number of people expected to audition this year is:
This means if 280 people auditioned last year, then 277 people are expected to audition this year.
Therefore, the correct answer is:
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Valentina Petit
19 days ago