WGU C957 PRE-ASSESSMENT: APPLIED
ALGEBRA CERTIFICATION SCRIPT 2026
QUESTIONS WITH SOLUTIONS GRADED A+
◍ brackets and parenthesis.
Answer: bracket means the number is included in the data set and
parenthesis mean the number is excluded
◍ General Trend.
Answer: A pattern of gradual change in a consistent direction, represented
by a line or curve on a graph.
◍ origin.
Answer: On a graph, the starting point where both x and y are equal to zero,
and the x-axis and the y-axis intersect.
◍ coefficient of determination.
Answer: a measure of the amount of variation in the dependent variable
about its mean that is explained by the regression equation
◍ The function C( x), modeling cell phone price versus supply, is a decreasing
logistic model (where C is the cost, and x is the number of cell phones
available) that can be seen by the graph below. What is happening at x =
100?.
Answer: The cost of the phone is decreasing faster and faster.
◍ dependent variable.
Answer: A variable that is changed by another variable (called the
independent variable); for example, when a person is purchasing gas, the
cost (the dependent variable) rises as more gas is pumped into a car's tank
(the independent variable).
,◍ A company has tracked the relationship between the number of units of an
item that sold, x, (measured in thousands) and the total revenue earned from
the item in dollars,
A. The company decided to perform an exponential regression and found
the function A( x) = 223.7 e 0.04x with r 2 = 0.76. The company uses this
model to predict that when it sells 180,000 items, its revenue will be
approximately $300,000.Is this a valid conclusion and why?.
Answer: No, an accurate prediction cannot be made when x = 180 because it
is too far from the known data values.
◍ f(x) = mx + b.
Answer: A basic common function; it means that the function of x is the
product of a constant multiplied by a variable input, x, plus another constant,
b.
◍ Polynomial's Degree.
Answer: The value of a polynomial's largest exponent, that is, if the largest
exponent in a polynomial function is 3, the polynomial is "of the third
degree".
◍ order of operations.
Answer: the inside out; 2) Exponents; 3) Multiplication and division from
left to right; 4) Addition and subtraction from left to right.
◍ A bank begins a marketing campaign to increase its number of customers.
Each month, all new customers are put into a drawing. One customer then
receives a $50 credit in a checking account.The amount of money given
away in the drawing, G, is a function of the number of months, M, the
drawing has been going on for. What is the correct function notation to
represent the amount of money given away after the drawing has been going
on for 5 months?.
Answer: G(5) = 250
◍ ordered pair.
Answer: A pair of numbers used to locate a point on a graph, written in the
form (x, y) where x is the x-coordinate and y is the y-coordinate
, ◍ Information Age.
Answer: The present time, when information is widely available to many
people through computer technology.
◍ coefficient of determination value.
Answer: Between 0 and 1. .7 and above indicates a strong fit
◍ The following graph shows the sales of two popular items a company sells
for a random sample of months. The company has chosen to fit the data with
a linear model, and r 2 = 0.82. Is the linear function a good regression model
for the data?.
Answer: Yes, the data is strongly correlated, and it has a roughly constant
rate of change.
◍ The average cost in dollars, A( x), to produce x cell phone screen covers is
given by the graph below. What happens to the average cost as more and
more covers are produced?.
Answer: The average cost reduces to about $2 per cover.
◍ A local university collects data related to its increasing enrollment for the
past 19 years. The university sees enrollment was increasing quickly but is
now leveling off. The university models this with the logistic function with r
2 = 0.96, where t is time in years, and P is enrollment in thousands at time t .
The graph of the model is given below. Would it be appropriate for the
university to use this model to predict enrollment five years from now
(when t = 24)?.
Answer: Yes, the data are strongly correlated, so this would be considered a
somewhat safe extrapolation.
◍ Minima.
Answer: The smallest amount, or lowest value, on a function's graph.
◍ output variable.
Answer: The output, represented by one or more letters, such as m or d(t),
produced by a function, based on the input variable.
ALGEBRA CERTIFICATION SCRIPT 2026
QUESTIONS WITH SOLUTIONS GRADED A+
◍ brackets and parenthesis.
Answer: bracket means the number is included in the data set and
parenthesis mean the number is excluded
◍ General Trend.
Answer: A pattern of gradual change in a consistent direction, represented
by a line or curve on a graph.
◍ origin.
Answer: On a graph, the starting point where both x and y are equal to zero,
and the x-axis and the y-axis intersect.
◍ coefficient of determination.
Answer: a measure of the amount of variation in the dependent variable
about its mean that is explained by the regression equation
◍ The function C( x), modeling cell phone price versus supply, is a decreasing
logistic model (where C is the cost, and x is the number of cell phones
available) that can be seen by the graph below. What is happening at x =
100?.
Answer: The cost of the phone is decreasing faster and faster.
◍ dependent variable.
Answer: A variable that is changed by another variable (called the
independent variable); for example, when a person is purchasing gas, the
cost (the dependent variable) rises as more gas is pumped into a car's tank
(the independent variable).
,◍ A company has tracked the relationship between the number of units of an
item that sold, x, (measured in thousands) and the total revenue earned from
the item in dollars,
A. The company decided to perform an exponential regression and found
the function A( x) = 223.7 e 0.04x with r 2 = 0.76. The company uses this
model to predict that when it sells 180,000 items, its revenue will be
approximately $300,000.Is this a valid conclusion and why?.
Answer: No, an accurate prediction cannot be made when x = 180 because it
is too far from the known data values.
◍ f(x) = mx + b.
Answer: A basic common function; it means that the function of x is the
product of a constant multiplied by a variable input, x, plus another constant,
b.
◍ Polynomial's Degree.
Answer: The value of a polynomial's largest exponent, that is, if the largest
exponent in a polynomial function is 3, the polynomial is "of the third
degree".
◍ order of operations.
Answer: the inside out; 2) Exponents; 3) Multiplication and division from
left to right; 4) Addition and subtraction from left to right.
◍ A bank begins a marketing campaign to increase its number of customers.
Each month, all new customers are put into a drawing. One customer then
receives a $50 credit in a checking account.The amount of money given
away in the drawing, G, is a function of the number of months, M, the
drawing has been going on for. What is the correct function notation to
represent the amount of money given away after the drawing has been going
on for 5 months?.
Answer: G(5) = 250
◍ ordered pair.
Answer: A pair of numbers used to locate a point on a graph, written in the
form (x, y) where x is the x-coordinate and y is the y-coordinate
, ◍ Information Age.
Answer: The present time, when information is widely available to many
people through computer technology.
◍ coefficient of determination value.
Answer: Between 0 and 1. .7 and above indicates a strong fit
◍ The following graph shows the sales of two popular items a company sells
for a random sample of months. The company has chosen to fit the data with
a linear model, and r 2 = 0.82. Is the linear function a good regression model
for the data?.
Answer: Yes, the data is strongly correlated, and it has a roughly constant
rate of change.
◍ The average cost in dollars, A( x), to produce x cell phone screen covers is
given by the graph below. What happens to the average cost as more and
more covers are produced?.
Answer: The average cost reduces to about $2 per cover.
◍ A local university collects data related to its increasing enrollment for the
past 19 years. The university sees enrollment was increasing quickly but is
now leveling off. The university models this with the logistic function with r
2 = 0.96, where t is time in years, and P is enrollment in thousands at time t .
The graph of the model is given below. Would it be appropriate for the
university to use this model to predict enrollment five years from now
(when t = 24)?.
Answer: Yes, the data are strongly correlated, so this would be considered a
somewhat safe extrapolation.
◍ Minima.
Answer: The smallest amount, or lowest value, on a function's graph.
◍ output variable.
Answer: The output, represented by one or more letters, such as m or d(t),
produced by a function, based on the input variable.
