WGU C957 APPLIED ALGEBRA FINAL
EXAM QUESTIONS
2025/2026 WITH CORRECT DETAILED
ANSWERS ALREADY GRADED A+
<RECENT VERSION>
1. Asymptote - ANSWER a horizontal, vertical, or slanted line that a graph
approaches but never touches
2. Coefficient of determination - ANSWER A statistic that measures how
well a regression prediction approximates the real data points. An r^2 of 1
indicates that the regression prediction is a perfect fit for the data
3. Common ratio - ANSWER The number by which each term in a sequence
is multiplied to find the next number in the sequence; for example 4 is the
common ratio for the sequence [1, 4, 16, 64, 256...]
4. Constant ratio - ANSWER Occurs when the numeric relationship between
two quantities- that is, how many times one number contains the second-
remains unchanged over time
5. Data regression - ANSWER The process of examining data points to
determine a valid equation. "Regression" refers to bringing different data
points down toward a normal average- "regressing" them
,6. Equation - ANSWER A mathematical sentence that contains an equals
sign.
7. Explanatory variable - ANSWER A variable that, as it changes, affects
another variable (called the response variable); for example, as a person
pumps more gas into a car's tank(the explanatory variable), the cost of the
purchase rises (the response variable)
8. Exponent - ANSWER A mathematical notation indicating the number of
times a quantity is multiplied by itself.
9. Exponential function - ANSWER a function of the form f(x) = ab^x,
where a and b are real numbers with a ≠ 0, b>0, and b ≠ 1
10.Extrapolation - ANSWER the act of estimation by projecting known
information
11.f(x)=mx+b - ANSWER linear function
12.f(x) = mx - ANSWER A very basic function
13.Function - ANSWER A relation based on a set of inputs and a set of
possible outputs where each input is related to exactly one output
,14.Function notation - ANSWER a way to name a function that is defined by
an equation
15.Global Maximum - ANSWER Finds the highest y-number the function
goes to
16.Global minimum - ANSWER Finds the lowest y-number the function
goes to
17.Horizontal Asymptote - ANSWER a horizontal line that the curve
approaches but never reaches
18.Inequality - ANSWER A mathematical sentence that shows the
relationship between quantities that are not equivalent
19.Inflection point - ANSWER The point on a curve at which the curve's
concavity changes; also called the point of inflection
20.Input-output pairs - ANSWER The representation of an input value and
an output value as an ordered pair, written (x,y)
21.Interpolation - ANSWER A method of inserting new data points in the
range of a known set of data points
22.Interrelated causality - ANSWER An output produced by the interaction
of several connected, or related, inputs
, 23.Interval - ANSWER A range of numbers that includes all the real
numbers between its endpoints
24.Inverse - ANSWER opposite
25.Inverse function - ANSWER a function that "undoes" what the original
function does
26.Least-squares regression method - ANSWER uses all of the data to
separate a mixed cost into its fixed and variable components
27.Linear function - ANSWER A function whose graph is a straight line.
28.Linear regression - ANSWER an algorithm to find a precise line of fit for
a set of data
29.Logistic function - ANSWER A function that produces an s-shaped curve
and contains two asymptotes
30.Moore's Law - ANSWER the observation that computing power roughly
doubles every two years.
31.Multivariate - ANSWER involving more than two variables
EXAM QUESTIONS
2025/2026 WITH CORRECT DETAILED
ANSWERS ALREADY GRADED A+
<RECENT VERSION>
1. Asymptote - ANSWER a horizontal, vertical, or slanted line that a graph
approaches but never touches
2. Coefficient of determination - ANSWER A statistic that measures how
well a regression prediction approximates the real data points. An r^2 of 1
indicates that the regression prediction is a perfect fit for the data
3. Common ratio - ANSWER The number by which each term in a sequence
is multiplied to find the next number in the sequence; for example 4 is the
common ratio for the sequence [1, 4, 16, 64, 256...]
4. Constant ratio - ANSWER Occurs when the numeric relationship between
two quantities- that is, how many times one number contains the second-
remains unchanged over time
5. Data regression - ANSWER The process of examining data points to
determine a valid equation. "Regression" refers to bringing different data
points down toward a normal average- "regressing" them
,6. Equation - ANSWER A mathematical sentence that contains an equals
sign.
7. Explanatory variable - ANSWER A variable that, as it changes, affects
another variable (called the response variable); for example, as a person
pumps more gas into a car's tank(the explanatory variable), the cost of the
purchase rises (the response variable)
8. Exponent - ANSWER A mathematical notation indicating the number of
times a quantity is multiplied by itself.
9. Exponential function - ANSWER a function of the form f(x) = ab^x,
where a and b are real numbers with a ≠ 0, b>0, and b ≠ 1
10.Extrapolation - ANSWER the act of estimation by projecting known
information
11.f(x)=mx+b - ANSWER linear function
12.f(x) = mx - ANSWER A very basic function
13.Function - ANSWER A relation based on a set of inputs and a set of
possible outputs where each input is related to exactly one output
,14.Function notation - ANSWER a way to name a function that is defined by
an equation
15.Global Maximum - ANSWER Finds the highest y-number the function
goes to
16.Global minimum - ANSWER Finds the lowest y-number the function
goes to
17.Horizontal Asymptote - ANSWER a horizontal line that the curve
approaches but never reaches
18.Inequality - ANSWER A mathematical sentence that shows the
relationship between quantities that are not equivalent
19.Inflection point - ANSWER The point on a curve at which the curve's
concavity changes; also called the point of inflection
20.Input-output pairs - ANSWER The representation of an input value and
an output value as an ordered pair, written (x,y)
21.Interpolation - ANSWER A method of inserting new data points in the
range of a known set of data points
22.Interrelated causality - ANSWER An output produced by the interaction
of several connected, or related, inputs
, 23.Interval - ANSWER A range of numbers that includes all the real
numbers between its endpoints
24.Inverse - ANSWER opposite
25.Inverse function - ANSWER a function that "undoes" what the original
function does
26.Least-squares regression method - ANSWER uses all of the data to
separate a mixed cost into its fixed and variable components
27.Linear function - ANSWER A function whose graph is a straight line.
28.Linear regression - ANSWER an algorithm to find a precise line of fit for
a set of data
29.Logistic function - ANSWER A function that produces an s-shaped curve
and contains two asymptotes
30.Moore's Law - ANSWER the observation that computing power roughly
doubles every two years.
31.Multivariate - ANSWER involving more than two variables
