WGU C957 APPLIED ALGEBRA OA EXAM 2025/2026 |
ACTUAL REAL EXAM QUESTIONS AND ANSWERS WITH
STUDY GUIDE | VERIFIED AND ACCURATE FOR
GUARANTEED PASS | GRADED A
The number of customers, N, in a store t hours after midnight is given
by the function:
N(t)= -t^2 + 28t - 171
How many customers will be in the store at 4pm? - ----Answers---
N(t)= -t^2 + 28t - 171
-(16^2) + (28 x 16) - 171
*Note: work the exponent, but the number needs to be negative for
the equation to work. The negative does not square.
Function Notation - ----Answers---F(x)
F: Output
(x): Input
F(a)= b
F and b: Output
C(state)= Capital
Example: C(Utah)= Salt Lake City
(input, Output)
Page 1 of 23
,Example: (Utah, Salt Lake City)
On a graph, the input will be the horizontal X axis
On a graph, the output will be the vertical Y axis
Rate of Change - ----Answers---y2-y1
------
x2-x1
Independent vs. Dependent - ----Answers---The cause is the
independent variable (the time on a bike = independent)
The Dependent variable is the effect (Calories burnt depends on how
much time spent on the bike = dependent)
C(m)
C(50)=450
C= calories burnt-output
(50)= time on the bike-input
450= total calories burnt-output
What is a variable? - ----Answers---In math, things that change are
called variables, and they are often used in equations. And to be clear,
when something is called a variable, it means that it either changes
frequently or changes from person to person. Variables are usually
represented by a letter, like t for time, n for number, c for color, or r
for revenue. Letters just make variables easier to work with.
Page 2 of 23
, Which choice is a variable?
-The amount a teenager makes babysitting
-The cost of your daily newspaper
-The number of states in the United States of America
-Your shoe size - ----Answers----The amount a teenager makes
babysitting
Correct! A teenager probably charges the same amount per hour but
makes more if the job lasts longer, like all day.
Which choice is a variable?
-The operating system on your phone
-The colors and styles of your shoes
-The amount a babysitter charges per hour
-The name of the largest mountain range in the United States - ----
Answers----The colors and styles of your shoes
Correct! Size may always be the same, but color and style certainly
vary.
What are qualitative variables? - ----Answers---These are things with
qualities that vary. Responses to qualitative variables are words or
qualities that describe an item. In this example, the sizes and the
colors of the shirts would be qualitative variables, and they would be
worth knowing if, for instance, Halloween were approaching and
suddenly sales of orange and black shirts increased sharply. As you
can see, both quantitative and qualitative variables are important.
Page 3 of 23
ACTUAL REAL EXAM QUESTIONS AND ANSWERS WITH
STUDY GUIDE | VERIFIED AND ACCURATE FOR
GUARANTEED PASS | GRADED A
The number of customers, N, in a store t hours after midnight is given
by the function:
N(t)= -t^2 + 28t - 171
How many customers will be in the store at 4pm? - ----Answers---
N(t)= -t^2 + 28t - 171
-(16^2) + (28 x 16) - 171
*Note: work the exponent, but the number needs to be negative for
the equation to work. The negative does not square.
Function Notation - ----Answers---F(x)
F: Output
(x): Input
F(a)= b
F and b: Output
C(state)= Capital
Example: C(Utah)= Salt Lake City
(input, Output)
Page 1 of 23
,Example: (Utah, Salt Lake City)
On a graph, the input will be the horizontal X axis
On a graph, the output will be the vertical Y axis
Rate of Change - ----Answers---y2-y1
------
x2-x1
Independent vs. Dependent - ----Answers---The cause is the
independent variable (the time on a bike = independent)
The Dependent variable is the effect (Calories burnt depends on how
much time spent on the bike = dependent)
C(m)
C(50)=450
C= calories burnt-output
(50)= time on the bike-input
450= total calories burnt-output
What is a variable? - ----Answers---In math, things that change are
called variables, and they are often used in equations. And to be clear,
when something is called a variable, it means that it either changes
frequently or changes from person to person. Variables are usually
represented by a letter, like t for time, n for number, c for color, or r
for revenue. Letters just make variables easier to work with.
Page 2 of 23
, Which choice is a variable?
-The amount a teenager makes babysitting
-The cost of your daily newspaper
-The number of states in the United States of America
-Your shoe size - ----Answers----The amount a teenager makes
babysitting
Correct! A teenager probably charges the same amount per hour but
makes more if the job lasts longer, like all day.
Which choice is a variable?
-The operating system on your phone
-The colors and styles of your shoes
-The amount a babysitter charges per hour
-The name of the largest mountain range in the United States - ----
Answers----The colors and styles of your shoes
Correct! Size may always be the same, but color and style certainly
vary.
What are qualitative variables? - ----Answers---These are things with
qualities that vary. Responses to qualitative variables are words or
qualities that describe an item. In this example, the sizes and the
colors of the shirts would be qualitative variables, and they would be
worth knowing if, for instance, Halloween were approaching and
suddenly sales of orange and black shirts increased sharply. As you
can see, both quantitative and qualitative variables are important.
Page 3 of 23
