WGU C957 PRE-ASSESSMENT: APPLIED
ALGEBRA ACTUAL EXAM PAPER 2026
QUESTIONS WITH ANSWERS GRADED A+
◍ Given the function F(x)=−3x+15 , what is the value of F(2) ? -921149.
Answer: 9Correct! F(2)=−3(2)+15=−6+15=9
◍ The number of years someone regularly deposits money in a savings
account is related to the amount of money in the account. T/F.
Answer: T
◍ The height, in feet, of an arrow shot straight upward from the ground is
given by h(t)=−16t2+48t. After 1 second (t = 1), the height is 32 feet. At 3
seconds (t = 3) the height is 0 feet. What is the average rate of change over
the interval [1, 3]? -48 feet per second48 feet per second 16 feet per
second-16 feet per second.
Answer: -16 feet per second 0-32/3-2=-32/2=-16Correct! The coordinates
needed are (1, 32) and (3, 0). Plugging these coordinates into the slope
formula will result in -16.
◍ The function f(t)=33(0.5)t represents 33 grams of a given chemical with a
half-life of 8 hours. What factor creates a natural asymptote in this situation?
The number of grams of the chemicalThe starting amount of 33 gramsThe
growth rate of 0.5The growth period of 8 hours.
Answer: The number of grams of the chemicalCorrect! The amount of
chemical will tend toward zero as time goes on.
◍ The exponential function k(x) represents the value of a smartphone x
months after purchase. It is given that k(3)=400 and k(10)=316. What is the
average rate of change in words?.
Answer: From 3 months after purchase until 10 months after purchase, the
, value of the phone decreased by an average of $12 per month.
◍ You are an IT manager with six people on your team. Each team member
works 40 guaranteed hours a week. If a new software tool or platform is
rolled out, more help is needed for customer support, and your team
members may work a few hours of overtime. Which of the following
choices listed is a variable? Forty guaranteed hours of workThe number of
overtime hours Six team members Providing customer support.
Answer: The number of overtime hours Correct! The number of overtime
hours can vary week to week.
◍ Norman is responsible for converting incoming foreign profits to American
currency. On a given day, Norm knows that one
U. S. dollar is equivalent to 0.8 euro. Of the two possible functions in this
scenario, identify the input and output variables of the function that should
most logically be labeled the original function, and write the corresponding
equation..
Answer: Input: Profit in euros Output: Profit in U.S. dollars The function is
D(e)=1.25e.
◍ Daily traffic through the Geller River Bridge, in number of vehicles per
minute, can be modeled by the function n(t)=−2t3+40t2−200t+350 , where t
is the number of hours since 8:00 a.m. Find the number of vehicles per
minute that cross the bridge at 9:30 a.m. every day.Approximately 188
vehicles per minute cross the bridge at 9:30 a.m. every day. Approximately
133 vehicles per minute cross the bridge at 9:30 a.m. every
day.Approximately 123 vehicles per minute cross the bridge at 9:30 a.m.
every day. Approximately 112 vehicles per minute cross the bridge at 9:30
a.m. every day..
Answer: Approximately 133 vehicles per minute cross the bridge at 9:30
a.m. every day.Correct! Substitute t = 1.5 into n(t) , and you have:
n(1.5)=−2(1.5)3+40(1.5)2−200(1.5)+350=−2(3.375)+40(2.25)−300+350=−6.75+100
◍ The function f(x)=2500×1.07x models the number of bees in a hive after x
months. What is the average rate of change from x = 6 to x = 10, and what
, does it mean?The average rate of change is 491.79. That means that from
month 6 to month 10, the number of bees grows by an average of 491.79
bees per month. The average rate of change is 291.51. That means that from
month 6 to month 10, the number of bees grows by an average of 291.51
bees per month. The average rate of change is 116.61. That means that
through month 10, the number of bees grows by an average of 116.61 per
month. The average rate of change is 194.34. That means that through
month 10, the number of bees grows by an average of 194.34 bees per
month..
Answer: The average rate of change is 291.51. That means that from month
6 to month 10, the number of bees grows by an average of 291.51 bees per
month.
◍ A tester is testing the number of applications a cell phone can run with a
certain amount of memory. If you build a function to model this scenario,
for memory size and number of applications, which one is the independent
variable, and which one is the dependent variable?.
Answer: Independent Variable: amount of memoryDependent Variable:
number of applications
◍ For the function: f(x)=0.25x+20, can you explain why the function's average
rate of change at any two given points equals the instantaneous rate of
change at any given point?.
Answer: Because the function is a linear function.
◍ An action camera company has fixed costs of $9,000 per month and material
cost of $500 to produce each camera. The function modeling cost per month
is: C(x)=9,000+500xWhat is the function's slope? What does it mean?The
slope is 9,000. It implies the company has a fixed cost of $9,000 per month,
before producing any camera.The slope is 500. It implies the company has
fixed cost of $500 per month, before producing any camera.The slope is
500. It implies the cost of producing each camera is $500.The slope is 9,000.
It implies the cost of producing each camera is $9,000..
Answer: The slope is 500. It implies the cost of producing each camera is
, $500.Correct! In f(x)=mx+b, m is the slope.
◍ Vera was asked to predict monthly sales revenue if her company hired 12
more employees. What is her answer?.
Answer: The original function would be more useful here. Vera could
simply substitute 12 into x to calculate monthly sales:
R(12)=2,000(12)+25,000=49,000.The company's monthly sales revenue
would be $49,000 with 12 more employees.
◍ The cost to mail a package that weighs z ounces is given by the function
C(z)=$2.50+0.08z. How much would it cost to mail a package that weighs
14 ounces?$14.20 $2.58 $3.62 $13.24.
Answer: $3.62 Correct! $2.50+0.08(14)=$3.62.
◍ Use the slope formula to calculate the slope of a line which passes (9.6, 69)
and (11.6, 87)..
Answer: 9
◍ Using the equation from the previous question, how many tablets could
Carlo purchase so as to maintain 5 computers in his company?22403850.
Answer: 40Correct! T(5)=−2(5)+50=40.
◍ Many medical studies have shown a relationship between fast-food
consumption and an increase in cholesterol.Which variable is the dependent
variable? Fast-food consumption Cholesterol increase.
Answer: Cholesterol increase Correct! Eating more fast food may trigger an
increase in cholesterol.
◍ A software sales representative makes a base salary of $52,000 a year, plus
he earns a certain percentage of commission for each dollar of sales he
makes. If the sales rep sells $18,000 in software, his earnings are $53,620. If
he sells $18,500 in software, his earnings are $53,665. Which statement is
correct?When his sales reach $18,000, the instantaneous rate of increase in
his annual salary is $0.09 for each dollar of sales he makes.When his sales
reach $18,000, the instantaneous rate of increase in his annual salary is
$0.08 for each dollar of sales he makes.When his sales reach $18,000, the
ALGEBRA ACTUAL EXAM PAPER 2026
QUESTIONS WITH ANSWERS GRADED A+
◍ Given the function F(x)=−3x+15 , what is the value of F(2) ? -921149.
Answer: 9Correct! F(2)=−3(2)+15=−6+15=9
◍ The number of years someone regularly deposits money in a savings
account is related to the amount of money in the account. T/F.
Answer: T
◍ The height, in feet, of an arrow shot straight upward from the ground is
given by h(t)=−16t2+48t. After 1 second (t = 1), the height is 32 feet. At 3
seconds (t = 3) the height is 0 feet. What is the average rate of change over
the interval [1, 3]? -48 feet per second48 feet per second 16 feet per
second-16 feet per second.
Answer: -16 feet per second 0-32/3-2=-32/2=-16Correct! The coordinates
needed are (1, 32) and (3, 0). Plugging these coordinates into the slope
formula will result in -16.
◍ The function f(t)=33(0.5)t represents 33 grams of a given chemical with a
half-life of 8 hours. What factor creates a natural asymptote in this situation?
The number of grams of the chemicalThe starting amount of 33 gramsThe
growth rate of 0.5The growth period of 8 hours.
Answer: The number of grams of the chemicalCorrect! The amount of
chemical will tend toward zero as time goes on.
◍ The exponential function k(x) represents the value of a smartphone x
months after purchase. It is given that k(3)=400 and k(10)=316. What is the
average rate of change in words?.
Answer: From 3 months after purchase until 10 months after purchase, the
, value of the phone decreased by an average of $12 per month.
◍ You are an IT manager with six people on your team. Each team member
works 40 guaranteed hours a week. If a new software tool or platform is
rolled out, more help is needed for customer support, and your team
members may work a few hours of overtime. Which of the following
choices listed is a variable? Forty guaranteed hours of workThe number of
overtime hours Six team members Providing customer support.
Answer: The number of overtime hours Correct! The number of overtime
hours can vary week to week.
◍ Norman is responsible for converting incoming foreign profits to American
currency. On a given day, Norm knows that one
U. S. dollar is equivalent to 0.8 euro. Of the two possible functions in this
scenario, identify the input and output variables of the function that should
most logically be labeled the original function, and write the corresponding
equation..
Answer: Input: Profit in euros Output: Profit in U.S. dollars The function is
D(e)=1.25e.
◍ Daily traffic through the Geller River Bridge, in number of vehicles per
minute, can be modeled by the function n(t)=−2t3+40t2−200t+350 , where t
is the number of hours since 8:00 a.m. Find the number of vehicles per
minute that cross the bridge at 9:30 a.m. every day.Approximately 188
vehicles per minute cross the bridge at 9:30 a.m. every day. Approximately
133 vehicles per minute cross the bridge at 9:30 a.m. every
day.Approximately 123 vehicles per minute cross the bridge at 9:30 a.m.
every day. Approximately 112 vehicles per minute cross the bridge at 9:30
a.m. every day..
Answer: Approximately 133 vehicles per minute cross the bridge at 9:30
a.m. every day.Correct! Substitute t = 1.5 into n(t) , and you have:
n(1.5)=−2(1.5)3+40(1.5)2−200(1.5)+350=−2(3.375)+40(2.25)−300+350=−6.75+100
◍ The function f(x)=2500×1.07x models the number of bees in a hive after x
months. What is the average rate of change from x = 6 to x = 10, and what
, does it mean?The average rate of change is 491.79. That means that from
month 6 to month 10, the number of bees grows by an average of 491.79
bees per month. The average rate of change is 291.51. That means that from
month 6 to month 10, the number of bees grows by an average of 291.51
bees per month. The average rate of change is 116.61. That means that
through month 10, the number of bees grows by an average of 116.61 per
month. The average rate of change is 194.34. That means that through
month 10, the number of bees grows by an average of 194.34 bees per
month..
Answer: The average rate of change is 291.51. That means that from month
6 to month 10, the number of bees grows by an average of 291.51 bees per
month.
◍ A tester is testing the number of applications a cell phone can run with a
certain amount of memory. If you build a function to model this scenario,
for memory size and number of applications, which one is the independent
variable, and which one is the dependent variable?.
Answer: Independent Variable: amount of memoryDependent Variable:
number of applications
◍ For the function: f(x)=0.25x+20, can you explain why the function's average
rate of change at any two given points equals the instantaneous rate of
change at any given point?.
Answer: Because the function is a linear function.
◍ An action camera company has fixed costs of $9,000 per month and material
cost of $500 to produce each camera. The function modeling cost per month
is: C(x)=9,000+500xWhat is the function's slope? What does it mean?The
slope is 9,000. It implies the company has a fixed cost of $9,000 per month,
before producing any camera.The slope is 500. It implies the company has
fixed cost of $500 per month, before producing any camera.The slope is
500. It implies the cost of producing each camera is $500.The slope is 9,000.
It implies the cost of producing each camera is $9,000..
Answer: The slope is 500. It implies the cost of producing each camera is
, $500.Correct! In f(x)=mx+b, m is the slope.
◍ Vera was asked to predict monthly sales revenue if her company hired 12
more employees. What is her answer?.
Answer: The original function would be more useful here. Vera could
simply substitute 12 into x to calculate monthly sales:
R(12)=2,000(12)+25,000=49,000.The company's monthly sales revenue
would be $49,000 with 12 more employees.
◍ The cost to mail a package that weighs z ounces is given by the function
C(z)=$2.50+0.08z. How much would it cost to mail a package that weighs
14 ounces?$14.20 $2.58 $3.62 $13.24.
Answer: $3.62 Correct! $2.50+0.08(14)=$3.62.
◍ Use the slope formula to calculate the slope of a line which passes (9.6, 69)
and (11.6, 87)..
Answer: 9
◍ Using the equation from the previous question, how many tablets could
Carlo purchase so as to maintain 5 computers in his company?22403850.
Answer: 40Correct! T(5)=−2(5)+50=40.
◍ Many medical studies have shown a relationship between fast-food
consumption and an increase in cholesterol.Which variable is the dependent
variable? Fast-food consumption Cholesterol increase.
Answer: Cholesterol increase Correct! Eating more fast food may trigger an
increase in cholesterol.
◍ A software sales representative makes a base salary of $52,000 a year, plus
he earns a certain percentage of commission for each dollar of sales he
makes. If the sales rep sells $18,000 in software, his earnings are $53,620. If
he sells $18,500 in software, his earnings are $53,665. Which statement is
correct?When his sales reach $18,000, the instantaneous rate of increase in
his annual salary is $0.09 for each dollar of sales he makes.When his sales
reach $18,000, the instantaneous rate of increase in his annual salary is
$0.08 for each dollar of sales he makes.When his sales reach $18,000, the
