WGU APPLIED ALGEBRA C957 / FX01 PRACTICE
EXAMINATION WITH 100 QUESTIONS WITH CORRECT
ANSWERS AND RATIONALES PLUS VERIFIED ANSWER
KEY 2026-2027 Q&A ASSURED A+ GRADE GOOD LUCK!!!
Question 1
A function triples each input value. What does the inverse function do?
A) Adds 3 to each input
B) Divides each input by 3
C) Multiplies each input by 3
D) Subtracts 3 from each input
Rationale: A function that triples an input can be written as f(x) = 3x. The inverse function, f⁻¹(x),
reverses the effect of the original function. Since multiplying by 3 is the original operation, the
inverse divides by 3, returning the original input value.
Question 2
Sales tax in your county is 6.5%. Which function models the amount of sales tax, T, when you
spend x dollars?
A) T(x) = x + 0.65
B) T(x) = 0.65x
C) T(x) = 6.5x
D) T(x) = 0.065x
Rationale: Sales tax is calculated as a percentage of the purchase amount. First, convert the
percentage to a decimal: 6.5% becomes 0.065. Then multiply this decimal by the amount spent x
to find the tax owed.
Question 3
Which situation is best modeled by a linear function?
A) A population of bacteria doubles every hour
B) A car depreciates by a fixed amount of $1,500 each year
,C) The amount of money in a savings account earning compound interest
D) The spread of a virus that triples each day
Rationale: Linear functions have a constant rate of change (slope). A car depreciating by a fixed
amount per year represents a constant rate of change. Exponential functions (doubling, tripling,
compound interest) represent multiplicative growth.
Question 4
If f(x) = 2x + 5, what is f(3)?
A) 6
B) 11
C) 7
D) 10
Rationale: To evaluate a function, substitute the input value for x: f(3) = 2(3) + 5 = 6 + 5 = 11.
Question 5
Which function represents the total cost, C, of buying x tickets at $15 each?
A) C = 15 + x
B) C = 15x
C) C = x/15
D) C = 15 - x
Rationale: Total cost is calculated by multiplying the number of tickets by the price per ticket: C =
15x. This represents a proportional relationship.
Question 6
Which variable is a qualitative variable?
A) Your bank account number
B) Your shirt color
C) Your salary
D) Your child's name
Rationale: Qualitative variables are non-numerical and describe categories or attributes. Shirt
color describes a quality or characteristic, while salary is quantitative.
Question 7
,A local business is looking to become a franchise. The company wants to predict the number of
franchises, F, given a certain number of years, Y. This prediction is modeled by the function F(Y).
What can be concluded by F(5) = 10?
A) Every 5 years, 10 stores will be opened
B) Every 10 years, 5 stores will be opened
C) In 5 years, there will be 10 open stores
D) In 10 years, there will be 5 open stores
Rationale: In function notation F(Y), Y is the input (years) and F(Y) is the output (number of
franchises). F(5) = 10 means when Y = 5, the number of franchises is 10.
Question 8
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?
A) G(5) = 10
B) G(5) = 250
C) G(250) = 5
D) G(10) = 5
Rationale: Each month, $50 is given away. After 5 months, the total given away is 5 × $50 =
$250. In function notation, G(5) = 250.
Question 9
The volume of calls, V(h), at a particular customer service center can be written as a function of
the number of hours after opening each day, h. What would the ordered pair (6,8) represent for
this function?
A) There were 8 calls 6 hours after opening
B) There were 6 calls 8 hours after opening
C) There were h calls 6 hours after opening
D) There were 8 calls V hours after opening
Rationale: In an ordered pair (h, V(h)), the first coordinate is the input (hours after opening) and
the second is the output (volume of calls). (6,8) means at h = 6 hours, V(6) = 8 calls.
Question 10
, A company has developed two functions, L(t) and M(t), that determine the least amount and
most amount, respectively, of revenue it will make in any given month in dollars (with t = 1
corresponding to January). What can the company reasonably conclude if L(2) = 3,000 and M(2)
= 5,000?
A) In February, it will make $2,000
**B) In February, it will make between $3,000 and $5,000**
C) It will make more money in February if it uses M(t) instead of L(t)
D) It cannot make more than $3,000 in February but can make up to $5,000 after February
Rationale: L(t) gives the least amount of revenue and M(t) gives the most amount. L(2) = 3,000
means the least revenue in February (t=2) is $3,000. M(2) = 5,000 means the most revenue in
February is $5,000. Therefore, revenue in February will be between $3,000 and $5,000.
Question 11
A server at a restaurant has realized that tips, T, in dollars are related to the number of hours, h,
that have been worked on any given day. Tips can be modeled by the function T(h) = X. How can
this function be interpreted?
**A) If the server works h hours, the tips will
be X∗∗B)IftheserverworksThours,thetipswillbeX∗∗B)IftheserverworksThours,thetipswillbeh
C) If the server works h hours, the tips will
be T(X)D)IftheserverworksXhours,thetipswillbeT(X)D)IftheserverworksXhours,thetipswillbeh
Rationale: In function notation T(h) = X, h is the input (hours worked) and T(h) is the output (tips
in dollars). So working h hours results in $X in tips.
Question 12
A company pays its employees a base salary each month plus a commission, C, based on the
number of sales, s, made by an employee during the month. An employee made 8 sales in the
last month and received a commission of $1,600. How would this be represented in function
notation?
A) C(1600) = 8
B) C(8) = 1600
C) s(8) = 1600
D) s(1600) = 8
Rationale: The commission function C(s) gives the commission amount for s sales. C(8) = 1600
means that 8 sales resulted in a commission of $1,600.
Question 13
EXAMINATION WITH 100 QUESTIONS WITH CORRECT
ANSWERS AND RATIONALES PLUS VERIFIED ANSWER
KEY 2026-2027 Q&A ASSURED A+ GRADE GOOD LUCK!!!
Question 1
A function triples each input value. What does the inverse function do?
A) Adds 3 to each input
B) Divides each input by 3
C) Multiplies each input by 3
D) Subtracts 3 from each input
Rationale: A function that triples an input can be written as f(x) = 3x. The inverse function, f⁻¹(x),
reverses the effect of the original function. Since multiplying by 3 is the original operation, the
inverse divides by 3, returning the original input value.
Question 2
Sales tax in your county is 6.5%. Which function models the amount of sales tax, T, when you
spend x dollars?
A) T(x) = x + 0.65
B) T(x) = 0.65x
C) T(x) = 6.5x
D) T(x) = 0.065x
Rationale: Sales tax is calculated as a percentage of the purchase amount. First, convert the
percentage to a decimal: 6.5% becomes 0.065. Then multiply this decimal by the amount spent x
to find the tax owed.
Question 3
Which situation is best modeled by a linear function?
A) A population of bacteria doubles every hour
B) A car depreciates by a fixed amount of $1,500 each year
,C) The amount of money in a savings account earning compound interest
D) The spread of a virus that triples each day
Rationale: Linear functions have a constant rate of change (slope). A car depreciating by a fixed
amount per year represents a constant rate of change. Exponential functions (doubling, tripling,
compound interest) represent multiplicative growth.
Question 4
If f(x) = 2x + 5, what is f(3)?
A) 6
B) 11
C) 7
D) 10
Rationale: To evaluate a function, substitute the input value for x: f(3) = 2(3) + 5 = 6 + 5 = 11.
Question 5
Which function represents the total cost, C, of buying x tickets at $15 each?
A) C = 15 + x
B) C = 15x
C) C = x/15
D) C = 15 - x
Rationale: Total cost is calculated by multiplying the number of tickets by the price per ticket: C =
15x. This represents a proportional relationship.
Question 6
Which variable is a qualitative variable?
A) Your bank account number
B) Your shirt color
C) Your salary
D) Your child's name
Rationale: Qualitative variables are non-numerical and describe categories or attributes. Shirt
color describes a quality or characteristic, while salary is quantitative.
Question 7
,A local business is looking to become a franchise. The company wants to predict the number of
franchises, F, given a certain number of years, Y. This prediction is modeled by the function F(Y).
What can be concluded by F(5) = 10?
A) Every 5 years, 10 stores will be opened
B) Every 10 years, 5 stores will be opened
C) In 5 years, there will be 10 open stores
D) In 10 years, there will be 5 open stores
Rationale: In function notation F(Y), Y is the input (years) and F(Y) is the output (number of
franchises). F(5) = 10 means when Y = 5, the number of franchises is 10.
Question 8
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?
A) G(5) = 10
B) G(5) = 250
C) G(250) = 5
D) G(10) = 5
Rationale: Each month, $50 is given away. After 5 months, the total given away is 5 × $50 =
$250. In function notation, G(5) = 250.
Question 9
The volume of calls, V(h), at a particular customer service center can be written as a function of
the number of hours after opening each day, h. What would the ordered pair (6,8) represent for
this function?
A) There were 8 calls 6 hours after opening
B) There were 6 calls 8 hours after opening
C) There were h calls 6 hours after opening
D) There were 8 calls V hours after opening
Rationale: In an ordered pair (h, V(h)), the first coordinate is the input (hours after opening) and
the second is the output (volume of calls). (6,8) means at h = 6 hours, V(6) = 8 calls.
Question 10
, A company has developed two functions, L(t) and M(t), that determine the least amount and
most amount, respectively, of revenue it will make in any given month in dollars (with t = 1
corresponding to January). What can the company reasonably conclude if L(2) = 3,000 and M(2)
= 5,000?
A) In February, it will make $2,000
**B) In February, it will make between $3,000 and $5,000**
C) It will make more money in February if it uses M(t) instead of L(t)
D) It cannot make more than $3,000 in February but can make up to $5,000 after February
Rationale: L(t) gives the least amount of revenue and M(t) gives the most amount. L(2) = 3,000
means the least revenue in February (t=2) is $3,000. M(2) = 5,000 means the most revenue in
February is $5,000. Therefore, revenue in February will be between $3,000 and $5,000.
Question 11
A server at a restaurant has realized that tips, T, in dollars are related to the number of hours, h,
that have been worked on any given day. Tips can be modeled by the function T(h) = X. How can
this function be interpreted?
**A) If the server works h hours, the tips will
be X∗∗B)IftheserverworksThours,thetipswillbeX∗∗B)IftheserverworksThours,thetipswillbeh
C) If the server works h hours, the tips will
be T(X)D)IftheserverworksXhours,thetipswillbeT(X)D)IftheserverworksXhours,thetipswillbeh
Rationale: In function notation T(h) = X, h is the input (hours worked) and T(h) is the output (tips
in dollars). So working h hours results in $X in tips.
Question 12
A company pays its employees a base salary each month plus a commission, C, based on the
number of sales, s, made by an employee during the month. An employee made 8 sales in the
last month and received a commission of $1,600. How would this be represented in function
notation?
A) C(1600) = 8
B) C(8) = 1600
C) s(8) = 1600
D) s(1600) = 8
Rationale: The commission function C(s) gives the commission amount for s sales. C(8) = 1600
means that 8 sales resulted in a commission of $1,600.
Question 13
