MATHEMATICS · APPLIED ALGEBRA · PRE-ASSESSMENT
WGU C957 PRE-ASSESSMENT:
A+
APPLIED ALGEBRA (FXO1) (PFXO)
2026/2027
Official-Style Examination · Application & Analysis Level · A+ Verified Content
A+ QUESTIONS VERIFIED 5 SECTIONS 100% RATIONALES
Original · Exam-Quality Blueprint-Aligned Domains Item-Specific Explanations
CATEGORIES
■ 1. Function Notation, Inputs, Outputs, and Graphs
■ 2. Linear Functions and Constant Rates of Change
■ 3. Polynomial Functions, Concavity, and Extremes
■ 4. Exponential and Logistic Functions
■ 5. Modeling, Regression, and Validity of Models
Marks: 1 per question | Total: 50 marks | Passing Score: 75% | Difficulty: Intermediate (Application/Analysis)
STUVIAACTUALEXAM
STUVIAACTUALEXAM | WGU C957 Applied Algebra | 2026/2027 1
, Section 1: Function Notation, Inputs, Outputs, and Graphs
Q1.
A local fitness center models the number of active memberships M as a function of months since launch, t. The manager writes
M(8) = 420. What does this notation mean in context?
A. The membership fee is $8 for 420 people.
B. After 8 months there are 420 active memberships.
C. After 420 months there are 8 active memberships.
D. The center opened 420 months ago with 8 members.
Correct Answer: B
Rationale: M(8) = 420 means the output (memberships) is 420 when the input (months) is 8.
Q2.
A customer-service department tracks call volume V as a function of hours after opening, h. An ordered pair (3, 47) appears on the
graph of V. What does the pair represent?
A. Call volume increased by 47% in 3 hours.
B. The department closed after 3 hours with 47 staff.
C. There were 3 calls after 47 hours.
D. There were 47 calls 3 hours after opening.
Correct Answer: D
Rationale: The ordered pair (input, output) = (3, 47) indicates 47 calls at 3 hours after opening.
Q3.
A company uses two functions L(t) and U(t) for the least and most revenue (in thousands of dollars) expected in month t. If L(4) =
12 and U(4) = 19, what can be concluded?
A. In month 4, revenue is expected to be between $12,000 and $19,000.
B. The company loses money in month 4.
C. Month 4 has 12 to 19 working days.
D. Revenue will be exactly $12,000 every month.
Correct Answer: A
Rationale: L and U give lower and upper bounds; at t = 4 the revenue range is 12 to 19 thousand dollars.
Q4.
A graph shows temperature T (degrees) versus hours after midnight, h. The graph is continuous and passes through (0, 58) and (6,
45). What does T(0) = 58 indicate?
A. Temperature rises 58 degrees in 6 hours.
B. The lowest temperature occurs at hour 58.
C. At midnight the temperature is 58 degrees.
D. After 58 hours the temperature is 0 degrees.
Correct Answer: C
Rationale: T(0) = 58 means when the input is 0 hours after midnight, the output temperature is 58°.
Q5.
A data table lists hours of study s and corresponding exam scores E. One row is s = 5, E = 78. Using function notation, how is this
relationship written?
A. E(5) = 78
B. 5(E) = 78
C. E(78) = 5
D. s(78) = 5
Correct Answer: A
Rationale: The input is hours of study; the output is score. E(5) = 78 correctly places the input inside the parentheses.
STUVIAACTUALEXAM | WGU C957 Applied Algebra | 2026/2027 2
WGU C957 PRE-ASSESSMENT:
A+
APPLIED ALGEBRA (FXO1) (PFXO)
2026/2027
Official-Style Examination · Application & Analysis Level · A+ Verified Content
A+ QUESTIONS VERIFIED 5 SECTIONS 100% RATIONALES
Original · Exam-Quality Blueprint-Aligned Domains Item-Specific Explanations
CATEGORIES
■ 1. Function Notation, Inputs, Outputs, and Graphs
■ 2. Linear Functions and Constant Rates of Change
■ 3. Polynomial Functions, Concavity, and Extremes
■ 4. Exponential and Logistic Functions
■ 5. Modeling, Regression, and Validity of Models
Marks: 1 per question | Total: 50 marks | Passing Score: 75% | Difficulty: Intermediate (Application/Analysis)
STUVIAACTUALEXAM
STUVIAACTUALEXAM | WGU C957 Applied Algebra | 2026/2027 1
, Section 1: Function Notation, Inputs, Outputs, and Graphs
Q1.
A local fitness center models the number of active memberships M as a function of months since launch, t. The manager writes
M(8) = 420. What does this notation mean in context?
A. The membership fee is $8 for 420 people.
B. After 8 months there are 420 active memberships.
C. After 420 months there are 8 active memberships.
D. The center opened 420 months ago with 8 members.
Correct Answer: B
Rationale: M(8) = 420 means the output (memberships) is 420 when the input (months) is 8.
Q2.
A customer-service department tracks call volume V as a function of hours after opening, h. An ordered pair (3, 47) appears on the
graph of V. What does the pair represent?
A. Call volume increased by 47% in 3 hours.
B. The department closed after 3 hours with 47 staff.
C. There were 3 calls after 47 hours.
D. There were 47 calls 3 hours after opening.
Correct Answer: D
Rationale: The ordered pair (input, output) = (3, 47) indicates 47 calls at 3 hours after opening.
Q3.
A company uses two functions L(t) and U(t) for the least and most revenue (in thousands of dollars) expected in month t. If L(4) =
12 and U(4) = 19, what can be concluded?
A. In month 4, revenue is expected to be between $12,000 and $19,000.
B. The company loses money in month 4.
C. Month 4 has 12 to 19 working days.
D. Revenue will be exactly $12,000 every month.
Correct Answer: A
Rationale: L and U give lower and upper bounds; at t = 4 the revenue range is 12 to 19 thousand dollars.
Q4.
A graph shows temperature T (degrees) versus hours after midnight, h. The graph is continuous and passes through (0, 58) and (6,
45). What does T(0) = 58 indicate?
A. Temperature rises 58 degrees in 6 hours.
B. The lowest temperature occurs at hour 58.
C. At midnight the temperature is 58 degrees.
D. After 58 hours the temperature is 0 degrees.
Correct Answer: C
Rationale: T(0) = 58 means when the input is 0 hours after midnight, the output temperature is 58°.
Q5.
A data table lists hours of study s and corresponding exam scores E. One row is s = 5, E = 78. Using function notation, how is this
relationship written?
A. E(5) = 78
B. 5(E) = 78
C. E(78) = 5
D. s(78) = 5
Correct Answer: A
Rationale: The input is hours of study; the output is score. E(5) = 78 correctly places the input inside the parentheses.
STUVIAACTUALEXAM | WGU C957 Applied Algebra | 2026/2027 2
