WGU C957 Applied Algebra OA Exam 2026 |
Exam-Style Questions & Detailed Answers +
Full Practice Test Bank
WGU C957 Applied Algebra OA Exam 2026
Exam-Style Questions & Detailed Answers + Full Practice Test Bank
Question 1
A logistics company models its daily delivery cost using the function f(x) = 3x² + 5x + 12,
where x represents the number of delivery routes. The manager needs to determine the
cost when 4 routes are in operation.
What is f(4)?
A) 60
B) 72
C) 76
D) 80
E) 92
✔ CORRECT ANSWER: D) 80
RATIONALE: Substitute x = 4 into f(x) = 3x² + 5x + 12: f(4) = 3(4²) + 5(4) + 12 = 3(16)
+ 20 + 12 = 48 + 20 + 12 = 80
Question 2
,A water treatment facility tracks its filtration output using the function g(t) = -2t² + 16t + 5,
where t is the number of hours since operations began. A technician wants to find the
maximum output and at what time it occurs.
At what value of t does g(t) reach its maximum?
A) t=2
B) t=3
C) t=4
D) t=5
E) t=8
✔ CORRECT ANSWER: C) t = 4
RATIONALE: For a quadratic f(t) = at² + bt + c, the vertex occurs at t = -b/2a. Here a =
-2, b = 16: t = -16/2(-2) = -16/-4 = 4. Since a < 0, this is a maximum.
Question 3
A hospital pharmacy uses the piecewise function below to determine medication dosage
(in mg) based on a patient's weight w (in kg):
f(w) = 5w, if w ≤ 50 f(w) = 250 + 3(w - 50), if w > 50
A patient weighs 70 kg. What dosage should they receive?
A) 310 mg
B) 310 mg
,Let me recalculate: 250 + 3(70-50) = 250 + 60 = 310 mg
A) 250 mg
B) 310 mg
C) 350 mg
D) 360 mg
E) 400 mg
✔ CORRECT ANSWER: B) 310 mg
RATIONALE: Since 70 > 50, use the second rule: f(70) = 250 + 3(70 - 50) = 250 +
3(20) = 250 + 60 = 310 mg
Question 4
A software company tracks its monthly revenue in thousands using R(x) = 4x³ - 2x² + x -
7, where x is the number of products sold (in hundreds). What is R(2)?
A) 15
B) 19
C) 23
, D) 27
E) 31
✔ CORRECT ANSWER: C) 23
RATIONALE: R(2) = 4(8) - 2(4) + 2 - 7 = 32 - 8 + 2 - 7 = 23
Question 5
A city's population growth is modeled by P(t) = 12,000(1.03)^t, where t is years since
2010. A city planner needs to know the population in 2020.
What is the approximate population in 2020?
A) 13,440
B) 14,200
C) 15,000
D) 16,127
E) 17,500
✔ CORRECT ANSWER: D) 16,127
RATIONALE: t = 2020 - 2010 = 10. P(10) = 12,000(1.03)^10 = 12,000(1.3439) ≈
16,127
Question 6
Exam-Style Questions & Detailed Answers +
Full Practice Test Bank
WGU C957 Applied Algebra OA Exam 2026
Exam-Style Questions & Detailed Answers + Full Practice Test Bank
Question 1
A logistics company models its daily delivery cost using the function f(x) = 3x² + 5x + 12,
where x represents the number of delivery routes. The manager needs to determine the
cost when 4 routes are in operation.
What is f(4)?
A) 60
B) 72
C) 76
D) 80
E) 92
✔ CORRECT ANSWER: D) 80
RATIONALE: Substitute x = 4 into f(x) = 3x² + 5x + 12: f(4) = 3(4²) + 5(4) + 12 = 3(16)
+ 20 + 12 = 48 + 20 + 12 = 80
Question 2
,A water treatment facility tracks its filtration output using the function g(t) = -2t² + 16t + 5,
where t is the number of hours since operations began. A technician wants to find the
maximum output and at what time it occurs.
At what value of t does g(t) reach its maximum?
A) t=2
B) t=3
C) t=4
D) t=5
E) t=8
✔ CORRECT ANSWER: C) t = 4
RATIONALE: For a quadratic f(t) = at² + bt + c, the vertex occurs at t = -b/2a. Here a =
-2, b = 16: t = -16/2(-2) = -16/-4 = 4. Since a < 0, this is a maximum.
Question 3
A hospital pharmacy uses the piecewise function below to determine medication dosage
(in mg) based on a patient's weight w (in kg):
f(w) = 5w, if w ≤ 50 f(w) = 250 + 3(w - 50), if w > 50
A patient weighs 70 kg. What dosage should they receive?
A) 310 mg
B) 310 mg
,Let me recalculate: 250 + 3(70-50) = 250 + 60 = 310 mg
A) 250 mg
B) 310 mg
C) 350 mg
D) 360 mg
E) 400 mg
✔ CORRECT ANSWER: B) 310 mg
RATIONALE: Since 70 > 50, use the second rule: f(70) = 250 + 3(70 - 50) = 250 +
3(20) = 250 + 60 = 310 mg
Question 4
A software company tracks its monthly revenue in thousands using R(x) = 4x³ - 2x² + x -
7, where x is the number of products sold (in hundreds). What is R(2)?
A) 15
B) 19
C) 23
, D) 27
E) 31
✔ CORRECT ANSWER: C) 23
RATIONALE: R(2) = 4(8) - 2(4) + 2 - 7 = 32 - 8 + 2 - 7 = 23
Question 5
A city's population growth is modeled by P(t) = 12,000(1.03)^t, where t is years since
2010. A city planner needs to know the population in 2020.
What is the approximate population in 2020?
A) 13,440
B) 14,200
C) 15,000
D) 16,127
E) 17,500
✔ CORRECT ANSWER: D) 16,127
RATIONALE: t = 2020 - 2010 = 10. P(10) = 12,000(1.03)^10 = 12,000(1.3439) ≈
16,127
Question 6
