WESTERN GOVERNORS UNIVERSITY APPLIED ALGEBRA FXO1 QUESTIONS AND CORRECT ANSWERS (VERIFIED ANSWERS) PLUS RATIONALES 2026 Q&A |LATEST EXAM UPDATE 2026/2027.

WESTERN GOVERNORS UNIVERSITY APPLIED ALGEBRA FXO1 QUESTIONS AND CORRECT
ANSWERS (VERIFIED ANSWERS) PLUS RATIONALES 2026 Q&A |LATEST EXAM UPDATE
2026/2027.
SECTION ONE: QUESTIONS 1–100
A professional organization is evaluating the cost-effectiveness of two different software platforms.
Platform A costs $500 plus $20 per user. Platform B costs $200 plus $35 per user. At how many
users do the costs of the two platforms equal each other?
A. 15
B. 20
C. 25
D. 30
🟢A
🔴 RATIONALE: Setting the equations equal, 500 + 20x = 200 + 35x. Subtracting 20x from both
sides yields 500 = 200 + 15x. Subtracting 200 yields 300 = 15x, and x = 20. However, checking the
math 500 + 20(20) = 900 and 200 + 35(20) = 900. The correct calculation is x = 20.
A medical facility calculates medication dosage based on the weight of the patient. If the dosage
formula is D = 0.5w + 10, where w is weight in kg, what is the dosage for an 80kg patient?
A. 40
B. 50
C. 60
D. 70
🟢B
🔴 RATIONALE: Substituting 80 for w, D = 0.5(80) + 10 = 40 + 10 = 50.
An environmental inspector measures the rate of pollutant decay in a water supply. The amount of
pollutant A remaining follows the function A(t) = 100(0.8)^t. What percentage of the pollutant

,remains after 2 years?
A. 64%
B. 80%
C. 20%
D. 36%
🟢A
🔴 RATIONALE: Calculating for t=2, A(2) = 100(0.8)^2 = 100(0.64) = 64.
A fiduciary must allocate a budget of $10,000 between two investment funds, X and Y. Fund X
returns 5% annually, and Fund Y returns 8%. If the goal is a total return of $650, which system of
equations represents this?
A. x + y = 10,000; 0.05x + 0.08y = 650
B. x + y = 650; 0.05x + 0.08y = 10,000
C. 0.05x + 0.08y = 10,000; x + y = 650
D. x + y = 10,000; 0.5x + 0.8y = 650
🟢A
🔴 RATIONALE: The first equation represents the total investment, and the second represents the
total interest earned from the respective percentages.
A technician observes that a machine's output capacity follows a linear trend. If the output is 200
units at 1 hour and 500 units at 4 hours, what is the constant rate of change?
A. 50 units/hour
B. 100 units/hour
C. 150 units/hour
D. 200 units/hour
🟢B
🔴 RATIONALE: The slope m = (y2 - y1) / (x2 - x1) = (500 - 200) / (4 - 1) = = 100.

,A nursing student is solving for variable x in the equation 3(x - 4) = 2x + 10. What is the value of x?
A. 14
B. 22
C. 18
D. 20
🟢B
🔴 RATIONALE: Expanding the equation, 3x - 12 = 2x + 10. Subtracting 2x from both sides gives x
- 12 = 10. Adding 12 gives x = 22.
Which expression represents the perimeter of a rectangle with length (3x + 5) and width (2x - 1)?
A. 5x + 4
B. 10x + 8
C. 10x + 4
D. 6x + 4
🟢B
🔴 RATIONALE: Perimeter = 2(length + width) = 2((3x + 5) + (2x - 1)) = 2(5x + 4) = 10x + 8.
A safety regulation requires the area of a floor to be at least 150 square feet. If the length is x and
the width is x - 5, which inequality models this?
A. x(x - 5) < 150
B. x(x - 5) >= 150
C. 2x + 2(x - 5) >= 150
D. x + x - 5 >= 150
🟢B
🔴 RATIONALE: Area is length times width, and "at least" implies the >= sign.

, An analyst is simplifying the expression (4x^3 * 2x^2) / x^4. What is the result?
A. 8x
B. 8x^2
C. 6x
D. 4x
🟢A
🔴 RATIONALE: (8x^5) / x^4 = 8x^(5-4) = 8x.
A worker is paid $25 per hour plus a flat fee of $100 for a job. Which function models the total
earnings E as a function of hours worked h?
A. E = 100h + 25
B. E = 25h + 100
C. E = 25 + 100h
D. E = 125h
🟢B
🔴 RATIONALE: The variable rate (25 per hour) is attached to the variable h, and the flat fee (100)
is the constant.
If f(x) = x^2 - 4x + 3, what is f(2)?
A. -1
B. 1
C. 0
D. 3
🟢A
🔴 RATIONALE: f(2) = (2)^2 - 4(2) + 3 = 4 - 8 + 3 = -1.