1
WGU C957 Applied Algebra FXO2 OA Review
Official Practice Exam Actual Exam 2026/2027
with Detailed Rationales | Complete Exam-Style
Questions | Pass Guaranteed – A+ Graded
TABLE OF CONTENTS
Section 1 | Linear Functions & Modeling | Q1 – Q10
Section 2 | Systems of Linear Equations & Inequalities | Q11 – Q20
Section 3 | Quadratic & Exponential Functions | Q21 – Q30
Section 4 | Data Analysis & Regression | Q31 – Q40
Section 5 | Financial Algebra, Applications & NGN-Style Case Analysis | Q41 –
Q45
Instructions: Choose the single best answer. Pass: 80% in 60 minutes.
══════════════════════════════════════
SECTION 1: LINEAR FUNCTIONS & MODELING Q1 – Q10
══════════════════════════════════════
Question 1 of 45
A rental car company charges a flat fee of $45 plus $0.25 for every mile driven. If
the total cost is modeled by the equation C = 0.25m + 45, identify the meaning of
the y-intercept in this context.
A. The flat fee charged regardless of miles driven. ✓ CORRECT
B. The cost per mile driven for the rental.
,2
C. The total cost for a zero-mile trip.
D. The rate at which the total cost increases.
Correct Answer: A
Rationale: In the slope-intercept form C = 0.25m + 45, the y-intercept 45
represents the starting value or flat fee. Choice B is incorrect because 0.25 is the
slope representing the per-mile rate. Always identify the y-intercept as the fixed
cost in linear cost models.
Question 2 of 45
A small business tracks its production costs and finds that producing 50 units costs
$120, while producing 100 units costs $220. Calculate the rate of change (slope)
for this linear relationship.
A. $0.50 per unit
B. $2.00 per unit ✓ CORRECT
C. $100.00 per unit
D. $1.50 per unit
Correct Answer: B
Rationale: Slope is calculated as the change in y divided by the change in x,
yielding (220 - 120) / (100 - 50) = 2. Choice C is incorrect because it represents the
change in y rather than the rate of change between the two points. Checking units
ensures you interpret the slope as dollars per unit.
Question 3 of 45
, 3
A line passes through the point (2, 5) and is parallel to the equation y = 3x - 4.
Determine the correct equation for this new line.
A. y = -1/3x + 5
B. y = 3x - 4
C. y = 3x - 1 ✓ CORRECT
D. y = 3x + 1
Correct Answer: C
Rationale: Parallel lines share the same slope, so the new equation must use m = 3
and pass through (2, 5), giving y = 3x - 1. Choice B is incorrect because it is the
original line, which passes through the y-intercept (0, -4) rather than the point (2,
5). Apply the point-slope formula to derive the new equation accurately.
Question 4 of 45
An engineer needs to find a line perpendicular to the equation y = -2/3x + 4.
Identify the slope of the correct perpendicular line.
A. -2/3
B. 2/3
C. -3/2
D. 3/2 ✓ CORRECT
Correct Answer: D
Rationale: The slope of a perpendicular line is the negative reciprocal of the
original slope, making it 3/2. Choice C is incorrect because it is the reciprocal but
WGU C957 Applied Algebra FXO2 OA Review
Official Practice Exam Actual Exam 2026/2027
with Detailed Rationales | Complete Exam-Style
Questions | Pass Guaranteed – A+ Graded
TABLE OF CONTENTS
Section 1 | Linear Functions & Modeling | Q1 – Q10
Section 2 | Systems of Linear Equations & Inequalities | Q11 – Q20
Section 3 | Quadratic & Exponential Functions | Q21 – Q30
Section 4 | Data Analysis & Regression | Q31 – Q40
Section 5 | Financial Algebra, Applications & NGN-Style Case Analysis | Q41 –
Q45
Instructions: Choose the single best answer. Pass: 80% in 60 minutes.
══════════════════════════════════════
SECTION 1: LINEAR FUNCTIONS & MODELING Q1 – Q10
══════════════════════════════════════
Question 1 of 45
A rental car company charges a flat fee of $45 plus $0.25 for every mile driven. If
the total cost is modeled by the equation C = 0.25m + 45, identify the meaning of
the y-intercept in this context.
A. The flat fee charged regardless of miles driven. ✓ CORRECT
B. The cost per mile driven for the rental.
,2
C. The total cost for a zero-mile trip.
D. The rate at which the total cost increases.
Correct Answer: A
Rationale: In the slope-intercept form C = 0.25m + 45, the y-intercept 45
represents the starting value or flat fee. Choice B is incorrect because 0.25 is the
slope representing the per-mile rate. Always identify the y-intercept as the fixed
cost in linear cost models.
Question 2 of 45
A small business tracks its production costs and finds that producing 50 units costs
$120, while producing 100 units costs $220. Calculate the rate of change (slope)
for this linear relationship.
A. $0.50 per unit
B. $2.00 per unit ✓ CORRECT
C. $100.00 per unit
D. $1.50 per unit
Correct Answer: B
Rationale: Slope is calculated as the change in y divided by the change in x,
yielding (220 - 120) / (100 - 50) = 2. Choice C is incorrect because it represents the
change in y rather than the rate of change between the two points. Checking units
ensures you interpret the slope as dollars per unit.
Question 3 of 45
, 3
A line passes through the point (2, 5) and is parallel to the equation y = 3x - 4.
Determine the correct equation for this new line.
A. y = -1/3x + 5
B. y = 3x - 4
C. y = 3x - 1 ✓ CORRECT
D. y = 3x + 1
Correct Answer: C
Rationale: Parallel lines share the same slope, so the new equation must use m = 3
and pass through (2, 5), giving y = 3x - 1. Choice B is incorrect because it is the
original line, which passes through the y-intercept (0, -4) rather than the point (2,
5). Apply the point-slope formula to derive the new equation accurately.
Question 4 of 45
An engineer needs to find a line perpendicular to the equation y = -2/3x + 4.
Identify the slope of the correct perpendicular line.
A. -2/3
B. 2/3
C. -3/2
D. 3/2 ✓ CORRECT
Correct Answer: D
Rationale: The slope of a perpendicular line is the negative reciprocal of the
original slope, making it 3/2. Choice C is incorrect because it is the reciprocal but
