WGU C957 APPLIED ALGEBRA OA 200 EXAM
QUESTIONS AND ANSWERS WITH RATIONALES LATEST
UPDATE 2026
QUESTIONS 1–45 (With Full Rationales)
1. A car rental company charges a flat fee of $45 plus $0.25 per mile driven.
Which linear equation represents the total cost (C) for driving (m) miles?
- A) C = 45m + 0.25
- B) C = 0.25m + 45
- C) C = 45m - 0.25
- D) C = 0.25(45 + m)
Correct Answer: B
Rationale: The flat fee is the y-intercept ($45), and the per-mile charge is the slope
($0.25). Thus, C = 0.25m + 45.
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2. What is the slope of the line passing through the points (-2, 5) and (4, -7)?
- A) -2
- B) 2
- C) -1/2
- D) 1/2
,Correct Answer: A
Rationale: Slope = (y₂ - y₁)/(x₂ - x₁) = (-7 - 5)/(4 - (-2)) = -12/6 = -2.
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3. A plumber charges a $75 service call fee plus $55 per hour. If the total bill was
$295, how many hours (h) did the plumber work?
- A) 3 hours
- B) 4 hours
- C) 5 hours
- D) 6 hours
Correct Answer: B
Rationale: 55h + 75 = 295 → 55h = 220 → h = 4.
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4. What is the y-intercept of the function f(x) = 3x - 12?
- A) (0, -12)
- B) (0, 3)
- C) (-12, 0)
- D) (3, 0)
Correct Answer: A
Rationale: The y-intercept occurs when x = 0. f(0) = 3(0) - 12 = -12.
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,5. A function doubles each input. What does the inverse function do?
- A) Doubles each input
- B) Adds 2 to each input
- C) Subtracts 2 from each input
- D) Halves each input
Correct Answer: D
Rationale: If f(x) = 2x, the inverse reverses the operation: f⁻¹(x) = x/2 (halves the
input).
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6. A gym membership costs $30 per month plus a one-time initiation fee of $100. If
a member paid $580 after some months, how many months did they pay for?
- A) 12 months
- B) 16 months
- C) 19 months
- D) 20 months
Correct Answer: B
Rationale: 30m + 100 = 580 → 30m = 480 → m = 16.
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7. Which equation represents a line perpendicular to y = 2x + 5?
- A) y = 2x - 3
, - B) y = -1/2x + 4
- C) y = 1/2x + 1
- D) y = -2x + 6
Correct Answer: B
Rationale: Perpendicular slopes are negative reciprocals. The negative reciprocal
of 2 is -1/2.
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8. A company's profit (P) in thousands of dollars is modeled by P(x) = 5x - 20,
where x is the number of units sold in hundreds. How many units must be sold to
break even?
- A) 4 units
- B) 400 units
- C) 20 units
- D) 2,000 units
Correct Answer: B
Rationale: Set P(x) = 0 → 5x - 20 = 0 → x = 4 (hundreds) = 400 units.
---
9. What is the x-intercept of the linear equation 2x + 3y = 18?
- A) (9, 0)
- B) (0, 6)
- C) (0, 9)
QUESTIONS AND ANSWERS WITH RATIONALES LATEST
UPDATE 2026
QUESTIONS 1–45 (With Full Rationales)
1. A car rental company charges a flat fee of $45 plus $0.25 per mile driven.
Which linear equation represents the total cost (C) for driving (m) miles?
- A) C = 45m + 0.25
- B) C = 0.25m + 45
- C) C = 45m - 0.25
- D) C = 0.25(45 + m)
Correct Answer: B
Rationale: The flat fee is the y-intercept ($45), and the per-mile charge is the slope
($0.25). Thus, C = 0.25m + 45.
---
2. What is the slope of the line passing through the points (-2, 5) and (4, -7)?
- A) -2
- B) 2
- C) -1/2
- D) 1/2
,Correct Answer: A
Rationale: Slope = (y₂ - y₁)/(x₂ - x₁) = (-7 - 5)/(4 - (-2)) = -12/6 = -2.
---
3. A plumber charges a $75 service call fee plus $55 per hour. If the total bill was
$295, how many hours (h) did the plumber work?
- A) 3 hours
- B) 4 hours
- C) 5 hours
- D) 6 hours
Correct Answer: B
Rationale: 55h + 75 = 295 → 55h = 220 → h = 4.
---
4. What is the y-intercept of the function f(x) = 3x - 12?
- A) (0, -12)
- B) (0, 3)
- C) (-12, 0)
- D) (3, 0)
Correct Answer: A
Rationale: The y-intercept occurs when x = 0. f(0) = 3(0) - 12 = -12.
---
,5. A function doubles each input. What does the inverse function do?
- A) Doubles each input
- B) Adds 2 to each input
- C) Subtracts 2 from each input
- D) Halves each input
Correct Answer: D
Rationale: If f(x) = 2x, the inverse reverses the operation: f⁻¹(x) = x/2 (halves the
input).
---
6. A gym membership costs $30 per month plus a one-time initiation fee of $100. If
a member paid $580 after some months, how many months did they pay for?
- A) 12 months
- B) 16 months
- C) 19 months
- D) 20 months
Correct Answer: B
Rationale: 30m + 100 = 580 → 30m = 480 → m = 16.
---
7. Which equation represents a line perpendicular to y = 2x + 5?
- A) y = 2x - 3
, - B) y = -1/2x + 4
- C) y = 1/2x + 1
- D) y = -2x + 6
Correct Answer: B
Rationale: Perpendicular slopes are negative reciprocals. The negative reciprocal
of 2 is -1/2.
---
8. A company's profit (P) in thousands of dollars is modeled by P(x) = 5x - 20,
where x is the number of units sold in hundreds. How many units must be sold to
break even?
- A) 4 units
- B) 400 units
- C) 20 units
- D) 2,000 units
Correct Answer: B
Rationale: Set P(x) = 0 → 5x - 20 = 0 → x = 4 (hundreds) = 400 units.
---
9. What is the x-intercept of the linear equation 2x + 3y = 18?
- A) (9, 0)
- B) (0, 6)
- C) (0, 9)
