WGU C957 Applied Algebra FXO2 OA | 45
Questions and Answers | Latest 2026/2027
Update | 100% Correct
Question 1
Solve for xx: 5x− 7=3x+95x− 7=3x+9
A) 1
B) 4
C) 8
D) 16
Answer: C) 8
Rationale: 5x− 7=3x+95x− 7=3x+9 → 5x− 3x=9+75
x− 3x=9+7 → 2x=162x=16 → x=8x=8.
Question 2
What is the slope of the line through (2, 3) and (5, 11)?
A) 8338
B) 3883
1
,C) 2
D) 4
Answer: A) 8338
Rationale: Slope m=11− 35− 2=83m=5− 211− 3=38.
Question 3
A car rental charges $30 per day plus $0.20 per mile.
Which equation gives total cost C for d days and m miles?
A) C=30d+0.20mC=30d+0.20m
B) C=30m+0.20dC=30m+0.20d
C) C=30+0.20(d+m)C=30+0.20(d+m)
D) C=30dmC=30dm
Answer: A) C=30d+0.20mC=30d+0.20m
Rationale: Daily rate times days plus per-mile rate times
miles.
Question 4
2
,The y-intercept of y=− 4x+10y=− 4x+10 is:
A) (0, -4)
B) (0, 10)
C) (10, 0)
D) (-4, 0)
Answer: B) (0, 10)
Rationale: In y=mx+by=mx+b, b is y-intercept → 10.
Question 5
Which is the vertex of y=(x− 3)2+2y=(x− 3)2+2?
A) (3, 2)
B) (-3, 2)
C) (3, -2)
D) (-3, -2)
Answer: A) (3, 2)
Rationale: Vertex form y=a(x− h)2+ky=a(x− h)2+k →
vertex at (h, k).
3
, Question 6
Solve the
system: y=2x+1y=2x+1 and y=− x+7y=− x+7
A) (2, 5)
B) (3, 7)
C) (1, 3)
D) (4, 9)
Answer: A) (2, 5)
Rationale: 2x+1=− x+72x+1=− x+7 → 3x=63x=6 →
x=2x=2, then y=5y=5.
Question 7
A population grows
exponentially: P(t)=500(1.04)tP(t)=500(1.04)t, t in years.
The annual growth rate is:
A) 0.04%
B) 4%
4
Questions and Answers | Latest 2026/2027
Update | 100% Correct
Question 1
Solve for xx: 5x− 7=3x+95x− 7=3x+9
A) 1
B) 4
C) 8
D) 16
Answer: C) 8
Rationale: 5x− 7=3x+95x− 7=3x+9 → 5x− 3x=9+75
x− 3x=9+7 → 2x=162x=16 → x=8x=8.
Question 2
What is the slope of the line through (2, 3) and (5, 11)?
A) 8338
B) 3883
1
,C) 2
D) 4
Answer: A) 8338
Rationale: Slope m=11− 35− 2=83m=5− 211− 3=38.
Question 3
A car rental charges $30 per day plus $0.20 per mile.
Which equation gives total cost C for d days and m miles?
A) C=30d+0.20mC=30d+0.20m
B) C=30m+0.20dC=30m+0.20d
C) C=30+0.20(d+m)C=30+0.20(d+m)
D) C=30dmC=30dm
Answer: A) C=30d+0.20mC=30d+0.20m
Rationale: Daily rate times days plus per-mile rate times
miles.
Question 4
2
,The y-intercept of y=− 4x+10y=− 4x+10 is:
A) (0, -4)
B) (0, 10)
C) (10, 0)
D) (-4, 0)
Answer: B) (0, 10)
Rationale: In y=mx+by=mx+b, b is y-intercept → 10.
Question 5
Which is the vertex of y=(x− 3)2+2y=(x− 3)2+2?
A) (3, 2)
B) (-3, 2)
C) (3, -2)
D) (-3, -2)
Answer: A) (3, 2)
Rationale: Vertex form y=a(x− h)2+ky=a(x− h)2+k →
vertex at (h, k).
3
, Question 6
Solve the
system: y=2x+1y=2x+1 and y=− x+7y=− x+7
A) (2, 5)
B) (3, 7)
C) (1, 3)
D) (4, 9)
Answer: A) (2, 5)
Rationale: 2x+1=− x+72x+1=− x+7 → 3x=63x=6 →
x=2x=2, then y=5y=5.
Question 7
A population grows
exponentially: P(t)=500(1.04)tP(t)=500(1.04)t, t in years.
The annual growth rate is:
A) 0.04%
B) 4%
4
