Wgu C957 Applied Algebra Oa Exam 2026 Actual Real Exam Questions And Answers 100.Pdf

WGU C957 APPLIED ALGEBRA OA EXAM
2026 ACTUAL REAL EXAM QUESTIONS
AND ANSWERS 100% PASS
GUARANTEED GRADED A+
WGU C957 Applied Algebra — Practice Questions

1. Solve: 3𝑥 − 7 = 14

A. 5
B. 6
C. 7
D. 8

Answer: C. 7

Rationale:
Add 7 to both sides:
3𝑥 = 21.
Divide by 3:
𝑥 = 7.



2. Solve: 2(𝑥 + 5) = 18

A. 2
B. 4
C. 6
D. 9

Answer: B. 4

Rationale:
Divide both sides by 2:
𝑥 + 5 = 9.
Subtract 5:
𝑥 = 4.

,3. What is the slope of the line passing through (2, 3)and (6, 11)?

A. 1
B. 2
C. 3
D. 4

Answer: B. 2

Rationale:
Use
𝑦2 − 𝑦1
𝑚=
𝑥2 − 𝑥1
11 − 3 8
𝑚= = = 2.
6−2 4


4. Which equation represents a line with slope 3 and y-intercept −4?

A. 𝑦 = −4𝑥 + 3
B. 𝑦 = 3𝑥 − 4
C. 𝑦 = 4𝑥 − 3
D. 𝑦 = 3𝑥 + 4

Answer: B. 𝑦 = 3𝑥 − 4

Rationale:
Slope-intercept form is 𝑦 = 𝑚𝑥 + 𝑏, where 𝑚is the slope and 𝑏is the y-intercept. Therefore:

𝑦 = 3𝑥 − 4.



5. Evaluate 𝑓(𝑥) = 2𝑥 2 − 3𝑥 + 1when 𝑥 = 2.

A. 1
B. 2
C. 3
D. 5

Answer: C. 3

,Rationale:
Substitute 𝑥 = 2:

𝑓(2) = 2(22 ) − 3(2) + 1
= 8 − 6 + 1 = 3.



6. Factor: 𝑥 2 + 7𝑥 + 12

A. (𝑥 + 2)(𝑥 + 6)
B. (𝑥 + 3)(𝑥 + 4)
C. (𝑥 − 3)(𝑥 − 4)
D. (𝑥 + 1)(𝑥 + 12)

Answer: B. (𝑥 + 3)(𝑥 + 4)

Rationale:
Find two numbers whose product is 12 and whose sum is 7: 3 and 4.

𝑥 2 + 7𝑥 + 12 = (𝑥 + 3)(𝑥 + 4).



7. Solve: 𝑥 2 − 9 = 0

A. 𝑥 = 3only
B. 𝑥 = −3only
C. 𝑥 = ±3
D. 𝑥 = 9

Answer: C. 𝑥 = ±3

Rationale:

𝑥2 = 9


Taking the square root gives:

𝑥 = ±3.


𝑥6
8. Simplify: 𝑥 2

, A. 𝑥 3
B. 𝑥 4
C. 𝑥 8
D. 𝑥12

Answer: B. 𝑥 4

Rationale:
When dividing powers with the same base, subtract the exponents:

𝑥6
= 𝑥 6−2 = 𝑥 4 .
𝑥2


9. Solve: 5𝑥 + 2 < 17

A. 𝑥 < 3
B. 𝑥 > 3
C. 𝑥 < 4
D. 𝑥 > 4

Answer: A. 𝑥 < 3

Rationale:
Subtract 2:

5𝑥 < 15.


Divide by 5:

𝑥 < 3.


1
10. What is the domain of 𝑓(𝑥) = 𝑥−5?

A. All real numbers
B. 𝑥 = 5only
C. All real numbers except 𝑥 = 5
D. 𝑥 > 5

Answer: C. All real numbers except 𝑥 = 5