WGU C957 Applied Algebra OA | 300 Practice Questions with Verified Answers & Rationales | Linear Functions, Systems, Quadratics, Exponentials, Data Analysis, Financial Algebra | 2026 Update | Graded A+

WGU C957 Applied Algebra – 300 Practice
Questions & Answers Based on Official C957
Competencies | Complete OA Exam
Preparation


EXAM STRUCTURE & INSTRUCTIONS
Course: WGU C957 Applied Algebra
Assessment: Objective Assessment (OA)
Content Areas:
Linear Functions & Modeling (25%)
Systems of Linear Equations & Inequalities (20%)
Quadratic & Exponential Functions (20%)
Data Analysis & Regression (15%)
Financial Algebra & Applications (10%)
Logical Reasoning & Problem Solving (10%)
Instructions: Select the single best answer for each question. For
calculation questions, show your work to arrive at the correct answer.


DOMAIN I: Linear Functions & Modeling (Questions 1-75)
1. What is the slope-intercept form of a linear equation?
A) y=mx2+by=mx2+b
B) y=mx+by=mx+b
C) y=ax+by=ax+b

,D) y=m(x−h)+ky=m(x−h)+k
✅ Correct Answer: B - y=mx+by=mx+b
📖 Rationale: Slope-intercept form is y=mx+by=mx+b, where mm is the
slope and bb is the y-intercept. This is the standard form for linear
equations .
2. In the equation y=3x+5y=3x+5, what is the slope?
A) 3
B) 5
C) -3
D) -5
✅ Correct Answer: A - 3
📖 Rationale: In slope-intercept form y=mx+by=mx+b, the coefficient
of xx is the slope mm. Here, m=3m=3.
3. In the equation y=−2x+7y=−2x+7, what is the y-intercept?
A) -2
B) 2
C) 7
D) -7
✅ Correct Answer: C - 7
📖 Rationale: In y=mx+by=mx+b, the constant term bb is the y-intercept.
Here, b=7b=7.
4. What is the slope of the line passing through the points (2, 3) and (5,
9)?
A) 2
B) 3
C) 4

,D) 6
✅ Correct Answer: A - 2
📖 Rationale: Slope formula: m=y2−y1x2−x1=9−35−2=63=2m=x2−x1y2−y1
=5−29−3=36=2.
5. What is the slope of the line passing through the points (-1, 4) and (3, -
4)?
A) 2
B) -2
C) 0
D) undefined
✅ Correct Answer: B - -2
📖 Rationale: m=−4−43−(−1)=−84=−2m=3−(−1)−4−4=4−8=−2.
6. What is the y-intercept of the line passing through (0, 5) with slope 4?
A) 0
B) 4
C) 5
D) 9
✅ Correct Answer: C - 5
📖 Rationale: The y-intercept is the y-coordinate when x=0x=0. The point
(0, 5) gives b=5b=5.
7. Write the equation of the line with slope 2 and y-intercept -3.
A) y=2x−3y=2x−3
B) y=−3x+2y=−3x+2
C) y=2x+3y=2x+3
D) y=−2x−3y=−2x−3
✅ Correct Answer: A - y=2x−3y=2x−3
📖 Rationale: Substitute m=2m=2 and b=−3b=−3 into y=mx+by=mx+b.

, 8. Write the equation of the line passing through (0, 4) with slope -1.
A) y=−x+4y=−x+4
B) y=x+4y=x+4
C) y=−x−4y=−x−4
D) y=x−4y=x−4
✅ Correct Answer: A - y=−x+4y=−x+4
📖 Rationale: The y-intercept is 4 (from the point (0,4)),
so y=−1x+4y=−1x+4.
9. What is the x-intercept of the line y=2x−6y=2x−6?
A) -6
B) -3
C) 3
D) 6
✅ Correct Answer: C - 3
📖 Rationale: Set y=0y=0: 0=2x−60=2x−6 → 2x=62x=6 → x=3x=3.
10. What is the x-intercept of the line y=−3x+9y=−3x+9?
A) -9
B) -3
C) 3
D) 9
✅ Correct Answer: C - 3
📖 Rationale: 0=−3x+90=−3x+9 → 3x=93x=9 → x=3x=3.
11. What is the y-intercept of the line 2x+3y=122x+3y=12?
A) 2
B) 3
C) 4