Rasmussen MAT 121 College Algebra Final Exam 2026/2027 | 100 Verified Questions & Answers | Instant Download

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RASMUSSEN UNIVERSITY | SCHOOL OF LIBERAL ARTS AND SCIENCES
MAT 121 | College Algebra
Professional College Algebra Candidates | 2026/2027 Edition




COLLEGE ALGEBRA
FINAL EXAM 2026/2027
Verified Questions • Complete Answer Key • Detailed Rationales



INSTITUTION
Rasmussen University | School of Liberal Arts and Sciences
PROGRAM
College Algebra (MAT 121)
COURSE CODE
MAT 121
EXAM TITLE
Rasmussen College Algebra Final Exam 2026/2027 | Verified Questions
COURSE TITLE
College Algebra
ACADEMIC YEAR
2026/2027
TOTAL QUESTIONS
100 Questions
CORE DOMAINS
7 Domains
PASSING STANDARD
70% or Higher


Core Domains: Linear Equations, Inequalities & Functions • Quadratic Equations & Functions • Polynomial & Rational Functions • Exponential & Logarithmic
Functions • Systems of Equations & Matrices • Sequences, Series & Conic Sections • Applications & Problem Solving
2026/2027 Edition — Aligned with the Rasmussen University MAT 121 College Algebra curriculum, mathematical reasoning standards, and evidence-
based algebraic problem-solving frameworks


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Academic Year 2026/2027


MAT 121 | 2026/2027


ACTUAL QUESTIONS
Domain 1: Linear Equations, Inequalities & Functions
Question 1. Solve for x: 3x - 7 = 14.?
A. x = 7
B. x = 5
C. x = 3
D. x = 21
Correct Answer: A
Rationale: Add 7 to both sides: 3x = 21. Divide by 3: x = 7.



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Question 2. What is the solution to the inequality -2x + 5 > 11?
A. x > -3
B. x < -3
C. x < 3
D. x > 3
Correct Answer: B
Rationale: Subtract 5: -2x > 6. Divide by -2 and reverse the inequality: x < -3.

Question 3. Which of the following is the slope-intercept form of a linear equation?
A. Ax + By = C
B. x = my + b
C. y = mx + b
D. y - y1 = m(x - x1)
Correct Answer: C
Rationale: Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Question 4. What is the slope of the line passing through the points (2, 5) and (6, 13)?
A. 1/2
B. 4
C. 8
D. 2
Correct Answer: D
Rationale: Slope m = (13 - 5)/(6 - 2) = 8/4 = 2.

Question 5. Solve the compound inequality: -3 < 2x + 1 ≤ 7.?
A. -2 < x ≤ 3
B. -4 < x ≤ 3
C. -2 < x ≤ 4
D. -1 < x ≤ 3
Correct Answer: A
Rationale: Subtract 1: -4 < 2x ≤ 6. Divide by 2: -2 < x ≤ 3.

Question 6. What is the domain of the function f(x) = √(x - 4)?
A. x > 4
B. x ≥ 4
C. x ≤ 4
D. All real numbers
Correct Answer: B
Rationale: The expression under the square root must be non-negative: x - 4 ≥ 0 ⇒ x ≥ 4.

Question 7. If f(x) = 2x - 5, what is f(3)?
A. 6
B. 11
C. 1
D. -1
Correct Answer: C
Rationale: f(3) = 2(3) - 5 = 6 - 5 = 1.

Question 8. Which graph represents a function?
A. A vertical line
B. A circle
C. A graph that fails the vertical line test
D. A graph that passes the vertical line test
Correct Answer: D
Rationale: A relation is a function if every vertical line intersects the graph at most once.

Question 9. Solve for x: |2x - 3| = 7.?
A. x = 5 or x = -2
B. x = 5 or x = 2

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C. x = -5 or x = 2
D. x = 5 only
Correct Answer: A
Rationale: 2x - 3 = 7 or 2x - 3 = -7. Solving yields x = 5 or x = -2.

Question 10. What is the y-intercept of the line 4x - 3y = 12?
A. 4
B. -4
C. 3
D. -3
Correct Answer: B
Rationale: Set x = 0: -3y = 12 ⇒ y = -4. The y-intercept is (0, -4).

Question 11. Which of the following is the equation of a horizontal line?
A. x = 5
B. y = x
C. y = -3
D. x + y = 0
Correct Answer: C
Rationale: A horizontal line has the form y = k, where k is a constant.

Question 12. Solve: 5(x - 2) = 3x + 4.?
A. x = 3
B. x = 5
C. x = 1
D. x = 7
Correct Answer: D
Rationale: 5x - 10 = 3x + 4. Subtract 3x: 2x - 10 = 4. Add 10: 2x = 14. x = 7.

Question 13. What is the range of the linear function f(x) = -2x + 1 if the domain is all real numbers?
A. All real numbers
B. y ≥ 1
C. y ≤ 1
D. y > 0
Correct Answer: A
Rationale: A non-constant linear function with unrestricted domain has range equal to all real numbers.

Question 14. Find the equation of the line with slope 3 that passes through the point (1, 4).?
A. y = 3x + 4
B. y = 3x + 1
C. y = 3x - 1
D. y = x + 3
Correct Answer: B
Rationale: Using point-slope: y - 4 = 3(x - 1) ⇒ y - 4 = 3x - 3 ⇒ y = 3x + 1.

Question 15. Solve the absolute value inequality: |x + 2| < 5.?
A. -5 < x < 5
B. -3 < x < 7
C. -7 < x < 3
D. x < -7 or x > 3
Correct Answer: C
Rationale: -5 < x + 2 < 5. Subtract 2: -7 < x < 3.

Domain 2: Quadratic Equations & Functions
Question 16. Solve by factoring: x² - 5x + 6 = 0.?
A. x = -2 or x = -3
B. x = 1 or x = 6
C. x = -1 or x = -6


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