,
, MAT 202 Algebra Final Exam Review and
Answer Key|2026 UPDATE| 100% CORRECT-
JERSEY COLLEGE
SECTION 1: LINEAR EQUATIONS AND
INEQUALITIES (Questions 1-8)
Question 1
Solve for x: 3(x - 4) + 2x = 5x - 12
A. x = 0
B. x = 4
C. x = -4
D. All real numbers
Correct Answer: D. All real numbers
Rationale: 3(x - 4) + 2x = 5x - 12 → 3x - 12 + 2x = 5x - 12 → 5x - 12 = 5x -
12. This is an identity (true for all x), so the solution is all real numbers. An
identity occurs when both sides of the equation are equivalent expressions.
Subtopic: Linear Equations – Identity
Question 2
Solve for x: 4(2x - 5) = 6x + 2
A. x = 3
B. x = 11
C. x = 9
D. x = -3
, MAT 202 Algebra Final Exam Review and
Answer Key|2026 UPDATE| 100% CORRECT-
JERSEY COLLEGE
SECTION 1: LINEAR EQUATIONS AND
INEQUALITIES (Questions 1-8)
Question 1
Solve for x: 3(x - 4) + 2x = 5x - 12
A. x = 0
B. x = 4
C. x = -4
D. All real numbers
Correct Answer: D. All real numbers
Rationale: 3(x - 4) + 2x = 5x - 12 → 3x - 12 + 2x = 5x - 12 → 5x - 12 = 5x -
12. This is an identity (true for all x), so the solution is all real numbers. An
identity occurs when both sides of the equation are equivalent expressions.
Subtopic: Linear Equations – Identity
Question 2
Solve for x: 4(2x - 5) = 6x + 2
A. x = 3
B. x = 11
C. x = 9
D. x = -3
