UGA MATH PLACEMENT TEST QUESTIONS AND
VERIFIED ANSWERS (2026–2027)
Complete Practice Test Bank | 200 Questions |
University of Georgia
EXAM OVERVIEW
The University of Georgia offers two math placement exams:
DMAT (Department Math Placement Exam):
• Cost: $35
• Questions: 26 multiple-choice questions
• Time: 1 hour
• Calculator: NOT permitted
• Attempts: Only one attempt
• Scoring: Exempts MATH 1101 (score 12-15) or MATH 1113 (score
16+)
• Credit: No course credit, but exemptions satisfy core requirements
ALEKS Placement Exam:
• Cost: $25
• Time: 1.5-2 hours
• Attempts: Up to 5 attempts with 48 hours between attempts
• Scoring: Score 76+ grants permission to register for MATH 2250
(Calculus)
• Access: 6 months of Preparation and Learning Modules included
Topics Covered: Arithmetic, linear equations, distance, geometry of lines,
polynomial division, factoring, inequalities, quadratic equations, function
,values, rational expressions, radicals, exponents, absolute values, word
problems, graphs, logarithms, asymptotes, trigonometry, and more .
QUESTION 1
Solve for x: 3x + 7 = 22
A) x = 3
B) x = 5
C) x = 7
D) x = 9
Correct Answer: B) x = 5
Rationale: Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5 .
QUESTION 2
What is the slope-intercept form of a linear equation?
A) y = mx + b
B) y = ax² + bx + c
C) ax + by = c
D) y - y₁ = m(x - x₁)
Correct Answer: A) y = mx + b
Rationale: The slope-intercept form is y = mx + b, where m is the slope and b
is the y-intercept .
,QUESTION 3
Which formula is the point-slope form of a line?
A) y = mx + b
B) y - y₁ = m(x - x₁)
C) ax + by = c
D) d² = Δx² + Δy²
Correct Answer: B) y - y₁ = m(x - x₁)
Rationale: Point-slope form is y - y₁ = m(x - x₁), used when a point (x₁, y₁)
and slope m are known .
QUESTION 4
The standard form of a linear equation is:
A) y = mx + b
B) y - y₁ = m(x - x₁)
C) ax + by = c
D) d² = Δx² + Δy²
Correct Answer: C) ax + by = c
Rationale: The standard form is ax + by = c, where a, b, and c are constants .
QUESTION 5
What is the distance formula?
, A) d = mx + b
B) d² = Δx² + Δy²
C) d = (y₂ - y₁)/(x₂ - x₁)
D) d = √(Δx + Δy)
Correct Answer: B) d² = Δx² + Δy²
Rationale: The distance formula is d² = Δx² + Δy², which calculates the
distance between two points .
QUESTION 6
If two lines have equal slopes, they are:
A) Perpendicular
B) Parallel
C) Intersecting
D) Skew
Correct Answer: B) Parallel
Rationale: If slopes are equal, the lines are parallel .
QUESTION 7
If two lines have slopes that are opposite reciprocals, they are:
A) Parallel
B) Perpendicular
C) Intersecting at 45°
D) Skew
VERIFIED ANSWERS (2026–2027)
Complete Practice Test Bank | 200 Questions |
University of Georgia
EXAM OVERVIEW
The University of Georgia offers two math placement exams:
DMAT (Department Math Placement Exam):
• Cost: $35
• Questions: 26 multiple-choice questions
• Time: 1 hour
• Calculator: NOT permitted
• Attempts: Only one attempt
• Scoring: Exempts MATH 1101 (score 12-15) or MATH 1113 (score
16+)
• Credit: No course credit, but exemptions satisfy core requirements
ALEKS Placement Exam:
• Cost: $25
• Time: 1.5-2 hours
• Attempts: Up to 5 attempts with 48 hours between attempts
• Scoring: Score 76+ grants permission to register for MATH 2250
(Calculus)
• Access: 6 months of Preparation and Learning Modules included
Topics Covered: Arithmetic, linear equations, distance, geometry of lines,
polynomial division, factoring, inequalities, quadratic equations, function
,values, rational expressions, radicals, exponents, absolute values, word
problems, graphs, logarithms, asymptotes, trigonometry, and more .
QUESTION 1
Solve for x: 3x + 7 = 22
A) x = 3
B) x = 5
C) x = 7
D) x = 9
Correct Answer: B) x = 5
Rationale: Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5 .
QUESTION 2
What is the slope-intercept form of a linear equation?
A) y = mx + b
B) y = ax² + bx + c
C) ax + by = c
D) y - y₁ = m(x - x₁)
Correct Answer: A) y = mx + b
Rationale: The slope-intercept form is y = mx + b, where m is the slope and b
is the y-intercept .
,QUESTION 3
Which formula is the point-slope form of a line?
A) y = mx + b
B) y - y₁ = m(x - x₁)
C) ax + by = c
D) d² = Δx² + Δy²
Correct Answer: B) y - y₁ = m(x - x₁)
Rationale: Point-slope form is y - y₁ = m(x - x₁), used when a point (x₁, y₁)
and slope m are known .
QUESTION 4
The standard form of a linear equation is:
A) y = mx + b
B) y - y₁ = m(x - x₁)
C) ax + by = c
D) d² = Δx² + Δy²
Correct Answer: C) ax + by = c
Rationale: The standard form is ax + by = c, where a, b, and c are constants .
QUESTION 5
What is the distance formula?
, A) d = mx + b
B) d² = Δx² + Δy²
C) d = (y₂ - y₁)/(x₂ - x₁)
D) d = √(Δx + Δy)
Correct Answer: B) d² = Δx² + Δy²
Rationale: The distance formula is d² = Δx² + Δy², which calculates the
distance between two points .
QUESTION 6
If two lines have equal slopes, they are:
A) Perpendicular
B) Parallel
C) Intersecting
D) Skew
Correct Answer: B) Parallel
Rationale: If slopes are equal, the lines are parallel .
QUESTION 7
If two lines have slopes that are opposite reciprocals, they are:
A) Parallel
B) Perpendicular
C) Intersecting at 45°
D) Skew
