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UGA Math Placement Test Questions and Verified Answers (2026–2027) Complete University of Georgia

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UGA Math Placement Test Questions and Verified Answers (2026–2027) Complete University of Georgia

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UGA Math Placement Test Questions and Verified
Answers (2026–2027) Complete University of Georgia
Mathematics Placement Exam Prep Grade A+
Section 1: Linear Equations & Inequalities



Q1. Solve for x: 3x + 7 = 22



A) x = 3

B) x = 5

C) x = 7

D) x = 9



☑ Correct Answer: B



RATIONALE: 3x + 7 = 22 → 3x = 15 → x = 5




Q2. Solve the inequality: −3x > 12



A) x > −4

B) x < −4


1

,C) x > 4

D) x < 4



☑ Correct Answer: B



RATIONALE: When dividing by a negative number, flip the inequality sign: −3x >
12 → x < −4




Q3. Which equation has infinite solutions?



A) x = 5

B) 4 = 5

C) 5 = 5

D) 2x = 10



☑ Correct Answer: C



RATIONALE: A statement that is always true (5=5) has infinite solutions. x=5 has
one solution, 4=5 has zero solutions .




2

, Q4. Write the equation of a line with slope 2 that passes through point (1, 3).



A) y = 2x + 1

B) y = 2x + 3

C) y = 2x + 5

D) y = x + 2



☑ Correct Answer: A



RATIONALE: Point-slope form: y − 3 = 2(x − 1) → y − 3 = 2x − 2 → y = 2x + 1




Q5. Write the equation y = 2x − 5 in standard form.



A) 2x − y = 5

B) −2x + y = 5

C) 2x + y = 5

D) 2x − y = −5




3

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