College Math Placement Test College Algebra 2

Question 1

Which of the following is the solution set of |2x - 3| < 7?

Accepted Answer

-2 < x < 5

Answer

-5 < x < 2

Answer

x < -2 or x > 5

Answer

x > 5

Question 2

What is the vertex of the parabola y = 2(x - 3)² + 5?

Accepted Answer

(3, 5)

Answer

(-3, 5)

Answer

(3, -5)

Answer

(-3, -5)

Question 3

If f(x) = x² - 4 and g(x) = x + 2, what is f(g(x))?

Accepted Answer

x² + 4x

Answer

x² + 4x + 4

Answer

x² + 4x + 4 - 4

Answer

x² - 2

Question 4

What is the domain of f(x) = √(x² - 9)?

Accepted Answer

x ≤ -3 or x ≥ 3

Answer

-3 ≤ x ≤ 3

Answer

x ≥ 3

Answer

All real numbers

Question 5

Solve for x: log₂(x) + log₂(x - 2) = 3

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 8

Answer

x = -2

Question 6

Which expression is equivalent to (x² - 5x + 6) / (x² - 4) for x ≠ ±2?

Accepted Answer

(x - 3)/(x + 2)

Answer

(x - 2)/(x + 3)

Answer

(x + 3)/(x - 2)

Answer

(x - 3)/(x - 2)

Question 7

An arithmetic sequence has first term 5 and common difference 3. What is the 20th term?

Accepted Answer

62

Answer

65

Answer

59

Answer

60