College Math Placement Test College Algebra 3

Question 1

What are the zeros of f(x) = x³ - x² - 6x?

Accepted Answer

0, 3, -2

Answer

0, -3, 2

Answer

1, 3, -2

Answer

0, 6, -1

Question 2

What is the inverse of the function f(x) = (2x + 1) / (x - 3)?

Accepted Answer

f⁻¹(x) = (3x + 1)/(x - 2)

Answer

(x + 1)/(3x - 2)

Answer

(3x - 1)/(x + 2)

Answer

(2x - 3)/(x + 1)

Question 3

A system of equations has 2x + 3y = 12 and 4x - y = 5. What is the value of x?

Accepted Answer

x = 27/14

Answer

x = 3

Answer

x = 2

Answer

x = 41/14

Question 4

Which of the following is a factor of x³ + 8?

Accepted Answer

x + 2

Answer

x - 2

Answer

x² - 2x + 4

Answer

x² + 2x - 4

Question 5

If 3^(2x) = 81, what is x?

Accepted Answer

2

Answer

4

Answer

3

Answer

1

Question 6

What is the sum of the geometric series 3 + 6 + 12 + ... + 384?

Accepted Answer

765

Answer

768

Answer

762

Answer

384

Question 7

The graph of which equation is a circle with center (-1, 4) and radius 5?

Accepted Answer

(x+1)² + (y-4)² = 25

Answer

(x-1)² + (y+4)² = 25

Answer

(x+1)² + (y-4)² = 5

Answer

(x-1)² + (y-4)² = 25