College Math Placement Test College Algebra 4

Question 1

Which of the following represents a one-to-one function?

Accepted Answer

f(x) = x³

Answer

f(x) = x²

Answer

f(x) = |x|

Answer

f(x) = sin(x)

Question 2

What is the remainder when x⁴ - 3x² + 2 is divided by (x - 1)?

Accepted Answer

0

Answer

1

Answer

2

Answer

-1

Question 3

Simplify: (2i)(3 - 4i) where i = √(-1)

Accepted Answer

8 + 6i

Answer

6i - 8i²

Answer

6 - 8i

Answer

-6 + 8i

Question 4

What is the horizontal asymptote of f(x) = (3x² + 2) / (x² - 5)?

Accepted Answer

y = 3

Answer

y = 0

Answer

y = -2/5

Answer

No horizontal asymptote

Question 5

Solve: 2^(x+1) = 5^x

Accepted Answer

x = ln(2)/(ln(5) - ln(2))

Answer

x = ln(5)/ln(2)

Answer

x = ln(10)

Answer

x = 1

Question 6

A polynomial has roots x = 2 (multiplicity 2) and x = -1. What is the lowest-degree polynomial with these roots?

Accepted Answer

x³ - 3x² + 4

Answer

x³ - 3x + 2

Answer

x³ + 3x² - 4

Answer

x² - x - 2

Question 7

If log₁₀(x) = 2.5, what is the value of log₁₀(x²)?

Accepted Answer

5

Answer

6.25

Answer

1.25

Answer

12.5