College Math Placement Test Intermediate Algebra 4

Question 1

Which of the following is equivalent to (x² − 9)/(x² − x − 6)?

Accepted Answer

(x + 3)/(x + 2)

Answer

(x − 3)/(x − 2)

Answer

(x + 3)/(x − 2)

Answer

(x − 3)/(x + 2)

Question 2

Solve: √(x + 7) = 4

Accepted Answer

x = 9

Answer

x = 3

Answer

x = 23

Answer

x = −3

Question 3

What are the x-intercepts of f(x) = x² + 2x − 15?

Accepted Answer

x = 3 and x = −5

Answer

x = −3 and x = 5

Answer

x = 3 and x = 5

Answer

x = −3 and x = −5

Question 4

If f(x) = 2x − 1, what is f⁻¹(x)?

Accepted Answer

(x + 1)/2

Answer

(x − 1)/2

Answer

2x + 1

Answer

1/(2x − 1)

Question 5

Which value of k makes 4x² + kx + 9 a perfect square trinomial?

Accepted Answer

12

Answer

−12

Answer

6

Answer

36

Question 6

What is the simplified form of (3x⁻²y)/(x³y⁻¹)?

Accepted Answer

3y²/x⁵

Answer

3x/y²

Answer

3/(x⁵y²)

Answer

3x⁵/y²

Question 7

An investment doubles every 6 years. Which equation models the amount A after t years starting at $1,000?

Accepted Answer

A = 1000 · 2^(t/6)

Answer

A = 1000 · 2^(6t)

Answer

A = 1000 · 6^(2t)

Answer

A = 1000 · (t/6)²