College Math Placement Test Intermediate Algebra 2

Question 1

Which of the following is the solution set of |2x − 5| = 9?

Accepted Answer

x = 7 or x = −2

Answer

Setting 2x−5=9 gives x=7, and setting 2x−5=−9 gives x=−2.

Question 2

What is the vertex of the parabola y = 2(x − 3)² + 4?

Accepted Answer

(3, 4)

Answer

In vertex form y = a(x−h)²+k, the vertex is (h, k) = (3, 4).

Question 3

If f(x) = x² − 4 and g(x) = x + 2, what is (f/g)(x) for x ≠ −2?

Accepted Answer

x − 2

Answer

f(x)/g(x) = (x²−4)/(x+2) = (x−2)(x+2)/(x+2) = x−2 for x ≠ −2.

Question 4

Solve for x: 3^(2x) = 27

Accepted Answer

x = 3/2

Answer

27 = 3³, so 3^(2x) = 3³ means 2x = 3, giving x = 3/2.

Question 5

Which inequality is equivalent to −3x + 6 < 0?

Accepted Answer

x > 2

Answer

Subtracting 6 gives −3x < −6, then dividing by −3 (flip sign) gives x > 2.

College Math Placement Test Practice Test