College Algebra CLEP Exercises #3

Question 1: What is the sixth term of the expansion of (x/y - y/x)⁹

84x/y
140y²/x²
-126y/x
72x/y
-84

Question 2: For what real numbers a has the 4x² - 2ax + 3a = 0 equation two real roots?

a > 12
a < 0
a ≤ 0
a < 0 or a > 12
a ≤ 0 or a ≥ 12

Question 3:

The function f(x) = 2ax/b - a²x² - 1/b² is shown in the graph above. Which of the following must be true?

ab > 0
a/b ≥ 0
a > 0
b < 0
ab = 0

Question 4: If the fourth and fifth terms of a geometric sequence are -1/18 and 1/54, what is the first term of the sequence?

3/2
3
1/2
-1/2
2/3

Question 5: For what values of m is the line with the equation y = mx + 4 intersecting the line y = 1 in a point situated in the first quadrant?

m > 0
m < 0
m ≤ 0
m ≥ 0
m > 1/4

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