Question 1: If f(x) = x
3
+ 1 and g(x) = |x - 5|, what is f(g(1))?
23
24
65
55
81
Question 2: The average of numbers (a + 9) and (a - 1) is equal to b, where a and b are integers. The product of the same two integers is equal to (b - 1)
2
. What is the value of a?
a = 9
a = 1
a = 0
a = 5
Question 3: If x
2
- nx - 32 = 0 when x = 4, what is the value of n?
-4
4
6
-2
Question 4: If a
2
= 2 and b(a + b) = 6, (a + 2b)
2
=
20
22
24
26
Question 5: Which value of x satisfies the inequality | 2x | < x + 1 ?
-1/2
1/2
1
-1
Question 6: What is f(f(2)) if f(x) = x
2
+ 2?
Question 7: Find the value of x if x + y = 17 and x - y = 5.
Question 8: If f(x) = |x| and g(x) = x
2
, how many solutions has f(x) = g(x)?
Question 9: If f(x) = (8x + 5)/(4x-7), what value does f(x) approach as x gets infinitely larger?
Question 10: A line has parametric equations x = t + 3 and y = t + 9. The slope of the line is:
Question 11: What is the sixth term of the expansion of (x/y - y/x)
9
?
84x/y
-12
-126y/x
66xy
Question 12: If the fourth and fifth terms of a geometric sequence are -1/18 and 1/54, what is the first term of the sequence?
8
-1
-1/2
3/2
Question 13: [(n+2)! - n!]/(n+1)! =
n + 1 + n/(n+1)
n/(n+1)
n + 1
(n+1)/n
Question 14: If (a + 2i)/(b - i) is a real number, then:
2a + b = 0
a + b = 0
a + 2b = 0
3a + 2b = 0
Question 15: Find the radius of the circle with the equation:
x
2
+ 2x + y
2
- 10y + 22 = 0
2
1/2
4
3
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