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50.
E
EXPLANATORY ANSWERS
1. The correct answer is (D). This first problem is, as we would anticipate, an easy one. Simply sub-
stitute –4 for b in the equation:
x = (–4+3)
2
x = (–1)
2
x = 1
2. The correct answer is (B). Find the minimum and maximum values of f (x) by testing the limits of
x. For x = 1:
f (x) = 4(1) – 1 = 3
For x = 3:
f(x) = 4(3) – 1 = 12 – 1 = 11
Therefore, f(x) must be greater than 3 but less than 11.
3. The correct answer is (D). There are at least two ways to approach this problem. One is to solve for
k. Begin by cross–multiplying:
5(k + 6) = 7(k + 4)
5k + 30 = 7k + 28
2 = 2k
k = 1
You could also solve the problem by substituting the answer values into the equation for k. Obvi-
ously, the values provided by (A), (B), and (C) will require more complex calculations than those pro-
vided by (D) and (E). So start with (D):
Since 1 = 1, this proves that (D) is correct.

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4. The correct answer is (E). This problem requires you to think about the concept of an average. An
average is the sum of the values to be averaged divided by the number of values in the average.
Therefore:
Which means the total value of the 13 items is:
Sum = $12 
× 13 = $156
The sum of the 12 items that remain after the one is removed is:
The difference between the two sums is the value of the item removed:
$156 – $132 = $24
5. The correct answer is (B).
In right triangle I:
In right triangle II: