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In the Venn diagram below, circles S , C , and P represent farms raising sheep, cows, and pigs, respectively. How many of the 47 farms represented in the diagram do not raise cows? S C 12 10 2 4 P

Which of the following expressions is equivalent to x − x − 30 ?

Which of the following matrices is equal to 5 ? [0 −5]

The initial speed, in miles per hour, of a certain car that skids to a stop can be estimated by multiplying the length of the skid, in feet, by 35 and then taking the square root of the product. According to this method, what is the estimated initial speed, in miles per hour, of the car when it makes a 108 -foot skid? _

If 6y = 5x − 1 , then x = ? _ 6

The whole numbers 1 through 30 were each written on separate pieces of paper. Those 30 pieces of paper were put into a jar. One piece of paper will be randomly drawn from this jar. What is the probability that this piece of paper will have a prime number written on it? _ 1

For an angle with measure α in a right triangle, _ 5 _ 5 sin α = and tan α = . What is the value of cos α ? 13 12 _ 12

Which of the following expressions is equivalent to (y + 7) ? 3 2

Which of the following expressions is equivalent to ( x 2 − y 2 ) − ( 6 x 2 + 4xy − y 2 ) ?

Given i = √ −1 , what is √ 9 + √ −16 ?

The first 5 terms of an arithmetic sequence are 7 , 21 , 35 , 49 , and 63 . Let t n represent the n th term of the sequence. What is the value of t 25 ?

At a certain time of day, a flagpole casts a 9.0 -foot-long shadow and a nearby 4.0 -foot-tall fence post casts a 2.4 -foot-long shadow. Given that both the flagpole and the fence post are vertical and on level ground, what is the height, in feet, of the flagpole?

Let f (t) = 7 e + 1 . Which of the following numbers is closest to the value of f (5) ? −1

Which of the following expresses 40° in radians? _2

Let the function f be defined as f (x) = −9 x . In the standard (x,y) coordinate plane, the graph of y = f (x) undergoes a transformation such that the result is the graph of y = f (x) − 4 . Under this transformation the graph of y = f (x) is:

For all positive values of a , b , c , and d , when _1 2 a b + c = d , which of the following expressions is equal to b ? _ a (d − c)

On a trip, 2 sisters counted 1,430 vehicles. They divided the vehicles into categories: cars, trucks, and other. They noted the color of each as white, black, red, or other, as shown in the table. What is the probability that a randomly selected truck is black? White Black Red Other Total Car 118 62 97 197 474 Truck 100 31 116 232 479 Other 86 85 94 212 477 Total 304 178 307 641 1,430 _31

A regular hexagon is inscribed in a circle with diameter 18 inches, as shown. What is the perimeter, in inches, of the hexagon? 18 in

In the standard (x,y) coordinate plane, how many points are both 5 coordinate units from the origin and also 2 coordinate units from the line y = 0 ?

In nABC , if the measure of ∠A is less than the measure of ∠B , and the measure of ∠B is less than the measure of ∠C , what is the correct ordering of the side lengths, from least to greatest?

During a particular experiment, 2 events, A and B, can each occur. Events A and B are mutually exclusive during this experiment. Which of the following probabilities is 0 ?

The polynomial function defined by 3 2 p ( x ) = x + x − 8x − 12 has ( x − 3 ) as one of its linear factors. What are all and only the zeros of p ?

A tourism organization randomly selected 100 tourists finishing their summer visit to Spain. The organization asked them how many cities they had toured in the country. The table shows the results. Based on these data, for the population of tourists that visited Spain during the summer, what is the best estimate of the mean number of cities toured? Number of cities 1 2 3 Number of tourists 10 40 50

The table gives values of f (x) , g (x) , and h (x) for all positive integers x ≤ 5 . Given h (f (g (a) ) ) = 1 where a is a positive integer less than or equal to 5 , what is the value of a ? x f (x) g ( x) h ( x) 1 2 4 3 2 1 5 1 3 4 2 5 4 5 3 4 5 3 1 2

Each time Coin C is tossed, it lands faceup or facedown. The probability of landing faceup is 3 times the probability of landing facedown. In a certain game, the player wins $1.00 when Coin C lands faceup and the player wins $2.00 when Coin C lands facedown. To the nearest cent, what is the expected value of each toss of Coin C in this game?