12.Practice.Tests.for.the.SAT_2015-2016_1128p

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12 Practice Tests for the SAT 834 Practice Test Nine Answers and Explanations If there are 2 ounces of alcohol left after starting with 16 ounces, then 1 6 - 2 = 1 4 ounces must have evaporated, so the correct answer is 14, (E). 10. B Difficulty: High Strategic Advice: The shaded region is one of four equal pieces left when the circle is subtracted from the square. So to find the area of the shaded region, you must subtract the area of the circle from the area of the square and then take f of this difference. You must first find the area of the circle and the area of the square. To find the area of the circle, you must know its radius. Getting to the Answer: You're told that the circumference of the circle is 47t. You also know that the circumference C of a circle is related to its radius r by the formula C = 2w. So here, 47t = 2w and r = 2. The area of the circle is w2, which equals 7t(2)2 or 47t. To find the area of the square, you must know the length of its side. If you draw in the diameter of the circle whose endpoints are the point where the circle touches side BC of the square and the point where the circle touches side AD of the square, you'll see that the side of the square is equal in length to the diameter of the circle. The radius of the circle is 2, so its diameter, which is twice the radius, is 2 x 2 or 4. Since the side of the square is 4, its area is its side squared or 42, which is 16. The area of the square is 16 and the area of the circle is 47t, so the area outside the circle and inside the square is 1 6 - 47t. So the area of the shaded region is 1 6 47t = 4 _ 7t. 11. B Difficulty: Medium Strategic Advice: Drawing a diagram is the key to solving this problem. Getting to the Answer: Draw two parallel lines, m and n; now draw three different transversals through them, trying to form the least number of points of intersection. From the diagram above, you can see that the number is 4, since the three transversals can pass through the first parallel line at different points, yet pass through a common point on the second parallel line. 12. D Difficulty: Medium Strategic Advice: Think about the graph of each answer choice. If several look similar, or if you're not sure what an equation should look like when graphed, try plugging in the information given in the figure above. Getting to the Answer: For instance, you could use the information for the year 1 992. This is 1 992-1 980 = 12 years after the study began, so t = 12. From the graph, d = 800. Plug these numbers into each equation to see which one is true: (100)2 .lf = (100)23 = (100)8 = 800, so (D) is correct. 13. E Difficulty: Medium Strategic Advice: Remember, the value of r(x) is shown by the y-value of each point. Getting to the Answer: When r(x) = 0, the graph touches the x-axis. This graph touches the x-axis at x = -5 and x = - 1 . m n
12 Practice Tests for the SAT Practice Test Nine Answers and Explanations 835 I 14. E Difficulty: High Strategic Advice: Inequalities work just like equations, with the exception that if you multiply or divide by a negative number, you must change the direction of the sign. Remember that either a positive or a negative number will produce a positive number when squared. Finding the negative square root of a number is the same as multiplying the inequality by -1, so you have to change the direction of the sign for the negative square root. Getting to the Answer: .c r:r; b ac = va g3 = vg2 2 .3 V92 > 4 (Vg'2)3 > (4)3 g2 >64 g> 8 org
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