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

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12 Practice Tests for the SAT 488 Practice Test Five Answers and Explanations 8. D Difficulty: Medium Strategic Advice: Adjacent angles are supplementary and equal 180°, and vertical angles are congruent, which means they are equal to one another. Getting to the Answer: Sa + 4a = 180 9a = 180 0 =20 b=Sa 5 x 20 = 100 9. c Difficulty: Medium Strategic Advice: Factor to solve the first equation. Use those solutions to find the possible solutions to the second equation. Getting to the Answer: x2 +x= 20 x2 +x-20=0 (x + S)(x - 4) X=-5 X=4 x2 -x X=-5 (-5)2 - (-5) = 25 + 5 = 30 or X=4 (4)2 -4= 16-4= 12 The answer is (C). 10. B Difficulty: Medium Strategic Advice: The distance on the graph, except during the resting points, should always be increasing. Getting to the Answer: Find a graph that increases quickly until the 2 on the y-axis, then is a horizontal line for l 0 minutes on the x-axis, then slowly increases until the 5-mile mark on the y-axis. The only graph that follows this pattern is (B). 11. E Difficulty: Medium Strategic Advice: If 4 hats need to be the same color, decide how many of each other color of hats could be chosen before having 4 of any color. Getting to the Answer: After 12 selections, it is possible to have chosen boxes containing 3 hats of each color and still not have 4 of any color. So on the 13th selection, you will have chosen the 4th hat of one of the colors. 12. c Difficulty: Medium Strategic Advice: To find the sum of the measures of the interior angles of a polygon, use the equation (n - 2) x 1 80, where n is the total number of angles in the polygon. A regular polygon means that all of the interior angles and sides are equal. Getting to the Answer: Sum of the interior angles: (8 - 2) x 180 = 1,080 Measure of each interior angle: 1 ·80 = 135 Angle C is 1 35°. Measure of all the interior angles of polygon BCOO: ( 4 - 2) x 180 = 360 You know that the angle formed by the line and angle B is equal to the angle formed by the line and angle D because the lengths of both lines are equal. This is because they both run from the origin of the polygon to an angle on the polygon. 360 - 135 - 90 = 135 = measure of angle B and 0. l 5 = 67.5 = measure of angle B. 13. c Difficulty: Medium Strategic Advice: Use everything within the parentheses to define x, not just the first term. Getting to the Answer: f(t - r) = 6(t - r) = 6t - 6r
12 Practice Tests for the SAT / Practice Test Five Answers an d Explanations 489 14. c Difficulty: High Strategic Advice: To find the measure of an arc of a circle, divide the circumference of the circle by the fraction of the circle the arc covers. Getting to the Answer: The area of the circle is w2 = 1 67t, so the radius = 4; the diameter = 8. Circumference of the circle: dn = 8n Measure of the arc: s; = n Perimeter of the region: 2r + measure of the arc Perimeter of the region: 8 + 7t 15. A Difficulty: High Strategic Advice: Sometimes you may have to think about problems in a different way than how they're presented. In this problem, imagine that the equations given are equations of lines on a coordinate plane. Two equations have no common solutions when their lines are parallel; therefore, put these two equations into slope-intercept form and make the slopes equal. Getting to the Answer: 3x -4y= 10 -4y=-3x + lO y= .2. x- 2 4 2 6X +l!V}'= l6 y= -6 x+ 1.§. w w 3 - -6 4--w 3w =-24 W =-8 16. E Difficulty: High Strategic Advice: To determine if the some of the conditions are true or false, you need to calculate how many total shots were taken and how many total shots were made. Getting to the Answer: I. True, because, 25 out of 30 people hit the target on their first try. Eliminate (B) and (D). II. True. You can calculate the total number of made shots: 5 people made 0 shots 0 6 people made 1 shot 6 7 people made 2 shots 7 x 2 = l 4 8 people made 3 shots 8 x 3 = 24 4 people made 4 shots 4 x 4 = 1 6 Adding these shows that 60 shots were made. Since each person can only miss once, there must have been exactly 30 misses. Ill. True, the most times a contestant hit the target in a row was 4. SECTION 8 1. B Difficulty: Low How might winning the championship make the coach's leadership skills appear? If at first people questioned, or doubted, the coach's leadership, then winning the championship would most likely make people realize he was quite skilled or capable of managing his team. Look for a word that means skilled. In (A), the coach's leadership would not appear remiss because he won the championship. Choice (B) is a perfect fit for your prediction. In (C), nothing in the sentence explores whether or not the coach was humorous. In (D), the fact that the coach won his first championship would not necessarily reveal he was hesitant about leading his team. In (E), if the coach had just won the championship, then he would most likely not be contemptuous, or disapproving, of running his team.
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