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

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10Bl 1 12 Practice Tests for the SAT Practice Test Twelve Answers and Explanations 13. 48 Difficulty: Medium Strategic Advice: Making a table is always an excellent way to approach rate questions. Getting to the Answer: Let d be the distance to/from the friend's house and solve for the time using t = 1-. r Rate To friend's 40 From friend's 60 Overall Time d 40 d 60 d d 40 + 60 Distance Now solve for d using the fact that the overall time was l hour: d d 40 + 60 = l 3d 2d 120 + 120 = l 5d 120 =1 d d 2d d = 1 ( 1 ;o) = 24 (This is the distance each way.) We're interested in the total distance of 2(24) = 48. 14. 192, 480, or 960 Difficulty: Medium Strategic Advice: The best way to do this problem is to use trial and error. Just choose three consecutive even integers and see if their product is a 3-digit number. Start with 2, 4, and 6 and go from there. Getting to the Answer: 2 x 4 x 6=48 That doesn't work, so now try 4, 6, and 8: 4 x 6 x 8 = 192 That combination works, so grid in 192. Other possible combinations are 6 x 8 x 10 = 480 and 8 x 10 x 12 = 960. 15. 75 Difficulty: High Strategic Advice: Since you're starting off with a group of 10 numbers and then removing 2 of them, the highest and the lowest, express the sum of the 10 numbers as the sum of the highest number, the lowest number, and the other 8 numbers. The sum of the 10 numbers is equal to the highest number + the lowest number + the sum of the other 8 numbers. Getting to the Answer: If you call the highest number h, the lowest number I, and the sum of the other 8 numbers 5, you can express the sum of the l 0 numbers as h +I+ S. Then the average of the 10 numbers is h + 1 6+ 5 , which you're given is 87. The average of the 8 numbers is just , and you're given that that's 90. You want to know the average of the 2 grades that were removed, or h ; 1. If = 90, then S = 90 x 8 = 720. And if h + 16 + 5 = 87, then h + I + S = 87 x 10 = 870. But you know that S = 720, so h + I + 720 = 870, and h + I= 150. Then the average of h and I is 1 0 , or 75. 1 16. o t· So pick a number for b that is between % and 1 , such as i· If b = i· then 2a + i = 1, 2a = i· and a = l' which is greater than 0 and therefore meets the only other requirement you're given for a.
12 Practice Tests for the SAT Practice Test Twelve Answers and Explanations I 1083 17. l. or .5 2 Difficulty: High Strategic Advice: You may not have talked about equations that look like this in your math class, but try plugging in points to draw a sketch. x = 3 and x = 1 1 are good ones to start with, since these are the ones relevant to the problem. Getting to the Answer: If you plug in x = 3: 3=y2 +2 1 =y2 y=±l This means that (3, 1) and (3, - 1) are both on the curve. Next, try x = 11 : ll= y2 +2 9=y2 y=±3 This means that (1 1, 3) and (1 1, -3) are both on the curve. At this point, you could plot the four points and figure out how to get the largest slope possible. This happens with points (1 1, -3) and (3, 1). 18. 2 < x < 6 Difficulty: High Strategic Advice: Draw some diagrams to solve this question. Getting to the Answer: The circumference of a circle is 2nr. Since the circumference of circle A is 4n, its radius is 2; since the circumference of circle 8 is Sn, its radius is 4. The circles intersect at two points, so they must overlap. If they were tangent (that is, touch at one point) with circle A inside circle 8, the distance between their centers would be 2; if they were tangent with circle A outside circle 8, the distance between their centers would be 6. SECTION 6 1. E Difficulty: High Even a sentence with multiple verbs and verb forms can be a fragment; look for a subject and predicate verb in an independent clause. As written, this sentence is a fragment·since none of its clauses are independent. There is no main verb following the subject bars. Choice (E) corrects this error without introducing any new ones. Choices (B) and (C) are unnecessarily wordy and fail to relate the two clauses. The pronoun they in (D) has no clear antecedent. 2. A Difficulty: High If you don't spot an error, don't be afraid to select (A). This sentence is correct as written. The verb offer is in agreement with the plural subject movie screenings, and the idiom both . .. and is used correctly. Choices (B), (D), and (E) all incorrectly change the plural verb offer to the singular offers; additionally, the singular pronouns it in (D) and this in (E) do not agree with the plural screenings. Choice (C) is incorrect grammatical structure. 3. D Difficulty: High If you don't spot a grammar or usage error, look for an error in style. As written, this sentence is unnecessarily wordy. Choice (D) makes the sentence more concise without introducing any grammatical errors. Choice (B) is a sentence fragment. Choices (C) and (E) are incorrect grammatical structure 4. D Difficulty: Medium Not all long selections denote wordiness issues, but always check for a more concise version of the sentence. As written, this sentence is overly wordy. Choice (D) is concise and doesn't lose any of the meaning of the original sentence. Choices (B), (C), and (E) are all still awkward and wordy. 5. D Difficulty: Medium The gerund (-ing) verb cannot be the main verb of a sentence.
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