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

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1094 1 1 2 Practice Tests for the SAT Practice Test Twelve Answers and Explanations 10. B Difficulty: Medium Strategic Advice: The time difference between Littleville and Williamshire is 5 hours, with Williamshire time being 5 hours later than Littleville time. Getting to the Answer: If the first satellite reaches Williamshire at 6 PM, then it is 1 PM in Littleville, so the trip took 6 hours. If the second satellite is in Williamshire at noon and also takes 6 hours, then it reaches Littleville at 6 PM Williamshire time, or 1 PM Littleville time. 11. c Difficulty: Medium Strategic Advice: The volume V of a sphere is related to its radius r by the equation V = % w3. The original sphere had a radius of 2 inches. The new sphere has a radius of 2 + 4 = 6 inches. To find how many times greater the volume of the new sphere is, divide the volume of the new sphere by the volume of the old sphere. Getting to the Answer: Since volume = % w3, this equals ..1 n63 3 ..1 n23 3 63 = p- = 216 -8- 6 cubed is 216, and 2 cubed is 8. Reducing the fraction makes it equal to 27. 12. D Difficulty: Medium Strategic Advice: The graph of a function crosses the x-axis when the value of the function equals zero. Find the values of t at which g(t) = 0 by solving the equation t2 - 4 = 0. You could also Backsolve this problem, plugging each possible value of t into the function to see which ones give a value of 0. Getting to the Answer: t2 -4=0 (t - 2)(t + 2) = 0 t= 2 or -2 13. D Difficulty: Medium Strategic Advice: When working with exponents, convert the values to the same base. Then you can concentrate solely on the exponents. If you have trouble working with exponents, you can Backsolve. Getting to the Answer: 22x- 3 = 8 22x- 3 = 23 Now set the exponents equal to each other: 14. A 2x -3=3 2x =6 X = 3 Difficulty: Medium Strategic Advice: Since the populations vary inversely, they can be described by the equation B = *· where k is a constant. Use the given values of A and B (the population of each species) to find k, then use k to calculate the population of species B. Getting to the Answer: k 500 = 1,000 15. c 500,000 =k Difficulty: High B = 500,000 500 = 250 2,000 2 Strategic Advice: In a substitution problem like this, look for the common term that will help you express one equation in terms of another. Substitute carefully! Getting to the Answer: Start with the smallest equation. Express it in terms of c. b=-c+4 -b +4=c Substitute this into the other equation: a= 3(2c2 + 3c + 4) a= 3[2(-b + 4)2 + 3(-b + 4) + 4] a= 3(2(b2 - Sb + 16) + -3b + 12 + 4]
12 Practice Tests for the SAT Practice Test Twelve Answers and Explanations I 1095 16. A Difficulty: Medium a=3[2b2 - 16b+32+-3b+ 12 +4] a=3[2b2 -16b +32+-3b + 16] a = 3 [2b2 - 19b + 48] a= 6b2 - 57b + 144 Strategic Advice: This problem deals with the probability that the fish has both characteristics, so multiply the probability of having long fins (t) by the probability of having a long tail ( t) . Even if you're not sure how to find this probability, you can reason that it is less likely for the fish to have both characteristics than to have just one characteristic or the other. Therefore, the probability of the fish having both characteristics must be less than t (the probability that it has a long tail). This eliminates all but (A) and (B). You can use this kind of logic to narrow your choices down and increase your chance of guessing correctly on many problems. Getting to the Answer: J_ X J_ = J- 3 4 12 SECTION 9 1. c Difficulty: Medium One way to correct a run-on sentence is to make one of the independent clauses subordinate. As written, this sentence is a run-on. Choice (C) corrects this by making the second clause subordinate. Choices (B) and (D) correct the error but are unnecessarily wordy. Choice (E) does not address the error. 2. B Difficulty: High Unless context makes it clear that more than one time frame is referred to, verb tenses within a sentence should remain consistent. The first clause of the sentence is in the past tense, so the underlined verb should be also. Choice (B) makes the correction. Choice (C) introduces the passive voice unnecessarily, and the plural verb are does not agree with the singular noun hour. Choice (D) fails to make it clear whether they refers to programs or languages. Choice (E) is unnecessarily wordy. 3. c Difficulty: Medium Make sure transition words properly relate the ideas in the sentence. Here, the transition word as suggests a cause-and-effect relationship between the clauses that is inappropriate in the context. Choice (C) logically relates the clauses. In (B), the Aztecs are what is among Switzerland's most popular exports. Choice (D) does not address the error. Choice (E) uses incorrect grammatical structure. 4. D Difficulty: Medium Pronoun uses should remain consistent within a sentence. This sentence starts out using the third-person singular pronoun someone, then switches to the second-person pronoun you. Choice (D) corrects this error with the third person pronouns he and she. The pronoun it in (B) is incorrect when referring to people. Choice (C) does not address the pronoun error. Choice (E) incorrectly uses a plural pronoun with a singular antecedent. 5. B Difficulty: High A possessive noun functions as an adjective within a sentence. As written, this sentence says that it was hit songs, not the Beach Boys themselves, that were born and raised on the coast of California. Choices (B) and (E) correctly place the Beach Boys directly after the clause; however, (E) creates a sentence fragment. In (C), the opening phrase modifies celebration; in (D), it modifies life. 6. c Difficulty: Medium Ambiguous pronouns will always be wrong on the SAT; pronouns must refer to clear and specific antecedents. As written, this sentence does not make it clear whether the pronoun he means Professor Schonle or his son. Choice (C) eliminates the ambiguous pronoun. Choice (B) eliminates the ambiguous pronoun but makes the sentence unnecessarily wordy. Choice (D) does not address the error.
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