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

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112 12 Practice Tests for the SAT Practice Test One Answers and Explanations (A) step 1 : 6.127 step 3: 7 step 2: 700 step 4: 712 This does not match with what we found in 4F 15, so it does not work. (B) step 1 : 6.127 step 4: 18.127 step 3: 19 step 2: 1900 This does not match with what we found in 4F 1 5, so it does not work. (C) step 1 : 6. 127 step 2: 612.7 step 3: 625 step 4: 624.7 This seems to work. Notice that since we're adding an integer, it doesn't matter whether we add first or round first. Choice (D) doesn't work since (A) and (B) don't work. Choice (E) is not true, since (C) works. 18. c Difficulty: High 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 - 8b + 16) + -3b + 12 + 4] a= 3[2b2 - 16b + 32 + -3b + 12 + 4] a= 3[2b2 - 19b + 48] a= 6b2 - 57b + 144 19. c Difficulty: High Strategic Advice: Visualizing a three-dimensional diagram can be difficult. Redraw this diagram if necessary. Be sure to label what you know as you work through the problem. Getting to the Answer: 3 We're essentially trying to work out two Pythagorean theorem problems, once for the XF base of the cube, and once again for BF. Looking at the base of the cube, since XY and YF are both 3, the base forms a 45-45-90 right triangle with sides in the ratio of x:x:xv2. Therefore, the hypotenuse is 3Yl. Now let's find BF. This diagonal is a hypotenuse of a right triangle with legs of 3 and 3Yl, so let's apply the Pythagorean theorem: 32 + (3\/2)2 = (BF)2 9 + (9)(2) = (BF)2 9 + 18 = (BF)2 27 = (BF)2 BF = V27 = v'9 \/3 = 3\/3 20. c Difficulty: High Strategic Advice: When information is given in the question stem, add it to the figure and work from there.
12 Practice Tests for the SAT Practice Test One Answers and Explanations I 113 Getting to the Answer: You may find it useful to isolate and rotate one of the isosceles triangles to make it clearer. Fill in the information for one triangle. One half of the triangle forms a 3:4:5 triangle. Thus, the height is 4 and the area of one triangle = x 4 x 6 = 12. In (A), a ceremony that was enormously large, or a colossus, would not necessarily be unfortunate. In (B), a ceremony that became a milestone, or significant event, could have been celebratory. Choice (C) is a great match for your prediction. In (D), a dedication ceremony is a consecration. In (E), angry protestors would not necessarily make a ceremony that was supposed to be celebratory into a fabrication, or a lie or falsehood. Since the parallelogram is made up of two triangles, the total area is 2 x 12 = 24. SECTION 4 1. D Difficulty: Low 6 How would observation help an infant to walk? Because the opening of the sentence refers to the ability to walk, the first blank must also refer to this ability. Words such as able or skilled are both great predictions for the first blank. If infants become able through observation, then they must watch their parents walk and attempt to copy or replicate those movements. In (A), the sentence is referring to the ability to walk, not socialize. In (B), again, the sentence is not referring to how a baby controls or dominates his or her parents. In (C), while an infant might become vocal by mimicking his or her parents, this has nothing to do with the ability to walk. Choice (D) is a great fit for your prediction. Choice (E) is very tempting, but the sentence is only referring to the ability to walk, not necessarily the ability to walk quickly or nimbly. 2. c Difficulty: Low The words rather than signal a contrast to a celebration. How might chanting crowds of angry protestors affect a dedication ceremony that was supposed to be a celebration? Most likely negatively, so look for a word that describes how the ceremony, instead of being celebratory, became a failure or disaster, both great fits for the blank. 5 3. c Difficulty: Medium How might damage caused by rampant corruption affect a company's reputation? Start with the second blank; you know from the words damage and rampant corruption that it must refer to something bad that happened to the company's reputation, such as it becoming weakened or even ruined. If this bad effect happened before anyone realized, then it must have been subtly damaging. "Subtle" and "ruined" make great predictions for the blanks. In (A), if the damage caused by the corruption had been manifest, or easy to understand, then it would not have happened without anyone noticing. In (B), despicable, or nefarious, damage would not necessarily create a polarized reputation. Choice (C) matches your prediction nicely. In (D), methodical, or systematic, damage would not necessarily amalgamate, or compound, a company's reputation. In (E), damage caused by corruption, even if it were obvious, would not necessarily stagnate, or make motionless, a company's reputation. 4. B Difficulty: Medium To be able to signals that the two blanks agree with one another. The words instead of indicate that the two blanks represent a contrast to analyzing their importance to his argument. Look for two words that would allow someone to deal more smoothly with the individual fads of the case, something that would take a great deal of time but that would also require something less, or more simple, than analysis. A word like list or reel off would be a good prediction for the first blank, making a word that means commit to memory a good fit for the second blank. In (A), simply regurgitating facts would not necessarily make them easier to synthesize. Choice (B) is a good match for your prediction. In (C),
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