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

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120 12 Practice Tests for the SAT Practice Test One Answers and Explanations 6. A Difficulty: Medium Strategic Advice: If you're stuck, focus on the differences between the answers; anything that's clearly wrong can be eliminated. Getting to the Answer: Squares of 2a and 3b: (2a)2 and (3b)2 Sum of those squares: (2a)2 + (3b)2 Difference between 8c and 7d: (Sc - 7d) Sum of squares added to the difference: (2a)2 + (3b)2 + (Sc - 7d) 3 more than e: e + 3 Result is 3 more than e: (2a)2 + (3b)2 + (8c- 7d) = e + 3 7. B Difficulty: Medium Strategic Advice: Translate the words into algebra and then let your algebra skills take you home! Getting to the Answer: Let x be the number of students at the beginning. After the addition, there are x + 21 students, which is 4 timesx. So x+ 21 =4x 21 =3x x=7 8. c Difficulty: Medium Strategic Advice: Systematically solve for the variables until you have what you're looking for. Start with c, since it's defined in the question stem. Use c to find a, then a to find b. Getting to the Answer: a=8c=8 x 9=72 72 =4 b 72=4b 18=b 9. 7 5 Difficulty: Low Strategic Advice: Plug in the given values and solve for d. As long as you work carefully, this type of problem should be easy to solve. Getting to the Answer: 3d+ 2d= 9-2 Sd=7 d=J_ 5 14 10. 3, 4.66, or 4.67 Difficulty: Low Strategic Advice: Questions like this one are not trying to trick you or test your ability to think, but rather to just follow procedures carefully. Getting to the Answer: 3(x - 2) = 8 x-2=_§_ 3 14 X=3 5 11. 3, 1.66, or 1.67 Difficulty: Low Strategic Advice: The writers of the SAT tend to make Grid-in algebra problems slightly easier. You have the skills to solve these algebraically, so use them. Getting to the Answer: First, solve for z: z+2 =2 5 z+2=10 z=8 z + 2 Then evaluate: z-2 8 + 2 10 5 8-2 = 5 = 3 =1.6666 ...
12 Practice Tests for the SAT / Practice Test One Answers and Explanations 121 12. 8 Difficulty: Medium Strategic Advice: Draw a quick sketch to help you find the solution to this problem. Also, remember that if a circle touches an axis at one and only one point, then the distance from that point to the center of the circle is the radius. Getting to the Answer: 15. 150 Difficulty: Medium Strategic Advice: Sketch in the information that isn't included in the diagram and work from there. Don't let the polygon fool you. This is a triangle problem. Getting to the Answer: Resketch the figure: y e Once you draw a sketch, it is easy to see that the radius is equal to the x coordinate of the center of the circle, 8. 1 32 3. 9 Difficulty: Medium Strategic Advice: Plug in carefully-don't confuse the two functions! Getting to the Answer: 3 2=x3+ 2x2=1+ = 2 3 3 3 3 2
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