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

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356 Section 7 Practice Test Four 8. If x2 + y2 = 153 and xy = 36, what is the value of (x-y)2? (A) 81 (B) 117 (C) 153 (D) 189 (E) 225 A F B G E H A B c 2 !2 x D Note: Figure not drawn to scale. 9. In the figure above, AB = 1 and BD = 2 \12. What is the value of z? (A) 40° (B) 45° (C) 50° (D) 55° (E) 60° 10. If20 percent of30 percent of a positive number is equal to 15 percent of h percent of the same number, what is the value of h ? (A) 30 (B) 35 (C) 40 (D) 45 (E) 60 c I D 11. In the figure above, each square is split into 4 squares of the same size, starting by splitting ABDC into AFEG, GEIC, EHDI, and FBHE, all of which have the same area. The total shaded area is what fraction of the area of square ABCD ? 1 (A) 256 (B) (C) (D) (E) 1 128 1 64 1 32 2 13 12. If 3x < 0 < y, which of the following is greatest? (A) 0 (B) y (C) -3x (D) -(3x + y) (E) -(3x -y) I GO ON TO THE NEXT PAGE>
Section 71 Practice Test Four 357 13. Suraj solved m physics problems on Monday, three times as many physics problems on Tuesday as on Monday, and three more than twice as many physics problems on Wednesday as on Monday. What is the average (arithmetic mean) number of physics problems he solved per day over the three days? (A) 6m + 1 (B) 10 m + 1 3 (C) 2m + 3 (D) 2m + l (E) 2m - 1 1 I 14. If _ _c =(a+ bf', which of the following (a + b) 2 must be true? (A) a= 0 (B) Va+b = -1 (C) Va+b = O (D) a+ b = 1 (E) (a + b)2 = 0 c y 0 y=x2 +2 D y=-x2 + a 15. The figure above shows the graphs of y = x2 + 2 and y = -x2 + a for some constant a. If the length of CD is equal to 4, what is the value of a ? (A) 2 (B) 4 (C) 5 (D) 8 (E) 10 16. Set X has x + 2b members, and set Y has y + 3b members. If they have exactly b members in common, how many elements are in the union of X and Y but not in the intersection of X and Y? (A) x + y (B) x + y + 3b (C) x+y+4b (D) x + y + Sb (E) x + y + 6b x STOP
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