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(BQ) The ACT is growing into the most preferred entrance exam by colleges and universities across the country. So if you want to get into the school of your choice, you need to achieve your best score on the ACT. You need the experts on your side.
PRACTICE TEST ANSWER SHEET 339 ANSWER SHEET ACT PRACTICE TEST Answer Sheet ENGLISH 10 11 12 13 14 15 16 17 18 19 20 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ ✆✝G ✆✝H ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆ ✝ ☎✞ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ ✆✝J MATHEMATICS 10 11 12 13 14 15 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ ✝A ☎✞ ☎✞ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ ✆✝B ✆✝C ☎✞ D ✆✝ ✞ ☎ J ✆ ✝ ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆ ✝ ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆ ✝ ☎✞ ✆✝D ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎✞ E ✆✝ ✞ ☎ K ✆ ✝ ☎✞ E ✆✝ ✞ ☎ K ✆✝ ✞ ☎ E ✆ ✝ ☎✞ K ✆ ✝ ☎✞ E ✆✝ ✞ ☎ K ✆✝ ✞ ☎ E ✆✝ ✞ ☎ K ✆ ✝ ☎✞ E ✆✝ ✞ ☎ K ✆✝ ✞ ☎ E ✆✝ ✞ ☎ K ✆ ✝ ☎✞ ✆✝E ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ ✆✝G ✆✝H ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆ ✝ ☎✞ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ ✆✝J ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ ✆✝G ✆✝H ☎✞ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆ ✝ ☎✞ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ ✆✝J ☎✞ K ✆✝ ✞ ☎ E ✆ ✝ ☎✞ K ✆✝ ✞ ☎ E ✆✝ ✞ ☎ K ✆ ✝ ☎✞ E ✆ ✝ ☎✞ K ✆✝ ✞ ☎ E ✆✝ ✞ ☎ K ✆✝ ✞ ☎ E ✆ ✝ ☎✞ K ✆✝ ✞ ☎ E ✆✝ ✞ ☎ K ✆✝ ✞ ☎ E ✆ ✝ ☎✞ ✆✝K ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ B ✝ C ✆ ✞ ✆ ☎✝ ☎✞ G H ✆ ✞ ✆ ✞ ☎✝ ☎✝ B ✝ C ✆ ✞ ✆ ☎✝ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆ ✞ ✆ ✞ ☎✝ ☎✝ B C ✆ ✞ ✆ ✞ ☎✝ ☎✝ G ✝ H ✆ ✞ ✆ ☎✝ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆ ✞ ✆ ✞ ☎✝ ☎✝ B C ✆ ✞ ✆ ✞ ☎✝ ☎✝ G ✝ H ✆ ✞ ✆ ☎✝ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆ ✞ ✆ ✞ ☎✝ ☎✝ G ✝ H ✆ ✞ ✆ ☎✝ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆ ✞ ✆ ✞ ☎✝ ☎✝ ✆✝G ✆✝H ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆ ✝ ☎✞ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ ✆✝J ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ ✝A ☎✞ ☎✞ B ✝ C ✆ ✞ ✆ ☎✝ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆ ✞ ✆ ✞ ☎✝ ☎✝ G ✝ H ✆ ✞ ✆ ☎✝ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆ ✞ ✆ ✞ ☎✝ ☎✝ G H ✆ ✞ ✆ ✞ ☎✝ ☎✝ B ✝ C ✆ ✞ ✆ ☎✝ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆ ✞ ✆ ✞ ☎✝ ☎✝ G H ✆ ✞ ✆ ✞ ☎✝ ☎✝ B ✝ C ✆ ✞ ✆ ☎✝ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ ✆✝B ✆✝C ☎✞ D ✆✝ ✞ ☎ J ✆ ✝ ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆ ✝ ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆ ✝ ☎✞ ✆✝D ☎✞ E ✆ ✞ ☎✝ K ✆ ✝ ☎✞ E ✆ ✞ ☎✝ K ✆ ✞ ☎✝ E ✆ ✝ ☎✞ K ✆ ✝ ☎✞ E ✆ ✞ ☎✝ K ✆ ✞ ☎✝ E ✆ ✞ ☎✝ K ✆ ✝ ☎✞ E ✆ ✞ ☎✝ K ✆ ✞ ☎✝ E ✆ ✞ ☎✝ K ✆ ✝ ☎✞ ✆✝E Copyright © 2008 by The McGraw-Hill Companies, Inc Click here for terms of use ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ☎✞ ☎✞ B ✝ C ✆ ✞ ✆ ☎✝ ☎✞ G H ✆ ✞ ✆ ✞ ☎✝ ☎✝ B ✝ C ✆ ✞ ✆ ☎✝ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆ ✞ ✆ ✞ ☎✝ ☎✝ B C ✆ ✞ ✆ ✞ ☎✝ ☎✝ G ✝ H ✆ ✞ ✆ ☎✝ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆ ✞ ✆ ✞ ☎✝ ☎✝ B C ✆ ✞ ✆ ✞ ☎✝ ☎✝ G ✝ H ✆ ✞ ✆ ☎✝ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B ✆✝ ✆✝C ☎✞ D ✆ ✞ ☎✝ J ✆ ✞ ☎✝ D ✆ ✞ ☎✝ J ✆ ✝ ☎✞ D ✆ ✝ ☎✞ J ✆ ✞ ☎✝ D ✆ ✞ ☎✝ J ✆ ✞ ☎✝ D ✆ ✝ ☎✞ J ✆ ✞ ☎✝ D ✆ ✞ ☎✝ J ✆ ✞ ☎✝ D ✆ ✝ ☎✞ J ✆ ✞ ☎✝ D ✆✝ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ G ✝ H ✆ ✞ ✆ ☎✝ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆ ✞ ✆ ✞ ☎✝ ☎✝ B ✝ C ✆ ✞ ✆ ☎✝ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆ ✞ ✆ ✞ ☎✝ ☎✝ B C ✆ ✞ ✆ ✞ ☎✝ ☎✝ G ✝ H ✆ ✞ ✆ ☎✝ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G H ✆ ✞ ✆ ✞ ☎✝ ☎✝ B C ✆ ✞ ✆ ✞ ☎✝ ☎✝ G ✝ H ✆ ✞ ✆ ☎✝ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ ✆✝G ✆✝H ☎✞ J ✆ ✞ ☎✝ D ✆ ✝ ☎✞ J ✆ ✞ ☎✝ D ✆ ✞ ☎✝ J ✆ ✝ ☎✞ D ✆ ✝ ☎✞ J ✆ ✞ ☎✝ D ✆ ✞ ☎✝ J ✆ ✞ ☎✝ D ✆ ✝ ☎✞ J ✆ ✞ ☎✝ D ✆ ✞ ☎✝ J ✆ ✞ ☎✝ D ✆ ✝ ☎✞ ✆✝J ☎✞ K ✆ ✞ ☎✝ E ✆ ✝ ☎✞ K ✆ ✞ ☎✝ E ✆ ✞ ☎✝ K ✆ ✝ ☎✞ E ✆ ✝ ☎✞ K ✆ ✞ ☎✝ E ✆ ✞ ☎✝ K ✆ ✞ ☎✝ E ✆ ✝ ☎✞ K ✆ ✞ ☎✝ E ✆ ✞ ☎✝ K ✆ ✞ ☎✝ E ✆ ✝ ☎✞ ✆✝K ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 340 PRACTICE TEST ANSWER SHEET READING 10 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ B ✝ C ✆✝ ✞ ✆ ☎ ☎✞ G H ✆✝ ✞ ✆ ✞ ☎ ☎✝ B C ✆✝ ✞ ✆ ✞ ☎ ☎✝ G ✝ H ✆✝ ✞ ✆ ☎ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✞ ✆ ✞ ☎ ☎✝ G ✝ H ✆✝ ✞ ✆ ☎ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ ✆✝G ✆✝H SCIENCE 10 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ B ✝ C ✆✝ ✞ ✆ ☎ ☎✞ G ✝ H ✆✝ ✞ ✆ ☎ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✞ ✆ ✞ ☎ ☎✝ G ✝ H ✆✝ ✞ ✆ ☎ ☎✞ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✞ ✆ ✞ ☎ ☎✝ G ✆✝ ✆✝H ☎✞ D ✆ ✞ ☎✝ J ✆ ✞ ☎✝ D ✆ ✞ ☎✝ J ✆ ✞ ☎✝ D ✆ ✝ ☎✞ J ✆ ✞ ☎✝ D ✆ ✞ ☎✝ J ✆ ✞ ☎✝ D ✆ ✝ ☎✞ ✆✝J ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 11 12 13 14 15 16 17 18 19 20 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ ✆✝G ✆✝H ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ ✆✝J ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 21 22 23 24 25 26 27 28 29 30 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G H ✆✝ ✆✝ ✞ ☎ ✞ ☎ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ ✆✝G ✆✝H ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ ✆✝J ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 31 32 33 34 35 36 37 38 39 40 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ B ✆ C ✆ ✝ ✞ ☎ ✞ ☎✝ G H ✆ ✆✝ ✞ ☎ ✞ ☎✝ B C ✆ ✆✝ ✞ ☎ ✞ ☎✝ G✆ H ✆ ✝ ✞ ☎ ✞ ☎✝ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆ ✆✝ ✞ ☎ ✞ ☎✝ G✆ H ✆ ✝ ✞ ☎ ✞ ☎✝ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ ✆✝G ✆✝H ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ ✆✝J ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎✞ D ✆ ✞ ☎✝ J ✆ ✞ ☎✝ D ✆ ✝ ☎✞ J ✆ ✞ ☎✝ D ✆ ✞ ☎✝ J ✆ ✞ ☎✝ D ✆ ✝ ☎✞ J ✆ ✞ ☎✝ D ✆ ✞ ☎✝ ✆✝J ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 11 12 13 14 15 16 17 18 19 20 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G ✆✝ ✆✝H ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ ✆✝J ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 21 22 23 24 25 26 27 28 29 30 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ B ✆ C ✆✝ ✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G✆ H ✆✝ ✝ ✞ ☎ ✞ ☎ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆✝ ✆✝ ✞ ☎ ✞ ☎ G ✆✝ ✆✝H ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ ✆✝J ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ 31 32 33 34 35 36 37 38 39 40 ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ F ✝ ✞ A ✝ ✞ ✝F ☎✞ ☎✞ B ✆ C ✆ ✝ ✞ ☎ ✞ ☎✝ G✆ H ✆ ✝ ✞ ☎ ✞ ☎✝ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆ ✆✝ ✞ ☎ ✞ ☎✝ G✆ H ✆ ✝ ✞ ☎ ✞ ☎✝ B ✆ C ✆ ✝ ✝ ☎✞ ☎✞ G✆ H ✆ ✝ ✝ ☎✞ ☎✞ B C ✆ ✆✝ ✞ ☎ ✞ ☎✝ G ✆✝ ✆✝H ☎✞ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ J ✆✝ ✞ ☎ D ✆ ✝ ☎✞ J ✆✝ ✞ ☎ D ✆✝ ✞ ☎ ✆✝J ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ ☎ ✆ RAW SCORES SCALE SCORES ENGLISH ENGLISH MATHEMATICS MATHEMATICS READING READING SCIENCE SCIENCE DATE TAKEN: ENGLISH/WRITING COMPOSITE SCORE Refer to the Scoring Worksheet on page 398 for help in determining your Raw and Scale Scores You may wish to remove these sample answer document pages to respond to the practice ACT Writing Test Cut Here Begin WRITING TEST here If you need more space, please continue on the next page Do not write in this shaded area WRITING TEST If you need more space, please continue on the back of this page Do not write in this shaded area Cut Here WRITING TEST If you need more space, please continue on the next page PLEASE DO NOT WRITE IN THIS AREA WRITING TEST STOP here with the Writing Test Do not write in this shaded area PRACTICE TEST ENGLISH TEST 345 ■ ■ ■ ■ ■ ■ ■ ■ ENGLISH TEST 45 Minutes—75 Questions DIRECTIONS: In the passages that follow, some words and phrases are underlined and numbered In the answer column, you will find alternatives for the words and phrases that are underlined Choose the alternative that you think is best, and fill in the corresponding bubble on your answer sheet If you think that the original version is best, choose “NO CHANGE,” which will always be either answer choice A or F You will also find questions about a particular section of the passage, or about the entire passage These questions will be identified by either an underlined portion or by a number in a box Look for the answer that clearly expresses the idea, is consistent with the style and tone of the passage, and makes the correct use of standard written English Read the passage through once before answering the questions For some questions, you should read beyond the indicated portion before you answer PASSAGE I The following paragraphs may or may not be in the most logical order You may be asked questions about the logical order of the paragraphs, as well as where to place sentences logically within any given paragraph Michigan’s Mesmeric Stone Some residents of Michigan would probably be surprised and shocked to learn that, during the Devonian Age, 350 million years ago, this northern state was located near the earth’s equator At that time, Michigan was hidden underneath by a warm body of water It was this marine environment that eventually produced Michigan’s unique rock formation known as the Petoskey stone A B C D NO CHANGE saddened surprised disappointed F G H J NO CHANGE submerged and under hidden beneath completely and totally submerged by A B C D NO CHANGE by because from F G H J NO CHANGE as slow as slowly became slow to become The light brown Petoskey stone is easily distinguished from other stones having its pattern of numerous and contiguous six-sided cells These cells were once the living coral that was present during the Devonian Age, which slow became petrified into rock that was then gradually carried north by the slow movement of glaciers Petoskey stones can vary in appearance, largely due to the content of each coral cell Most Petoskey stones contain high levels GO ON TO THE NEXT PAGE 346 PRACTICE TEST ENGLISH TEST ■ ■ ■ ■ ■ ■ ■ ■ of calcite, but some also contain quartz, pyrite, silica, and other minerals Because of this variety in makeup, polishing a Petoskey stone can either be a fairly simple task or one that highly requires a high level of skill and patience [1] Some rock collectors might be fortunate to find a Which choice would best help to establish that Petoskey stones can vary from one another? A NO CHANGE B but contain some C which predominantly possess D and also include F G H J NO CHANGE requires a level of high requires a high level required a high level A B C D NO CHANGE wind and sand wind sand wind, sand, F G H J NO CHANGE Fortunately, Still, Nevertheless, A B C D NO CHANGE hand polishing, it hand polishing being it hand polishing it Petoskey stone that has been naturally polished by wind; sand; and water [2] In many cases, though, the stones are not exposed to the elements, so some hard labor might be necessary to produce a smooth, shiny surface that displays the stones’ unique pattern [3] Despite this, the calcite contained in Petoskey stone is highly conducive to hand polishing; it is soft enough to give way to sandpaper, yet strong enough to accept the polishing compound that is usually applied once all the scratch marks have been carefully sanded away [4] It is important to take time to remove all of the scratches, then they will be present in the 10 finished stone along with the coral fossils 11 For the serious rock enthusiast, investing in an electric rock tumbler is a good way to simplify the process of rock-polishing Simply place the collected rocks into the 10 F G H J NO CHANGE whereas otherwise and 11 For the sake of logic and coherence, Sentence should be placed: A where it is now B before Sentence C after Sentence D after Sentence paint-can sized canister, add polishing compound, and push the button This begins a long rotation process whereby the stones are abraded until they have a smooth, glossy finish 12 12 F G H J NO CHANGE stones’ are stone’s are stones, are GO ON TO THE NEXT PAGE PRACTICE TEST ENGLISH TEST 347 ■ ■ ■ ■ ■ ■ ■ ■ One advantage of using a rock tumbler instead of hand polishing the stones are that the tumbler can the work 13 while you scout for more stones to put in it! Petoskey stones are often difficult to find, depending on 13 A B C D NO CHANGE is that can be is so the season of the year Generally, early spring will bring in a new crop of stones after the ice has melted and the stones have been pushed to the shorelines of the northern Great Lakes 14 A good rain will highlight the Petoskey stone’s coral pattern, making it easier to spot in the sand Of course, you can always find Petoskey stones in tourist shops throughout the northern part of the state, but it is 14 The writer is considering deleting the preceding sentence If the sentence were deleted, the essay would primarily lose: F the introduction to the essay G a summary of the preceding paragraph H an important detail supporting a main idea J the conclusion to the essay much more fun and satisfying to locate one yourself as you walk along the beautiful beaches of Michigan Question 15 asks about the preceding passage as a whole 15 Suppose the writer had chosen to write an essay about living near the Great Lakes Would this essay fulfill the writer’s goal? A Yes, because this essay refers to Michigan and the Great Lakes several times throughout the text B Yes, because the writer makes it clear that Petoskey stones are unique to that area of the country C No, because the writer discusses only the state of Michigan and not the Great Lakes in general D No, because the essay is primarily about the Petoskey stone and not about living near the Great Lakes GO ON TO THE NEXT PAGE 348 PRACTICE TEST ENGLISH TEST ■ ■ ■ ■ ■ ■ ■ ■ PASSAGE II Summer Creatures The day was hot and sultry, but the cool of the evening approaches as the sun hides itself behind the horizon Each of us has pulled a lawn chair onto the expansive wooden 16 deck and have settled in for the show No one says a word 17 A slight rustling in the thicket of maidenhair ferns off in the distance can resonate; something is either bedding 18 down or emerging for an evening hunt A similar sound is barely audible just in front of us, and we remain silent and 19 attentive Suddenly, loud clucking penetrates the silence, followed by more feverish clucking and chirping, some of 20 it loud and commanding, some more soothing and calming These are the sounds of wild turkey hens coming in to roost, sounding off on safety issues and weather 21 predictions They cluck and rustle as they roam through the woods, final destination unknown Here and there, a chickadee, finch, or red-headed woodpecker flies overhead toward a cozy nest The sky darkens and the last diurnal 22 winged creature takes to its bed, the evening air begins 16 F G H J NO CHANGE over by upon 17 A B C D NO CHANGE settled in has settled in have been settled in 18 F G H J NO CHANGE resonated resonates can be resonating 19 Which of the following alternatives to the underlined portion would NOT be acceptable? A us We B us—we C us; we D us we 20 F G H J NO CHANGE following by followed with following 21 At this point, the writer wants to liken the wild turkeys to people Which choice would most effectively accomplish this purpose? A NO CHANGE B clucking and chirping over C fluffing their feathers over D making noise about 22 F G H J NO CHANGE (Do NOT begin a new paragraph) Which the sky (Begin a new paragraph) The sky (Begin a new paragraph) As the sky GO ON TO THE NEXT PAGE 834 PRACTICE TEST 10 ANSWERS AND EXPLANATIONS a run-on sentence Both of these choices should be eliminated Only answer choice H clearly indicates that weaponry, ammunition, and materials have all changed through the centuries see if it makes sense and effectively conveys the idea Answer choices F, G, and H are very wordy and awkward, and they not express the idea as clearly and simply as does answer choice J 65 The best answer is A This question tests your ability to express the idea clearly and simply Since “silk” is the material being discussed, it makes sense to place the underlined portion directly after the word “silk,” as it is written Placing the underlined portion elsewhere makes the sentence awkward and unclear 71 The best answer is B This question requires you to correctly punctuate the underlined portion The sentence as it is written is a run-on sentence, so eliminate answer choice A Answer choice C creates an incomplete sentence, so it should also be eliminated A semicolon should be followed by an independent clause, so eliminate answer choice D 66 The best answer is H This question requires you to select the best transition between sentences The word “soon” implies a sense of time that does not fit within the context of the paragraph Eliminate answer choice F The paragraph discusses the importance of protecting the wearer from bullets It makes sense that, because the flak-jacket did not protect the wearer from bullets, that the best transition word to use is “unfortunately.” 72 The best answer is J This question tests your ability to express the idea clearly and simply, which, in this case, means eliminating answer choices that include irrelevant information Since the sentence already indicates that the impact is spread around the body, any information about how this is in contrast to the impact being sustained in one area is redundant and irrelevant Omitting, or removing, the underlined portion keeps the sentence simple, while still effectively expressing the idea 67 The best answer is D This question tests your ability to recognize redundancy The word “today” suggests “recent” and “modern,” so it is not necessary to include all of those words in the sentence The most simple way to express the idea is with the word “today’s.” 68 The best answer is G The best way to answer this question correctly is to insert the answer choices in the sentence and select the one that makes sense You must answer the question, “A variety of synthetic materials, some of which are” what? The word “effective” best answers that question Answer choices F, H, and J are very awkward and not successfully convey the idea being presented in the sentence 69 The best answer is C The preceding sentence discusses the “production” of synthetic materials, so you should look for an answer choice that further explains the production of these materials Eliminate answer choices A and D because they not discuss production of material You must also tie the idea presented in the preceding sentence to the concept of cost, since that is mentioned in the sentence about which you are being asked Answer choice C does this best 70 The best answer is J This question tests your ability to express the idea clearly and simply In this case, you should try the shortest answer choice to 73 The best answer is B The question asks you to indicate that body armor does not always prevent injury or death Answer choices A, C, and D suggest that the material in a bullet-proof vest will often or always prevent injury or death Answer choice B effectively shows that, only under some circumstances, but certainly not always, will body armor prevent injury or death 74 The best answer is F The best way to answer this question correctly, is to determine what, if anything, the underlined portion adds to the sentence The underlined portion includes information that indicates that the bullet-proof-vest wearer could sustain serious injury while wearing the vest If this information is removed, the paragraph would lose a statement that suggests protective gear does not guarantee or ensure a lack of serious injury The other answer choices are not supported by the context of the paragraph 75 The best answer is C This question requires you to select the correct verb form The verb “entrust” means to “place trust in,” which makes sense based on the context of the paragraph The idea being conveyed is that police officers and military personal know that their safety cannot be “entrusted” completely to the protective gear that they wear; they must take additional precautions to ensure their safety PRACTICE TEST 10 ANSWERS AND EXPLANATIONS Mathematics Test Explanations The correct answer is D Given that angle A is 20◦ and that angle B is three times larger than angle C, you can set up the following equation 20◦ + B + C = 180◦ Since B = 3C, you have 20◦ +3C+C = 180◦ Combine like terms: 20◦ +4C = 180◦ Solve for C: 4C = 160◦ ; C = 40◦ If C = 40◦ , then B = (40◦ )(3) = 120◦ The correct answer is G The first step is to calculate the total cost of the trip by multiplying the number of people in the band (65) by the cost per member: 65 × 18.50 = $1202.50 A total of $585.00 was raised from the bake sale, $1202.50 − $585.00 = $617.50, which is the total amount left to earn That means that each of 617.50 the 65 members must pay an additional , 65 or $9.50 The correct answer is B To solve this problem, set up an equation showing that Fred’s total daily income equals his fixed daily income ($40.00) + the amount he earns for washing cars Set the number of cars equal to C: $61.00 = $40.00 + $1.75C Solve for C: $1.75C = $21.00 C = 12 The correct answer is G Since you are given the s equation for molality, m = , and you are given k m = 0.2 and k = 13, plug in the values and solve: s 0.2 = 13 s = 2.6 The correct answer is C The best approach to this problem is to identify the relationships between the angles Since a and b are vertical angles formed from the intersection of parallel lines and transversals, they are equal in measure Since the same transversal (l1 ) creates angle x, angle x is equal to angles a and b Eliminate answer choices A and B Angle c is a supplementary to angle x, which means that angle c + angle x = 180◦ There are no right angles in the figure, so angle c is NOT equal to angle x; answer choice C is correct The correct answer is F The expression 4.2×10−5 is in scientific notation The −5 exponent means that the decimal point has been moved five spaces 835 to the right of its original position So, move the decimal five places to the LEFT back to its original position: 0.000042 The correct answer is E Multiplying by 0.01 is the same as dividing by 100, since 0.01 = 100 Move the decimal place two spaces to the left to get 0.03234 The correct answer is K To answer this question, you need to first expand the equation and then simplify it: x − 2x + x−1 (x − 1)(x − 1) x−1 The (x − 1) from the numerator cancels out the (x − 1) in the denominator, so the equation is equal to x − The correct answer is A This simple algebra problem asks you to solve for x Combine like terms and isolate x on one side of the equation − x + = 19 −x + 11 = 19 −x = x = −8 x = −2 10 The correct answer is J With the information given, you can find that the measure of angle WZY = 180◦ − (25◦ + 55◦ ) = 100◦ Since WXY is opposite WZY in the same parallelogram, it also equals 100◦ 11 The correct answer is D Since the circle at −1 is closed, that means that −1 should be included Eliminate answer choices A, B, and E, which not include –1 Since the graph goes to the right, the inequality must be greater than or equal to −1 12 The correct answer is G Solve for x, and keep track of the negative signs 93 − x = 342 −x = 342 − 93 −x = 249 x = −249 13 The correct answer is E You are given that AB = and BX = 10 Use the Pythagorean Theorem to solve for AX: 62 + (AX)2 = 102 (AX)2 = 64 AX = 836 PRACTICE TEST 10 ANSWERS AND EXPLANATIONS If AX = and XC = 4, then AC must equal 12 Given that AB = and AC = 12, again use the Pythagorean Theorem to solve for BC: 62 + 122 = (BC)2 180 = (BC)2 √ BC = 180 = √ (36)(5) = 14 The correct answer is F The formula for the area of a rectangle is A = l × w, with l as the length and w as the width The question states that the length of the parking lot is three times as long as the width If w is the width, then the length is 3×w, or 3w Therefore, the area of the parking lot is 3w × w = 315 15 The correct answer is C To solve this problem, set up a proportion: 3.5 miles is to x miles as 40 minutes is to 60 minutes Cross-multiply and solve for x: 3.5 40 = x 60 40x = 210 x = 5.25 16 The correct answer is K First, divide the region into two rectangles, as shown: 19 The correct answer is B The first step in answering this question is to rearrange one of the given equations so that it is expressed in terms of y: y + 3x = y = −3x + To solve for x, the next step is to plug −3x + in for y in the second equation: 2x − (9 − 3x) = 2x − + x = 3x = + x = 20 The correct answer is K When multiplying fractions, multiply the numerators together and then multiply the denominators together and then reduce 20 = = 12 2 = 3 When dividing fractions, multiply the first fraction by the reciprocal of the second fraction and reduce ÷ The first rectangle is feet by 16 feet The second rectangle is 10 feet by 14 feet (19 feet minus feet) The area of a rectangle is calculated by multiplying the length by the width Add the areas together: Rectangle 1: (5)(16) + Rectangle 2: (10 (14) = 220 square feet 17 The correct answer is A Given 32 ounces in a quart, you can calculate that there are 64 ounces in quarts quarts, or 64 ounces, costs $2.65 Divide $2.65 by 64 (2.65 ÷ 64) to get $0.04 per ounce 18 The correct answer is H Angles x and y are supplementary angles, so their sum is 180◦ Angle x is given as 125◦ , so angle y is 180◦ − 125◦ = 55◦ 15 45 = 21 The correct answer is C To solve this problem, combine like terms Remember to keep track of the negative signs! x − (3x − 2) + 2x(4x − 1) x − 3x + + 8x − 2x 9x − 5x + 22 The correct answer is G First, factor the numerator and denominator: x − 6x + (x − 3)(x − 3) = 6(x − 3) 6x − 18 Next, cancel out an (x − 3) from the numerator and (x − 3) denominator, which leaves you with 23 The correct answer is C You are given that x = is one solution, which means that (x − 3) is one of the factors of 2x −5x−a = Since the coefficient of the x –term is 2, you can set up the other factors PRACTICE TEST 10 ANSWERS AND EXPLANATIONS as follows: (2x + )(x − 3) The x terms must equal –5, so apply the FOIL method to find the missing term: −6x + x = −5x −6x + x = −5x; the missing term must be Use FOIL again to solve for a: (2x + 1)(x − 3) 2x − 6x + x − 2x − 5x − 28 The correct answer is F The easiest way to solve this problem is to cross-multiply and solve for x: 4x 4x = x−1 2x + 4x(2x + 2) = 4x(x − 1) 8x + 8x = 4x − 4x; combine like terms 4x + 12x = 0; simplify by factoring out 4x 4x(x + 3) = 4x = 0, so x = x + = 0, so x = −3 The two solutions are and –3 The sums of these solutions is + −3, or −3 Thus, a = 24 The correct answer is F You are given that angle P is 55◦ Since PQR is a right triangle, angle Q is 90◦ So, angle R must be 180◦ − (55◦ + 90◦ ) or 35◦ 25 The correct answer is E You are given that gallon of paint can cover 36 square feet The room is feet by 12 feet, or 96 square feet Set up a proportion: x = 36 96 Cross-multiply and solve for x: 36x = 96 x = approximately 2.666 The question asks you to round to the nearest whole gallon, so round up to gallons 26 The correct answer is G You are given that x ≤ y and y ≤ z If x = y and y = z, then x = z could be true Eliminate answer choices F, J, and K, which show that Roman Numeral I (x = z) is NOT true If x < y and y < z, then x < z could be true But x > z could not be true in either case So only II CANNOT be true, answer choice G 27 The correct answer is B The sine of an angle is the length of the opposite side divided by the opp length of the hypotenuse You are given the hyp measure of the opposite side, but you are not given the hypotenuse So you must use the Pythagorean Theorem to find the measure of the hypotenuse: (1)2 + (5)2 = (hypotenuse)2 + 25 = (hypotenuse)2 √ 26 = (hypotenuse)2, so the hypotenuse = 26 Now, you can find sin C: 837 opp hyp =√ 26 29 The correct answer is B This problem requires you to understand absolute value Absolute value is the distance of the given value from zero on the number line, without regard to its sign So, |−2|2 + | − 5| − = 22 + − 3, which is + − = 30 The correct answer is G Lines XY and ZW are parallel and are bisected by line AB As you can see in the diagram from the question, these lines form two triangles Because the lines XY, YZ, and ZW are equal, the sides of the triangles that are created are also equal The triangle with ∠s is a reflection of the triangle with ∠t, so ∠s = ∠t If ∠t = 45◦ , then ∠s = 45◦ 31 The correct answer is C Here, you must first solve the inequality: x − ≤ 13 x ≤ 16 Because a negative number squared will yield a positive result, you must consider both the positive and negative values of x x ≤ and x ≥ −4 The greatest real value of x is if x = 32 The correct answer is F By definition, an isosceles triangle has a hypotenuse, c, and two legs, a and b, that are congruent Use the measure of the hypotenuse given in the problem (12), and the Pythagorean theorem, a2 + b2 = c2 , to determine the length of one of the legs Remember that a = b: a2 + a2 = 122 2a2 = 144 a2 =√72 a = 72 √ √ The 72 can be reduced to 838 PRACTICE TEST 10 ANSWERS AND EXPLANATIONS 33 The correct answer is C The formula for a circle is (x − a)2 + (y − b)2 = r , where (a, b) is the center of the circle and r is the radius of the circle The question gives you the equation of the circle as (x − 2)2 + (y + 1)2 = So, a is and b is −1 The center of the circle, (a, b), is (2, −1) 34 The correct answer is J Find the slope by putting 2x − 3y = into the slope-intercept form (y = mx + b where m is the slope): −3y = −2x + 2 y = x − The slope is 3 35 The correct answer is D This question is asking you to determine a weighted average To answer the question, first calculate the total number of TVs: (2 × 5), (3 × 20), (4 × 15), and (5 × 10) Next, add these values together and divide by the total number of houses (50): (2 × 5) + (3 × 20) + (4 × 15) + (5 × 10) 50 180 10 + 60 + 60 + 50 = = 3.6 50 50 36 The correct answer is H Since you are given the radii of both circles, you can find the area of both circles The radius of the smaller circle is 2, so the area is π(2)2 , or 4π The radius of the larger circle is 6, so the area is π(6)2 = 36π Since the smaller circle is removed from the larger circle, simply subtract the area of the smaller circle from the area of the larger circle: 36π − 4π = 32π 37 The correct answer is B By definition, the slope change in y The question gives the change in x slope of the line as , which means that for every positive change of in y, there is a positive change in x of The question asks you to determine the x-intercept, or where y = You are given a point on the line, (−2, 2) Use the point-slope form of a line, y = mx + b, set y to 0, m to , and solve for x: (0 − 2) = (x + 2) −2 = x + 3 of any line is = x+ 3 10 − = x, x = −5 The x-intercept is (−5,0) 3 − 38 The correct answer is J From the graph, you can determine that the inequality is x ≥ −2 However, that is not an answer given So, you must solve the inequalities in the answer choices Answer choices F and K not contain a greater than or equal to sign, so they may be eliminated Solve the remaining three inequalities: ⎧ 4x − ≥ 2x − ⎪ ⎪ ⎪ ⎪ ⎪ ⎨2x ≥ −1 Answer choice G ⎪ x≥− ⎪ ⎪ ⎪ ⎪ ⎩ Eliminate answer choice G ⎧ 5x + ≥ x ⎪ ⎪ ⎨ Answer choice H 4x ≥ −5x ≥ − ⎪ ⎪ ⎩ Eliminate answer choice H ⎧ ⎪ ⎨3x − ≤ 5x + Answer choice J −2x ≤ ⎪ ⎩ x ≥ −2 (remember to switch the sign when dividing by a negative number.) Answer choice J is correct 39 The correct answer is D By definition, the slope change in y of any line is The question asks you to change in x determine the slope from two points on the graph, so divide the change in y between the two points given by the change in x between the two points given: y1 − y2 5−3 = = x1 − x2 5−1 = 40 The correct answer is K You are given two of the three unknowns; plug I = 2.25 and r = 0.03 (the decimal equivalent of 3%) into the formula I = Pr: 2.25 = P(0.03) Solve for P: P = 75 PRACTICE TEST 10 ANSWERS AND EXPLANATIONS 41 The correct answer is E Graph the rectangle on a coordinate graph 839 46 The correct answer is J To solve this problem, replace y with y − 2, and z with z + 1: x = 3(y − 2) − 4(z + 1) + = 3y − − 4z − + = 3y − 4z − So, you went from x = 3y−4z+7 to x = 3y−4z−3 Subtract the two to see the difference: (3y − 4z + 7) − (3y − 4z − 3) 3y − 3y = −4z − (−4z) = − (−3) = 10 As you can see from the graph, the fourth vertex must be (−2, 2) 42 The correct answer is F Perpendicular lines have slopes that are the negative reciprocal of each other Therefore, if one of the lines has a slope of − , 7 the slope of the other line must be 43 The correct answer is D You are given that number of jars of jelly, j, is three less than twice the number of jars of applesauce, a Put this into equation form: j = 2a − Since none of the answers match this one, rearrange the equation: j + = 2a 44 The correct answer is G The first step in answering this question is to factor the equation 3x − 5x + = 0: (3x − 2)(x − 1) = To find the two solutions to this equation, solve for zero: 3x − = 3x = 2 x = (solution 1) x−1=0 x = (solution 2) The solutions to the equation given are x = and x= 45 The correct answer is A To solve this problem, you must first recall that the maximum value of the sine function is 1, and that the smallest value for a π π at this maximum value will be So, if 2a = , 2 π then a = Since the difference is a positive 10, that means that the original value of x was 10 greater than the new value of x Thus, the value of x decreased by 10 47 The correct answer is B The first step in answering this question is to determine what we will call your critical numbers Solve for x as if there were an equal sign instead of an inequality sign: (x − 1)(4 − x) = x − = and − x = x = and x = Only answer choice B has both of these numbers, so answer choice B is correct To make sure, choose a number that is greater than 4, like 5, and see if it is a solution to the inequality (x − 1)(4 − x) < 0: (4)(−1) = −4 < 0; x > is correct Choose a number that is less than 1, like 0: (−1)(4) = −4 < 0; x < is also correct 48 The correct answer is H You are given that the triangle is an isosceles right triangle, which means that it is a 45◦ −45◦ −90◦ triangle One of the characteristics of this √ type of triangle is that the hypotenuse is times the measure of each of the √ legs So the ratio of the hypotenuse to PQ is : 49 The correct answer is D The tangent of any acute angle is the opposite side divided by the length of opp Cosine is equal to the the adjacent side adj length of adjacent side divided by the hypotenuse opp adj Since tan x = , then the adjahyp adj cent side must be 4; eliminate answer choices B, C, and D Now, figure out the measure of the hypotenuse by using the pythagorean theorem: 32 + 42 = (hyp)2 840 PRACTICE TEST 10 ANSWERS AND EXPLANATIONS + 16 = (hyp)2 25 = (hyp)2 = the hypotenuse So, cos x = 50 The correct answer is J This question requires you to factor out the (a+b) so that you end up with an equivalent, but simpler, equation The equaa+b can be simplified in the tion b(a + b) − 2a(a + b) following way: a+b 1 × = a + b b − 2a b − 2a By factoring out the (a+b), the equation is reduced to b − 2a 51 The correct answer is D You know that QRX is a right triangle, and QR = Since X is the midpoint√ of SR, which is 8, RX must equal QX = 2, since √ RX is an isosceles triangle where of the legs the hypotenuse is times the measure √ 2, PX must also of the triangle Since QX = √ the perimeter of triangle PXQ is equal √ So, √ √ + + 2, or + 52 The correct answer is K The question states that the slope of the line is By definition, the slope of y1 − y2 change in y , so set equal to a line is the change in x x1 − x2 and solve for t: − (−2) = 3−t = 3−t (3 − t) × = 2(3 − t) = 18 3−t =9 −t = 6, or t = −6 53 The correct answer is A To solve this problem, actual base model base set up a proportion = actual height model height 32 = 56 x Cross-multiply and solve for x: 32x = 448 x = 14 54 The correct answer is H The first step in answering this question is to rearrange the terms so that the x’s are all on one side of the inequality, −5x − > 3x + 1: −7 > 8x + The next step is to get x alone: −8 > 8x −1 > x, which is equivalent to x < −1 55 The correct answer is C The first step in answering this question is to use the Pythagorean Theorem, a2 + b2 = c2 , to determine the length of AB BD, the line that bisects AC, creates a second triangle, BAD Use the length of lines BD and AD to determine the length of AD (let AD = a) a2 + 42 = 52 a2 + 16 = 25 a2 = a=3 Because you known that BD bisects AC, you know that the length of DC must also equal 56 The correct answer is G First, solve the equation for x: 2x + x−2= 3x − = 2x + x = 11 Only the interval 11 ≤ x