AccelePrep for the ACT Test 2nd Edition Student Text

C HAPTER 4 | F AST T RACK TO M ATH M ECHANICS • 77

Š‘—‰Š–Ǧ”‡˜‡”•‡”• •—…Š ƒ• Dz‘–ǡdz Dz‡š…‡’–ǡdz ‘” Dz„—–dz –—” ƒ “—‡•–‹‘ ‹•‹†‡ ‘—–Ǥ ƒ” ƒ› –Š‘—‰Š–Ǧ”‡˜‡”•‡”• –‘ ‡’Šƒ•‹œ‡ –Šƒ– –Š‡…‘””‡…– ƒ•™‡” ‹• –Š‡ ‘‡ –Šƒ– †‘‡•ǯ– •‘Ž˜‡ –Š‡ ‹–‡ ‘”…ƒǯ– „‡ –Š‡ •‘Ž—–‹‘Ǥ 4. There are 422 students at Emerson Elementary, and 20 percent of the ϐ‹ˆ–ŠǦ‰”ƒ†‡”• „‘—‰Š– ƒ ›‡ƒ”„‘‘Ǥ ˆ ͳͺ ϐ‹ˆ–ŠǦ‰”ƒ†‡”• „‘—‰Š– ›‡ƒ”„‘‘•ǡ Ǥ Ͷ Ǥ Ͷ͵ Ǥ ͻͲ Ǥ ͵͵ʹ Ǥ ͵ͶͲ –ǯ• ‡ƒ•› –‘ ƒ‡…ƒ”‡Ž‡•• ‹•–ƒ‡•ǡ •‘ ƒ˜‘‹† –Š‡•‡ „› —†‡”Ž‹‹‰ǡ…‹”…Ž‹‰ǡ and marking with a star the key words and phrases in each item stem as ›‘— ’”‡˜‹‡™ –Š‡ ’”‘„Ž‡Ǥ – –ƒ‡• ƒŽ‘•– ‘ ƒ††‹–‹‘ƒŽ –‹‡ ƒ† Š‡Ž’• ›‘— •–ƒ› ˆ‘…—•‡† ‘ ™Šƒ– –Š‡ “—‡•–‹‘ ƒ••Ǥ Š‡ †‹”‡…–‹‘• ˆ‘” –Š‡ ƒ–Š ‡•– •’‡…‹ϐ‹…ƒŽŽ› •–ƒ–‡ –Šƒ– Dz Ž‡•• ‘–Š‡”™‹•‡ stated, assume } ϐ‹‰—”‡• ƒ”‡ ‡…‡••ƒ”‹Ž› †”ƒ™ –‘ •…ƒŽ‡Ǥdz ‘™‡˜‡”ǡ –Š‡ ϐ‹‰—”‡• ƒ”‡ ‹–‡†‡† –‘ ’”‘˜‹†‡ ‹ˆ‘”ƒ–‹‘ –Šƒ– ‹• —•‡ˆ—Ž ‹ •‘Ž˜‹‰ –Š‡ ‹–‡•Ǥ – ™‘—Ž†ǯ– ƒ‡ ƒ› •‡•‡ ˆ‘” –Š‡ –‡•– –‘ †‹•–‘”– ϐ‹‰—”‡• ‹ •—…Š ƒ ™ƒ› ƒ• –‘ ‹•Ž‡ƒ†ǡ ƒ• –Š‹• ™‘—Ž† —†‡”‹‡ –Š‡ ˜ƒŽ‹†‹–› ‘ˆ –Š‡ –‡•–Ǥ  ’”ƒ…–‹…‡ǡ –Š‡ ϐ‹‰—”‡• ƒ”‡ ƒŽ‘•– ƒŽ™ƒ›• †”ƒ™ –‘ •…ƒŽ‡Ǥ ‹‰—”‡• ‘– †”ƒ™ –‘ •…ƒŽ‡ ™‹ŽŽ ‘Ž› „‡ –Š‘•‡ ˆ‘” ™Š‹…Š ‡ƒ•—”‡‡–• ƒ”‡ ‹””‡Ž‡˜ƒ– ‘” ‘– ‰‹˜‡ǡ ‡Ǥ‰Ǥǡ ƒ –”‹ƒ‰Ž‡ ™‹–Š •‹†‡• a , b , and c is not necessarily drawn –‘ •…ƒŽ‡Ǥ 5.  –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ ™Šƒ– ‹• –Š‡ Ž‡‰–Š ‘ˆ AB CD ? Ǥ ͷ Ǥ ͳͲ Ǥ ͳͷ Ǥ ʹͲ Ǥ ͶͲ  –Š‡ ‘–Š‡” Šƒ†ǡ •‹…‡ –Š‡ ‹–‡• ƒ”‡ †”ƒ™ –‘ •…ƒŽ‡ǡ ›‘—…ƒ ’”ƒ…–‹…‡ †‹•–‘”–‹‰ –Š‡ ϐ‹‰—”‡• ȋ…Šƒ‰‡ –Š‡ ƒ‰Ž‡ •‹œ‡ ‘” Ž‡‰–Š ‘ˆ –Š‡ Ž‹‡• –‘ ˜‹•—ƒŽ‹œ‡…‘’ƒ”ƒ–‹˜‡ ”‡Žƒ–‹‘•Š‹’• ‹ –Š‡ ϐ‹‰—”‡ ™Š‡ •’‡…‹ϐ‹…ƒ‰Ž‡ •‹œ‡• ‘” Ž‡‰–Š• ƒ”‡̵– ‰‹˜‡ȌǤ • Ž‘‰ ƒ• –Š‡ Ž‹‡• ƒ† ’‘‹–• ‹ ƒ †‹•–‘”–‡† ϐ‹‰—”‡ ƒ”‡ ‹ –Š‡ •ƒ‡ ’‘•‹–‹‘ ”‡Žƒ–‹˜‡ –‘ ‡ƒ…Š ‘–Š‡” ƒ• ‹ –Š‡ ‘”‹‰‹ƒŽǡ ›‘—ǯŽŽ „‡ ϐ‹‡Ǥ

PAY ATTENTION TO THOUGHT-REVERSERS

Example:

PACING TIP Š‡ •‘Ž˜‹‰ ƒ ƒ–Š problem, start writing down ‰‹˜‡ ‹ˆ‘”ƒ–‹‘ ƒ†Ȁ‘” sketch the problem right ƒ™ƒ›Ǥ Š‹• ™‹ŽŽ ‰‡– ›‘—” „”ƒ‹ •–ƒ”–‡† ƒ† ‰‡– ›‘— ‘˜‹‰ ‹ –Š‡ ”‹‰Š– †‹”‡…–‹‘Ǥ  ‘–Š‡” words, don’t sit idly and ƒ••—‡ –Š‡ ƒ•™‡” ™‹ŽŽ Œ—•– Dz…‘‡dz –‘ ›‘—Ǥ

USE, DISTORT, AND DRAW FIGURES

Example: