AccelePrep for the ACT Test 2nd Edition Student Text

84 • S URGE TO S UCCESS ! M ATH T EST P REP

5. ˆ –Ї ˜ƒŽ—‡ ‘ˆ r in the equation 3 Q r 2 r ‹• †‘—„އ†ǡ –Ї ˜ƒŽ—‡ ‘ˆ Q is —Ž–‹’Ž‹‡† „› ™Šƒ– ˜ƒŽ—‡ǫ Ǥ 4 1 Ǥ ʹ Ǥ ͵ Ǥ Ͷ Ǥ ͸ ‘” ‡˜‡”› —Ž–‹’އǦ…Š‘‹…‡ ‹–‡ǡ ›‘—ǯ”‡ ‰‹˜‡ –Ї ”‹‰Š– ƒ•™‡”Ǥ ˆ…‘—”•‡ǡ ›‘— Šƒ˜‡ –‘ ϐ‹† ‹–ǡ „—– ™‹–Š •‘‡ “—‡•–‹‘•ǡ ‹–ǯ• Œ—•– ƒ ƒ––‡” ‘ˆ –‹‡Ǥ ‡•– –Ї ƒ•™‡”…Š‘‹…‡• —–‹Ž ›‘— ϐ‹† –Ї ”‹‰Š– ‘‡Ǥ 6. The sum of m and n ‹• ‡˜‡Ž› †‹˜‹•‹„އ „› ͷǡ ™Š‡”‡ m and n are ‹–‡‰‡”•Ǥ ˆ –Ї •— ‘ˆ m and 4 is three times as large as n , which of the ˆ‘ŽŽ‘™‹‰ „‡ –Ї ˜ƒŽ—‡ ‘ˆ n ? Ǥ 6 Ǥ ͺ Ǥ ͳͳ Ǥ 16 Ǥ ʹͳ If the answers are arranged in order and the stem doesn’t include a –Š‘—‰Š–Ǧ”‡˜‡”•‡”ǡ •–ƒ”– ™‹–Š –Ї ‹††Ž‡…Š‘‹…‡•ǡ ȋ Ȍ ‘” ȋ ȌǤ ˆ –Šƒ–…Š‘‹…‡ ™‘”•ǡ ›‘—ǯ˜‡ ˆ‘—† –Ї ”‹‰Š– ƒ•™‡”Ǥ ˆ ‹– †‘‡•ǯ– ™‘”ǡ †‡…‹†‡ ™Š‡–Ї” ‹– ‹• –‘‘ Žƒ”‰‡ ‘” –‘‘ •ƒŽŽǡ ƒ† –‡•– –Ї ‡š– •ƒŽŽ‡” ‘” Žƒ”‰‡”…Š‘‹…‡Ǥ Ї–Ї” –Šƒ– ‘‡ ™‘”• ‘” ‘–ǡ ›‘—ǯ”‡ †‘‡Ǥ ˆ ‹– †‘‡• ™‘”ǡ –Šƒ–ǯ• ›‘—” ƒ•™‡”Ǥ ˆ ‹– †‘‡•ǯ– ™‘”ǡ –Ї ƒ•™‡” ‹• –Ї ‡š– Žƒ”‰‡” ‘” –Ї ‡š– •ƒŽŽ‡” —„‡”ǡ ƒ† ›‘— †‘ǯ– Šƒ˜‡ –‘ „‘–Ї” –‡•–‹‰ ‹–Ǥ Š‹• ™ƒ›ǡ ›‘— Šƒ˜‡ –‘ –‡•–ǡ at most, two choices, often making this approach faster than the math •‘Ž—–‹‘Ǥ ȋ ˆ ƒ ‹–‡ ‹…Ž—†‡• ƒ –Š‘—‰Š–Ǧ”‡˜‡”•‡”ǡ ›‘— Šƒ˜‡ –‘ –‡•–ǡ ƒ– ‘•–ǡ ˆ‘—”ǤȌ 7. ›† ”‡…‡‹˜‡† ƒ ‰‹ˆ– ‘ˆ ‘‡› ˆ‘” Ї” „‹”–Іƒ› ƒ† •’‡– ‘‡Ǧˆ‘—”–Š ‘ˆ ‹– ‘ „‘‘• ƒ† ‘‡Ǧ–Š‹”† ‘ˆ ™Šƒ– ”‡ƒ‹‡† ‘ —•‹…Ǥ ˆ ›† •–‹ŽŽ Šƒ† $60, what was the original amount of the gift? Ǥ ̈́͵Ͳ Ǥ ̈́͹Ͳ Ǥ ̈́ͺͲ Ǥ ̈́ͳͲͲ Ǥ ̈́ͳʹͲ

TEST-THE-TEST

Example:

PACING TIP ˆ ›‘— Šƒ˜‡ ƒ•™‡”‡† ƒŽŽ “—‡•–‹‘• ƒ† Šƒ˜‡ –‹‡ remaining, use that time to double-check any answers –Šƒ– ›‘— ƒ› Šƒ˜‡ ‰—‡••‡† and after that, double-check …ƒŽ…—Žƒ–‹‘• ‘ ’”‘„އ•Ǥ

Example:

STRATEGY ALERT The Test-the-Test method ™‘”• ™‡ŽŽ –‘ •‘Ž˜‡…‡”–ƒ‹ ’”‘„އ• „—– ‘– ‡˜‡”› ’”‘„އǤ ‹–Š ’”ƒ…–‹…‡ǡ ‹– will become clear to you ™Š‡ –‘ —•‡ ‡•–Ǧ–ЇǦ ‡•–Ǥ  ‡šƒ’އ ͓͹ǡ –Š‹ ƒ„‘—– ™Š› ‡•–Ǧ–ЇǦ ‡•– ™‘”• ™‡ŽŽǤ Šƒ– “—ƒŽ‹–‹‡• ‘ˆ –Ї ’”‘„އ hint that Test-the-Test is ideal? In contrast, look back ƒ– ’”‡˜‹‘—• ‡šƒ’އ• ƒ† ϐ‹† ‘‡ ™Š‡”‡ ‡•–Ǧ–ЇǦ ‡•– ™‘—ކ ‘– ™‘” ™‡ŽŽǤ

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