AccelePrep for the ACT Test 2nd Edition Student Text

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

5. ˆ –Š‡ ˜ƒŽ—‡ ‘ˆ r in the equation 3 Q r 2 r ‹• †‘—„Ž‡†ǡ –Š‡ ˜ƒŽ—‡ ‘ˆ Q is —Ž–‹’Ž‹‡† „› ™Šƒ– ˜ƒŽ—‡ǫ Ǥ 4 1 Ǥ ʹ Ǥ ͵ Ǥ Ͷ Ǥ ͸ ‘” ‡˜‡”› —Ž–‹’Ž‡Ǧ…Š‘‹…‡ ‹–‡ǡ ›‘—ǯ”‡ ‰‹˜‡ –Š‡ ”‹‰Š– ƒ•™‡”Ǥ ˆ…‘—”•‡ǡ ›‘— Šƒ˜‡ –‘ ϐ‹† ‹–ǡ „—– ™‹–Š •‘‡ “—‡•–‹‘•ǡ ‹–ǯ• Œ—•– ƒ ƒ––‡” ‘ˆ –‹‡Ǥ ‡•– –Š‡ ƒ•™‡”…Š‘‹…‡• —–‹Ž ›‘— ϐ‹† –Š‡ ”‹‰Š– ‘‡Ǥ 6. The sum of m and n ‹• ‡˜‡Ž› †‹˜‹•‹„Ž‡ „› ͷǡ ™Š‡”‡ m and n are ‹–‡‰‡”•Ǥ ˆ –Š‡ •— ‘ˆ m and 4 is three times as large as n , which of the ˆ‘ŽŽ‘™‹‰ „‡ –Š‡ ˜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 –Š‡ ‹††Ž‡…Š‘‹…‡•ǡ ȋ Ȍ ‘” ȋ ȌǤ ˆ –Šƒ–…Š‘‹…‡ ™‘”•ǡ ›‘—ǯ˜‡ ˆ‘—† –Š‡ ”‹‰Š– ƒ•™‡”Ǥ ˆ ‹– †‘‡•ǯ– ™‘”ǡ †‡…‹†‡ ™Š‡–Š‡” ‹– ‹• –‘‘ Žƒ”‰‡ ‘” –‘‘ •ƒŽŽǡ ƒ† –‡•– –Š‡ ‡š– •ƒŽŽ‡” ‘” Žƒ”‰‡”…Š‘‹…‡Ǥ Š‡–Š‡” –Šƒ– ‘‡ ™‘”• ‘” ‘–ǡ ›‘—ǯ”‡ †‘‡Ǥ ˆ ‹– †‘‡• ™‘”ǡ –Šƒ–ǯ• ›‘—” ƒ•™‡”Ǥ ˆ ‹– †‘‡•ǯ– ™‘”ǡ –Š‡ ƒ•™‡” ‹• –Š‡ ‡š– Žƒ”‰‡” ‘” –Š‡ ‡š– •ƒŽŽ‡” —„‡”ǡ ƒ† ›‘— †‘ǯ– Šƒ˜‡ –‘ „‘–Š‡” –‡•–‹‰ ‹–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‘” Š‡” „‹”–Š†ƒ› 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–‹‘• ‘ ’”‘„Ž‡•Ǥ

Example:

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