AccelePrep for the ACT Test 2nd Edition Student Text

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

ƒ‡ •—”‡ ›‘—” ƒ•™‡” ‹• ƒ ’Žƒ—•‹„Ž‡ ƒ•™‡” –‘ –Š‡ “—‡•–‹‘ ƒ•‡†Ǥ ‹ƒŽŽ›ǡ –Š‡ ƒ•™‡”• –Š‡•‡Ž˜‡•…ƒ „‡ —•‡† –‘ †‘—„Ž‡Ǧ…Š‡… ›‘—”…ƒŽ…—Žƒ–‹‘•Ǥ ˜‡ ™Š‡ ›‘—…ƒǯ– ‰‡– –Š‡ ƒ•™‡” †‹”‡…–Ž›ǡ…‘‘ •‡•‡…ƒ Š‡Ž’ ‡Ž‹‹ƒ–‡…Š‘‹…‡• ƒ† ‹’”‘˜‡ ›‘—”…Šƒ…‡• ‘ˆ ‰—‡••‹‰…‘””‡…–Ž›Ǥ ‘‡–‹‡•ǡ –Š‡ ƒ•™‡”• ‹…Ž—†‡…Š‘‹…‡• –Šƒ–ǡ –ƒ‡ ƒ– ˆƒ…‡ ˜ƒŽ—‡ǡ •‡‡ ’Žƒ—•‹„Ž‡ǡ „—– ”‡ƒŽŽ› ƒ”‡ǯ–Ǥ 1.  –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ ‹ˆ –Š‡ Ž‡‰–Š ‘ˆ –Š‡ †‹ƒ‰‘ƒŽ QR of rectangle PQSR is 5 and the circle with center O is tangent to PQSR at two points, what is the area of the shaded portion? P Q

Examples:

STRATEGY ALERT Practice applying common sense in eliminating answer …Š‘‹…‡•Ǥ ‹–Š ‘”‡ ’”ƒ…–‹…‡ǡ you will be able to do this quickly and under time pressure, so that you will ‹’”‘˜‡ ›‘—” ƒ……—”ƒ…› ƒ† —Ž–‹ƒ–‡Ž› ›‘—” •…‘”‡Ǥ Explanations for the example questions are included later in the chapter. Circle your answers now. Later when you reach the explanations at the end of the section, come back and check to make sure you answered the questions correctly.

3

O

R

S

Ǥ 12 9 S Ǥ 9 3 S Ǥ 9 4 9 S Ǥ 12 4 9 S Ǥ ƒ‘– „‡ †‡–‡”‹‡† ˆ”‘ –Š‡ ‹ˆ‘”ƒ–‹‘ ‰‹˜‡ 2.  –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ ™Šƒ– ‹• –Š‡ •— ‘ˆ –Š‡ ‹†‹…ƒ–‡† ƒ‰Ž‡•ǫ

Ǥ ͷͶͲ Ǥ ͹ʹͲ Ǥ ͻͲͲ Ǥ ͳǡͲͺͲ Ǥ ͳǡʹͲͲ