AccelePrep for the ACT Test 2nd Edition Student Text

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

6. Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰ —•– „‡ –”—‡ǫ

Example:

STRATEGY ALERT ‹•–‘”–‹‰ –Š‡ ϐ‹‰—”‡• ‹• ƒ ‘”‡ ˜‹•—ƒŽ ƒ’’”‘ƒ…Š for exploring all logical ’‘••‹„‹Ž‹–‹‡•Ǥ ‡’‡†‹‰ on your strengths or weaknesses, you might work through this problem algebraically or you might distort the image and reason –Š”‘—‰Š –Š‡ ’”‘„Ž‡ ˜‹•—ƒŽŽ›Ǥ

Ǥ < PS SR Ǥ z 90 Ǥ x y > Ǥ x y z < Ǥ > PR PS

ˆ ƒ ‹–‡ †‘‡•ǯ– ’”‘˜‹†‡ ƒ ϐ‹‰—”‡ǡ ›‘— •Š‘—Ž† †”ƒ™ ‘‡ ȋƒ• ƒ……—”ƒ–‡Ž› ƒ• ‡…‡••ƒ”›ȌǤ Š‹• ‹• –”—‡ ˆ‘” ƒ› “—‡•–‹‘ ˆ‘” ™Š‹…Š ƒ †”ƒ™‹‰ ™‘—Ž† Š‡Ž’ǡ ‘– Œ—•– ‰‡‘‡–”› ‹–‡•Ǥ ”ƒ™‹‰ ƒ ’‹…–—”‡ ‹• ‘ˆ–‡ –Š‡ ϐ‹”•– •–‡’ ‹ •‘Ž˜‹‰ ƒ ƒ–Š ’”‘„Ž‡Ǥ 7. …‹”…Ž‡ ‹• ‹•…”‹„‡† ‹ ƒ •“—ƒ”‡Ǥ ˆ –Š‡ ƒ”‡ƒ ‘ˆ –Š‡ •“—ƒ”‡ ‹• Ͷǡ ™Šƒ– ‹• the area of the circle? Ǥ 4 r ‘” ’”‘„Ž‡• –Šƒ– ›‘— ‘™ Š‘™ –‘ •‘Ž˜‡ǡ —•‡ ›‘—”…ƒŽ…—Žƒ–‘” –‘ †‘ –Š‡ ƒ”‹–Š‡–‹…‹ˆ ‹–ǯ• “—‹…‡” –Šƒ „› Šƒ†Ǥ ‡˜‡” ’‡”ˆ‘” Ž‘‰ †‹˜‹•‹‘ ‘” —Ž–‹’Ž› Žƒ”‰‡ —„‡”• „› Šƒ†Ǥ ‘—…ƒ ƒŽ•‘ —•‡ ›‘—”…ƒŽ…—Žƒ–‘” –‘ ‰‡– –Š‡ ”‹‰Š– ƒ•™‡” –‘ “—‡•–‹‘• ›‘— †‘ǯ– ‘™ Š‘™ –‘ •‘Ž˜‡Ǥ ‡”‡ ƒ”‡ •‘‡ ‡šƒ’Ž‡• –‘ ‹ŽŽ—•–”ƒ–‡ –Š‡ –‡…Š‹“—‡Ǥ 8. Š‘–‘• –”ƒ˜‡Ž ƒ– ƒ’’”‘š‹ƒ–‡Ž› 3 10 5 # ‹Ž‘‡–‡”• ’‡” •‡…‘†Ǥ ‘™ Ž‘‰ †‘‡• ‹– –ƒ‡ ƒ ’Š‘–‘ –‘ –”ƒ˜‡Ž 12 10 10 # kilometers? Ǥ 2.5 10 6 # seconds Ǥ 4 10 2 # seconds Ǥ 4 10 5 # seconds Ǥ 3.6 10 6 # seconds Ǥ 36 10 50 # seconds Ǥ 2 r Ǥ r Ǥ 2 r Ǥ 4 r

Example:

USE YOUR CALCULATOR, BUT DON’T OVERUSE IT

Example: