AccelePrep for the ACT Test 2nd Edition Student Text

C HAPTER 4 | F AST T RACK TO M ATH M ECHANICS • 73 3. ’‘—† ‘ˆ ™ƒ–‡” ‹• ‡˜ƒ’‘”ƒ–‡† ˆ”‘ ͸ ’‘—†• ‘ˆ •‡ƒ™ƒ–‡”…‘–ƒ‹‹‰ ͶΨ •ƒŽ–Ǥ Šƒ– ‹• –Š‡ ’‡”…‡–ƒ‰‡ ‘ˆ •ƒŽ– ‹ –Š‡ •‘Ž—–‹‘ ˆ‘ŽŽ‘™‹‰ ‡˜ƒ’‘”ƒ–‹‘ǫ Ǥ ͵Ǥ͸Ψ Ǥ ͶǤͲΨ Ǥ ͶǤͺΨ Ǥ ͷǤʹΨ Ǥ ͸ǤͲΨ 1. Š‡ ‹–‡ •–‡ ’”‡•‡–• –™‘ Ž‹‡ƒ” ‡“—ƒ–‹‘• ‹ –™‘ ˜ƒ”‹ƒ„Ž‡• ƒ† ƒ•• for the sum of x and y if ( x , y Ȍ ‹• ƒ •‘Ž—–‹‘ –‘ –Š‡ •›•–‡Ǥ Ž‹‹ƒ–‡ ‘‡ ˜ƒ”‹ƒ„Ž‡ „›…‘„‹‹‰ –Š‡ –™‘ ‡“—ƒ–‹‘•ǣ ( ) 2 3 2 10 2 1 Ǥ Look ƒ– –Š‡ ƒ•™‡”…Š‘‹…‡• –‘ ϐ‹† ƒ ƒ–…Šǣ –Š‡ ƒ•™‡” ‹• ȋ ȌǤ 2. Š‡ ™‘”†• Dz™Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰dz –‡ŽŽ ›‘— –‘ ‡šƒ‹‡ ‡ƒ…Š ‘ˆ –Š‡ ƒ•™‡”…Š‘‹…‡• –‘ ϐ‹† –Š‡ ‘‡ –Šƒ– •ƒ–‹•ϐ‹‡• –Š‡ •–ƒ–‡†…‘†‹–‹‘•Ǥ ‹”•–ǡ †‡–‡”‹‡ ™Šƒ– ›‘—…ƒ ˆ”‘ –Š‡ •–‡ ‹–•‡ŽˆǤ ‹…‡ t s is an integer, s must be greater than t Ǥ ‹‡™‹•‡ǡ u t is an integer, so t must be greater than u Ǥ Š‡ ”‡Žƒ–‹‘•Š‹’ ƒ‘‰ –Š‡ –Š”‡‡ ˜ƒ”‹ƒ„Ž‡• ‹• s > t > u Ǥ ‘•‹†‡” –Š‡ ƒ•™‡”…Š‘‹…‡• ™‹–Š –Š‹• ”‡Žƒ–‹‘•Š‹’ ‹ ‹†Ǥ Ž› s u ǡ ȋ Ȍǡ „‡ ƒ ‹–‡‰‡” „‡…ƒ—•‡ –Š‡ †‡‘‹ƒ–‘” ‹• bigger –Šƒ –Š‡ —‡”ƒ–‘”Ǥ 3. Š‡ ‘”‹‰‹ƒŽ ͸ ’‘—†• ‘ˆ •‡ƒ™ƒ–‡”…‘–ƒ‹‡† ͲǤʹͶ ’‘—†• ‘ˆ •ƒŽ– ( 0.04 6 0.24 # ȌǤ ˆ–‡” ‡˜ƒ’‘”ƒ–‹‘ǡ –Š‡ ”‡ƒ‹‹‰ ͷ ’‘—†• ‘ˆ •‡ƒ™ƒ–‡” •–‹ŽŽ…‘–ƒ‹• –Š‡ •ƒ‡ ͲǤʹͶ ’‘—†• ‘ˆ •ƒŽ–ǡ •‘ –Š‡ “—‡•–‹‘ ‹• ”‡ƒŽŽ› ƒ•‹‰ǡ DzͲǤʹͶ ‹• ™Šƒ– ’‡”…‡–ƒ‰‡ ‘ˆ ͷǫdz •‡ –Š‡ Dz‹•Ǧ‘˜‡”Ǧ‘ˆdz equation for percentages: & % 100 of is & % 5 0.24 100 % % 5 0.24 100 4.8 : Ǥ ‘–‡ –Šƒ– because –Š‡ ƒ•™‡”• ƒ”‡ ™‡ŽŽ †‡ϐ‹‡†ǡ ƒ ‡šƒ…–…ƒŽ…—Žƒ–‹‘ ‹•ǯ– ‡˜‡ ‡…‡••ƒ”›Ǥ A glance at the answer choices is enough to determine the answer —•– „‡ ͶǤͺΨ ȋ 24 5 ' ‹• ‘”‡ –Šƒ Ͷ „—– Ž‡•• –Šƒ ͷȌǤ & 13 13 1 •‡ –Š‹• ˜ƒŽ—‡ ˆ‘” ( ) y y 3 1 2 10 7 & x y x y x x x –‘ ϐ‹† y ˆ”‘ –Š‡ ϐ‹”•– ‡“—ƒ–‹‘ǣ 3 1 Ǥ Š‡ ˜ƒŽ—‡ ‘ˆ x y is 7 4 7 2 2 1 3 2 1 4

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