Victory for the ACT Student Text 15e

L ESSON | P RELIMINARIES AND S TRATEGIES • 205

–‡• ͓ͳͷȂͳ͸ ”‡ˆ‡” –‘ –Š‡ ˆ‘ŽŽ‘™‹‰ ϐ‹‰—”‡Ǥ

The Cambridge Edge Reference these •–”ƒ–‡‰‹‡• ƒ• ›‘— ™‘” –Š”‘—‰Š –Š‡ math lessons with ›‘—” –‡ƒ…Š‡”Ǥ Š‡•‡ strategies can be used as alternatives to “traditional” solutions ƒ†…ƒ •ƒ˜‡ ›‘— valuable test time. The Cambridge Edge •‡ –Š‡ ϐ‹‰—”‡• ›‘— are given. Even though –Š‡ †‹”‡…–‹‘• •ƒ› –Š‡ ϐ‹‰—”‡• ƒ”‡ǯ– ‡…‡••ƒ”‹Ž› †”ƒ™ –‘ scale, 9 times out of ͳͲ –Š‡› ƒ”‡ †”ƒ™ …‘””‡…–Ž›ǡ •‘ ›‘—…ƒ ”‡Ž› ‘ –Š‡ ‹ ƒ ’‹…ŠǤ The Cambridge Edge Items #15 and 16 are †‡•‹‰‡† –‘ Š‡Ž’ ›‘— see the difference between valid and invalid conclusions „ƒ•‡† ‘ ϐ‹‰—”‡• that are not drawn to scale. In this …ƒ•‡ǡ ‘™‹‰ –Š‡ actual values of the angles is irrelevant to answering the questions. Use the Answer Choices Item #17 Pay Special Attention to “Signal” Words Items #18–21

18. Œƒ”…‘–ƒ‹• „Žƒ… ƒ† ™Š‹–‡ ƒ”„Ž‡•Ǥ ˆ –Š‡”‡ ƒ”‡ ͳͲ ƒ”„Ž‡• ‹ –Š‡ Œƒ”ǡ –Š‡ ™Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰…‘—Ž† „‡ –Š‡ ”ƒ–‹‘ ‘ˆ „Žƒ… –‘ ™Š‹–‡ ƒ”„Ž‡•ǫ F. :9 1 The Cambridge Edge Signal words include required units or other terms underlined, capitalized, ‘” ‹–ƒŽ‹…‹œ‡† ˆ‘”…Žƒ”‹–›Ǥ Š‡› ƒŽ•‘ ‹…Ž—†‡ –Š‘—‰Š–Ǧ”‡˜‡”•‡”• •—…Š ƒ• ǡ ǡ ƒ† Ǥ If n is a negative number, which of the following is the least in value? A. n 20. If a machine produces 240 thingamabobs ’‡” Š‘—”ǡ Š‘™ ƒ› minutes are needed for the machine to produce 30 thingamabobs? F. 6 G. 7.5 H. 8 J. 12 K. 12.5 2 of the people are married, what is the maximum number of women in the room who could be unmarried? A. 80 B. 72 C. 48 D. 40 E. 32 21. ˆ –Š‡ ͳʹͲ ’‡‘’Ž‡ ‹ ƒ ”‘‘ǡ 5 3 are women. If 3 G. :7 3 H. :1 1 J. :1 4 K. :1 10 B. n n C. n n D. n 2 E. n 4 19.

Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰ —•– „‡ –”—‡ǫ I. PS SR II. z 90 III. x y ! Ǥ ‘Ž› Ǥ ƒ† ‘Ž› Ǥ ƒ† ‘Ž› D. I, II, and III Ǥ ‡‹–Š‡” ǡ ǡ ‘” Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰ —•– „‡ –”—‡ǫ I. PR PS ! II. z x ! III. x y z + = Ǥ ‘Ž› Ǥ ƒ† ‘Ž› Ǥ ƒ† ‘Ž› J. I, II, and III Ǥ ‡‹–Š‡” ǡ ǡ ‘”  ƒ…‡”–ƒ‹ ›‡ƒ”ǡ –Š‡ —„‡” ‘ˆ ‰‹”Ž• ™Š‘ ‰”ƒ†—ƒ–‡† ˆ”‘ ‹–› ‹‰Š…Š‘‘Ž ™ƒ• –™‹…‡ –Š‡ —„‡” ‘ˆ „‘›• ™Š‘ ‰”ƒ†—ƒ–‡†Ǥ If 4 3 of the girls and 6 5 ‘ˆ –Š‡ „‘›• ™‡– –‘…‘ŽŽ‡‰‡ ‹‡†‹ƒ–‡Ž› ƒˆ–‡” ‰”ƒ†—ƒ–‹‘ǡ what fraction of the graduates that ›‡ƒ” ™‡– –‘…‘ŽŽ‡‰‡ ‹‡†‹ƒ–‡Ž› ƒˆ–‡” graduation? A. 36 5 B. 27 16 C. 9 7 D. 36 29 E. 36 31 The Cambridge Edge Item #17 illustrates how the wrong answers correspond –‘ ‡””‘”• ‹ –Š‹‹‰ or a misreading of the question.

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