Victory for the ACT Student Text 15e

280 • M ATH

“Eliminate-and-Guess” Strategy If unable to determine the correct answer directly by using mathematical methods or indirectly by using either the “test-the-test” or “plug-and-chug” strategy, eliminate as many answer choices ƒ• ’‘••‹„Ž‡ ƒ† –Š‡ ‰—‡•• ˆ”‘ –Š‡ ”‡ƒ‹‹‰ ƒ•™‡”…Š‘‹…‡•Ǥ ‘” †‹ˆϐ‹…—Ž– ƒ–Š‡ƒ–‹…• ‹–‡•ǡ eliminate answer choices that can be reached either by a single step or by copying a number from the item.

CHECKLIST OF SKILLS AND CONCEPTS Number and Quantity ___ Basic Arithmetic Manipulations ___ Properties of Numbers (Odd, Even, Negative, Positive, Consecutive) ̴̴̴…‹‡–‹ϐ‹…‘–ƒ–‹‘ ̴̴̴ ‘’Ž‡š —„‡”• ___ Matrices and Vectors ___ Ratios (Two-Part, Three-Part, Weighted), Rates, and Proportions (Direct, Indirect) ___ Percentages (Change, Original Amount, Price Increase) Algebra and Functions ̴̴̴ ˜ƒŽ—ƒ–‹‘ ‘ˆ š’”‡••‹‘• (Rational, Radical) ̴̴̴ š’‘‡–• ȋ –‡‰‡”ǡ ƒ–‹‘ƒŽǡ ‡‰ƒ–‹˜‡Ȍ ___ Factoring ̴̴̴ ‡“—‡…‡ ̴̴̴ ‘Ž˜‹‰ ‹‰Ž‡ ƒ”‹ƒ„Ž‡ “—ƒ–‹‘• ƒ† ‡“—ƒŽ‹–‹‡• ___ Absolute Value ___ Function Math ___ Domain and Range ̴̴̴ ‘Ž˜‹‰ “—ƒ–‹‘• ȋ —Ž–‹Ǧ ƒ”‹ƒ„Ž‡ǡ ‹‡ƒ”ǡ ‹—Ž–ƒ‡‘—•ǡ —ƒ†”ƒ–‹…Ȍ ̴̴̴ –‘”› ”‘„Ž‡•ǣ ‘” ȋ ‘‹– ˆˆ‘”–Ȍǡ Averages Coordinate Geometry ___ Coordinate Plane ̴̴̴ Ž‘’‡ ‘ˆ ƒ ‹‡ ̴̴̴ Ž‘’‡Ǧ –‡”…‡’– ‘” ‘ˆ ƒ ‹‡ƒ” “—ƒ–‹‘ ___ Distance Formula ̴̴̴ ”ƒ’Š‹‰ ‹‡ƒ” “—ƒ–‹‘• ̴̴̴ ”ƒ’Š‹‰ ‹”•–Ǧ ‡‰”‡‡ ‡“—ƒŽ‹–‹‡• ̴̴̴ ”ƒ’Š‹‰ —ƒ†”ƒ–‹…“—ƒ–‹‘• ̴̴̴ ‡”—–ƒ–‹‘• ‘ˆ “—ƒ–‹‘• ƒ† ”ƒ’Š•

Geometry ___ Lines and Angles (Perpendicular, Parallel, Intersecting, Big Angle/Little Angle Theorem) ̴̴̴ ”‹ƒ‰Ž‡• ȋ “—‹Žƒ–‡”ƒŽǡ •‘•…‡Ž‡•ǡ…—–‡ǡ Obtuse, Perimeter, Area, Altitudes, Angles, Bisectors, Pythagorean Theorem) ̴̴̴ —ƒ†”‹Žƒ–‡”ƒŽ• ȋ “—ƒ”‡•ǡ ‡…–ƒ‰Ž‡•ǡ Rhombuses, Parallelograms, Trapezoids, Perimeter, Area) ̴̴̴ ‘Ž›‰‘• ȋ — ‘ˆ –‡”‹‘” ‰Ž‡•Ȍ ___ Circles (Chords, Tangents, Radius, Diameter, Circumference, Area) ̴̴̴ ‘Ž‹†• ȋ —„‡•ǡ ›Ž‹†‡”•ǡ ’Š‡”‡•ǡ ‘Ž—‡•ǡ —”ˆƒ…‡ ”‡ƒ•Ȍ ̴̴̴ ‘’Ž‡š ‹‰—”‡• Trigonometry ___ Trigonometric Functions ___ Trigonometric Values ___ Trigonometric Relationships Statistics and Probability ___ Measures of Center (Average, Median, Mode) ___ Probability ___ Counting Methods (Combinations, Permutations) ̴̴̴ ‡–• ȋ ‹‘ǡ –‡”•‡…–‹‘ǡ Ž‡‡–•Ȍ ___ Graphs (Bar, Cumulative, Line) ___ Pie Charts ___ Tables ̴̴̴…ƒ––‡”’Ž‘–•