Victory fot the ACT Exam 16e ST Sample

M ATH C OURSE C ONCEPT O UTLINE • 137

7. Equations Involving Logarithms (Items #33–34) ............................... 168 8. Equations Involving Absolute Value (Items #35–36) ....................... 169 9. Inequalities Involving Absolute Value (Items #37–39) .................... 169 D. Evaluating, Interpreting, and Creating Algebraic Functions ........................................169 1. Function Notation (Items #40–47) ............................................... 169–170 2. Concepts of Domain and Range (Items #48–51) ...............................170 3. Functions as Models (Items #52–54) ............................................170–171 E. Solving Simultaneous Equations (Items #55–60) ................................................... 171–172 F. Solving Quadratic Equations and Relations (Items #61–65) .......................................... 172 G. Algebra Strategies: “Test-the-Test” and “Plug-and-Chug” (Items #66–77) ....... 173–174 V. UNIT 3 | COORDINATE GEOMETRY...................................................................175 A. The Coordinate System (Items #1–6) ........................................................................ 175–176 B. Slope of a Line (Items #7–10) ............................................................................................... 177 C. Slope-Intercept Form of a Linear Equation (Items #11–15) ............................................. 178 D. Distance and Midpoint Formulas (Items #16–19) .............................................................179 E. Graphs of Linear Equations (Items #20–21) ..................................................................... 180 F. Graphs of First-Degree Inequalities (Item #22) ............................................................... 181 G. Graphs of Quadratic Equations and Relations (Items #23–24) .............................181–182 H. Qualitative Behavior of Graphs of Functions (Items #25–26) ......................................182 I. Transformations and Their E ects on Graphs of Functions (Items #27–28) ..............183 VI. UNIT 4 | GEOMETRY .............................................................................................184 A. Geometric Notation B. Lines and Angles (Items #1–5) ...................................................................................184–185 C. Triangles .................................................................................................................................185

1. Pythagorean Theorem (Item #6) ........................................................... 185 2. 45°-45°-90° Triangles (Items #7–8) ....................................................... 185 3. 30°-60°-90° Triangles (Item #9) ............................................................. 185 4. Properties of Triangles (Items #10–11) .................................................. 186

D. Rectangles and Squares (Items #12–14) ................................................................... 186–187 E. Circles (Item #15) .................................................................................................................... 187 F. Properties of Tangent Lines (Items #16–19) ............................................................. 187–188 G. Complex Figures (Items #20–25) ..............................................................................188–189 H. Solids (Items #26–29) .......................................................................................................... 190 I. Geometry Strategies ............................................................................................................ 191

1. “Guesstimating” (Items #30–32) ............................................................ 191 2. Measuring (Items #33–34) ....................................................................... 191 3. “Meastimating” (Items #35–36) ............................................................. 192

VII. UNIT 5 | TRIGONOMETRY....................................................................................193 A. Definitions of the Six Trigonometric Functions (Items #1–5) ................................193–194 B. Trigonometric Relationships (Item #6) ...............................................................................194