Victory for the ACT Student Text 15e

M ATH C OURSE C ONCEPT O UTLINE • 189

5. Equations Involving Radical Expressions (Items #25–28) .......................................................................................... 220 6. Equations Involving Integer and Rational Exponents

(Items #29–32) .......................................................................................... 220 7. Equations Involving Logarithms (Items #33–34) .............................. 220 8. Equations Involving Absolute Value (Items #35–36) ....................... 221 9. Inequalities Involving Absolute Value (Items #37–39) .................... 221 D. Evaluating, Interpreting, and Creating Algebraic Functions ........................................221

1. Function Notation (Items #40–47) .............................................. 221–222 2. Concepts of Domain and Range (Items #48–51) ............................. 222 3. Functions as Models (Items #52–54) ........................................ 222–223

E. Solving Simultaneous Equations (Items #55–60) ................................................ 223–224 F. Solving Quadratic Equations and Relations (Items #61–65) .........................................224 G. Algebra Strategies: “Test-the-Test” and “Plug-and-Chug” (Items #66–77) .....225–226 V. LESSON 3 | COORDINATE GEOMETRY............................................................227 A. The Coordinate System (Items #1–6) ...................................................................... 227–228 B. Slope of a Line (Items #7–10) ..............................................................................................229 C. Slope-Intercept Form of a Linear Equation (Items #11–15) ............................................230 D. Distance and Midpoint Formulas (Items #16–19) .............................................................231 E. Graphs of Linear Equations (Items #20–21) .....................................................................232 F. Graphs of First-Degree Inequalities (Item #22) ..............................................................233 G. Graphs of Quadratic Equations and Relations (Items #23–24) .......................... 233–234 H. Qualitative Behavior of Graphs of Functions (Items #25–26) .....................................234 I. Transformations and Their Effects on Graphs of Functions (Items #27–28) ......................................................................................................................235 VI. LESSON 4 | GEOMETRY ......................................................................................236 A. Geometric Notation B. Lines and Angles (Items #1–5) ................................................................................. 236–237 C. Triangles ................................................................................................................................ 237

1. Pythagorean Theorem (Item #6) ...........................................................237 2. 45°-45°-90° Triangles (Items #7–8) .......................................................237 3. 30°-60°-90° Triangles (Item #9) .............................................................237 4. Properties of Triangles (Items #10–11) ................................................. 238

D. Rectangles and Squares (Items #12–14) ................................................................. 238–239 E. Circles (Item #15) ...................................................................................................................239 F. Properties of Tangent Lines (Items #16–19) ........................................................... 239–240 G. Complex Figures (Items #20–25) .............................................................................240–241 H. Solids (Items #26–29) ..........................................................................................................242 I. Geometry Strategies ...........................................................................................................243

1. “Guesstimating” (Items #30–32) .......................................................... 243 2. Measuring (Items #33–34) ..................................................................... 243 3. “Meastimating” (Items #35–36) ............................................................ 244