Victory for the ACT Exam 16e TG Sample

M ATH C OURSE C ONCEPT O UTLINE • 333

3. Equations Involving Rational Expressions (Items #21–23) ..................................................................................437–439 4. Inequalities Involving Rational Expressions (Item #24) .................. 440 5. Equations Involving Radical Expressions (Items #25–28) ..................................................................................441–445 6. Equations Involving Integer and Rational Exponents

(Items #29–32) .................................................................................446–447 7. Equations Involving Logarithms (Items #33–34) .....................448–449 8. Equations Involving Absolute Value (Items #35–36) ............. 449–451 9. Inequalities Involving Absolute Value (Items #37–39) ......... 452–454 D. Evaluating, Interpreting, and Creating Algebraic Functions .......................................454 1. Function Notation (Items #40–47) ..............................................454–457 2. Concepts of Domain and Range (Items #48–51) ................... 458–459 3. Functions as Models (Items #52–54) ......................................... 460–461 E. Solving Simultaneous Equations (Items #55–60) ................................................ 462–464 F. Solving Quadratic Equations and Relations (Items #61–65) ................................ 465–4 67 G. Algebra Strategies: “Test-the-Test” and “Plug-and-Chug” (Items #66–77) ..... 468–476 V. UNIT 3 | COORDINATE GEOMETRY.................................................................. 477 A. The Coordinate System (Items #1–6) ....................................................................... 477–481 B. Slope of a Line (Items #7–10) .................................................................................... 482–485 C. Slope-Intercept Form of a Linear Equation (Items #11–15) .................................. 485–488 D. Distance and Midpoint Formulas (Items #16–19) .................................................. 489–492 E. Graphs of Linear Equations (Items #20–21) ........................................................... 493–494 F. Graphs of First-Degree Inequalities (Item #22) .................................................... 495–496 G. Graphs of Quadratic Equations and Relations (Items #23–24) .......................... 497–499 H. Qualitative Behavior of Graphs of Functions (Items #25–26) .................................... 500 I. Transformations and Their E ects on Graphs of Functions (Items #27–28) .............................................................................................................501–502 VI. UNIT 4 | GEOMETRY ............................................................................................503 A. Geometric Notation.............................................................................................................503 B. Lines and Angles (Items #1–5) ................................................................................. 503–506 C. Triangles ................................................................................................................................ 507 1. Pythagorean Theorem (Item #6) .......................................................... 507 2. 45°-45°-90° Triangles (Items #7–8) ...................................................... 508 3. 30°-60°-90° Triangles (Item #9) ............................................................ 509 4. Properties of Triangles (Items #10–11) ........................................509–510 D. Rectangles and Squares (Items #12–14) ....................................................................511–512 E. Circles (Item #15) ....................................................................................................................513 F. Properties of Tangent Lines (Items #16–19) .............................................................514–516 G. Complex Figures (Items #20–25) ..............................................................................516–519