Victory for the ACT Exam 16e TG Sample

332 • M ATH

C. General Strategies ..............................................................................................................364

1. Use the Figures (Items #13–16) ................................................... 364–366 2. Use the Answer Choices (Item #17) ..................................................... 366 a) Answer Choices Are Arranged in Order ..................................366 b) Wrong Choices Correspond to Conceptual Errors .........................................................................................366–367 3. Pay Special Attention to “Signal” Words

(Items #18–21) ...................................................................................367–370 4. Answer the Question Being Asked (Items #22–26) ..............370–372 5. Carefully Consider “Cannot Be Determined” (Item #27) ...... 372–373 D. Time-Saving Shortcuts and Power Strategies ...............................................................373

1. Time-Saving Test Prep Shortcuts ...............................................373–374 2. Test-the-Test (Items #28–29) ....................................................... 374–375 3. Plug-and-Chug (Item #30) .......................................................................376 4. Eliminate-and-Guess (Item #31) ................................................... 376–377

III. UNIT 1 | NUMBER AND QUANTITY ...................................................................378 A. Basic Arithmetic Strategies ...............................................................................................378 1. Just Do It (Items #1–2) .................................................................... 378–379 2. Look for Shortcuts (Items #3–11) ................................................. 380–384 3. Bridge the Gap (Items #12–13) .....................................................385–387 B. Properties of Numbers (Items #14–19) .................................................................... 388–393 C. Scientific Notation (Items #20–21) .......................................................................... 393–395 D. Complex Numbers (Items #22–23) ......................................................................... 396–397 E. Exit Ticket (Items #1–5) .............................................................................................. 397–398 F. Matrices and Vectors (Items #24–26) ...................................................................... 399–401 G. Rates and Proportions (Items #27–34) ................................................................... 402–409 H. Percentages (Items #35–41) ....................................................................................... 410–414 I. Arithmetic Strategy: “Test-the-Test” (Items #42–46) ............................................. 415–417 IV. UNIT 2 | ALGEBRA AND FUNCTIONS................................................................418 A. Manipulating Algebraic Expressions ................................................................................418

1. Basic Algebraic Manipulations (Items #1–2) .............................. 418–419 2. Evaluating Expressions (Items #3–7) ......................................... 420–421 3. Manipulating Expressions Involving Exponents

(Items #8–9) ..................................................................................... 422–423 4. Factoring Expressions (Items #10–12) ....................................... 424–426 5. Logarithmic Expressions (Items #13–14) ................................... 426–428 B. Evaluating Sequences (Items #15–18) ..................................................................... 429–433 C. Solving Algebraic Equations or Inequalities with One Variable .................................434

1. Simple Equations (Item #19) .........................................................434–435 2. Simple Inequalities (Item #20) .................................................... 435–436