Victory fot the ACT Exam 16e ST Sample

136 • M ATH

C. General Strategies ...............................................................................................................152 1. Use the Figures (Items #13–16) ..................................................... 152–153 2. Use the Answer Choices (Item #17) ...................................................... 153 a) Answer Choices Are Arranged in Order b) Wrong Choices Correspond to Conceptual Errors 3. Pay Special Attention to “Signal” Words (Items #18–21) ................. 153 4. Answer the Question Being Asked (Items #22–26) ........................ 154 5. Carefully Consider “Cannot Be Determined” (Item #27) ................ 154 D. Time-Saving Shortcuts and Power Strategies ................................................................155 1. Time-Saving Test Prep Shortcuts

2. Test-the-Test (Items #28–29) ................................................................. 155 3. Plug-and-Chug (Item #30) ....................................................................... 155 4. Eliminate-and-Guess (Item #31) ............................................................. 155

III. UNIT 1 | NUMBER AND QUANTITY ................................................................... 156 A. Basic Arithmetic Strategies ................................................................................................156

1. Just Do It (Items #1–2) .............................................................................. 156 2. Look for Shortcuts (Items #3–11) ................................................... 156–157 3. Bridge the Gap (Items #12–13) ................................................................157

B. Properties of Numbers (Items #14–19) ...............................................................................158 C. Scientific Notation (Items #20–21) .....................................................................................159 D. Complex Numbers (Items #22–23) ....................................................................................159 E. Matrices and Vectors (Items #24–26) ............................................................................... 160 F. Rates and Proportions (Items #27–34) ..................................................................... 160–161 G. Percentages (Items #35–41) ................................................................................................162 H. Arithmetic Strategy: “Test-the-Test” (Items #42–46) ......................................................163 IV. UNIT 2 | ALGEBRA AND FUNCTIONS................................................................164 A. Manipulating Algebraic Expressions ................................................................................164 1. Basic Algebraic Manipulations (Items #1–2) ....................................... 164 2. Evaluating Expressions (Items #3–7) ................................................... 164 3. Manipulating Expressions Involving Exponents (Items #8–9) ....... 165 4. Factoring Expressions (Items #10–12) .................................................. 165 5. Logarithmic Expressions (Items #13–14) .............................................. 165 1. Simple Equations (Item #19) ....................................................................167 2. Simple Inequalities (Item #20) ................................................................167 3. Equations Involving Rational Expressions (Items #21–23) ..............167 4. Inequalities Involving Rational Expressions (Item #24) ....................167 5. Equations Involving Radical Expressions (Items #25–28) .............. 168 6. Equations Involving Integer and Rational Exponents (Items #29–32) ........................................................................................... 168 B. Evaluating Sequences (Items #15–18) ................................................................................166 C. Solving Algebraic Equations or Inequalities with One Variable ..................................167