Algebra 2 Regents Exam Preparation

Exam Overview

Exam Format: 3 hours, 37 questions, 4 parts.
- Multiple Choice: 24 questions, 2 points each (48 points total).
- Part 2: 8 short answer questions, 2 points each (16 points total).
- Part 3: 4 multi-part questions, 4 points each (16 points total).
- Part 4: 1 question, 6 points (graphing involved).
Scoring:
- Total raw score: 86 points.
- Scaled score is higher than raw score unless 100% is achieved.
- Levels:
  - Level 5: 66/86 (77%)
  - Level 4: 47/86
  - Passing (Level 3): 20/86 or 30%

Number System:
- Rational vs. Irrational Numbers
- Integers, Whole Numbers, Natural Numbers
Properties of Numbers: Radicals, Rational Exponents, Logs, Exponents
Polynomial Division:
- Long Division with Polynomials
- Factor Theorem and Remainder Theorem
Rational Functions:
- Rationalizing Denominators
Factoring Techniques:
- Greatest Common Factor, Difference of Squares
- Factoring by Grouping
Complex Numbers:
- Imaginary Unit (i), Rationalizing Complex Numbers

Linear Functions:
- Slope, Intercepts, Equation Forms (Slope-Intercept, Point-Slope)
- Systems of Linear Equations (3-variable systems)
Quadratic Functions:
- Standard Form, Axis of Symmetry, Roots
- Quadratic Formula, Discriminant
- Focus and Directrix for Parabolas
Sequences and Series:
- Arithmetic vs. Geometric Sequences
- Sigma Notation for Series

Definition and Characteristics:
- Vertical Line Test, Domain and Range
- One-to-One and Onto Functions
Transformations:
- Horizontal/Vertical Translations and Dilations
- Reflections, Order of Transformations (HDRV)
Trigonometric Functions:
- Sin, Cos, Tan and their Reciprocals
- Unit Circle, Special Triangles
- Graphs and Transformations of Trig Functions

Types of Studies:
- Sample Surveys, Observational Studies, Controlled Experiments
Statistical Measures:
- Mean, Median, Mode, Standard Deviation
- Normal Distribution Curve (68-95-99.7 Rule)
Probability Concepts:
- Complement, Mutually Exclusive, Independent and Dependent Events
- Conditional Probability