Honors Algebra 2

List of Topics for Final Exam

Unit D: Quadratic Functions

  • Completing the Square (Lesson 5-4)
  • The Quadratic Formula (Lesson 5-5)
  • Quadratic Equations with Complex Numbers (Lesson 5-6)
  • Solving Quadratic Inequalities (Lesson 5-8)

Unit E: Polynomial Functions

  • An Introduction to Polynomials (Lesson 7-1)
  • Polynomial Functions and Their Graphs (Lesson 7-2)
  • Products and Factors of Polynomials (Lesson 7-3)
  • Solving Polynomial Equations (Lesson 7-4)
  • Zeros of Polynomial Functions (Lesson 7-5)

Unit F: Rational Functions

  • Inverse, Joint, and Combined Variation (Lesson 8-1)
  • Rational Functions and Their Graphs (Lesson 8-2)
  • Multiplying and Dividing Rational Expressions (Lesson 8-3)
  • Adding and Subtracting Rational Expressions (Lesson 8-4)
  • Solving Rational Equations and Inequalities (Lesson 8-5)

Unit G: Radical Functions

  • Radical Expressions and Radical Functions (Lesson 8-6)
  • Simplifying Radical Expressions (Lesson 8-7)
  • Solving Radical Equations and Inequalities (Lesson 8-8)

Unit H: Exponential and Logarithmic Functions

  • Exponential Growth and Decay (Lesson 6-1)
  • Exponential Functions (Lesson 6-2)
  • Logarithmic Functions (Lesson 6-3)
  • Properties of Logarithmic Functions (Lesson 6-4)
  • Applications of Common Logarithms (Lesson 6-5)
  • The Natural Base, e (Lesson 6-6)
  • Solving Equations and Modeling (Lesson 6-7)

Unit I: Data Analysis

  • Introduction to Probability (lesson 10-1)
  • Permutations (lesson 10-2)

Unit I: Data Analysis - continued

  • Combinations (lesson 10-3)
  • Independent Events (lesson 10-5)
  • Dependent Events and Conditional Probability (lesson 10-6)
  • Sequence and Series (lesson 11-1)
  • Arithmetic Sequences (lesson 11-2)
  • Arithmetic Series (lesson 11-3)
  • Geometric Sequence (lesson 11-4)

The following topics were on the mid-term exam. They were expanded on within the units above so they can also be part of the final exam.

Unit A: Equations and Inequalities

  • Slopes and Intercepts (Lesson 1-2)
  • Linear Equations in Two Variables (Lesson 1-3)
  • Direct Variation and Proportions (Lesson 1-4)
  • Introduction to Solving Equations (Lesson 1-6)
  • Introduction to Solving Inequalities (Lesson 1-7)
  • Solving Systems by Graphing or Substitution (Lesson 3-1)
  • Solving Systems by Elimination (Lesson 3-2)
  • Linear Inequalities in Two variables (Lesson 3-3)
  • Systems of Linear Inequalities (Lesson 3-4)
  • Parametric Equations (Lesson 3-6)

Unit B: Functions

  • Operations with Numbers (lesson 2-1)
  • Properties of Exponents (Lesson 2-2)
  • Introduction to Functions (Lesson 2-3)
  • Operations with Functions (Lesson 2-4)
  • Inverses of Functions (Lesson 2-5)

Unit C: Special Functions (Piece-wise Functions and Absolute-Value Functions

  • Special Functions (Lesson 2-6)
  • A Preview of Transformations (Lesson 2-7)
  • Solving Absolute-Value Equations and Inequalities (Lesson 1-8)

Unit D: Quadratic Functions

  • Introduction to Quadratic Functions (Lesson 5-1)
  • Introduction to Solving Quadratic Equations (Lesson 5-2)
  • Factoring Quadratic Expressions (Lesson 5-3)