Algebra 2 Final Exam Review
This Review Guide This guide is to help you review the skills learned in Algebra 2. Going through this will allow you to refresh what you have learned throughout this course. It is not a comprehensive lists of all the material that you have learned but will hit the key skills required to PASS the final exam. The questions in this document will not be the exact style or wording of all of the questions on the exam. Do not expect to have seen ALL of the different types of questions that could come up on the exam. Trust that your understanding of the methods and processes learned in the course will aid you in solving any type of question. You will still be required to think and apply the things you have learned in new and different ways to prove that you have mastered the required material for this course.
Outline Topics Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6
Unit 1 ❏ Review Linear Equations ❏ The 3 forms of a linear equation ❏ Solving Absolute Value Equations ❏ Absolute Value Inequalities ❏ Solving a System of Equations in 3 Variables (Ch1.4) Outline Topics
Unit 2 ❏ Transformations of Quadratic Graphs using Vertex Form (2.1) ❏ Characteristics of Quadratic Fns (2.2) ❏ Complex Numbers (define "i", powers of "i", add/subt/multiply complex #'s) (3.2) ❏ Factoring Quadratics ❏ Solving Quadratic Equations by Factoring (3.1) ❏ The Quadratic Formula ❏ Word Problems involving Quadratic Functions ❏ Completing the Square (3.3) ❏ Linear Inequalities ❏ Quadratic Inequalities ❏ Solving Quadratic Inequalities in One-Variable ❏ Solving Nonlinear Systems of Equations (3.5) Outline Topics
Unit 3 ❏ Graphing Polynomial Functions (4.1) ❏ Transformations of Polynomial Functions (4.7) ❏ Add, Subtract, and Multiply Polynomials (incl. Special Products AND using Pascal's Triangle for binomial expansion) (4.2) ❏ Long Division of Polynomials (4.3A) ❏ Synthetic Division of Polynomials (4.3B) ❏ Factoring Polynomials (4.4) and Solving Polynomial Equations (4.5A) ❏ The Factor Theorem (4.5) ❏ Rational Root Theorem (4.5) ❏ Irrational Conjugates Thm (4.6) ❏ Complex Conjugates Theorem (4.6) ❏ Fundamental Theorem of Algebra (4.6) Outline Topics
Unit 4 ❏ Rational Exponents (5.1) ❏ Radical Functions (graphs, transformations, etc) (5.3) ❏ Rational Functions (7.2) ❏ Simplify Radical Expressions (5.2) ❏ Operations with Functions (5.5) ❏ Solving Radical Equations (5.4) ❏ Composition of Functions (5.6) ❏ Inverse Functions (5.7) ❏ Multiply & Divide Rational Expressions (7.3) ❏ Add & Subtract Rational Expressions (7.4) ❏ Solve Rational Equations (7.5) Outline Topics
Unit 5 ❏ Exponential Growth and Decay Functions (6.1) ❏ Exponential Models (ch6.1, part 2) ❏ Logarithms and Logarithmic Functions (ch6.3) ❏ The natural base, e (incl. continuous compounding...Pert) (6.2) ❏ Transformations of Exponential and Logarithmic Functions (Ch6.4) ❏ Properties of Logarithms (Ch6.5) ❏ Solve Exponential and Logarithmic Equations (Ch6.6) Outline Topics
Unit 6 ❏ Similar Triangles and the Trig Ratios (intro to SohCahToa) (9.4 & 9.5) ❏ Solving Right Triangles (9.6) ❏ Special Right Triangles (30-60-90 and 45-45-90) (9.2) ❏ Angles of Elevation (9.4) and Depression (9.5) ❏ More Word Problems and Right Triangle Trig Outline Topics
Review Linear Equations Outline Topics Unit 1
3 forms of a linear equation Outline Topics Unit 1
Solving Absolute Value Equations Outline Topics Practice Unit 1
Outline Topics Practice Unit 1 Solving Absolute Value Equations
Outline Topics Practice Unit 1 Solving Abs. Val. Equations
Absolute Value Inequalities Outline Topics Unit 1
Solving a System of Equations in 3 Variables (Ch1.4) Outline Topics Unit 1 Practice
Outline Topics Practice Unit 1
Outline Topics Practice Unit 1
Outline Topics Unit 1
Transformations of Quadratic Graphs using Vertex Form (2.1) Outline Topics Unit 2 Example Problems
More Outline Topics
Outline Topics
Characteristics of Quadratic Fns (2.2) Outline Topics Unit 2 Part 2
Characteristics of Quadratic Fns Part 2 Part 3 Outline Topics Unit 2
Part 4 Outline Topics Unit 2
Outline Topics Unit 2 Practice
Outline Topics Unit 2 Practice 2
Outline Topics Unit 2 Practice 3
Outline Topics Unit 2
Complex Numbers (3.2) Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Factoring Quadratics Outline Topics More Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2 Solving Quadratic Equations by Factoring
Outline Topics Unit 2
The Quadratic Formula Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Outline Topics Practice Unit 2
Word Problems involving Quadratic Functions Outline Topics Unit 2 Word problem are throughout this unit. Going through each will allow you to understand the structure and methods used to solve them. :D
Completing the Square (3.3) Outline Topics Practice Unit 2