## Final Exam Review

## Unit 7: Logarithmic Functions

**Keepers (Notes)**

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Introduction to Sequences and Series

**Answer Keys:**

## Unit 6: Logarithmic Functions

#### Keepers (Notes)

Keeper – 35-36 – Operations of Functions and Inverses

Keeper 37 – Introduction and Graphing Logarithms

Keeper 38 – Properties of Logarithms

Keeper 39 – Solving Logarithmic Equations and Inequalities

Keeper 40 – Applications of Logarithmic Functions

#### Answer Keys:

Logarithms and Inverses Homework Packet

## Unit 5: Exponential Functions

Unit Plan – Exponential Functions

#### Keepers (Notes)

Keeper 34 – Applications of Exponential Functions

Keeper 33 – Solving Exponential Equations and Inequalities

Keeper 31 – Characteristics and Graphing Exponential Functions

#### Answer Keys:

Exponential Unit Homework Packet Answer Key

## Unit 4: Rational Expressions and Functions

Unit Plan – Rational Expressions and Functions

#### Keepers (Notes)

Keeper 23- Multiply and Dividing Rational Expressions

Keeper 24 – Adding And Subtracting Rational Expressions

Keeper 25 – Solving Rational Equations

Keeper 26 – Solving Rational Inequalities

Keeper 27 -Finding Pieces of Rational Functions

Keeper 28 – Graphing Rational Functions

Keeper 29 – Writing Rational Functions

Keeper 30 – Partial Fraction Decomposition

Unit 4 Keepers – Rational Expressions and Functions – Worked Out

#### Answer Keys

## Unit 3: Radical and Rational Exponents

#### Keepers (Notes)

Keeper 18 – Simplifying Radical Expressions

Keeper 18 – simplifying Radical Expressions

Keeper 19 – Operations with Radicals

Keeper 19 – Operations with Radicals

Keeper 20 – Properties of Exponents

Keeper 20 – Properties of Exponents

Keeper 21 – Solving Radical Equations and Inequalities

Keeper 21 – Solving Radical Equations and Inequalities

Keeper 22 – Characteristics of Radical Functions

Keeper 22 – Characteristics of Radical Functions

#### Answer Keys

Unit 3 Homework Packet Answer Keys

Winter Break Review Packet Answer Key

## Unit 2: Polynomials

In this unit students will:

• understand the definition of a polynomial

• interpret the structure and parts of a polynomial expression including terms, factors, and coefficients

• simplify polynomial expressions by performing operations, applying the distributive property, and combining like terms

• use the structure of polynomials to identify ways to rewrite them and write polynomials in equivalent forms to solve problems

• perform arithmetic operations on polynomials and understand how closure applies under addition, subtraction, and multiplication

• divide one polynomial by another using long division

• use Pascal’s Triangle to determine coefficients of binomial expansion

• use polynomial identities to solve problems

• use complex numbers in polynomial identities and equations

• find inverses of simple functions

#### Keepers (Notes)

Keeper 9 – Introduction to Polynomials

Keeper 9 – Introduction to Polynomials

Keeper 11 – Dividing Polynomials

Keeper 11 – Dividing Polynomials

Keeper 12 – Factoring and Solving Polynomials

Keeper 12- Factoring and Solving Polynomials

Keeper 13 – Remainder and Factor Theorems

Keeper 13 – Remainder and Factor Theorems

Keeper 14 – Finding Real Roots of Polynomials

Keeper 14 – Zeros of Polynomial Functions

Keeper 15 – Characteristics of Polynomial Functions

Keeper 15 – Characteristics of Polynomial Graphs

Keeper 16 – Sketching Graphs of Polynomial Functions

Keeper 16 – Sketching Graphs of Polynomial Functions

Keeper 17 – Polynomial Inequalities

Keeper 17 – Polynomial Inequalities

#### Worksheets and Answer Keys

Unit 2 – Polynomials Answer Keys

Unit 2 – Polynomials Homework Packet

**Unit 1: Quadratics Revisited**

In this unit students will:

• Define rational exponents

• Rewrite expression involving radicals and rational exponents

• Define the imaginary number i

• Define complex numbers

• Operate with complex numbers

• Understand that the basic properties of numbers continue to hold with expressions involving exponents.

**Keepers (Notes): **

Keeper 1 – Imaginary & Complex Numbers

Keeper 1 – Imaginary and Complex Numbers

Keeper 2 – Multiplying and Dividing Complex Numbers

Keeper 2 – Multiplying and Dividing Complex Numbers

Keeper 3 – Solving Quadratic Equations – Square Root Method

Keeper 3 – Solving Quadratic Equations Square Root Method

Keeper 4 – Factoring Trinomials

Keeper 4 – Factoring Trinomials

Keeper 5 – Solving Equations by Factoring

Keeper 5- Solving Equations by Factoring

Keeper 6 – Solving Equations by Completing the Square

Keeper 6 – Solving Equations by Completing the Square

Keeper 7 – Solving Equations using the Quadratic Formula

Keeper 7 – Solving Equations Using the Quadratic Formula

Keeper 8 – Quadratic Inequalities

Keeper 8 – Quadratic Inequalities

**Worksheets and Answer Keys:**

Unit 1 – Quadratics Revisited Homework Packet

Unit 1 – Quadratics Revisited Answer Keys

**Welcome to Honors Algebra II!**

Honors Algebra II – Policy Sheet

There are some websites that do a great job with extra practice and/or if you need added reinforcement of concepts. Paul’s Online Notes, and Kahn Academy all offer tutorials for many concepts.

**Helpful websites:**

https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/e/domain_and_range_0.5

https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-radical-function

http://www.mesacc.edu/~scotz47781/mat120/notes/rational/domain/domain_of_rational_practice.html

http://www.beatthegmat.com/critical-points-method-for-inequalities-explained-useful-t110450.html

http://www.sosmath.com/algebra/solve/solve0/solvtrig.html:

https://www.mcckc.edu/tutoring/docs/bt/exp_rad_log/Logarithms_and_Their_Properties.pdf

http://dl.uncw.edu/digilib/mathematics/algebra/mat111hb/eandl/equat