Algebra 3 Online Lessons & Videos

Algebra 3 Lesson PDFs

Course Syllabus


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+ Chapter 1 Lessons

1.1 Graphs and Graphing Utilities

1.2 Linear Equations and Rational Equations

1.3 Models and Applications

1.4 Complex Numbers

1.5 Quadratic Equations

1.6 Solving Other Types of Equations

1.7 Linear Inequalities and Absolute Value Inequalities


- Chapter 1 Homework

1.1 Homework:

Pg 97: 1-3
Pg 97: 13, 19, 22, 27 (Only plug in x = -2, 0 & 2)
Pg 98-99: 43-45, 55

Answers

1.2 Homework:

Pg 112: 1, 3, 13, 31, 32, 39
Pg 113: 48

Answers

1.3 Homework:

Pg 126: 22
Pg 127: 26
Pg 128: 44, 57, 60, 64

Answers

1.4 Homework:

Pg 135: 1, 4, 9, 11, 13, 21, 27, 28
Answers

1.5 Homework:

Pg 152: 1, 4, 8, 10, 20, 23, 24, 72 (Don't skip 72)
Answers

1.6 Homework:

Pg 168-169: 1, 3, 11, 14, 17, 32, 38, 67, 70
Answers

1.7 Homework:

Pg 185: 27, 33, 37, 41
Pg 186: 61, 79, 80, 92

Answers

Chapter 1 Review Content:

Review Concepts (With suggested problems)
Review Problems
Solutions


+ Chapter 2 Lessons

2.1 Basics of Functions and Their Graphs

2.2 More on Functions and Their Graphs:

Day 1: Increasing and Decreasing Intervals, Even/Odd Functions
Day 2: Piece-wise Defined Functions

2.3 Linear Functions and Slope

2.4 More on Slope

2.5 Transformations of Functions

2.6 Function Operations and Composition

2.7 Inverse Functions

2.8 Distance and Midpoint Formulas; Circles


- Chapter 2 Homework

2.1 Homework:

Pg 210: 27, 30
Pg 211: 55, 57-59, 62
Pg 212: 77, 80, 81

Answers

2.2 Homework:

Day 1 Homework:
Pg 223: 1, 3
Pg 224, 7, 9, 13, 14, 17, 22, 23

Answers

Day 2 Homework:
Pg 226: 45, 47, 52, 53, 54

Answers

2.3 Homework:

Pg 239-240: 3-5, 15, 30, 39, 45, 59, 61
Answers

Mid Chapter 2 Quiz Review

2.4 Homework:

Pg 250-251: 5, 7, 10, 11, 13, 15, 17
Answers

2.5 Homework:

Pg 266: 55, 60
Pg 267: 74, 75, 86, 90, 101, 104

Answers

2.6 Homework:

Pg 279: 2, 4, 7
Pg 280: 21, 31, 49, 51

Answers

2.7 Homework:

Pg 290-291: 1, 3, 4, 6, 36, 39, 40 (Skip part C on 39 & 40)
Answers

2.8 Homework:

Pg 300: 1, 3, 19, 36, 48, 49
Answers

Chapter 2 Review Content

Review Concepts and Guide
Review Problems
Answers


+ Chapter 3 Lessons

3.1 Quadratic Functions

3.2 Polynomial Functions and Their Graphs

Day 1: Define Smooth, Continuous, Degree, Leading Coefficient, and Polynomial. Determine end behavior.
Day 2: Finding zeros, determining multiplicity and using the Intermediate Value Theorem

Review Lesson: Polynomial Factoring

3.4 Zeros of Polynomial Functions

(We are skipping 3.3 for now)

Day 1: Relating factors to zeros, using the Rational Root Theorem
Day 2: Using the Fundamental Theorem of Algebra, Descartes's Rule of Signs, Using calculators to find zeros

3.5 Rational Functions and Their Graphs

Day 1: Identify Domain, Vertical and Horizontal Asymptotes of a rational function
Day 2: Identify x- and y- intercept(s) and slant asymptotes of rational functions

3.6 Polynomial and Rational Inequalities


- Chapter 3 Homework

3.1 Homework:

Pg 324: 1-4, 9, 10, 13-15, 17, 27
Special Instructions: On 17 & 27 only sketch the graph and state the vertex

Answers

3.2 Homework:

Day 1 Homework:
Pg 338: 1-4, 11-19, 21, 23

Answers

Day 2 Homework:
Pg 338: 25, 26, 28, 33, 36, 39

Answers

Review Lesson Homework:

Polynomial Factoring Worksheet
Answers

3.4 Homework:

Day 1 Homework:
Pg 361: 1, 2, 5
Pg 362: 9, 16, 18 (Only do Part A on these)

Answers

Day 2 Homework:
Pg 362: 34-37, 43, 44 (On 43 & 44 use your calculator to find the zeros)

Answers

3.5 Homework:

Day 1 Homework:
Pg 380: 1, 3, 5, 21, 30, 33, 36

Answers

Day 2 Homework:
Pg 380: 6, 35 Pg 380: 53, 60 (Both by Calculator) Pg 380: 71, 75, 76 (Find x-, y-intercepts andslant asymptote)

Answers

3.6 Homework:

Pg 391: 10, 30, 36, 43, 48, 55
Answers

Chapter 3 Review Content

Review Concepts
Review Problems
Answers


+ Chapter 4 Lessons

4.1 Exponential Functions

4.2 Logarithmic Functions

Day 1: Converting between logarithmic and exponential form, negative and rational exponents
Day 2: Evaluating logarithms by hand, graphing logarithm functions

4.3 Properties of Logarithms

4.4 Exponential and Logarithmic Functions

4.5 Exponential Growth and Decay Models


- Chapter 4 Homework

4.1 Homework:

Pg 420-421: 11, 16, 35-32 (on 25-32 Only state transformations)
Answers

4.2 Homework:

Day 1 Homework:
Pg 434: 1-3, 8, 10, 11, 13, 14, 19-22, 26, 27, 36, 40

Answers

Day 2 Homework:
Pg 435: 53, 55, 57, 65, 69, 71

Answers

4.3 Homework:

Pg 445: 7, 14, 29, 34, 42, 45, 54, 58, 64
Answers

4.4 Homework:

Pg 456-457: 1, 5, 19, 31, 38, 56, 60, 69
Answers

4.5 Homework:

Pg 469: 1, 2, 5-8
Answers

Chapter 4 Review Content

Review Concepts
The problems referenced in the "Review Concepts" are from the individiual HW assignments above. Click the assignments above to see the problems.

Sample Quiz
Sample Quiz Key


+ Chapter 5 Lessons

5.1 Factoring Quadratics:

Day 1: Angles and Radian Measures
Day 2: Definitions of Initial/Terminal side, coterminal & central angles, length of an arc

5.2 Right Triangle Trigonometry

Day 1: Use Trigonometric properties fo solve right triangles
Day 2: Using Trigonometric identities

Extra Lesson - Unit Circle

5.3 Trigonometric Functions for Any Angles

Day 1: Define Trigonometric functions on the coordinate plane
Day 2: Use Reference Angles to Evaluate trig. expressions

5.4 & 5.5 Graphs of Sine and Cosine

Day 1: Refresher over Unit Circle, Graph Sine and Cosine and their transformations
Day 2: Graphing more transformations of trig. functions


- Chapter 5 Homework

5.1 Homework:

Day 1 Homework:
Pg 494-495: 1, 2, 5, 6, 13, 16, 20, 22, 25, 28

Answers

Day 2 Homework:
Pg 495: 57, 58, 63, 64, 71, 72
Also draw 3 complete circles with full radian labels

Answers

5.2 Homework:

Day 1 Homework:
Pg 511: 49-54, 75, 76

Answers

Day 2 Homework:
Pg 510: 21-24 (Also find tan x, csc x, sec x, cot x)

Answers

Unit Circle Lesson Homework:

Worksheet
Answers

5.3 Homework:

Day 1 Homework:
Pg 525: 1, 2, 9, 12, 15 (Use Unit Circle), 17, 18, 35, 41, 57

Answers

Day 2 Homework:
Pg 525: 61-63, 77, 80, 81

Answers

5.4 & 5.5 Homework:

Day 1 Homework:
Pg 554: 10, 12, 14, 38, 40, 42

Answers

Day 2 Homework:
Pg 554: Graph the following problems; 46, 49, 53, 60

Answers

Chapter 5 Review Content:

Review Concepts
Review Problems
Answers


+ Chapter 6 Lessons


- Chapter 6 Homework


+ Chapter 7 Lessons

7.1 The Law of Sines

Day 1: Introduce the Law of Sines and solve SAA and ASA oblique triangles
Day 2: Study the Ambiguous Case and solve triangles with 0, 1 or 2 solutions

7.2 The Law of Cosines

7.6 Vectors


- Chapter 7 Homework

7.1 Homework:

Day 1 Homework:
Pg 672-673: 1-5, 9-13

Answers

Day 2 Homework:
Pg 672: 17, 18, 23, 24, 26, 27, 33, 34, 38

Answers

7.2 Homework:

Pg 681: 1-2, 5-6, 9-10, 22-23
Answers

7.6 Homework:

Pg 729: 1-4
Answers

Chapter 7 Quiz Content:

Suggested Review Problems/Concepts:
7.1: Pg 671-672: 3, 17
7.2: Pg 681: 1, 18
7.6: Show two vectors are equal and add/subtract vectors
Use the homework links above to view the suggested review problems
Answers


+ Chapter 8 Lessons

8.1 Systems of Linear Equations in Two Variables

8.2 Systems of Linear Equations in Three Variables

8.3 Partial Fractions

8.4 Systems of Nonlinear Equations

8.5 Systems of Inequalities


- Chapter 8 Homework

8.1 Homework:

Pg 758-760: 1, 5, 12, 19, 23, 41, 44, 45
Answers

8.2 Homework:

Pg 769: 1, 5-7
Pg 112: 41, 46

Answers

8.3 Homework:

Pg 781-782: 9, 10, 21, 25, 29, 31, 37, 39
Answers
Worked Out Solutions

Mid Chapter 8 Quiz Content:

Quiz Concepts and Recommended Homework Problems

8.4 Homework:

Pg 790-791: 1, 11, 20, 22, 34, 39, 40
Answers

8.5 Homework:

Pg 817: 43, 44, 48, 52, 53
Answers

Chapter 8 Review Content:

Review Concepts
Review Problems
Solutions


+ Semester 1 Final Exam Content

Final Exam Review Concepts


+ Chapter 9 Lessons

9.1 Matrix Solutions to Linear Systems

9.2 Inconsistent & Dependent Solutions


- Chapter 9 Homework

9.1 Homework:

Pg 830: 1, 9, 13, 17, 21, 22, 35
Answers

9.2 Homework:

Pg 840: 1, 3, 7, 17
Answers

9.1 & 9.2 Quiz Content:

9.3 Homework:

9.4 Homework:

9.5 Homework:

Chapter 9 Review Content:


+ Chapter 10 Lessons


- Chapter 10 Homework


+ Chapter 11 Lessons

11.1 Sequences and Summation Notation

11.2 Arithmetic Sequences & Sums

11.3 Geometric Sequences & Sums

11.5 The Binomial Theorem

11.6 Counting Principles, Permutations, and Combinations

11.7 Probability


- Chapter 11 Homework

11.1 Homework:

Pg 976: 1, 10, 13, 17, 19, 21, 23, 35, 30, 33, 39
Answers

11.2 Homework:

Pg 985: 1, 11, 15, 21, 23, 25, 26, 35, 36
Answers

11.3 Homework:

Pg 999: 1, 8, 10, 12, 17, 20, 26, 30, 41
Answers

11.5 Homework:

Pg 1017: 1-3, 7, 9, 11, 20, 28, 32
Answers

11.6 Homework:

Pg 1027: 1, 2, 9, 10, 57, 59, 60, 62
Answers

11.7 Homework:

Pg 1042-1043: 1, 10, 13, 16, 17, 20, 22, 26, 27, 40, 43, 44
Answers


--- Final Exam Review ---

Semester 1 Final

Review Content

The problems shown in the review content are from the individual chapter's review sections