Algebra 2 Online Lessons & Videos

Algebra 2 Lesson and Worksheet PDFs

Course Syllabus

2018-2019 Note: Due to the textbook no longer having page numbers (since it is a digital textbook), I have replaced the page numbers for the homework with the instructions for each problem type. When doing homework, you will need to search for the instructions in your textbook to find the individual problems I assign.


+ Chapter 1: Equations and Inequalities

1.1 Real Numbers

1.2 Simplifying Algebraic Expressions and Equations

1.3 Solving Linear Equations

1.4 Solving Linear Inequalities

1.5 Solving Absolute Value Equations and Inequalities

1.6 Interpreting Word Problems


- Chapter 1 Homework

1.1 Homework:

"Plot the following numbers on a number line." Pg 6 Problem Set: 1, 2, 7, 9-11
"Simplify the following expressions using the Order of Operations." Pg 9 Problem Set: 10-12, 14

1.2 Homework:

"Evaluate the following expressions for the given value." Problem Set 4-6
"Simplify the following expressions as much as possible" Problem Set 1-3, 6, 9, 10
"Solve the following equations or formulas for the indicated variable" Problem Set 7, 8

1.3 Homework:

"Solve each equation below and check your answer." Pg 23 Problem Set: 4, 12
"Solve the following equations and check your answer." Pg 26 Problem Set: 2, 13
"Solve each equation and check your solution." Pg 30 Problem Set: 1, 2, 5, 12

1.4 Homework:

"Solve and graph each inequality" Pg 34 Problem Set: 1, 4
"Solve and graph the following inequalities." Pg 38 Problem Set: 7, 9
"Solve each compound inequality and graph the solution." Pg 41 Problem Set: 7, 11, 13

1.5 Homework:

"Solve the following absolute value equations." Pg 47 Problem Set 4, 7, 11, 14
"Solve and graph the following absolute value inequalities." Pg 50 Problem Set 4, 6, 10, 12

1.6 Homework:

Worksheet PDF
Worksheet Solution Video

Chapter 1 Review Content:

Review Worksheet
Review Answer Key


+ Chapter 2: Linear Equations and Functions

2.1 Finding the Slope & Equation of a Line

2.2 Standard Form of a Line

2.3 Graphing Lines

2.4 Relations & Functions

2.5 Graphing Linear Inequalities of Two Variables

2.6 Graphing Absolute Value Functions


- Chapter 2 Homework

2.1 Homework:

"Find the slope of each line by using slope triangles" Pg 63: 1-4
"Find the slope between each pair of points using the Slope Formula" Pg 64: 7, 8
"Find the equation of each line with the given information below" Pg 68: 1-3, 9, 10

2.2 Homework:

"Find the equation of the lines below, in standard form."Pg 73 Problem Set: 11, 13
"Find the equation of the line, given the information" Problem #1 reads "Passes through (4, 7) and is parallel to x - y = -5" Pg 76 Problem Set: 1, 3, 6
"Find the equation of the line, give the information" Problem #5 reads "Passes thorugh (0, 6) and is perpendicular to x - 4y = 10" Pg 80 Problem Set: 5, 10, 11

2.3 Homework:

"Graph the following lines on the Cartesian Plane." Pg 85: Problem Set 1, 6, 13
"Graph the following lines by changing the equation to slope-intercept form" Pg 88: Problem Set 1, 2, 8, 10

2.4 Homework:

"Determine if the following relations are functions." Problem #1 looks like {(3, 4), (5, 6), ... Pg 93: Problem Set 1, 2, 5, 6, 8-10, 13 "Determine if the following sets of points are functions. If so, state the domain and range." Pg 101: Problem Set 1, 2, 7, 9

2.5 Homework:

"Using the four inequalities below, determine..." - Pg 106: Problem Set 1, 2
"Graph the following inequalities" - Pg 112 Problem Set 1, 2, 5-7

2.6 Homework:

"Use the general form and pattern recognition to graph the following functions." Pg 124-125: Problem Set 5-10

Chapter 2 Review Content:

Review Worksheet
Review Answer Key


+ Chapter 3: Systems of Linear Equations and Inequalities

3.1 Solving Linear Systems by Graphing

3.2 Solving Linear Systems by Substitution

3.3 Solving Linear Systems by Elimination

3.4 Graphing and Solving Linear Inequalities

3.5 Solving Linear Systems in Three Variables


- Chapter 3 Homework

3.1 Homework:

"Solve the following linear systems by graphing. Use graph paper and..." Pg 163: 5-9
"Solve the following linear systems by graphing using technology." Pg 164: 11

3.2 Homework:

"Solve the following systems using substitution. Remember to check your answers." Pg 177-178 Problem Set: 1-4
"Solve the following systems using substitution." Pg 181 Problem Set: 5 (#5 has the first equation of 2x + 7y = 12)

3.3 Homework:

"Solve the following systems using linear combinations." Pg 188 Problem Set: 1, 2, 5
"Solve the systems using linear combinations." (Make sure to look for "Problem Set" problems) Pg 201-202 Problem Set: 3, 4, 6, 12

3.4 Homework:

Pg 220 Guided Practice: 1-4

3.5 Homework:

None, See Review for 3.5 Problems

Additional Homework:

Word Problems Worksheet
Solution Video

Chapter 3 Review Content:

Review Worksheet 1
Answer Key

Review Worksheet 2
Answer Key


+ Chapter 4: Matrices

4.1 Operations of Matrices

4.2 Matrix Multiplication

4.3 Determinants

4.4 Identity and Inverse Matrices

4.5 Solving Linear Systems Using Matrices


- Chapter 4 Homework

4.1 Homework:

"Perform the indicated operation (if possible)" Pg 242: Problem Set 1, 3, 4, 10, 11
"Perform the indicated operations." Pg 246: Problem Set 2, 6

4.2 Homework:

"Multiply the matrices together" (Make sure you are doing the "Problem Set") Pg 250: Problem Set 1, 2, 6, 7, 8, 11

4.3 Homework:

"Find the determinants of the matrices. Use your calculator to check your answers." Pg 264: Problem Set 5-8

4.4 Homework:

"Determine whether the following pairs of matrices are inverses of one another." Pg 274-275: Problem Set 2-7

4.5 Homework:

"Solve the systems of linear equations using matrices." Pg 286 Problem Set: 1-3
"Solve the systems using Matrices and a calulator." Pg 291-292: 10-12

Chapter 4 Project:

The Sandwich Project
2017-2018 Ingredients by Hour

Chapter 3 & 4 Review Content:

Review Worksheet
Review Answer Key


+ Chapter 5: Quadratic Functions

5.1 Factoring Quadratics:

Day 1: FOILing and Basic Factoring
Day 2: Slide and Divide Factoring and Squaring a Binomial
Day 3: Solving Quadratics by Factoring

5.2 Solving Quadratics Using Square Roots

5.3 Complex Numbers:

Day 1: The Complex Unit i and Basic Complex Operations
Day 2: Complex Conjugates and Dividing Complex Numbers
Day 3: Solving Quadratics with Complex Solutions

5.4 Completing the Square:

Day 1: Completing the Square when a = 1
Day 2: Completing the Square then a =/= 1

5.5 The Quadratic Formula

5.6 Graphs of Quadratic Functions:

Day 1: Vertex Form and Transformations
Day 2: Standard Form and Finding the Vertex


- Chapter 5 Homework

5.1 Homework:

Day 1 Homework:
Worksheet
Worksheet Answer Key

Day 2 Homework:
"Factor the following quadratic equations, if possible. If they cannot be factored, write not factorable"
Pg 303 Problem Set: 4-8, 11, 13

Day 3 Homework:
"Solve the following quadratic equations by factoring, if possible."
Pg 311 Problem Set: 1-4, 6, 8

Matching Activity!
Answer Sheet
Cut and Glue Sheet

5.2 Homework:

"Simplify the following radicals. If it cannot be simplified further, write cannot be simplified."
Pg 315-316 Problem Set: 4, 7, 8, 18
"Solve the following quadratic equations. Reduce answers as much as possible. No decimals."
Pg 321 Problem Set: 2, 3, 9, 10

5.3 Homework:

Day 1 Homework:
"Simplify each expression and write in standard form." Pg 325 Problem Set: 1, 2, 7, 13, 14
"Simplify the following expressions. Write your answers in standard form." Pg 329 Problem Set: 2-4

Day 2 Homework:
"Simplify the following expressions. Write your answers in standard form." Pg 329 Problem Set: 9, 10, 12, 13, 14

Day 3 Homework:
"Solve the following quadratic equations" Pg 331: Problem Set 1-7

5.4 Homework:

Day 1 Homework:
Pg 335: Problem Set 1-3
Pg 336: Problem Set 7-10
Written Solutions

Day 2 Homework:
Pg 339: 1-4, 6
Written Solutions

5.5 Homework:

"Solve the following equations using the Quadratic Formula" Pg 344-345: Problem Set 1-3
Written Solutions

5.6 Homework:

Day 1 Homework:
Worksheet
Solutions Video

Day 2 Homework:
Pg 361: Problem Set 1, 2, 4 (Only find the vertex)
Pg 361: Problem Set 5, 6, 9 (Find Vertex & Sketch Graph)

Chapter 5 Review Content:

Review Worksheet
Review Answer Key


+ Chapter 6: Polynomial Functions

6.1 Properties of Exponents

6.2 Basic Polynomial Operations

6.3 Factoring and Solving Polynomials

6.4 & 6.5 Synthetic Division and End Behavior

Extra Chapter 6 Lessons:

Lesson 1: Zeros, Multiplicity, & Graphing
Lesson 2: Solving Polynomial Inequalities
Lesson 3: Rational Root Theorem


- Chapter 6 Homework

6.1 Homework:

"Simplify the following expressions. Answers cannot have negative exponents."
Pg 373 Problem Set: 1, 2, 4, 6, 7, 9

6.2 Homework:

"Add or subtract the following polynomials."
Pg 379 Problem Set: 9, 10, 13 (After doing the problem, state the degree & leading coefficient)
"Find the Product."
Pg 382 Problem Set: 3, 7, 9

6.3 Homework:

6.3 Day 1 Homework:
"Factor each polynomial by using the sum or difference of cubes." Pg 388-389 Problem Set: 1-4, 6, 8

6.3 Day 2 Homework:
"Find the real-number solutions for each equation." Pg 389 Problem Set: 10-12
"Find all the real-number solutions of the polynomial below." Pg 391 Problem Set: 10-12

Mid-Chapter 6 Quiz Review:

Sample Quiz
Sample Quiz Key

6.4 & 6.5 Homework:

"Use synthetic division to divide the following polynomials. Write out the remaining polynomial."
Pg 402: Problem Set 1, 2, 4, 5, 6

Extra Chapter 6 Lessons Homework:

Lesson #1 Worksheet
Answer Key

Lesson #2 Worksheet
Answer Key

Chapter 6 Review Content:

Chapter 6 Review
Answer Key (link will be added later)


+ Chapter 7: Roots, Radicals, and Function Operations

7.4 Day 1: Function Operations & Composition

7.1 Higher Roots & Rational Exponents

7.2 Graphs and Transformations of Square Root Function

7.3 Solving Radical Functions

7.4 Function Operations

Day 1: Function Operations & Composition (taught before 7.1)
Day 2: Function Inverses


- Chapter 7 Homework

7.4 Day 1 Homework:

Worksheet
Answer Key

7.1 Homework:

Pg 433 Problem Set 1-9
(On #s 4-6 you do not have to evaluate, just convert)

7.2 Homework:

Pg 443: 2, 3, 9, 10 (On 9 & 10 only state transformations, Do not graph)
Pg 448: 3, 4, 6, 11 (On 6 & 11 only state transformations, Do not graph)

7.3 Homework:

Pg 459: 3, 7, 8
Pg 462: 1, 2
Pg 464: 1, 3

7.4 Day 2 Homework:

Pg 476 Problem Set: 1-3, 5, 6, 9, 11

Chapter 7 Review Content:

Chapter 7 Review Worksheet
Answer Key


+ Chapter 8: Exponential and Logarithmic Functions

8.1 Exponential Growth & Decay

Day 1: Define and Graph Exponential Functions
Day 2: Exponential Graphs and Interest Formulas

8.2 Logarithm Functions

Day 1: Defining, Converting and Evaluating Logarithms
Day 2: Graphing and Stating Transformations of Logarithms

8.3 Properties of Logarithms

8.4 Solving Exponential and Logarithmic Equations


- Chapter 8 Homework

8.1 Homework:

8.1 Day 1 Homework:
Exponential Functions & Transformations Worksheet
Answer Key

8.1 Day 2 Homework:
Exponential Graphs and Interest Rates Worksheet
Answer Key

8.2 Homework:

8.2 Day 1 Homework:
Converting and Evaluating Logs Worksheet
Answer Key

8.2 Day 2 Homework:
Evaluating Logs and Log Transformations Worksheet
Answer Key

8.2 Day 3 Homework:
Graphing Logarithmic Functions Worksheet
Answer Key

8.3 Homework:

Pg 514-515 Problem Set: 1-3, 7, 8 10

8.4 Homework:

Solving Exponential & Logarithmic Functions Worksheet
Answer Key

Chapter 8 Review Content:

Chapter 8 Review Worksheet
Answer Key


+ Chapter 9: Rational Functions

9.1 Direct Variation

Review Lesson

9.2 Graphing Rational Functions

Day 1: Identify x/y-intercept(s) and Vertical Asymptote(s)
Day 2: Identify Horizontal Asymptotes and Graph Rational Functions

9.3 Simplifying, Multiplying, and Dividing Rational Expressions

Day 1: Simplifying Rational Expressions
Day 2: Multiplying Two Rational Terms

9.4 Adding and Subtracting Rational Expressions

Day 1: Add/Subtract Rationals with Similar and Common Denominators
Day 2: Add/Subtract Rationals by Finding Common Denominators

9.5 Solving Rational Equations


- Chapter 9 Homework

9.1 Homework:

Pg 525 Problem Set: 1, 2, 4, 5

9.2 Homework:

Day 1 Homework:
Pg 547 Problem Set 1, 2, 4-7
Special Instructions: Only find the x/y-intercept(s) and vertical asymptote(s)

Day 2 Homework:
Pg 544: 1, 4
Pg 550: 4
Pg 552: 2, 8
Special Instructions: Find the x/y-intercept(s), Vertical and Horizontal Asymptote(s), then graph. Ignore any instructions from the book.

9.3 Homework:

Day 1 Homework:
Pg 553 Guided Practice: 1, 2, 4
Pg 553 Problem Set: 2
Pg 556 Problem Set: 1, 3

Day 2 Homework:
Pg 556 Problem Set: 4-6
Pg 558 Problem Set: 1, 4, 5

9.4 Homework:

Day 1 Homework:
Worksheet

Answers

Day 2 Homework:
Pg 563 Problem Set: 2, 3, 9
Pg 567 Problem Set: 4-6

9.5 Homework:

Pg 573 Problem Set: 1, 2
Pg 576 Problem Set: 1, 4, 6

Chapter 9 Review Content:

Review Worksheet #1
Answer Key (PDF)
Review Worksheet #2
Answer Key (PDF)

Review Videos
Worksheet #1
Worksheet #2


+ Chapter 10: Conic Sections

10.1 Distance, Midpoint, and Parabolas

10.2 Circles

10.3 Ellipses

10.4 Hyperbolas


- Chapter 10 Homework

10.1 & 10.2 Homework:

Worksheet
Answer Key (PDF)

10.3 & 10.4 Homework:

Worksheet
Answer Key (PDF)

Chapter 10 Review Content:

Chapter 10 Review Worksheet
Answer Key


+ Chapter 11: Sequences and Series

11.1 General Sequences

Day 1: Sequences, Series, General and Recursive Rules
Day 2: Writing General and Recursive Rules, Evaluating Sums in Summation Notation

11.2 Arithmetic Sequences

11.3 Geometric Sequences

11.4 Infinite Series


- Chapter 11 Homework

11.1 Homework:

Day 1 Homework:
Pg 643: 1-3
Pg 646: Problem Set 1-3
Pg 647: 6

Day 2 Homework:
Pg 644: 2-4
Pg 647: 11, 14
Pg 649-650: Problem Set 2, 4, 5

11.2 Homework:

Pg 653-654: Problem Set 1-4, 7, 8
Pg 660: Problem Set 5-7

11.3 Homework:

Pg 664: Problem Set 1-3, 7, 8, 11, 13
Pg 667: Problem Set 1, 2

11.4 Homework:

Pg 676-677: 1-12
Special Instructions: Only state whether the series will converge or diverge. Then evaluate the sums of the first 4 problems you run into that Converge


+ Chapter 12: Introduction to Probability

12.1 & 12.2 Fundamental Counting Princibple, Permutations & Combinations


- Chapter 12 Homework

12.1 & 12.2 Homework:

Worksheet PDF
Answer Key



--- Final Exam Review ---

Semester 1 Final