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Introduction to Algebra

Sets of Numbers/Properties of Real Numbers

Identifying Sets of Real Numbers

Determine Rational or Irrational Numbers (Square Roots and Decimals Only)

Determine Rational or Irrational Numbers (Square Roots and Decimals Only)

Real Number Basics

Properties of Real Numbers

Identify the Commutative, Associate, and Distributive Properties of Real Numbers

Use the Commutative and Associate Properties of Real Numbers

Identify Addition Properties of Real Numbers

Identify Multiplication Properties of Real Numbers

Properties of Real Numbers: Mixed Review

Review Properties of Real Numbers While Simplifying Expressions

ID Real Number Properties: Distributive and Associative

ID Real Number Properties: Distributive and Commutative

Review Properties of Real Numbers While Simplifying Expressions

Integer Operations

Adding Integers

Subtracting Integers

Multiply and Divide Integers

Exponents

Exponential Notation

Properties of Exponents

A Discussion: Zero to the Power of Zero - 0^0

The Zero Exponent

Ex: Zero Exponent Property

Ex: Write Repeated Multiplication Using Exponents

Ex: Expanding and Evaluating Exponential Notation

Ex: Simplify Exponential Expressions - Product and Power Rule

Ex: Simplify Exponential Expressions - Quotient Rule

Ex 1: Simplify Exponential Expressions - Positive Exponents Only

Ex 2: Simplify Exponential Expressions - Positive Exponents Only

Ex 3: Simplify Exponential Expressions - Positive Exponents Only

Ex: Raising Fractions to Powers

Ex: Quotient Rule of Exponents (Positive and Negative)

Ex: Simplify Quotients with Different Bases and Negative Exponents

Ex: Quotient and Negative Exponent Properties

Evaluate and Create Equivalent Exponential Expressions

Order of Operations and Expressions

Order of Operations – The Basics

Order of Operations

Order of Operations With Integers: a(b-(-c))+d

Order of Operations With Integers: a+b(c-d((e^2)+f))

Introduction to the Distributive Property

Introduction to The Distributive Property (Basic Examples)

The Distributive Property in the Form a(x+b)

The Distributive Property in the Form a(bx+c)

The Distributive Property with Fractions in the Form a/b(x+c)

The Distributive Property with Negative Integers

Using the Distributive Property to Multiply

Simplifying Algebraic Expressions

Ex: Simplify Polynomial Expressions - Add/Subtract/Multiply

Evaluating Algebraic Expressions

Ex: Evaluate Exponential Expressions

Ex: Evaluate Exponential Expression

Ex 1: Evaluate An Expression Using The Order of Operations

Ex 2: Evaluate An Expression Using The Order of Operation

Ex 3: Evaluate An Expression Using The Order of Operation

Ex: Write Repeated Multiplication Using Exponents

Ex: Expanding and Evaluating Exponential Notation

Ex: Simplify Exponential Expressions - Product and Power Rule

Ex: Simplify Exponential Expressions - Quotient Rule

Ex 1: Simplify Exponential Expressions - Positive Exponents Only

Ex 2: Simplify Exponential Expressions - Positive Exponents Only

Ex 3: Simplify Exponential Expressions - Positive Exponents Only

Introduction to Variables and Variable Expressions

Writing Algebraic Expressions (L1.1)

Writing Algebraic Expressions

Translating Statements to Algebraic Expressions (Applications)

Translating Statements to Algebraic Expressions (Key Words)

Application: Evaluate a Numerical Expression and Find a Variable Expression (x + a)

Application: Evaluate a Numerical Expression and Find a Variable Expression (a/b)x

Application: Evaluate a Numerical Expression and Find a Variable Expression ax+b

Application: Evaluate a Numerical Expression and Find a Variable Expression a+bx

Ex: Write a Numerical Expression in the Form a-b and a(b+c)

Ex: Write a Numerical Expression in the Form a+b-c and a-b+c

Ex: Write a Numerical Expression in the Form ab-c and a/b+c

Ex: Write a Numerical Expression in the Form 2a and 3a

Ex: Write a Algebraic Expression in the Form x+c and c-x (less and more)

Ex: Write a Algebraic Expression in the Form x-c and c-x (subtracted)

Ex: Write a Algebraic Expression in the Form x-c and c-x (decreased)

Ex: Write a Algebraic Expression in the Form x^2+cx and (x^3+c)/x

Ex: Write a Algebraic Expression in the Form (x+c)(x) and (x-a)(x-b)

Ex: Write a Algebraic Expression in the Form x^2/a+b and (x+a)^3

Ex: Write a Algebraic Expression in the Form (x+a)+(x-b) and ax(bx+c)

Ex: Write an Expressions for Complementary Angles and Supplementary Angles (Basic)

Ex: Write Expressions and Determine the Measure of Complementary Angles

Ex: Write Expressions and Determine the Measure of Supplementary Angles

Write Basic Expressions from Words Modeling Situations

Write Algebraic Expressions from Statements: Form ax+b and a(x+b)

Ex 1: Writing Variable Expressions

Ex 2: Write Algebraic Expressions

Ex 1: Writing Basic Algebraic Expressions

Ex 2: Writing Basic Algebraic Expressions

Write Algebraic Expressions from Statements: Form ax+b and a(x+b)

Determine Equivalent Variable Expressions Using the Distributive Property

Write Basic Expressions from Words Modeling Situations

Writing Algebraic Expressions Involving Percents of An Amount

Evaluate a Given Variable Expression - Total Cost Application (ax+b)

Evaluate a Given Variable Expression - Debt Application (ax+b)

Write and Evaluate a Variable Expression for Total Cost (ax+b)

Write and Simplify a Variable Expression for Age (ax+b)

Write and Simplify a Variable Expression for a Gift Set (ax+by)

Evaluate Basic Variable Expressions and Write an Associated Equation

Evaluate Variable Expressions with Fractions and Write an Associated Equation

Write and Evaluate a Variable Expression for Cost of Pizzas (ax+b)

Describing the Operations of An Expression - The Story of x (L1.2)

Ex: Substitute and Evaluate Basic Expressions x+2, 2x, x^2, 2^x

Ex: Substitute and Evaluate Expressions x^2+3, (x+3)^2, x^2+2x+3

Combining Like Terms

Simplify and Identify Like Terms 1

Simplify and Identify Like Terms 2

Simplify Algebraic Expressions (Basic)

Simplify and Evaluate Algebraic Expressions 1

Simplify and Evaluate Algebraic Expressions 2

Simplifying Algebraic Expressions

Simplify Variable Expressions with Decimals Using Distribution

Simplify Variable Expressions with Fractions Using Distribution

Evaluating Algebraic Expressions

Ex: Simplify Variable Expression with Exponents - Quotient with One Variable

Ex: Simplify Variable Expression with Exponents - Power to Fractional Power

Ex: Simplify Variable Expression with Exponents - Power to Power with Two Variables

Ex 1: Simplify Variable Expression with Exponents - Quotient with Two Variables

Ex 2: Simplify Variable Expression with Exponents - Quotient with Two Variables

The Distributive Property and Combine Like Terms

Introduction to the Distributive Property

The Distributive Property (L2.4)

Write Algebraic Expressions for Applications (L2.5)

Ex 1: The Distributive Property

Ex 2: The Distributive Property

Using the Distributive Property to Multiply

Like Terms (L2.3)

Combining Like Terms

Simplify Expressions by Combining Like Terms (No Negatives)

Ex 1: Combining Like Terms

Ex 2: Combining Like Terms

Ex 3: Combining Like Terms Requiring Distribution

Simplifying Algebraic Expressions (L2.5)

Simplifying Algebraic Expressions

Ex: Simplify Variable Expressions by Multiplying

Evaluating Algebraic Expressions

Evaluating Algebraic Expression (L1.3)

Ex: Evaluate an Expression in the Form (a-b)/(cd)

Ex: Evaluate an Expression in the Form (a+b)/(cd)

Ex 1: Evaluate an Expression in the Form (a+b)/(c-d)

Ex 2: Evaluate an Expression in the Form (a+b)/(c-d)

Ex 1: Evaluate an Expression in the Form (a^2+b^2)/(a+b)

Ex 2: Evaluate an Expression in the Form (a^2+b^2)/(a+b)

Ex: Evaluate an Expression in the Form 3x^2y

Ex: Evaluate an Expression in the Form -7x^2-4y^2-8xy+7

Ex: Evaluate an Expression in the Form 6x^2y^2+3xy+4y+5x-8

Circumference, Volume of a Cone, Pythagorean Theorem (L1.5)

Linear Equations in One Variable

Introduction to Linear Equations in One Variable (Common Core Using Construct/Deconstruct Method)

Understanding Expressions and Equations

Translate Basic Expressions and Equations to Words

Construction of Equations Using the Story of the Variable (x) - Two Steps

Construction of Equations Using the Story of the Variable (x) - Multi Steps I

Construction of Equations Using the Story of the Variable (x) - Multi Steps II

Solve An Equation Using Deconstruct Story I (Two Step)

Solve An Equation Using Deconstruct Story I (Three Step)

Solve An Equation Using Deconstruct Story II (Three Step)

Solve An Equation Using Deconstruct Story III (Three Step)

Solve An Equation Using Deconstruct Story I (Four Step)

Solve An Equation Using Deconstruct Story II (Four Step)

Solve an Equation: Deconstruct Method and Traditional Method I

Solve an Equation: Deconstruct Method and Traditional Method II

Introduction to Linear Equations in One Variable

Types of Linear Equations: Conditional, Identity, and Contradiction

The Difference Between an Expression and an Equation

Introduction to Algebraic Equations (L5.1)

Ex: Check to See if a Given Value is a Solution to a Linear Equation in One Variable

Applications of Equations - Heart Rate, Simple Interest, Population Growth (L1.4)

Solve a Ticket Value Problem Using an Equation in One Variable

Solving One-Step Equations with Integers

Solving One-Step Equations (L5.2)

Solving One Step Equations: The Basics

Ex: Solve One Step Equations By Adding and Subtracting Whole Numbers (Var. on Left)

Ex: Solve One Step Equations By Multiplying and Dividing Whole Numbers (Var. on Left)

Ex: Solve One Step Equations By Adding and Subtracting Whole Numbers (Var on Right)

Ex: Solve One Step Equations By Multiplying and Dividing Whole Numbers(Var on Right)

Ex: Solving One Step Equation by Add/Subtracting Integers (Var on Left)

Ex: Solving One Step Equation by Add/Subtracting Integers (Var on Right)

Solve One-Step Equations Using Addition and Subtraction (Whole Numbers)

Solving One Step Equations Using Addition and Subtraction (Integers)

Solving One Step Equations Using Multiplication and Division (Basic)

Ex: Solving One Step Equation by Mult/Div. Integers (Var on Left)

Ex: Solving One Step Equation by Mult/Div. Integers (Var on Right)

Ex: Solving One Step Equation in the Form: -x = a

Solve the One-Step Linear Equations -x=-2 and 4=-y

Ex: Solve One Step Linear Equations in One Variable (Mixed Review)

Ex: Solve One Step Equation by Add/Subtract (Simplify 1st)

Ex: Solve One Step Equation by Mult/Div (Simplify 1st)

One Step Linear Equation in One Variable App: Sticker Price

Ex: Solve a Linear Equation in One Variable that Requires Simplifying

Solving Equations Using the Story of x (Part 1)

Solving Equations Using the Story of x (Part 2)

Solving One-Step Equations with Fractions and Decimal

Solving One Step Equations Involving Fractions

Solving One Step Equations Using Addition and Subtraction (Decimals)

Solving One Step Equations Using Addition and Subtraction (Fractions)

Ex: Solve One Step Equations With Fraction by Adding or Subtracting

Ex: Solve a One Step Equation by Adding or Subtracting a Fraction (x+a/b = c/d Neg Answer)

Ex: Solve a One Step Equation by Adding or Subtracting a Fraction (x+a/b = c/d Pos Answer)

Solving One Step Equations Using Multiplication (Fractions)

Ex: Solve One Step Equations With Fraction by Multiplying

Ex: Solve a One Step Equation by Multiplying by Reciprocal (a/b)x=c/d

Ex: Solve a One Step Equation by Multiplying by Reciprocal ax=c/d

Ex: Solve a One Step Equation by Multiplying by Reciprocal (a/b)x=-c

Ex: Solve a One Step Equation by Multiplying by Reciprocal (a/b)x=-c/d

Solving One Step Equations Involving Decimals

Ex: Solve a One Step Equation With Decimals by Adding and Subtracting

Ex: Solve a One Step Equation With Decimals (Add/Subtract)

Ex 1: Solve a One Step Equation With Decimals (Add/Subtract - Signed Decimals)

Ex 2: Solve a One Step Equation With Decimals (Add/Subtract - Signed Decimals)

Ex: Solve a One Step Equation With Decimals by Multiplying

Ex: Solve a One Step Equation With Decimals by Dividing

Ex: Solve a One Step Equation With Decimals (Divide)

Ex 1: Solve a One Step Equation With Decimals (Divide - Signed Decimals)

Ex 2: Solve a One Step Equation With Decimals (Divide - Signed Decimals)

Solving One Step Equations: Summary

Solve Linear Equations in One Variable with Simplifying (One-Step Add/Subtract)

Solve Linear Equations in One Variable with Simplifying (One-Step Mult/Div)

Solving Two-Step Equations

Solving Equations Using the Story of x (Part 1)

Solving Equations Using the Story of x (Part 2)

Solving Two-Step Equations (L5.3)

Solving Two Step Equations: The Basics

Solving Two Step Equations (Basic)

Ex 1: Solving Two-Step Equations Using Integers

Ex 2: Solving Two-Step Equations Using Integers

Ex: Solve a Two Step Equation ax-b=c (Fraction Answer)

Ex: Solve a Two Step Equation -ax+b=-c (Fraction Answer)

Ex: Solve To Two Step Linear Equations in One Variable (Mixed Review)

Solving Two Step Equations Involving Fractions

Ex: Solve a Two-Step Equation with a Fraction

Ex: Solve an Equation with Fractions

Ex 1: Solve Equations with Fractions (Alternative Method)

Ex 2: Solve Equations with Fractions (Alternative Method)

Ex 1: Solving a Two Step Equation with Fractions - NOT Clearing the Fractions

Ex 2: Solving a Two Step Equation with Fractions - NOT Clearing the Fractions

Ex 3: Solving a Two Step Equation with Fractions - NOT Clearing the Fractions

Ex 4: Solving a Two Step Equation with Fractions - NOT Clearing the Fractions

Ex 5: Solving a Two Step Equation with Fractions - NOT Clearing the Fractions

Solve a Basic Two Step Equation with Fractions (Clear Fractions) a/bx+c/d=e/f

Solve an Equation with Fractions and Variables on Both Sides (Clear Fractions)

Ex: Solve a Two Step Equation with Decimals ax+b=c

Ex: Solve a Two Step Equation with Decimals a+bx=c (Pos Ans)

Ex: Solve a Two Step Equation with Decimals -a+bx=-c

Ex: Solve a Basic Two Step Equation With Decimals (Clear Decimals)

Ex: Solve an Equation With Decimals and Variables on Both Sides (Clear Decimals)

Ex: Solve a Two Step Equation With Decimals (Clear Decimals)

Ex: Solve a Two Step Equation With Decimals (Keep Decimals)

Ex 1: Solving a Two Step Equation with Fractions - Clearing the Fractions

Ex 2: Solving a Two Step Equation with Fractions - Clearing the Fractions

Ex 3: Solving a Two Step Equation with Fractions - Clearing the Fractions

Ex 4: Solving a Two Step Equation with Fractions - Clearing the Fractions

Ex 5: Solving a Two Step Equation with Fractions - Clearing the Fractions

Solving Two Step Equations Involving Decimals

Ex: Solve a Two-Step Equation with Decimals

Solving Two Step Equations: Summary

Solve a Linear Equation in One Variable (Traditional) 15-3x=36

Solving Multi-Step Equations

Determine the Construction of An Equation (3 Steps)

Determine the Construction of An Equation (4 Steps) Ex 1

Determine the Construction of An Equation (4 Steps) Ex 2

Determine the Value of an Expression Using a Given Equation

Determine the Value of an Expression Using a Given Equation (Advanced)

Solving Multi-Step Equations (L5.4)

Solve Linear Equations in One Variable with Simplifying (One-Step Add/Subtract)

Solve Linear Equations in One Variable with Simplifying (One-Step Mult/Div)

Solving Multiple Step Equations

Solve Basic Linear Equations that Require Simplifying x/a = -c + d

Solve a Linear Equation with Parentheses 3(2x-5)=-30

Solve a Linear Equation with Parentheses -4(3x-2)=42

Solve Linear Equation with Fractions Two Ways y/5+y/2=3/4

Solve a Linear Equation in One Variable with Variables on Both Sides: 2m-9=6m-17

Solve a Linear Equation in One Variable with Variables on Both Sides: 2x+8=-2x-24

Solve a Linear Equation with Parentheses -2(x-8)+14=75-21

Solve a Linear Equation with One Fraction 2/3x-3=12

Solving an Equation in One Variable with Fractions (Keep Fractions 1

Solving an Equation in One Variable with Fractions (Keep Fractions 2

Solve a Linear Equation with One Fraction 4/5x+2=-6

Solve a Linear Equation with Fractions 3/4x-1/6=1/2

Solve a Linear Equation in One Variable (Traditional) 2/3+4/5x=3/2

Solve Linear Equation with Fractions Two Ways y/5+y/2=3/4

Solve a Linear Equation in One Variable (Traditional) 12+7n=3n-27

Solve a Linear Equation in One Variable (Traditional) 4(a+3)+7=a+12

Solve a Linear Equation in One Variable (Traditional) -w-2(w+4)=6w-5-w

Solve a Linear Equation in One Variable (Traditional) -3(y+6)-y=1/2+2y

Solving an Equation that Requires Combining Like Terms

Solve an Equation with Variable on Both Sides

Solve a Linear Equation in One Variable with Variables on Both Sides: 2m-9=6m-17

Solve a Linear Equation in One Variable with Variables on Both Sides: 2x+8=-2x-24

Solve a Linear Equation with Parentheses and a Fraction 2/3(9x-12)=8+2x

Solve a Linear Equation with Parentheses and Fractions 4/5(2x+3)=5/2x-3

Solving an Equation in One Variable with Decimals (Keep Decimals) 1

Solving an Equation in One Variable with Decimals (Keep Decimals) 2

Solve a Linear Equation with Parentheses and Decimals 0.35(x-0.6)=0.2(x+1.2)

Solving an Equation with One Set of Parentheses

Solving an Equation with Parentheses on Both Sides

Ex 1: Solve an Equation with Parentheses

Ex 2: Solve an Equation with Parentheses

Ex: Solve an Equation with Variable Terms on Both Sides

Ex 1: Solve an Equation with Variables and Parentheses on Both Sides

Ex 2: Solve an Equation with Variables and Parentheses on Both Sides

Ex : Solving a Multi-Step Linear Equation in One Variable

Ex: Solving a Multi-Step Linear Equation in One Variable

Ex1A : Solve To Multi-Step Linear Equations in One Variable

Ex1B : Solve To Multi-Step Linear Equations in One Variable

Ex2A : Solve To Multi-Step Linear Equations in One Variable

Ex2B : Solve To Multi-Step Linear Equations in One Variable

Ex 1: Solve an Equation with Fractions with Variable Terms on Both Sides

Ex 2: Solve an Equation with Fractions with Variable Terms on Both Sides

Ex: Solve a Linear Equation in One Variable that Requires Simplifying

Solving Multiple Step Equations Involving Decimals

Ex: Solve a Linear Equation With Decimals and Variables on Both Sides

Solve a Linear Equation with Decimals and Parentheses 0.15(x+10)-0.08(x-50)=2 (No Clearing)

Solve a Linear Equation with Decimals and Parentheses 0.15(x+10)-0.08(x-50)=3 (Clear Decimals)

Ex: Solve an Equation with Decimals and Parentheses

Solving an Equation with Fractions (Clear Fractions)

Solving an Equation with Decimals (Clear Decimals)

Ex: Solve a Multiple Step Equation with Fractions - 1/2y+7=1/8y (Keep Fractions)

Ex: Solve a Multiple Step Equation with Fractions 1/2y+7=1/8y (Clear Fractions)

Solve a Linear Equation with Parentheses and a Fraction 2/3(9x-12)=8+2x

Solve a Linear Equation with Parentheses and Fractions 4/5(2x+3)=5/2x-3

Ex: Solve a Multiple Step Equation with Variables on Both Sides

Ex 1: Solve a Multiple Step Equation with Parentheses and Variables on Both Sides

Ex 2: Solve a Multiple Step Equation with Parentheses and Variables on Both Sides )

Solve a Linear Equation with Parentheses and Decimals 0.35(x-0.6)=0.2(x+1.2)

Linear Equations with No Solutions of Infinite Solutions

Linear Equations with No Solutions of Infinite Solutions (Parentheses)

Writing and Solving Equations

Ex: Write and Solve an Equation for Consecutive Even Integers with a Given Sum

One Step Linear Equation in One Variable App: Sticker Price

Ex: Write and Solve an Equation for Consecutive Natural with a Given Sum

Ex: Write and Solve an Equation for Consecutive Integers with a Given Sum

Ex 1: Write a Linear Equation in One Variable from a Sentence

Ex 2: Write a Linear Equation in One Variable from a Sentence

Ex 3: Write a Linear Equation in One Variable from a Sentence

Write and Solve a Linear Equations to Solve a Number Problem (1)

Write and Solve a Linear Equations to Solve a Number Problem (Consecutive Integers)

Solve a Coin Problem Using an Equation in One Variable

Solve a Ticket Value Problem Using an Equation in One Variable

Writing Expressions to Solve a Linear Equation App: Coins

Writing Expressions to Solve a Linear Equation App: Stamps

Writing Expressions to Solve a Linear Equation App: Ticket Sales

Write Linear Expressions and an Equation Application: Savings Plans

Write a Linear Equation in One Variable App: Increase in Value

Write a Linear Equation in One Variable App: Depreciation

Solve a Coin Problem Using an Equation in One Variable

Solve a Ticket Value Problem Using an Equation in One Variable

Equivalent Equations

Modeling Change with Equivalent Equations a(x-c) = d

Modeling Change with Equivalent Equations ax + b = c

Create Equivalent Equations Using Construction Web I (Two Step)

Create Equivalent Equations Using Construction Web II (Two Step)

Create Equivalent Equations Using Construction Row (Two Step)

Determine Equivalent Equations Given x = a (2 Operations)

Determine Equivalent Equations Given x = a (3 Operations) Ex 1

Determine Equivalent Equations Given x = a (3 Operations) Ex 2

Determine Equivalent Equations Given x = a (4 Operations) Ex 1

Determine Equivalent Equations Given x = a (4 Operations) Ex 2

Create Equivalent Equations I (4 Steps)

Create Equivalent Equations II (4 Steps)

Area Application Problems Involving Equations in One Variable

Ex: Find the Height of a Rectangle Given the Area

Ex: Find the Height of a Triangle Given Area (Even Base)

Ex: Find the Height of a Triangle Given Area (Odd Base)

Ex: Find the Height of a Triangle Given Area (Odd Base and Decimal Area)

Ex: Find the Height of a Trapezoid Given Area

Ex: Find the Radius of a Circle Given the Area

Ex: Find an Age Given An Average Age and Relationship Between Two Ages

Literal Equations

Solving Literal Equations - Part 1 (L7.1)

Solving Literal Equations - Part 2 (L7.1)

Examples 1: Solving a Formula for a Variable

Examples 2: Solving a Formula for a Variable

Ex 1: Solve a Literal Equation for a Variable (Basic)

Ex 2: Solve a Literal Equation for a Variable

Ex 3: Solve a Literal Equation for a Variable

Ex: Literal Equation Application - Perimeter of a Rectangle

Literal Equations: Solve ax-by=c for y

Literal Equations: Solve a/x+b/y=c for y

Literal Equations: Solve m=(y-a)/(x-b) for y

Literal Equations: Solve u(gx+c)=y+h for Two Variables

Literal Equations: Solve q/v+9=(6d)/v for v

Literal Equations: Solve 3(a+b)/c=b for a

Find the Width of a Rectangle Given the Perimeter / Literal Equation

Find the Base of a Triangle Given Area / Literal Equation

Convert Celsius to Fahrenheit / Literal Equation

Solving Equations Graphically

Solving Linear Equations Graphically

Ex: Solve a Linear Equation in One Variable Graphically using the TI84

Ex: Solve a Linear Inequality in One Variable Graphically using the TI84

Solving Linear Equation Application Problems

Problem Solving with Equations

One Step Linear Equation in One Variable App: Sticker Price

Write and Solve Linear Equation - Number Problem with Given Sum

Application Problem Using an Equation (Target Heart Rate - L5.5)

Writing Linear Equations to Solve Applications (L6.1)

Ex: Find the Area of a Rectangle Given the Perimeter

Find the Width of a Rectangle Given the Perimeter / Literal Equation

Find the Base of a Triangle Given Area / Literal Equation

Ex: Linear Equation Application - Car Repair with Labor and Parts

Ex: Linear Equation Application - Depth Under Water

Distance = Rate x Time Application Problem

Problem Solving Using Distance, Rate, Time (Running)

Ex: Midpoint of a Segment

Ex: Find the Endpoint of a Segment Given the Midpoint and One Endpoint

Ex: Find Grade Category Percentages and Course Grade Percentage Based on Total Points

Ex: Find the Points Needed to Receive an A in a Class Based on Total Points

Ex: Find a Course Percentage and Grade Using a Weighted Average

Ex: Find a Final Exam Score to Receive a Specific Grade Using Weighted Averages

Ex 1: Application of a Linear Equation in One Variable - Salary Plus Commission

Ex 2: Application of a Linear Equation in One Variable - Salary Plus Commission

Ex: Application of a Linear Equation in One Variable - Equal Saving Amount

Ex: Determine How a Final Exam Score Affect a Course Grade using the TI84 (Weighted Averages)

Linear Equations in Two Variables

The Coordinate Plane and Plotting Points

Introduction to the Cartesian Plane - Part 1 (L8.1A)

Introduction to the Cartesian Plane - Part 2 (L8.1B)

Plotting Points on the Coordinate Plane

Determine the Ordered Pairs for Points Plotted on the Coordinate Plane

Plot Points Given as Ordered Pairs on the Coordinate Plane

Plot a Point on the Coordinate Plane and Determine Reflections

Working with Scale on the Cartesian Plane (L5.2)

Constructing a Graph From Data (L8.2)

Ex: Determine If An Ordered Pair is a Solution to a Linear Equation

Ex: Determine One Value of An Ordered Pair to Satisfy a Linear Equation

Ex: Determine One Value of An Ordered Pair to Satisfy a Linear Equation (Fractions)

Identify the Quadrant of a Point on the Coordinate Plane

Ex: Plotting Points on the Coordinate Plane

Ex: Identifying the Coordinates of Points on the Coordinate Plane

Verifying Ordered Pairs Satisfy a Linear Equation in Two Variables (L8.3)

Ex: Determine if Ordered Pairs Satisfy a Linear Inequality in Two Variables (09x-42)

Write Basic Equations from Sentences

Determine Solutions to a Linear Equation in Two Variables

Ex: Determine if Points are on a Given Line

Graphing By Plotting Points: Part 1, Part 2

Ex: Linear Equation with Decimal App - Complete a Table of Values and Find Inputs and Outputs

The Behavior of Graphs (L5.3)

Interpreting a Graph (L5.4)

Creating a Graph From Data (L5.5)

Matching Graphs to Situations (L6.1)

Ex: Area of a Parallelogram on the Coordinate Plane

Ex: Area of a Trapezoid on the Coordinate Plane

Graphing Linear Equations Using a Table of Values

Determine If an Ordered Pair is a Solution to a Linear Equation

Determine if Ordered Pairs are Solutions to a Linear Equation (y=mx+b)

Interpret the Meaning of Ordered Pairs from a Graph (Linear)

Graphing by Plotting Points - Linear (L6.3)

Using a Table of Values to Graph Linear Equations - Part 1 (L8.4A)

Using a Table of Values to Graph Linear Equations - Part 2 (L8.4B)

Graph Basic Linear Equations by Completing a Table of Values

Ex: Graph a Linear Equation With a Decimal Slope Using a Table of Values

Ex 1: Graph a Linear Equation Using a Table of Values

Ex 2: Graph a Linear Equation Containing Fractions Using a Table of Values

Ex 3: Graph a Linear Equation in Standard Form Using a Table of Values

Using a Linear Profit Equation to Complete a Table of Values

Graphing Horizontal and Vertical Lines

Graphing Horizontal and Vertical Lines (L8.6)

Ex: Graph a Horizontal Line Using a Table of Values

Ex: Graph a Vertical Line Using a Table of Values

Graphing Linear Equations by Finding Intercepts

Using Intercepts to Graph a Linear Equation (L8.5)

Graph Linear Equations Using Intercepts

Interpret the Meaning of the Intercepts of a Graph (Sales and Profit)

Interpret the Meaning of the Intercepts of a Graph (Time and Distance)

Ex: State the X and Y Intercepts Given the Graph of a Line

Ex 1: Graph a Linear Equation in Standard Form Using the Intercepts

Ex 2: Graph a Linear Equation in Standard Form Using the Intercepts

Ex: Determine the x and y Intercepts of a Linear Equation in Slope Intercept Form

Using Models

Determining Rate of Change and Slope

Rate and Slope

Ex: Determine Which Tables Represent a Linear Function or Linear Relationship

Ex: Identify the Correct Form of the Slope of a Line Given Two Points

Ex: Determine the Slope of a Line Given Two Points (Horizontal and Vertical)

Ex: Given Linear Function, Find the Rate of Change and Initial Value

Determine the Slope of a Line From a Graph (No Formula)

Ex 1: Determine the Slope Given the Graph of a Line (positive slope)

Ex 2: Determine the Slope Given the Graph of a Line (negative slope)

Ex: Determine the Slope Given the Graph of a Horizontal and Vertical Line

Ex: Find the Slope of a Line From the Graph (Positive Slope, Large Scale)

Ex 1: Find the Slope of a Line From the Graph (Negative Slope, Large Scale)

Ex 2: Find the Slope of a Line From the Graph (Negative Slope, Large Scale)

Ex 1: Determine the Slope a Line Given Two Points on a Line

Ex 2: Determine the Slope a Line Given Two Points on a Line

Ex: Find the Slope Given Two Points and Describe the Line

Ex: Find the Slope Given Two Points Containing Fractions and Describe the Line

Ex: Determine the Slope a Line Given Two Points on a Horizontal and Vertical Line

Ex: Find the Average Rate of Change From a Table - Temperatures

Ex: Determine An Average Rate of Change - Price Drop Per Week

Ex: Find the Average Rate of Change - Miles Per Hour

Ex: Find the Average Rate of Change from a Graph

Ex: Find the Average Rate of Change Given a Function Rule

Ex: Average Rate of Change Application - Hot Air Balloon Function

Ex: Find the Average Rate of Change Given a Function on [2,t]

Ex: Find the Average Rate of Change Given a Function on [3, 3+h]

Ex: Slope Application Involving Population Growth

Ex: Slope Application Involving Production Costs

Graphing a Linear Equations in Slope-intercept form: y=mx+b

Graphing a Line Given a Point and the Slope (L10.2)

Slope-Intercept Form of a Line

Graphing a Line in Slope-Intercept Form (new)

Using Slope Intercept Form of a Line

Animation: y = mx + b

Ex: Graph a Line and ID the Slope and Intercepts (b=0)

Ex: Graph a Vertical Line and and ID the Slope and Intercepts

Ex: Matching Linear Equations to Graphs of Lines

Graphing Lines in the form y = mx + b – Slope Intercept Form

Slope-Intercept form of a Line

Ex: Graph a Line Given a Point and the Slope

Ex: Graph a Linear Function Using a Table of Values (Function Notation)

Write and Graph a Linear Function by Making a Table of Values (Intro)

Graph a Linear Function as a Transformation of f(x)=x

Ex: Graphing a Horizontal Line and ID the Slope and Intercepts

Ex: Graph a Line and ID the Slope and Intercepts (Integer Slope)

Ex: Graph a Line and ID the Slope and Intercepts (Fraction Slope)

Ex: Determine the Equation of a Line Given the Graph (Large Scale)

Ex 1: Graph a Linear Equation in Slope-Intercept Form

Ex 2: Graph a Linear Equation in Slope-Intercept Form

Ex 3: Graph a Linear Equation in Slope-Intercept Form

Ex 4: Graph a Linear Equation in Slope-Intercept Form

Ex 1: Graph a Line in Slope Intercept Form - Change of Form of Slope Required (positive)

Ex 2: Graph a Line in Slope Intercept Form - Change of Form of Slope Required (negative)

Determining the Slope and Intercepts of a Line in Slope-Intercept Form (L10.4A)

Graph and Find Key Components of a Line Given in Slope-Intercept Form (L10.4B)

Ex 1: Graph a Linear Equation in Standard From by Writing in Slope-Intercept Form

Ex 2: Graph a Linear Equation in Standard From by Writing in Slope-Intercept Form

Ex 3: Graph a Linear Equation in Standard From by Writing in Slope-Intercept Form

Ex: Given Linear Equations, Find the Slope and Intercepts

Graphing Lines on the Graphing Calculator

Determining Linear Equations of Lines in Slope-intercept Form

Determining Linear Equations in Slope-Intercept Form - Part 1 (L11.1A)

Ex: Determine a Linear Equation From a Table of Values (Slope-Intercept Form) (09x-31)

Ex: Determine a Linear Equation Given Slope and a Point (Slope-Intercept Form) (09x-32)

Determining Linear Equations in Slope-Intercept Form From Tables and Graphs (L11.1B)

Ex 1: Determine the Equation of a Line Given a Table (Basic)

Ex 2: Determine the Equation of a Line Given a Table

Determine the Equation of a Line in Slope-Intercept Form

Ex 1: Find the Equation of a Line in Slope Intercept Form Given the Graph of a Line

Ex 2: Find the Equation of a Line in Slope Intercept Form Given the Graph of a Line

Ex: Determine the Equation of a Line Given the Graph (Large Scale)

Ex 1: Determine the Equation of a Line Graphically Given the Slope and a Point (Integer Slope)

Ex 2: Determine the Equation of a Line Graphically Given the Slope and a Point (Fraction Slope)

Ex 3: Determine the Equation of a Line Graphically Given the Slope and a Point (Fraction Intercept)

Ex: Find the Equation of a Line in Slope Intercept Form Given the Slope and a Point

Ex 1: Find the Equation of a Line in Slope Intercept Form Given the Graph of a Line

Ex 2: Find the Equation of a Line in Slope Intercept Form Given the Graph of a Line

Ex: Find the Equation of a Line From the Graph (Positive Slope)

Ex: Find the Equation of a Line From the Graph (Negative Fraction Slope)

Ex: Find the Equation of a Line From the Graph (Negative Integer Slope)

Ex: Find the Equation of a Line From the Graph (Horizontal)

Ex: Find the Equation of a Line Given a Graph (Large Uneven Scale)

Ex: Find the Equation of a Horizontal and Vertical Line Given the Graph

Ex: Determine the Equation of a Horizontal Line Passing Through a Given Point (09x-33)

Ex 1: Determine the Equation of a Line Graphically Given the Two Points (Integer Slope)

Ex 2: Determine the Equation of Line Graphically Given the Two Points (Fraction Slope)

Ex 1: Find the Equation of a Line in Slope Intercept Form Given Two Points

Ex 2: Find the Equation of a Line in Slope Intercept Form Given Two Points

Ex: Determine the Equation of a Line Given Two Points (Slope-Intercept Form) (09x-35)

Ex: Find the Linear Function Given Two Function Value in Function Notation

Ex: Determine a Linear Cost Function Given Two Points

Ex: Find the Equation of a Line in Slope Intercept Form Given the X and Y Intercepts

Ex: Find the Equation of a Horizontal Line Given Two Points on the Line

Ex: Find the Equation of a Vertical Line Given Two Points on the Line

Writing Equations From Tables - Linear I (L6.6)

Writing Equations From Tables - Linear II (L6.6)

Writing Equations From Tables - Squaring (L6.6)

Ex: Linear Equation Application (Write a Cost Equation)

Ex: Linear Equation Application (Write a Profit Equation)

Ex: Determine Linear Function Inputs Given Function Values

Ex: Find a Function Value from a Graph (09x-60)

Ex: Find a Function Input From a Table (09x-55)

Ex: Find Function Inputs for a Given Quadratic Function Output

Application; Find Function Outputs, Inputs, Domain and Range (Direct Var)

Application; Find Function Outputs, Inputs, Domain and Range (Linear)

Ex: Interpret a Given Function Value (09x-57)

Ex: Function Inputs and Outputs of a Cost Function (Linear)

Ex: Determine Total Cost and Marginal Cost (No Derivative)

Ex: Find an Output, Input, and Intercept of a Demand Function

Ex: Find Total Revenue, Total Cost, and Total Profit Functions

Determining Linear Equations in Slope-Intercept Form that Model Situations (L11.3)

Ex: Estimate and Interpret the Slope of a Linear Cost Function

Ex: Given a Linear Cost Function and a Charge, Find the Number of Items

Ex: Determine the Slope and Vertical Intercept of a Linear Cost Function

Ex: Determine the Rate of Change and Fixed Cost of a Linear Cost Function

Ex: Find a Linear Cost Function From Ordered Pairs and Interpret the Slope and Vertical Intercept

Ex: Determine an Average Cost Function and Function Value

Graphing and Determining Linear Equations in Standard Form: Ax + By = C

Introduction to General (Standard) Form of a Linear Equation (L11.4A)

Graph a Linear Equation in General (Standard) Form (L11.4B)

Ex: Determine the Intercepts Given the Graphs of Lines

Standard Form of a Line

Determine the Intercepts and Behavior of Linear Functions From a Graph

Graphing Lines by Finding Intercepts

Ex: Graph a Linear Equation in Standard Form Using a Table of Values

Ex: Graph a Linear Equation in Standard Form Using the Intercepts

Ex 1: Given Linear Equation in Standard Form, Write in Slope-Intercept Form to Graph

Ex 2: Given Linear Equation in Standard Form, Write in Slope-Intercept Form to Graph

Ex: Match the Graph of a Line to the Correct Equation in Standard Form

Ex 1: Find the Equation of a Line in Standard Form Given Two Points

Ex 2: Find the Equation of a Line in Standard Form Given Two Points

Application of a Linear Equation in General (Standard) Form (L11.5)

Graphing and Determining Linear Equations in Point-slope Form: y-y1=m(x-x1)

Point Slope Form of a Line

Ex: Graph a Linear Equation in Point-Slope Form

Ex: Find the Equation of a Line in Point Slope and Slope Intercept Form Given a Graphed Line

Ex: Find the Equation of a Line in Point Slope and Slope Intercept Form Given the Slope and a Point

Ex: The Equation of the Line in Point-Slope and Slope Intercept Form Given Two Points

Finding Linear Equations

Determining Linear Equations of Parallel and Perpendicular Lines

The Slope of Parallel and Perpendicular Lines

Parallel and Perpendicular

Lines: Part 1, Part 2

Determining Equations of Parallel and Perpendicular Lines (L11.2)

Determine the Equation of a Line Parallel to a Line in General Form

Determine the Equation of a Line Perpendicular to a Line in Slope-Intercept Form

Parallel and Perpendicular Lines (old)

Ex: Determine the Equation of a Line Parallel to A Given Line Passing Thru a Given Point (09x-34)

Ex 1: Determine the Equation of a Parallel Line Graphically

Ex 2: Determine the Equation of a Parallel Line Graphically (Line Only)

Ex 1: Find the Equation of a Line Parallel to a Given Line Passing Through a Given Point

Ex 2: Find the Equation of a Line Parallel to a Given Line Passing Through a Given Point

Ex: Linear Function Population Growth (Parallel Lines Application)

Ex 1: Determine the Equation of a Perpendicular Line Graphically

Ex 2: Determine the Equation of a Perpendicular Line Graphically (Line Only)

Ex 3: Determine the Equation of a Perpendicular Line Graphically (Fraction Intercept)

Ex 1: Find the Equation of a Line Perpendicular to a Given Line Passing Through a Given Point

Ex 2: Find the Equation of a Line Perpendicular to a Given Line Passing Through a Given Point

Ex: Find the Equation of a Perpendicular and Horizontal Line to a Horizontal Line

Ex: Find the Equation of a Perpendicular and Horizontal Line to a Vertical Line

Ex: Find the Equations of Parallel and Perpendicular Lines Using Slope Intercept Form

Solving Linear Equation Applications

Describe Situations Using Given Linear Equations in Two Variables

Interpret the Meaning of the Slope of a Linear Equation - Smokers

Interpret the Meaning of the Slope Given a Linear Equation - Median Home Values

Interpret the Meaning of the y-intercept Given a Linear Equation

Make a Prediction Using a Linear Equation - Home Value

Make a Prediction Using a Linear Equation (Horizontal Intercept) - Smokers

Application: Writing Linear Equation in General Form (Part 1)

Application: Writing Linear Equation in General Form (Part 2)

Interpret the Slope and Intercepts of a Linear Function (L10.3)

Ex: Write a Linear Equation that Models Cricket Chirps (Linear Equation Application)

Ex: Write a Linear Equation that Models Depreciation (Linear Equation Application)

Ex: Write a Linear Equation From Point Slope Form to Slope Intercept Form

Ex: Determine a Linear Function From An Application (School Enrollment) (09x-36)

Ex: Determine an Equation of a Linear Function - Tuition App (09x-56)

Ex: Percent Equation to Determine a Sale Price

Ex 1: Number Problem: Find a Number given a Relationship

Ex 2: Number Problem: Find a Number given a Relationship

Ex: Find the Length of Two Pieces Cut From a Large Piece Given a Relationship

Ex: Find the Dimensions and Area of a Field Given the Perimeter

Ex: Find the Dimensions of a Bookcase Using a Linear Equation

Ex: Find a Monthly Salary given Annual Salary Including a Bonus

Ex: Find the Number of Coins in a Bag Given the Total Value

Ex: Given the Interest, Find the Amount of Money in Two Accounts Earning Different Interest

Ex: Find the Rate of Two Cyclist Traveling Toward Each Other

Ex: Find the Distance Between To Cities Using d = rt formula

Ex: Find When Two People Leaving the Same Place At Different Rates and Time Will Meet

Linear Business Application

Ex: Linear Equation Application (Cost of a Rental Car)

Ex: Linear Equation Application (Write a Cost Equation)

Ex: Write a Linear Equation Given Fixed and Variable Costs

Ex: Linear Equation Application: Write a Profit Equation

Ex: Linear Equation Model for Submarine Depth

Ex: Linear Application: Oil Reserves

Ex: Linear Equations Application – Statins

Ex: Solving Linear Equations in One Variable with Parentheses

Ex: Solving Linear Equations in One Variable with Parentheses

Ex: Linear Equation Application - Write an Equation Involving Saving Money

Ex: Linear Equation Application - Write an Equation Involving Population Decrease

Ex: Find a Final Exam Score to Receive a Specific Grade Using Weighted Averages

Ex: Determine How a Final Exam Score Affect a Course Grade using the TI84 (Weighted Averages)

Ex: Find a Course Percentage and Grade Using a Weighted Average

Ex: Find Grade Category Percentages and Course Grade Percentage Based on Total Points

Ex: Find the Points Needed to Receive an A in a Class Based on Total Points

Ex: Given a Linear Model, Interpret the Meaning of the Slope and Make Predictions

Ex 1: Determining Linear Model for Population Growth

Ex 2: Determining a Linear Model for Population Growth

Ex: Model Depreciation Using a Linear Function (Determine Slope)

Ex: Model the Balance of a Gift Card Using a Linear Function ( m and b given)

Ex: Model the Cost of a Rental Truck Using A Linear Function (m and b given)

Ex: Model Sales Using a Linear Function Given a Table of Values

Ex: Model Purchases Using a Linear Model - Challenging (given m and b)

Ex: Model Population Using a Linear Function (m and b given)

Ex: Model Population Using a Linear Function (Determine Slope)

Ex: Find a Linear Equation Application - Cell Phone Plan

Ex: Savings Linear Function Application (Slope, Intercept Meaning)

Ex: Work Linear Function Application (Slope, Intercept Meaning)

Ex: Determine the Linear Cost Revenue, and Profit Functions From a Story

Ex: Find an Accrued Value Using Simple Interest (09x-37)

Determine the Amount of Interest Earned (Simple Interest)

Determine a Simple Interest Rate For a Loan with Known Interest

Simple Interest - Determine Account Balance (Monthly Interest)

Simple Interest - Determine Interest Balance (Monthly Interest)

Simple Interest - Determine Principal Balance (Monthly Interest)

Ex: Determine Total Cost of School with Tuition and Fees

Ex: Given a Linear Cost Function and Bugdet, Find the Number of Items that Can be Produced

Ex: Determine and Interpret Slope of a Linear Cost Function

Ex: Determine a Piecewise Linear Cost Function

Direct Variation

Direct Variation

Ex 1: Graph a Direct Variation Equation (positive slope)

Ex 2: Graph a Direct Variation Equation (negative slope)

Ex: Direct Variation Equation

Ex: Direct Variation (Distance = Rate x Time)

Hooke's Law - Direction Variation Application

Performing Linear Regression

Introduction to Regression Analysis

Estimate the Correlation Coefficient Given a Scatter Plot

Linear Regression

Ex: Use a Line of Best Fit to Make Predictions

Ex: Determine a Line of Best Fit and Make Predictions

Ex: Linear Regression Application on the TI84 - Supply and Demand

Linear Regression Using Desmos.com

Ex: Make a Prediction Given the Results of Performing Linear Regression

Ex: Graphical Interpretation of a Scatter Plot and Line of Best Fit

Ex 1: Create a Scatter Plot and then Perform Linear Regression on the Calculator

Ex 2: Creating a Scatter Plot and Performing Linear Regression on the Calculator

Linear Regression – Example 1, Example 2

Linear Regression on the TI84 Graphing Calculator

Linear Regression Using Desmos

Introduction to Functions

Function Basics

Introduction to a Function: Part 1, Part 2

Introduction to Relations and Functions (L9.1)

Introduction to Function Notation (L9.2)

Introduction to Discrete and Continuous Variables

Introduction to Discrete and Continuous Functions

Determine if Ordered Pairs Represent a Function and Describe Behavior

Ex: Determine if Statements Represent Functions

Ex 1: Reading and Interpreting the Graph of a Function (Time and Distance)

Ex 2: Reading and Interpreting the Graph of a Function (Wind Chill Factor)

Application: Determine the Meaning of Function Values

Ex: Use a Table To Find Function Inputs and Outputs - Items Sold Application

Determine Function Outputs, Inputs, Domain and Range Given a Linear Graph

Ex: Write an Expression to Complete a Table and Answer Questions (Gross Pay)

Function Notation Application

Linear Functions

Introduction to Linear Functions and Slope (L10.1)

Linear Function As a Table, Graph, and Equation (Cell Phone Plan)

Linear Function Application (L8.6)

Using Rates of Change to Build Tables and Graphs (L9.4A)

Using Rates of Change to Build Tables and Graphs (L9.4B)

Using Rates of Change to Build Tables and Graphs

Determine if a Table of Values Represents a Linear Function (L9.5)

Determine if a Table of Values Represents a Linear Function

Interpreting a Linear Function in Slope-Intercept Form (L10.5)

Ex: Determine Linear Function Outputs and Inputs (Applications)

Ex: Determine Function Inputs Using the Graph of a Function

Determine Ordered Pairs from a Graph (Outputs or y-values only)

Determine Ordered Pairs from a Graph (Inputs and Outputs)

Ex: Find Function Output and Input Using a Graph, Table, Ordered Pairs, and Function Rule

Ex: Determine if a Function is Increasing, Decreasing, or Constant from Graph, Table, and Ordered Pairs

Ex: Linear Function Application - Find Revenue, Cost, Profit Functions and Breakeven Point

Ex: Interpret the y-intercept and Slope of a Linear Model

Ex: Determine if a Linear Function is Increasing or Decreasing

Ex 1: Determine the Zeros of Linear Functions

Ex 2: Determine the Zeros of Linear Functions

Ex: Determine a Linear Function Model - Price and Quantity

Ex: Function Notation Application Problem

Ex: Write a Cost Function and Complete a Table of Values

Ex: Complete a Table of Values Given a Function Rule

Ex 1: Write a Function Rule Given a Table of Values

Ex 2: Write a Function Rule Given a Table of Values

Ex 3: Write a Function Rule Given a Table of Values

Ex: Write an Equation in Two Variables From a Sentence

Ex: Graph a Linear Function Using a Table of Values

Write Basic Functions from Applications - One Step

Ex: Writing Function Rules - Two Operations

Ex: Writing Function Rules - Three Operations

Ex: Determine a Linear Demand Function

Interpreting a Graph of a Function (L7.5)

Describing Function Rules and Writing Functions (L8.1)

Applications of Formulas in Function Notation (L8.3)

Graphing Functions by Plotting Points - Linear (L8.4)

Graphing Functions by Plotting Points - Quadratic(L8.4)

Graphing Functions by Plotting Points - Constant (L8.4)

Connecting Different Representations of Functions - Given Function Table (L8.5)

Connecting Different Representations of Functions - Given Function Formula (L8.5)

Connecting Different Representations of Functions - Given Function in Words (L8.5)

Connecting Different Representations of Functions - Given Graph (L8.5)

Creating Graphs to Represent Stories

Determine Graphs That Are Possible and Impossible to Model Situations

Determining Function Values

Function Notation

Evaluating Functions Using Function Notation (L9.3)

Finding Values of Functions

Determine Linear Function Values and Express as Ordered Pairs

Determine a Variety of Function Values

Ex: Find an Output of a Demand Function

Ex: Determine Function Inputs and Outputs Given a Function as Ordered Pairs

Determine Function Outputs, Inputs, Domain and Range Given a Linear Graph

Ex: Determine Function Inputs and Outputs Given a Function Rule

Ex 1: Determine Function Values Given a Quadratic Function

Ex 2: Determine Function Values Given a Square Root Function

Ex 3: Determine Function Values Given a Rational Function

Ex: Determine Various Function Outputs for a Quadratic Function

Ex 1: Determine a Function Value From a Graph

Ex 2: Determine a Function Value From a Graph

Ex 3: Determine a Function Value From a Piecewise Defined Graph

Ex: Evaluate and Solve for Functions Given as a Table

Ex1: Evaluate a Function and Solve for a Function Value Given a Graph

Ex2: Evaluate a Function and Solve for a Function Value Given a Graph

Ex: Linear Function Application - Output/Input

Ex: The Sum of Two Function Values With the Same Input

Ex: The Difference of Two Function Values With the Same Input

Ex: The Sum and Difference of Two Function Values With Different Inputs

Ex: Given a Graph and a Function Value, Determine the Input or X-Value

Ex 1: The Difference Quotient (Linear Function)

Ex 2: The Difference Quotient (Quadratic Function)

Ex 3: The Difference Quotient (Quadratic Function)

Ex: Write a Linear Relation as a Function

Determine Function Values Using Function Notation on the TI84

The Properties of Functions

The Algebra of Functions

Ex: Function Arithmetic - Determine Function Values from a Table

Ex: Function Arithmetic - Determine Function Values from a Graph

Ex: Determine Function Values from the Graph of a Function (Cubic)

Function Arithmetic (Sum): (f+g)(x) and (f+g)(4) – Quadratic

Function Arithmetic (Difference): (f-g)(x) and (f-g)(-2) – Quadratic

Function Arithmetic (Product): (f*g)(x) and (f*g)(-2)

Function Arithmetic (Quotient): (f*g)(x) and (f*g)(-3) - Long Division

Ex: Function Values Using Function Arithmetic

Ex 1: Function Arithmetic - Addition and Subtraction

Ex 2: Function Arithmetic - Addition and Subtraction with Fractional Inputs

Function Arithmetic (Add): f(x)+g(x) with Rational Functions

Function Arithmetic (Subtract): f(x)-g(x) with Rational Functions

Ex 1: Function Arithmetic - Add, Subtract, Multiply, and Divide

Ex 2: Function Arithmetic - Add, Subtract, Multiply, and Divide with Fractional Inputs

Ex: Function Arithmetic - Function Division (Dividing by a Monomial)

Ex 1: Find Sum, Difference, Product, and Quotient of Function (Function Arithmetic)

Ex 2: Find Sum, Difference, Product, and Quotient of Function (Function Arithmetic)

Introduction to Odd and Even Functions

Ex 1: Determine if a Function is Odd, Even, or Neither

Ex 2: Determine if a Function is Odd, Even, or Neither

Symmetry Introduction: x-axis, y-axis, the origin

Ex: Symmetry: x-axis, y-axis, the origin

Graphing Functions

Graphing 9 Basic Functions

The Domain and Range of 9 Basic Functions

Symmetry Introduction: x-axis, y-axis, the origin

Ex: Symmetry: x-axis, y-axis, the origin

Ex: Graph an Absolute Value Function Using a Table of Values

Ex: Graph a Square Root Function Using a Table of Values

Ex: Graph a Quadratic Function Using a Table of Values

Graphing Cubic Functions

Ex: Graph a Cubic Function Using a Table of Values

Graphing Nonlinear Functions

Graphing the Basic Square Root Function

Graphing Rational Functions

Determine a Basic Piecewise Defined Function

Interpreting and Graphing Piecewise Functions

Graphing Piecewise Defined Function by Hand and on the Calculator

Ex: Determine Function Values for a Piecewise Defined Function

Ex 1: Graph a Piecewise Defined Function

Ex 2: Graph a Piecewise Defined Function

Ex 3: Graph a Piecewise Defined Function

Ex 1: Determine the Function From the Graph of a Piecewise Defined Function

Ex 2: Determine the Function From the Graph of a Piecewise Defined Function

The Floor Function (Greatest Integer Function)

Graphing the Floor Function (Greatest Integer Function) on the TI84

Ex 1: Solve Equations and Inequalities Expressed Using Function Notation Graphically

Ex 2: Solve Equations and Inequalities Expressed Using Function Notation Graphically

Determining if a Relations is a Function

Determine if an Equation Represents a Function (Basic)

Determine if a relation is Function

The Vertical Line Test

Ex: Determine if a Table Values Represents a Function

Ex 1: Use the Vertical Line Test to Determine if a Graph Represents a Function

Ex 2: Use the Vertical Line Test to Determine if a Graph Represents a Function

Determine if Ordered Pairs Represent a Function and Describe Behavior

Determining the Domain and Range of a Function

Introduction to Domain and Range (L9.4)

Ex 1: Find Domain and Range of Ordered Pairs, Function or Not

Ex: Find the Domain of a Function From a Graph (09x-58)

Ex: Find the Range of a Function From a Graph (09x-59)

Ex: Determine the Domain from the Graph of Various Functions - Linear Form

Ex: Determine the Domain and Range from the Graph Function Modeling a Submarine Ascent

Find the domain and range

Ex: Give the Domain and Range Given the Points in a Table

Ex: Give the Domain and Range Given the Points on the Coordinate Plane

Ex 1: Find Domain and Range of Ordered Pairs, Function or Not

Ex 2: Find Domain and Range of Ordered Pairs, Function or Not

Ex: Give the Domain and Range Given the Graph of a Function

Ex 1: Determine the Domain and Range of the Graph of a Function

Ex 2: Determine the Domain and Range of the Graph of a Function

Practical Domain and Practical Range (L9.5)

Ex: Find the Practical Domain of a Profit Function (Linear)

Ex: Determine the Domain of a Square Root Function

Ex: Determine the Domain of an Absolute Value Function

Ex: Determine the Domain of a Rational Function

Ex: The Domain of a Function Containing a Square Root and a Denominator

Interpreting Linear Functions

Ex 1: Interpret the Meaning of a Linear Function - Salary Application

Ex 2: Interpret the Meaning of a Linear Function - Profit Application

Determining Odd and Even Functions

Introduction to Odd and Even Functions

Ex 1: Determine if a Function is Odd, Even, or Neither

Ex 2: Determine if a Function is Odd, Even, or Neither

Introduction to Symmetry about the x-axis, y-axis, and the origin Using Points

Determine Points that are Symmetrical Across the x-axis, y-axis, and the Origin

Symmetry Introduction: x-axis, y-axis, the origin

Ex: Symmetry: x-axis, y-axis, the origin

Linear Inequalities in One Variable

Solving Linear Inequalities

Infinity

Introduction to Basic Inequalities in One Variable (L7.2)

Determine the Construction Steps of a Two Step Inequality

Determine the Construction Steps of a Three Step Inequality

Write Inequalities as Words

Write Inequalities as Words

Create an Inequality Web (No Variables)

Create an Inequality Web (With Variable)

Writing Expression, Equations, or Inequalities from Statements 1

Writing Expression, Equations, or Inequalities from Statements 2

Writing Inequalities from Statements (Abstract)

Write Inequalities and Equivalent Inequalities From Statements

App: Write an Inequality that Models a Situation

Graph Linear Inequalities in One Variable (Basic)

Express Inequalities as a Graph and Interval Notation

Writing Equations and Inequalities for Scenarios

Solving Linear Inequalities in One Variable (L7.3)

Solving One-Step Linear Inequalities in One Variable

Ex: Graphing Basic Inequalities and Expressing Using Interval Notation

Discover the Rule for Solving Inequality (Inequality Web)

Ex: Solving One Step Inequalities by Adding and Subtracting (Variable Left Side)

Ex: Solving One Step Inequalities by Adding and Subtracting (Variable Right Side)

Ex: Solve One Step Linear Inequality by Dividing (Variable Left)

Ex: Solve One Step Linear Inequality by Dividing (Variable Right)

Ex: Solving a One Step Linear Inequality by Multiplying

Solving Two-Step Linear Inequalities in One Variable

Ex: Solve a Two Step Linear Inequality (Variable Left)

Ex: Solve a Two Step Linear Inequality (Variable Right)

Solving Linear Inequalities in One Variable

Ex: Solve a Linear Inequality in One Variable (ax<bx+c)

Ex: Solve a Linear Inequality in One Variable (ax<b(cx+d))

Ex: Solve a Linear Inequality in One Variable (ax>b+c(dx+e))

Ex: Solve a Linear Inequality in One Variable (ax+b<cx+d) Reverse

Ex: Solve a Linear Inequality Requiring Multiple Steps (Parentheses)

Ex: Solve a Multiple Step Linear Inequality (Variable Both Sides)

Solve an Inequality (-(4m-5)+3)/4<6

Ex: Solve a Linear Inequality with Decimals

Ex: Solve a Linear Inequality with Parentheses

Ex 1: Solve a Linear Inequality Given Function Notation Using a Graph

Ex 2: Solve a Linear Inequality Given Function Notation Using a Graph

Linear Inequalities Applications

Problem Solving with Inequalities

Linear Inequalities in One Variable Application Problems (L7.4)

Ex: Solve a Linear Inequality in One Variable Application Problem (Commission Job)

Ex: Solve a Linear Inequality in One Variable Application Problem (Two Cell Phone Plans)

Ex: Solve a Linear Inequality in One Variable Application Problem (Compare Two Job Offers)

Write and Solve an Inequality to Represent a Situation: Elevator Weight

Write and Solve an Inequality to Represent a Situation: Luggage Dimensions

Inequality App: Velocity of an Arrow (a-bx>0)

Inequality App: Cost of an Car Ride or Taxi (ax+b<=c)

App: Write and Solve an Inequality that Models a Situation (Meal Cost)

App: Write and Solve an Inequality that Models a Situation (Miles Run)

Using Interval Notation

Interval Notation

Set-Builder Notation

Given Interval in Words, Graph and Give Interval Notation

Given Interval in Words, Graph and Give Inequality

Given Interval Notation, Graph and Give Inequality

Given an Inequality, Graph and Give Interval Notation

Intervals: Given an Inequality, Graph the Interval and State Using Interval Notation

Intervals: Given the Graph of an Interval, State as an Inequality and Using Interval Notation

Intervals: Given Interval Notation, Graph the Interval and State as an Inequality

Ex: Express Intervals Using Inequalities, Using a Graphs, an Using Interval Notation

Ex 2: Express Intervals Using Inequalities, Graphs, and Interval Notation

Solving and Graphing Compound Inequalities

Introduction to Basic Compound Inequalities - AND Only (L7.5)

Solutions to Basic OR Compound Inequalities

Solutions to Basic AND Compound Inequalities

Compound Inequalities

Ex: Graph Basic Compound Inequalities

Ex 1: Solve a Compound Inequality Involving AND (Intersection)

Ex 2: Solve a Compound Inequality Involving AND (Intersection)

Ex 3: Solve a Compound Inequality Involving AND (Intersection)

Ex: Solve a Compound Inequality Involving OR (Union)

Ex: Solve a Multiple Step Compound Inequality (OR / Union)

Ex: Solve a Compound Inequality (No Solution)

Ex: Solve a Compound Inequality (All Real Numbers Solution)

App: Write an Compound Inequality that Models a Situation

Absolute Value Equations and Absolute Value Inequalities

Solving Absolute Value Equations

Determine if Ordered Pairs are Solutions to a Absolute Value Equation

Absolute Value Equations

Solving Absolute Value Equation Using Multiplication and Division

Ex 1: Solving Absolute Value Equations

Ex 2: Solving Absolute Value Equations

Ex 3: Solving Absolute Value Equations (Requires Isolating Abs. Value)

Ex 4: Solving Absolute Value Equations (Requires Isolating Abs. Value)

Ex 5: Solving Absolute Value Equations (Requires Isolating Abs. Value)

Ex: Solving Absolute Value Equations on the Graphing Calculator

Absolute Value Equations with No Solutions

Solving Absolute Value Inequalities

Ex: Determine Solutions to Absolute Value Inequalities

Ex: Solve Basic Absolute Value Equations (Graph and Interval Notation)

Ex: Determine Solutions to Inequalities in One Variable

Introduction to Basic Absolute Value Equations and Absolute Value Inequalities (L7.6)

Absolute Value Inequalities

Ex 1: Solve and Graph Basic Absolute Value inequalities

Ex 2: Solve and Graph Absolute Value inequalities

Ex 3: Solve and Graph Absolute Value inequalities

Ex 4: Solve and Graph Absolute Value inequalities (Requires Isolating Abs. Value)

Ex 5: Solve and Graph Absolute Value inequalities Involving Fractions

Ex 6: Solve and Graph Absolute Value inequalities (Requires Isolating Abs. Value)

Ex: Solve Absolute Value Inequalities on the Graphing Calculator

Linear Inequalities in Two Variables

Solving Linear Inequalities in Two Variables

Introduction to Linear Inequalities in Two Variables (L11.6)

The Difference Between a Linear Equation and Linear Inequality (Two Variables)

Use a Graph Determine Ordered Pair Solutions of a Linear Inequality in Two Variable

Graphing Linear Inequalities in Two Variables (L11.7)

Linear Inequalities in Two Variables

Ex: Determine if Ordered Pairs Satisfy a Linear Inequality

Ex 1: Graphing Linear Inequalities in Two Variables (Slope Intercept Form)

Ex 2: Graphing Linear Inequalities in Two Variables (Standard Form)

Ex: Graphing a Linear Inequality in One Variable on the Coordinate Plane (Horizontal Line)

Ex: Graphing a Linear Inequality in One Variable on the Coordinate Plane (Vertical Line)

Ex: Linear Inequality in Two Variables Application Problem (Phone Cost: Day and Night Minutes)

System of Equations and Inequalities

Solving Systems of Equations by Graphing

Ex: Determine if Point is a Solution to a System of Linear Equations (09x-38)

Solving Systems of Linear Equations by Graphing - Part 1 (L12.1A)

Solving Systems of Linear Equations by Graphing - Part 2 (L12.1B)

Solving Systems of Equations by Graphing

Determining the Intersection of Two Graph on the TI83/84

Ex: Solve a System of 2 Equations with 2 Unknowns by Graphing on the TI84

Ex: Determine Solutions to Systems of Linear Equations Graphically

Ex: Solve a Linear System of Equations by Graphing (Horizontal and Vertical Lines)

Ex: Identify the Solution to a System of Equation Given a Graph, Then Verify

Ex 1: Solve a System of Equations by Graphing

Ex 2: Solve a System of Equations by Graphing

Ex: Solve a System of Equations by Graphing (Infinite Solutions)

Ex: Solve a Linear System of Equations by Graphing (Infinite Solutions)

Ex: Solve a System of Equations by Graphing (No Solution)

Ex: Solve a Linear System of Equations by Graphing (No Solution)

Ex 1: Find the Intersection of Two Linear Functions

Ex 2: Find the Intersection of Two Linear Functions

Ex: Find the Area of a Triangle Bounded by a Line, a Perpendicular Line, and the Y-Axis

Regression and Systems of Equations: Application

Solving Systems of Equations Using Substitution

Solving Systems of Linear Equations Using Substitution (L12.2)

Ex: Solve a System of Linear Equations Using Substitution (Integer Values) (09x-39)

Solving Systems of Equations by Substitution

Ex 1: Solve a System of Equations Using Substitution

Ex 2: Solve a System of Equations Using Substitution

Ex 3: Solve a System of Equations Using Substitution

Ex 4: Solve a System of Equations Using Substitution

Ex: Solve a System of Equations Using Substitution - Infinite Solutions

Ex: Solve a System of Equations Using Substitution - No Solution

Ex: Solve Systems of Linear Equations Using Substitution (Mixed Review - All Types)

Ex: Intersection of a Line and a Circle - Applications

Solving Systems of Equations Using Elimination

Solving Systems of Linear Equations Using Addition (Elimination) (L12.3)

Ex: Solve a System of Linear Equations Using Elimination/Addition (Integer Values) (09x-41)

Solving Systems of Equations by Elimination

Ex 1: Solve a System of Equations Using the Elimination Method

Ex 2: Solve a System of Equations Using the Elimination Method

Ex 3: Solve a System of Equations Using the Elimination Method

Ex: Solve a System of Equations Using Eliminations (Fractions)

Ex: System of Equations Using Elimination (Infinite Solutions)

Ex: System of Equations Using Elimination (No Solution)

Solving Applications Using Systems of Equations

Ex: Write a System of Linear Equations From Given Information (09x-40)

Write Linear Equations to Model and Compare Cell Phone Plans with Data Usage

Applications Involving Systems of Equations

Application Using a System of Linear Equations (L12.4)

Ex: Solve an Application Problem Using a System of Linear Equations (09x-43)

More Applications Involving Systems of Equations

Ex: System of Equations Application - Number Problem Using Substitution

Ex: System of Equations Application - Number Problem Using Elimination

Ex: System of Equations Application - Compare Phone Plans

Ex: System of Equations Application - Entrance Fees

Ex: System of Equations Application - Coin Problem

Ex: System of Equations Application - Plane and Wind Problem

Ex: System of Equations Application - Commission and Salary

Ex: System of Equations Application - Investment Accounts

Ex: System of Equations Application (Corral Perimeter)

Ex: System of Equations Application - Mixture Problem

Ex: System of Linear Function Application - Median Home Prices

Ex: System of Equations Application - Supply and Demand

Ex: System of Equations App - Number of Chickens and Pigs

Ex: System of Equations App - Run Distance of Two Runners

Ex: System of Equations App - Number of Marbles

Ex: System of Equations App - Number of Tacos and Burritos

Ex: System of Equations App - Nut Mixture

Ex: System of Equations App - When Two Accounts Have Same Balance

Ex: Intersection of a Line and a Circle - Applications

Solving Systems of Linear Inequalities

Systems of Linear Inequalities

Determine if an Ordered Pair is a Solution to a System of Linear Equations

Determine if an Ordered Pair is a Solution to a System of Linear Inequalities

Graphing a System of Linear Equations

Determine the Number of Solutions to a System of Linear Equation From a Graph

Ex 1: Graph a System of Linear Inequalities

Ex 2: Graph a System of Linear Inequalities

Ex 3: Graph the feasible Region of a System of Linear Inequalities

Determine the Solution to a System of Inequalities (Compound)

System of Equations App: Break-Even Point

Solving Systems of Three Equations with Three Unknowns

System of Equations in Three Variables: Part 1, Part 2

Ex: Solve a System of 3 Equations with 3 Unknowns Using Back Substitution

Ex 1: System of Three Equations with Three Unknowns Using Elimination

Ex 2: System of Three Equations with Three Unknowns Using Elimination

Ex 3: System of Three Equations with Three Unknowns Using Elimination (Fractions)

Ex 4: System of Three Equations with Three Unknowns Using Elimination (No Solution)

Ex 5: System of Three Equations with Three Unknowns Using Elimination (Infinite Solutions)

System of 3 Equations with 3 Unknowns Application - Interest Problem

System of 3 Equations with 3 Unknowns Application - Concentration Problem

System of 3 Equations with 3 Unknowns Application - Ticket Sales

Solving Systems of Non-Linear Equations

Ex 1: Solve a System of Nonlinear Equations (Substitution)

Ex 2: Solve a System of Nonlinear Equations (Substitution)

Ex 3: Solve a System of Nonlinear Equations (Elimination)

Exponents and Polynomials

Exponents and Simplifying Expressions with Exponents

Exponential Notation

Ex: Write Repeated Multiplication Using Exponents

Properties of Exponents

Properties of Exponents (L3.3) Evaluate Basic Exponential Expressions x^3, 2x^2, (2x)^2

Simplify Basic Exponential Expressions

Evaluate and Simplify Expressions Using the Zero Exponent Rule

Ex: Simplify a Monomial Raised to a Power (09x-45)

Ex: Simplify the Product of Two Monomials (09x-46)

Ex: Simplify a Fraction Raised to a Power (09x-47)

Ex: Simplify a Quotient Using Exponent Rules (09x-48)

Division Properties of Exponents (L4.1)

Ex: Expanding and Evaluating Exponential Notation

Simplify Expressions Using the Product Rule of Exponents (Basic)

Simplify Expressions Using the Quotient Rule of Exponents (Basic)

Simplify Expressions Using the Power Rule of Exponents (Basic)

Simplify Expressions Using the Quotient and Zero Exponent Rules

Simplify Expressions Using the Quotient and Negative Exponent Rules

Simplify Expressions Using Exponent Rules (Product, Quotient, Zero Exponent)

Simplify Expressions Using Exponent Rules (Power of a Product)

Simplify Expressions Using Exponent Rules (Power of a Quotient)

Ex: Simplify Exponential Expressions Using the Product Property of Exponents

Ex: Simplify Exponential Expressions Using the Power Property of Exponents

Ex: Simplify Fractions Raised to Powers (Positive Exponents Only) Version 1

Ex: Simplify Fractions Raised to Powers (Positive Exponents Only) Version 2

Ex: Simplify Exponential Expressions Using Power Property - Products to Powers

Ex: Simplify Exponential Expressions Using the Quotient Property of Exponents

Simplify and Evaluate Compound Exponential Expressions

Simplify Compound Exponential Expressions (Pos Exp Only)

Ex: Simplify Exponential Expressions with Fraction Exponents (Product Property of Exponents)

Ex: Simplify Exponential Expressions - Product and Power Rule

Ex 1: Exponent Properties (Product, Power Properties)

Ex 2: Exponent Properties (Product, Power Properties)

Ex 3: Exponent Properties (Zero Exponent)

Ex: Simplify Exponential Expressions - Quotient Rule

Ex 1: Simplify Exponential Expressions - Positive Exponents Only

Ex 2: Simplify Exponential Expressions - Positive Exponents Only

Ex 3: Simplify Exponential Expressions - Positive Exponents Only

Negative Exponents (L4.2)

Simplify Basic Expressions with Negative Exponents: -8^(-3), (-8)^(-3), 5y^(-1), (5y)^(-1)

Simplify A Product of Expressions with Neg Exponents (2 Methods)

Simplify A Quotient of Expressions with Neg Exponents (2 Methods)

Simplify A Quotient of Expressions with Neg Exponents (Adv -2 Methods)

Ex: Simplify a Fraction Raised to a Negative Power (09x-49)

Ex: Simplify an Expression With a Negative Exponent (09x-50)

Ex: Evaluate an Expression with a Negative Exponent (09x-51)

Ex: Negative Exponents - Fractions with Powers Raised to Powers

Ex: Negative Exponents - Basics

Simplify Basic Expressions with Negative Exponents

Ex: Negative Exponents - Fractions with Powers Raised to Powers

Ex 1: Simplify Expressions with Negative Exponents

Ex 2: Simplify Expressions with Negative Exponents

Ex 3: Simplify Expressions with Negative Exponents

Ex 1: Simplify Exponential Expressions With Negative Exponents – Basic

Ex 2: Simplify Exponential Expressions With Negative Exponents – Basic

Negative Exponents

Scientific Notation

Application of Scientific Notation - Quotient 1 (Number of Times Around the Earth)

Application of Scientific Notation - Quotient 2 (Time for Computer Operations)

Ex 1: Simplify an Exponential Expression with Negative Exponents

Ex 2: Simplify an Exponential Expression with Negative Exponents

Ex 3: Simplify an Exponential Expression with Negative Exponents

Ex 4: Simplify Expressions with Negative Exponents

Ex 5: Simplify Expressions with Negative Exponents

Ex 6: Simplify Expressions with Negative Exponents

Simplify a Rational Expression Raised to a Negative Power ((4x^b)/(x^c*y^d))^(-a)

Ex 1: Simplify Expressions using Exponent Properties (Quotient / Power Properties)

Ex 2: Simplify Expressions using Exponent Properties (Negative / Quotient / Power Properties)

Ex 3: Simplify Expressions using Exponent Properties (Negative / Quotient / Power Properties)

Ex 4: Simplify Expressions using Exponent Properties (Negative / Quotient / Power Properties)

Ex 1: Evaluate Expressions With Negative Exponents (Negative / Quotient / Power Properties)

Ex 2: Evaluate Expressions With Negative Exponents (Negative / Quotient / Power Properties)

Ex 1: Exponent Review

Ex 2: Exponent Review

Introduction to Polynomials

Introduction to Polynomials

Polynomials and Polynomial Terminology (L3.1)

Ex: Polynomial Terminology: Name, Coefficient, Constant, Degree

Determine the Terms and Coefficients of a Variable Expression

Determine if an Expression is a Polynomial

Ex: Algebraic Expression Vocabulary

Ex: Determine the Coefficients of Various Terms

Ex: Intro to Polynomials in One Variable

Ex: Intro to Polynomials in Two Variables

Combine Like Terms

Ex: Combine Like Terms

Identify Like Terms and Combine Like

Simplify Expressions by Combining Like Terms (No Negatives)

Evaluating Algebraic Expressions

Evaluating Polynomial Expressions and Functions

Evaluate a Polynomial in One Variable

Evaluate Various Algebraic Expressions

Ex 1: Evaluate Basic Algebraic Expressions

Ex 2: Evaluate Basic Algebraic Expressions

Ex 3: Evaluate Algebraic Expressions (Advanced)

Ex: Evaluate a Quadratic Expression With a Negative Value

Ex: Evaluate an Expression in the Form 3x^2y

Ex: Evaluate an Expression in the Form -7x^2-4y^2-8xy+7

Ex: Evaluate an Expression in the Form 6x^2y^2+3xy+4y+5x-8

Evaluate a Quadratic Equation - Death Application

Evaluate a Polynomial Equation - Flu Virus Application

Ex: Quadratic Equation Application - Evaluate and Factor

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials (L3.2)

Add and Subtract Polynomials

Ex: Adding Polynomials

Ex: Subtracting Polynomials

Ex: Adding and Subtracting Polynomials

Ex: Simplify Polynomial Expressions - Add/Subtract/Multiply

Ex: Polynomial Subtraction Application - Length

Polynomial Function Application: Profit Function From Revenue and Cost Functions

Ex: Polynomial Addition Application - Perimeter

Multiplying Polynomials

Multiplying Polynomials

Multiply Binomials Using An Area Model and Using Repeated Distribution

Multiply Binomials Using the FOIL Acronym

Multiply Binomials Using a Table

Multiply Binomial with Higher Powers

Multiplication of Polynomials (L3.4)

Ex: Find The Product of Two Binomials (09x-52)

Ex: Find The Square of a Binomials (09x-53)

Ex: Multiplying Polynomials

Special Products of Polynomial

Ex: Multiplying Monomials

Ex: Multiplying Using the Distributive Property

Ex: The Distributive Property

Ex: Distribute and Simplify Expressions in Fraction Form

Ex: Multiplying Binomials

Ex: Multiplying Two Binomials Expressions

Ex: Squaring Binomials

Ex: Squaring Binomial Expressions with Two Variables

Ex: Multiplying Binomial Conjugates - Special Binomial Products

Ex: Multiplying Binomial Conjugates

Ex: Multiplying Binomial Conjugates with Fractions

Multiplying Binomials with Radicals

Ex: Polynomial Multiplication Involving Binomials and Trinomials

Ex 1: Polynomial Multiplication (Mixed Review)

Ex 2: Polynomial Multiplication (Mixed Review)

Ex: Simplify an Expression Involving Squares of Two Binomials

Ex: Find the Area of a Rectangle Using a Polynomial

Ex: Express an Area as an Expression by Decomposing Area

Ex: Determine the Area of a Shaded Region Using a Polynomial

Ex: Find an Polynomial Expression for a U-Shaped Area

Ex: Find a Polynomial Expression for Area of Rectangles - Pool Application

Applications from Geometry Using Polynomials (L3.5)

Dividing Polynomials

Dividing Polynomials by a Monomial

Dividing Polynomials by a Monomials (L4.3)

Ex: Divide a Binomial by a Monomial (09x-54)

Ex: Dividing Polynomials by a Monomial (Basic)

Ex: Divide a Polynomial by a Monomial

Dividing Polynomials – Long Division

Divide a Degree 3 Polynomial by a Degree 1 Polynomial (Long Division)

Ex 1: Divide a Trinomial by a Binomial Using Long Division

Ex 2: Divide a Trinomial by a Binomial Using Long Division

Ex 3: Divide a Polynomial by a Binomial Using Long Division

Ex 4: Divide a Polynomial by a Binomial Using Long Division

Ex 5: Divide a Polynomial by a Binomial Using Long Division

Dividing Polynomials – Synthetic Division

Ex 6: Divide a Polynomial by a Degree Two Binomial Using Long Division

Polynomial Long Division: Degree 4 Divided by Degree 2

Polynomial Long Division: Degree 4 Divided by Degree 1 (Missing Term)

Ex 1: Divide a Trinomial by a Binomial Using Synthetic Division

Ex 2: Divide a Polynomial by a Binomial Using Synthetic Division

Ex 3: Divide a Polynomial by a Binomial Using Synthetic Division

Ex 4: Divide a Polynomial by a Binomial Using Synthetic Division

Synthetic Division: Degree 4 Divided by Degree 1 (Missing Term, Neg k)

Synthetic Division: Degree 4 Divided by Degree 1 (Missing Term, Pos k)

Polynomial Applications

Polynomial Multiplication Application - Volume of a Cylinder

Polynomial Subtraction App - Profit Equation from Revenue and Cost

Factoring

Determining the Greatest Common Factor and Factoring by Grouping

Ex: Determine the GCF of Two Monomials (One Variables)

Ex: Determine the GCF of Two Monomials (Two Variables)

Factoring: Greatest Common Factor

Ex: Factor a Binomial - Greatest Common Factor

Ex 1: Identify GCF and Factor a Binomial

Ex 2: Identify GCF and Factor a Trinomial

Factor the GCF from a Trinomial: 30x^3-36x^2+12x

Factor the GCF from a Trinomial: -12y^4+15y^3-18y^2

Factoring: Grouping Technique

Ex: Factor a Polynomial Using the Grouping Technique

Ex 1: Intro to Factor By Grouping Technique

Ex 2: Intro to Factor By Grouping Technique

Ex 3: Intro to Factor By Grouping Technique

Ex: Factor By Grouping - 4 Terms with Two Variables

Ex: Factor By Grouping - 4 Terms with Common Factor

Factor by Grouping with GCF

Ex 1: Factor By Grouping - Change of Order Required

Ex 2: Factor By Grouping - Change of Order Required

Ex 1: Factor a Quadratic Expression Using Grouping

Ex 2: Factor a Quadratic Expression Using Grouping

Ex 3: Factor a Quadratic Expression Using Grouping

Ex 1: Factor a Quadratic Expression Using Grouping When a = 1

Ex 2: Factor a Quadratic Expression Using Grouping When a = 1

Ex: Factor a Trinomial in Two Variables Using Grouping

Factoring Trinomials with a Leading Coefficient of 1

Factoring a Trinomial With Leading Coefficient equal to 1 – The Basics

Factoring: Basic Trinomials with a = 1

Ex: Factor Trinomials When A equals 1

Ex: Factoring Polynomials with Common Factors

Factoring Trinomials with a Leading Coefficient Not 1

Factoring: Trinomials using Trial and Error and Grouping

Ex: Factor Trinomials When A is NOT Equal to 1 - Trial and Error Method

Ex: Factor Trinomials When A is NOT Equal to 1 - Grouping Method

Factoring: Trinomials using Bottoms-Up

Proof: Bottoms Up Factoring Method

Ex: Factor Trinomials When A is NOT Equal to 1 - Bottoms Up Method

Compare 3 Methods for Factoring ax^2+bx+c (a not 1, no GCF)

Factor a Trinomial with A not 1 Using Trial and Error: 20x^2-13x-72

Factor Trinomials With Common Factors (a Not 1 using Trial and Error)

Factor Trinomial with a GCF of the Leading Coefficient: 4x^2+20x-24, 8x^2-32x-96

Factor Trinomial with a GCF of the Leading Coefficient: 5x^3-85x^2+360x, 6x^4+78x^3+216x^2

Factoring a Difference of Squares

Factoring: Difference of Squares

Ex: Factor a Difference of Squares

Ex: Factor a Difference of Squares with a Common Factor

Ex: Factor a Difference of Squares in the Form a^2 - x^2

Factor a Difference of Squares with a Common Factor

Factoring Perfect Square Trinomials

Factoring: Perfect Square Trinomials

Factor Perfect Square Trinomials Using a Formula

Ex: Factor Perfect Square Trinomials

Factor Trinomials With Common Factors (Perfect Square Trinomials)

Factoring a Sum or Difference of Cubes

Factoring: Sum and Difference of Cubes

Ex 1: Factor a Sum or Difference of Cubes

Ex 2: Factor a Sum or Difference of Cubes

Ex 3: Factor a Sum or Difference of Cubes

Factor a Sum and Difference of Cubes with a Common Factor

Other Factoring

Do All Expressions Factor?

Factor Expressions with Negative Exponents

Factor Expressions with Fractional Exponents

Factor Expressions Using Substitution

Factor Using Substitution - Quadratic Form with Integer Powers

Factor Using Substitution - Quadratic Form with Square Root / Rational Exp

Factor Using Substitution - Quadratic Form with Rational Exp and Expressions

Solving Polynomial Equations / Increasing and Decreasing Polynomials

Solving Polynomial Equations Graphically

Determining When a Polynomial Function is Increasing and Decreasing

Determining the Zeros or Roots of a Polynomial Function on the TI83/84

Quadratic Functions and Equations

Solving Quadratic Equations by Factoring

Determine if Ordered Pairs are Solutions to a Quadratic Equation

The Zero-Product Property

Solving Quadratic Equations by Factoring

Ex: Solve an Equation in Factored Form

Factor and Solve a Quadratic Equation - GCF Only

Factor and Solve a Quadratic Equation with Fractions - GCF Only

Ex: Factor and Solve Quadratic Equation - Greatest Common Factor Only

Ex 1: Factor and Solve a Quadratic Equation - GCF

Ex 2: Factor and Solve a Quadratic Equation - GCF

Ex 1: Factor and Solve a Quadratic Equation - Factor by Grouping

Ex 2: Factor and Solve a Quadratic Equation - Factor by Grouping

Ex: Solve a Quadratic Equation Using Factor By Grouping

Ex: Factor and Solve Quadratic Equations When A equals 1

Factor a Trinomial Using the Shortcut Method - Form x^2+bx+c

Ex 1: Factor and Solve Quadratic Equation - Trinomial a = 1

Ex 2: Factor and Solve Quadratic Equation - Trinomial a = 1

Ex: Factor and Solve Quadratic Equation - Trinomial a = -1

Ex: Factor and Solve Quadratic Equation - Difference of Squares

Ex 1: Factor and Solve a Quadratic Equation Using Difference of Squares

Ex 2: Factor and Solve a Quadratic Equation Using Difference of Squares

Ex: Factor and Solve a Quadratic Equation - Perfect Square Trinomials

Ex: Factor and Solve Quadratic Equation - Perfect Square Trinomials

Ex: Factor and Solve Quadratic Equation - Greatest Common Factor

Factor a Trinomial With A Common Factor Using the Shortcut Method - Form x^2+bx+c

Factor a Trinomial in the Form ax^2+bx+c Using the Grouping Technique

Factor a Trinomial in the Form -ax^2+bx+c Using the Grouping Technique

Ex 1: Factor and Solve a Quadratic Equation - a not 1

Ex 2: Factor and Solve a Quadratic Equation - a not 1

Ex 1: Solve Quadratic Equations by Factoring Completely

Ex 2: Solve Quadratic Equations by Factoring Completely

Solve a Quadratic Equations with Fractions by Factoring (a not 1)

Ex: Factor and Solve a Polynomial Equation

Solve a Basic Cubic Eqaution by Factoring x^3-bx=0

Given f(x)=-x^2+4x, Solve f(x)=0 by Factoring

Given f(x)=-x^2-2x+13, Solve f(x)=2 by Factoring

Given f(x)=-x^2, Solve f(x)=4 (No Real Rational Solutions)

Given f(x)=x^2+4x+7, Solve f(x)=1 (No Real Rational Solutions)

Solving Quadratic Equations Graphically

Ex 1: Solve a Quadratic Equation Graphically on Calculator

Ex 2: Solve a Quadratic Equation Graphically on Calculator

Ex 1: Solving Quadratic Equations Graphically Using x-Intercepts

Ex 2: Solving Quadratic Equations Graphically Using the Intersection Method

Solving Quadratic Equations Using the Square Root Property

Solving Quadratic Equations Using Square Roots

Ex 1: Solving Quadratic Equations Using Square Roots

Ex 2: Solving Quadratic Equations Using Square Roots

Ex 3: Solving Quadratic Equations Using Square Roots

Ex 4: Solving Quadratic Equations Using Square Roots

Ex: Solve Basic Quadratic Equations Using Square Roots

Ex: Solve Quadratic Equations Using Square Roots

Solve a Quadratic Equation Using Square Roots x^2+8x=2(32+4x)

Solving a Quadratic Equation by Completing the Square

Forming Perfect Square Trinomials

Ex: Form a Perfect Square Trinomial (Even b)

Ex: Form a Perfect Square Trinomial (Odd b)

Ex: Form a Perfect Square Trinomial Fractional b)

Quadratic Expressions: Writing General Form in Standard Form

Ex: Write ax^2+bx+c in the form a(x-h)^2+k (a=1)

Ex: Write ax^2+bx+c in the form a(x-h)^2+k (a>0)

Ex: Write ax^2+bx+c in the form a(x-h)^2+k (a<0)

Ex: Write ax^2+bx+c in the form a(x-h)^2+k (a and b no common factor)

Ex: Creating a Perfect Square Quadratic Trinomial Expression

Ex: Create an Expression with a Perfect Square Quadratic Trinomial

Completing the Square

Solve a Quadratic Equation by Completing the Square (b is odd)

Solve a Quadratic Equation by Completing the Square (a not 1, b is odd)

Ex 1: Completing the Square - Real Rational Solutions

Ex 2: Completing the Square - Real Irrational Solutions

Ex 3: Completing the Square - Complex Solutions

Ex 4: Completing the Square - Leading Coefficient Not 1

Ex 5: Completing the Square - Leading Coefficient Not 1 (Complex)

Solving a Quadratic Equation Using the Quadratic Formula

Simplify Radical Expressions (Quadratic Equation Form)

Ex: Simplify a Radical Expression (Quadratic Formula Practice)

Simplify a Square Root Expression in Quadratic Formula Form (Real, Rational)

Simplify a Square Root Expression in Quadratic Formula Form (Real, Irrational)

Using the Quadratic Formula

Ex: The Discriminant

Proof of The Quadratic Formula

Ex: Quadratic Formula - Two Real Rational Solutions

Ex: Quadratic Formula - One Real Rational Repeated Solution

Ex1: Quadratic Formula - Two Real Irrational Solutions

Ex2: Quadratic Formula - Two Real Irrational Solutions

Ex: Quadratic Formula - Complex Solutions

Ex: Solve a Quadratic Equation Using the Quadratic Formula with Complex Solutions (Decimal Approx.)

Ex: Solve a Quadratic Equation Using the Quadratic Formula with Complex Solutions (Exact Value)

Ex : Solve a Quadratic Equation Using the Quadratic Formula - Difference of Squares

Ex : Solve a Quadratic Equation Using the Quadratic Formula - 2 Real Irrational Solutions

Ex : Solve a Quadratic Equation Not Set Equal to Zero Using the Quadratic Formula

Graphing Quadratic Functions

Graphing by Plotting Points - Quadratic (L6.3)

Graphing Quadratic Functions in Standard Form

Graphing Quadratic Functions in General Form

Graph a Quadratic Function Using a Table of Value and the Vertex

Ex: Find the Intercepts of a Quadratic Function - Requires the Quadratic Formula

Ex: Graph a Quadratic Function in General Form (Online Graphing Tool)

Ex: Graph a Quadratic Function in Standard Form (Online Graphing Tool)

Graphing Quadratic Functions Using Symmetric Points

Ex1: Graph a Quadratic Function in General Form

Ex2: Graph a Quadratic Function in General Form

Ex 3: Graph a Quadratic Function in General Form

Ex 4: Graph a Quadratic Function in General Form by Finding Key Components

Graphing a Quadratic Function in General Form: Vertex, Axis, Intercepts

Ex 1: Graph a Quadratic Function in Standard Form

Ex 2: Graph a Quadratic Function in Standard Form

Ex1: Write a Quadratic Function in Standard Form to Graph

Ex2: Write a Quadratic Function in Standard Form to Graph (a not 1)

Ex: Quadratic Function Review

NEW: Quadratic Function Overview

Ex 1: Key Characteristics of the Graph of a Quadratic Function (Opens Up)

Ex 2: Key Characteristics of the Graph of a Quadratic Function (Opens Down)

Quadratic Function Transformations

Quadratic Function: General Form to Vertex Form Using Vertex Equation (a=1)

Quadratic Function: General Form to Vertex Form Using Vertex Equation (a=-1)

Quadratic Function: General Form to Vertex Form Using Vertex Equation (a=-2)

Quadratic Function: General Form to Vertex Form Using Vertex Equation (a=3)

Determining Equations of Quadratic Functions

Ex: Find the Equation of a Quadratic Function from the Graph

Ex: Find a Quadratic Function Given the Intercepts of the Graph

Ex: Find a Quadratic Function Given the Vertex and the Leading Coefficient.

Ex: Find the Vertex Form of a Quadratic Function Given the Vertex and a Point

Ex: Write a Given Quadratic Function in Vertex Form (a not 1, no fractions)

Ex: Write a Given Quadratic Function in Vertex Form (a not 1, with fractions)

Ex 2: Write a Given Quadratic Function in Vertex Form (a not 1, with fractions)

Ex 1: Find a Quadratic Function With Integer Zeros

Ex 2: Find a Quadratic Function With Fractional Real Zeros

Ex 3: Find a Quadratic Function With Imaginary Zeros

Ex 4: Find a Quadratic Function With Complex Zeros

Ex 5: Find a Quadratic Function With Complex Zeros (Alternative Method)

Ex 1: Find a Quadratic Function Using Sum and Product of Zeros (Integer and Fraction Zeros)

Ex 2: Find a Quadratic Function Using Sum and Product of Zeros (Complex)

Ex: Find the Equation of a Quadratic Function in Vertex, General, and Factored From From Graph

Introduction to Vieta's Formula: Quadratic Equations (Sum and Product of Roots)

Vieta's Formula for Quadratics: Find (r1+1)(r2+1)

Vieta's Formula for Quadratics: Find 2/r1 + 2/r2

Vieta's Formula for Quadratics: Find the Sum of the Square of the Roots

Introduction to Vieta's Formula: Cubic Equations (Sum and Product of Roots)

Applications of Quadratic Equations

Factoring Application - Find the Lengths of Three Sides of a Right Triangle (Pythagorean Theorem)

Factoring Application - Find the Time When a Projectile Hits and Ground

Ex: Find Consecutive Numbers with a Given Product (Quadratic Equation Application)

Ex: Quadratic Function Application - Profit (GCF)

Ex: Quadratic Function Application - Profit (Factoring a Trinomial)

Ex: Find the Length of the Diagonal of a Rectangle Given the Area

Quadratic App: Find Consecutive Odds with a Given Product (Factor a = 1)

Quadratic App: Find Consecutive Evens with a Given Product (Factor a = 1)

Quadratic App: Find Integers Given the Difference of the Squares (Factor a Not 1)

Quadratic App: Find the Height of an Isosceles Triangle (Square Roots)

Quadratic App: Find the Base and Height of a Right Triangle (Pythagorean / Quad Form)

Quadratic App: Find Two Numbers Given Difference and Sum of Squares (Factor)

Quadratic App: Find Height and Base of a Triangle Given the Area (Factor)

Quadratic App: Find the Length of a Shadow Using Pythagorean Thm (Square Roots)

Ex: Find the Perimeter of an Equilateral Triangle Given the Area without Trigonometry

Ex: Quadratic Function Application - Blood Pressure

Ex: Quadratic Function Application Using Formulas - Rocket Launch

Ex: Quadratic Function Application Using a Graphing Calculator - Rocket Launch

Ex: Find the Size of Cardboard Needed to Make a Box with a Given Volume

Ex: Quadratic Function Application - Maximum Temperature Using the TI84

Ex: Quadratic Function Application - Horizontal Distance and Vertical Height

Ex: Quadratic Function Application - Height at a Given Time and Time an Object Hits the Ground

Ex: Quadratic Function Application - Times For a Given Height Using the TI84

Ex: Quadratic Function Application - Time and Vertical Height

Ex: Quadratic Model Application - Ticket Price to Maximize Revenue

Ex 1: Quadratic Equation App - Find the Dimensions of a Rectangle Given Area (Factoring)

Ex 2: Quadratic Equation App - Find the Dimensions of a Rectangle Given Area (Factoring)

Ex: Quadratic Equation App - Determine When an Object Hits the Ground (Factoring)

Ex: Quadratic Equation App - Find a Number Given the Sum of A Number and Its Square

Ex: Quadratic Function Application - Maximum Area

Quadratic App: Find the Inputs for a Given Function Value (Quadratic Formula)

Ex: Quadratic Equation App: Find the Width of a Frame (Factoring)

Ex: Quadratic Equation App: Find Item Price from Demand and Given Revenue (Quadratic Formula)

Ex: Quadratic Function App: Maximize Area of a Rectangle for a Given Cost of Fencing (Vertex)

Ex: Quadratic Function App: Maximize Area of a Rectangle for a Given Perimeter (Vertex)

Ex: Quadratic Function App: Maximize Area of a Rectangle with 3 Sides Fenced (Vertex)

Ex: Quadratic Function App: Maximize the Yield of a Harvest (Vertex)

Vertex Application: Find the Time Given a Maximum Height (Formula)

Ex: Quadratic Regression on the TI84 - Stopping Distance

Ex: Quadratic Application Solved using the TI84 (Angry Birds)

Ex: Quadratic Application Solved using the TI84 (Profit)

Ex: Quadratic Regression Application Solved using the TI84 (Golf Ball on Uranus)

Quadratic Formula Application - Time for an Object to Hit the Ground

Quadratic Formula Application - Determine the Width of a Border

Pythagorean Thm and Quadratic Formula App: Rectangle Dimensions Given Diagonal and Area

Quadratic Formula App: Find the Length and Width of a Rectangle Given the Area

Quadratic App: Find the Dimensions of a Rectangle Given Perimeter and Diagonal

Quadratic Function App: Find Profit from Revenue and Cost (Vertex)

Quadratic Function App: Find Profit from Price-Demand and Cost (Vertex)

Quadratic Function App: Find Profit from Price-Demand (Vertex)

Solving Quadratic Inequalities

Quadratic Inequality Application: Solve Graphically

Solving Quadratic Inequalities

Solve Quadratic Inequalities from a Graph Only

Ex 1: Solve a Quadratic Inequality

Ex 2: Solve a Quadratic Inequality

Ex 1: Graph a Quadratic Inequality on the Coordinate Plane

Ex 2: Graph a Quadratic Inequality on the Coordinate Plane

Solve a Quadratic Inequality: Factorable (Less than Zero)

Solve a Quadratic Inequality: Factorable (Greater Than or Equal to Zero)

Solve a Quadratic Inequality - No Solution

Solve a Quadratic Inequality - All Real Numbers

Quadratic Inequality Application: Solve on Graphing Calculator

Quadratic Inequality Application: Factorable

Solving Equations in Quadratic Form

Solve Equations in Quadratic Form by Factoring

Ex 1: Solving Equations in Quadratic Form - Rational Exponents

Ex 2: Solving Equations in Quadratic Form - Higher Powers

Ex 3: Solving Equations in Quadratic Form - Square Root

Ex 4: Solving Equations in Quadratic Form - Negative Exponents

Solve an Equation in Quadratic Form Using Substitution (x^4)

Solve an Equation in Quadratic Form Using Substitution (x^(2/3))

Solve an Equation in Quadratic Form Using Substitution (y-5)^2

Solve an Equation in Quadratic Form Using Substitution (p+2)^2

Solve an Equation in Quadratic Form Using Substitution (3y+5)^2

Solve an Equation in Quadratic Form Using Substitution (x^2-23)^2

Solve an Equation in Quadratic Form Using Substitution ax^(2/3)