Algebra II

Algebra II

Getting ready for Algebra II (Algebra II #1): Words, phrases and definitions we should know before starting Algebra II. If these are confusing, please go back and refresh your knowledge. Otherwise, confusion will most certainly be the result. #1<br><br>This subject is under construction and incomplete. I'm currently uploading videos to this playlist daily.<br>Sorry for the inconvenience.<br><br>For those who would like a refresher of Algebra I, here's a link<br>to my Algebra I playlist.<br>Algebra I Playlist:<br>https://www.youtube.com/playlist?list=PLKi4WTp6PRGXzkjUUMYVChM2WxWfgIrK4

Algebra II

See More
Getting ready for Algebra II (Algebra II #1)
Words, phrases and definitions we should...
Algebra II #1.1a, Review of Rational and Irrational numbers
A review of rational and irrational numb...
Algebra II #1.1b, Addition of Real Numbers, positive and negative
A review of adding positive and negative...
Algebra II #1.1c, Subtraction of Real Numbers, positive and negative
A review of subtracting positive and neg...
Algebra II #1.2a, Multiplying Real Numbers, positive and negative
A review of how to multiply positive and...
Algebra II #1.2b, Division of Real Numbers and Multiplicative inverse
A review of how to divide positive and n...
Algebra II #1.2c, Division and Zero as undefined
A review of how dividing by zero is unde...
Algebra II 1.3a, Algebraic expressions review
A review and explanation of algebraic ex...
Algebra II 1.3b, Commutative & Associative properties and expressions
An explanation and review of the Commuta...
Algebra II 1.3c, Identity Property and expressions
An explanation and review of the Identit...
Algebra II 1.4a, Distributive property over Addition or Subtraction
An explanation and review of the Distrib...
Algebra II 1.4b, Distributive property and Factoring
An explanation and review of how the Dis...
Algebra II 1.4c, Collecting Like Terms using Properties
An explanation of how to collect "like t...
Algebra II 1.4d, Inverses of Sums and two Theorems
An explanation of additive inverse, Mult...
Algebra II 1.4e, Simplify with the Distributive property
An explanation of how to simplify an alg...
Algebra II 1.5, Solve equations with Properties of Equality & two Theorems
An explanation of the Addition and Multi...
Algebra II 1.6, Writing equations for Word Problems
An explanation of how to assign variable...
Algebra II 1.7, Exponential Notation and Integers as exponents
An explanation of how to write in expone...
Algebra II 1.8a, Theorems to Multiply or Divide exponents
An explanation of the theorems we can us...
Algebra II 1.8b, Raising Powers to Powers, three Theorems
An explanation of how we can raise a pow...
Algebra II 1.8c, Order of Operations, braces, brackets, parentheses, exponents
An explanation of how to solve equations...
Algebra II 1.8d, Overview of the Rules for Exponents
An explanation and review of all the rul...
Algebra II 1.9a, Convert between Scientific and Standard Notation
An explanation of Scientific Notation an...
Algebra II 1.9b, Multiply and Divide using Scientific Notation
An explanation of how to multiply and di...
Algebra II 1.9c, Estimate with Scientific Notation
An explanation of how to estimate with S...
Algebra II 1.10a, Field Axioms & Properties of Equality
An explanation of the field axioms, clos...
Algebra II 1.10b, Write a Column Proof & 4 Theorems
An explanation of how to make a Proof Ta...
Algebra II 1.11, Draw a Diagram to solve Word Problems
An explanation of how drawing a diagram ...
Algebra II 2.1a, Remove Fractions and Decimals from equations
An explanation of how to remove fraction...
Algebra II 2.1b, Equations with Parentheses
An explanation of how we can use the Dis...
Algebra II 2.1c, Principle of Zero Products Theorem
An explanation of the Principle of Zero ...
Algebra II 2.2, Change words into Equations
An explanation of how to turn words from...
Algebra II 2.3, Solve a Formula for a Specific variable
An explanation of how to rearrange a for...
Algebra II 2.4a, Inequality solutions on a number line
An explanation of how to graph Inequalit...
Algebra II 2.4b, Interval Notation and Set-Builder Notation
An explanation of how to write solutions...
Algebra II 2.4c, Addition Property of Inequality Theorem
An explanation of the Addition Property ...
Algebra II 2.4d, Multiplication Property of Inequality and Theorem
An explanation of the Multiplication Pro...
Algebra II 2.4e, Addition & Multiplication Property of Inequality used together
An explanation of how to use the Additio...
Algebra II 2.5, Solve Inequality word problems
An explanation of how to solve inequalit...
Algebra II 2.6a, Conjunctions and Intersections
An explanation of Compound Statements, C...
Algebra II 2.6b, Disjunctions and Unions
An explanation of how to solve Disjuncti...
Algebra II 2.7a, Simplify Absolute value expressions
An explanation of how to simplify absolu...
Algebra II 2.7b, Distance on a number line & Absolute value
An explanation of a points on a number l...
Algebra II 2.7c, Equations & Inequalities with Absolute value and Theorem
A explanation of how to solve and graph ...
Algebra II 2.8a, Prove Conditional statements
An explanation of Conditional Statements...
Algebra II 2.8b, Inequalities - Write & Prove Converses of Statements
An explanation of Conditional Statements...
Algebra II 2.8c, Solve Inequality proving Statement and Converse
An explanation of how to solve an inequa...
Algebra II 2.8d, Theorem of Equivalent Statements
An explanation of the Theorem of Equival...
Algebra II 2.9, Word problem Strategy, Try-Test-Revise
An explanation of how to use the method ...
Algebra II 3.1a, Cartesian Products
An explanation of how to find the Cartes...
Algebra II 3.1b, Cartesian Products and Relations
An explanation of the relations in Carte...
Algebra II 3.1c, Domain and Range of a Function
An explanation of the Domain and Range o...
Algebra II 3.1d, Describe a Relation with Set-Builder Notation
An explanation of how to describe a rela...
Algebra II 3.2a, Graph Ordered Pairs of a Relation
An explanation of why and how we graph o...
Algebra II 3.2b, Ordered pairs as solutions to equations
An explanation of how ordered pairs are ...
Algebra II 3.2c, Graph Equations by Plotting Solutions
An explanation of how to graph equations...
Algebra II 3.3a, Recognize Functions and their Graphs, Vertical Line Test
An explanation of how to recognize funct...
Algebra II 3.3b, Use Function Notation to find Function values
An explanation of how to use function no...
Algebra II 3.3c, Find the Domain of a Function
An explanation of how to find the domain...
Algebra II 3.4a, Recognize Linear Equations as First-degree equations
An explanation of how to recognize a lin...
Algebra II 3.4b, Graph Linear Equations & Theorem
An explanation of how to graph linear eq...
Algebra II 3.4c, Lines Graphed parallel to the Axes & Theorem
An explanation of how lines will be grap...
Algebra II 3.4d, Functions, Family of Lines & Parameter
An explanation of "family of lines" and ...
Algebra II 3.5a, Find the Slope of a line
An explanation of how to find the slope ...
Algebra II 3.5b, Slope of Horizontal or Vertical lines
An explanation of the slope of horizonta...
Algebra II 3.5c, Find Point-slope equation of a line & Theorem
An explanation of how to find an equatio...
Algebra II 3.6a, Two-point equation of a line & Theorem
An explanation of the Point-slope equati...
Algebra II 3.6b, Slope-intercept equations of lines & Theorem
An explanation of how to find the slope-...
Algebra II 3.6c, Graph Equations using Slope-intercept form
An explanation of how to graph equations...
Algebra II 3.6d, Find the Standard Form of a Linear Equation & Theorem
An explanation of how to write any equat...
Algebra II 3.7a, Determine if two lines are parallel & Theorem
An explanation of how to find if two lin...
Algebra II 3.7b, Find Equations of Parallel lines
An explanation of how to find the equati...
Algebra II 3.7c, Determine if two lines are Perpendicular & Theorem
An explanation of how to find if two lin...
Algebra II 3.7d, Find Equations of Perpendicular lines
An explanation of how to find the equati...
Algebra II 3.7e, Lines Parallel, Perpendicular, Same or neither
An explanation of how to determine if li...
Algebra II 3.8, Determine Linear Functions and Data points
An explanation of how to find a linear f...
Algebra II 3.9a, Step Functions, Greatest Integer Functions
An explanation of Step-functions, Greate...
Algebra II 3.9b, Absolute value Functions
An explanation of Absolute value functio...
Algebra II 3.9c, Composite of two Functions f(g (x)), F of g of x
An explanation of how functions can be c...
Algebra II 3.9d, Sign function, Signum function, sgn(x)
An explanation of how to use and solve s...
Algebra II 3.10, Word problem strategy, Make an organized list
An explanation of how to solve word prob...
Algebra II 4.1, Solve systems of equations graphically
An explanation of how to solve systems o...
Algebra II 4.2a, Solve a system by Substitution Method
A step-by-step explanation of how to sol...
Algebra II 4.2b, Linear combinations and the Elimination method
A step-by-step explanation of how to sol...
Algebra II 4.2c, Linear combinations & Eliminate decimals and fractions
An explanation of how to solve a system ...
Algebra II 4.2d, Cramer's Rule for Two Equations
An explanation of Cramer's rule for two ...
Algebra II 4.3, Word Problems and Systems of Equations
An explanation of how to change the word...
Algebra II 4.4a, Systems of Equations, What is an Ordered Triple (x, y, z)
An explanation of how three variables ma...
Algebra II 4.4b, Part 1 Solve a system in 3 variables (x,y,z)
Part 1 of a step-by-step explanation of ...
Algebra II 4.4c, Part 2 Solve a system in 3 variables (x,y,z)
Part 2 of a step-by-step explanation of ...
Algebra II 4.4d, Triangularization Algorithm to solve systems of linear equations
An explanation of the triangularization ...
Algebra II 4.5, Word Problems using a System of 3 equations
An explanation of how to solve word prob...
Algebra II 4.6a, Inconsistent and Consistent systems
An explanation of when a system of equat...
Algebra II 4.6b, DEPENDENT systems of linear equations
An explanation of dependent systems of l...
Algebra II 4.6c, Algebra connects to Geometry, 3 equations = 3 planes
An explanation of how a system of three ...
Algebra II 4.7a, Linear inequalities, Boundary and half-plane
An explanation of how to solve linear in...
Algebra II 4.7b, Graph inequalities, find Vertices
An explanation of how to solve and graph...
Algebra II 4.8a, Word Problems involving Linear Programming
An explanation of linear programming and...
Algebra II 4.8b, Linear Programming & Theorem
An explanation of the Theorem to solve l...
Algebra II 5.1a, Polynomial Functions & Degrees
An explanation of functions, f(x), terms...
Algebra II 5.1b, Simplify Polynomials & Collect Like terms
An explanation of how to simplify polyno...
Algebra II 5.1c, Polynomial Functions and Specified Values
An explanation of how to find specific f...
Algebra II 5.2a, Add Polynomials
An explanation of how to add polynomials...
Algebra II 5.2b, Additive Inverse of a Polynomial
An explanation of the additive inverse o...
Algebra II 5.2c, Subtract Polynomials
An explanation of how to subtract polyno...
Algebra II 5.3a, Multiply any two Polynomials
An explanation of how to multiply any tw...
Algebra II 5.3b, Multiply two Binomials with FOIL Method
An explanation of how to FOIL two binomi...
Algebra II 5.3c, Squares of Binomials
An explanation of binomial squares, what...
Algebra II 5.3d, Products of Sums and Differences
An explanation of the product of Sums an...
Private video
This video is private....
Algebra II 5.4a, Factor Polynomials with a Common Factor
An explanation of how factoring is the r...
Algebra II 5.4b, Factor a Trinomial Square
An explanation of how to factor a trinom...
Algebra II 5.4c, Factor Differences of Two Squares
An explanation of how to factor the diff...
Algebra II 5.4d, Factoring by Grouping
An explanation of how to factor expressi...
Algebra II 5.5A, Factor Sums or Differences of two Cubes
An explanation of how to factor the sums...
Algebra II 5.5B, Factor Trinomials of the type x²+Bx+C
An explanation of how to factor trinomia...
Algebra II 5.5c, Factor Trinomials of the type Ax²+Bx+C
An explanation of how to factor trinomia...
Algebra II 5.6, REVIEW & Guide to factor ANY Polynomial
THIS IS A CONDENSED REVIEW OF FACTORING....
Algebra II 5.7, Factoring and the Principle of Zero Products
An explanation of the Principle of Zero ...
Algebra II 5.8a, PART 1 Words Translated into Factorable Equations
An explanation of how to turn words from...
Algebra II 5.8b, PART 2 More Words Translated into Factorable Equations
Part 2 of translating words from a word ...
Algebra II 6.1a, Simplify Rational Expressions & Theorem
An explanation of how to multiply, divid...
Algebra II 6.1b, Multiply & Simplify Rational Expressions
An explanation of how to multiply, then ...
Algebra II 6.1c, Divide & Simplify Rational Expressions & 2 Theorems
An explanation of how to divide and simp...
Algebra II 6.2a, Add/Subtract Rationals with LIKE Denominators & Theorem
An explanation of how to add or subtract...
Algebra II 6.2B, Add/Subtract Rationals with UNLIKE Denominators
An explanation of how to add or subtract...
Algebra II 6.2C, Graphing Rational Functions & Asymptotes
An explanation of how functions can be d...
Algebra II 6.3, Simplify Complex Rational Expressions
An explanation of how a complex rational...
Algebra II 6.4A, Divide a Polynomial by a Monomial & Theorem
An explanation of how to divide a polyno...
Algebra II 6.4B, Divide a Polynomial by a Polynomial
An explanation of how to divide a polyno...
Algebra II 6.5, Synthetic Division Algorithm, Divide Polynomial by binomial
An explanation of algorithms and synthet...
Algebra II 6.6, Solve Rational Equations
An explanation of how to solve equations...
Algebra II 6.7A, Rational Equations & Work Problems
An explanation of how to solve work prob...
Algebra II 6.7B, Rational Equations & Motion Problems
An explanation of how to solve motion pr...
Algebra II 6.8A, Solve Rational Formulas for a Specific Variable
An explanation of how to solve Rational ...
Algebra II 6.8B, Rational Equation Word Problems involving Formulas
An explanation of how to solve word prob...
Algebra II 6.9A, Direct Variation & Constant of Variation
An explanation of direct variation in wh...
Algebra II 6.9B, Inverse Variation & Equation of Variation
An explanation of inverse variation as a...
Algebra II 6.9C, Word Problems using Variation y=kx or y=k/x
An explanation of how to solve word prob...
Algebra II 6.10, Word Problem Strategy, Tables & Patterns
An explanation of how tables and pattern...
Algebra II 7.1A, Square Roots, Principal Square Roots & 2 Theorems
An explanation of square roots and princ...
Algebra II 7.1B, Odd and Even Roots (indexes)
An explanation of the "indexes", also ca...
Algebra II 7.1C, Kth Roots & Odd and Even Roots
An explanation of unknown index or root ...
Algebra II 7.2A, Multiply Radical Expressions & Theorem
An explanation of how to multiply expres...
Algebra II 7.2B, Factor & Simplify Radical Expressions
An explanation of how to factor a radica...
Algebra II 7.2C, Multiply & Simplify Radical Expressions
An explanation of how to multiply the te...
Algebra II 7.3A, Find Roots of Quotients & Theorem
An explanation of how to find the roots ...
Algebra II 7.3b, Divide Radical Expressions
An explanation of how to divide equation...
Algebra II 7.3C, Add or Subtract Radical Expressions
An explanation of how to add or subtract...
Algebra II 7.4A, FOIL with Radical Expressions
An explanation of how to multiply and so...
Algebra II 7.4B, Rationalize Denominators of Radicals
An explanation of how to rationalize the...
Algebra II 7.4C, Conjugates & Difference of two Squares
An explanation of how to rationalize a d...
Algebra II 7.5A, Combinations of Powers & Roots + Theorem
An explanation of the combinations of po...
Algebra II 7.5B, Rational exponents as Radical expressions
An explanation of how to simplify radica...
Algebra II 7.5C, Negative Rational exponents
An explanation of how to use the Negativ...
Algebra II 7.5D, Rational exponents to simplify Radicals
An explanation of how rational exponents...
Algebra II 7.6A, Radical equations, Principle of Powers & Theorem
An explanation of the Principle of Power...
Algebra II 7.6B, Word Problems, Formulas & Radical equations
An explanation of how to solve word prob...
Algebra II 7.7A, Imaginary Numbers and i
An explanation of how the set of real-nu...
Algebra II 7.7B, Powers of i & Patterns of i
How the first four powers of i begin a p...
Algebra II 7.7C, Multiply Imaginary Numbers i
How to multiply imaginary numbers in ter...
Algebra II 7.7D, Add or Subtract Complex Numbers
How to add or subtract complex numbers, ...
Algebra II 7.8A, Graphing Complex Numbers
How to graph complex numbers on a coordi...
Algebra II 7.8B, Absolute Values of Complex Numbers
How the absolute value of a complex numb...
Algebra II 7.9A, Equality for Complex Numbers
How properties of equality relate to com...
Algebra II 7.9B, Multiply Complex Numbers
How to multiply complex numbers as we wo...
Algebra II 7.9C, Conjugates of Complex Numbers & Theorem
An explanation of "conjugates" and the c...
Algebra II 7.9D, Division & Reciprocals of Complex Numbers
How to divide complex numbers using the ...
Algebra II 7.10A, Solutions that are Complex Numbers
An explanation of how we can tell if a c...
Algebra II 7.10B, Find Equations with Complex number Solutions
An explanation of how to use the Princip...
Algebra II 7.10C, 1st degree Equations w/Complex number Solutions & Theorem
How to solve equations of the first degr...
Algebra II 7.10D, Find Square Roots of Complex Numbers & Theorem
An explanation of how to find the square...
Algebra II 8.1A, Solve ax²+bx+c=0 Quadratic equations
How to solve equations in the form ax²+b...
Algebra II 8.1B, Quadratic Equations & Completing the Square
How to solve quadratic equations by comp...
Algebra II 8.2A, Word Problem solved as Quadratic Equation
How to solve a word problem that involve...
Algebra II 8.2B, Pythagorean Theorem & Quadratic Equation
How to solve a word problem that involve...
Algebra II 8.3A, Quadratic Formula & Theorem
How to use the Quadratic Formula to solv...
Algebra II 8.3B, Approximate to solve Quadratic Equations
An explanation of how to find rational n...
Algebra II 8.4A, Discriminant of Quadratic Formula & Theorem
An explanation of the Discriminant of th...
Algebra II 8.4B, Sums / Products of Quadratic solutions & Theorem
An explanation of how to find sums and p...
Algebra II 8.4C, Find Quadratic Equation from given Solutions
An explanation of how to use the Princip...
Algebra II 8.5, Use Substitution for a Quadratic Form
An explanation of how we can use substit...
Algebra II 8.6A, Solve 2nd degree Formulas for a given letter
An explanation of how to solve a 2nd deg...
Algebra II 8.6B, Falling objects & Quadratic Equations
An explanation of how to solve a problem...
Algebra II 8.7A, DIRECT QUADRATIC Variation
We first discussed Direct variation in v...
Algebra II 8.7B, INVERSE QUADRATIC Variation
We originally discussed Inverse Variatio...
Algebra II 8.7C, JOINT QUADRATIC Variation
We discussed Joint Variation back in vid...
Algebra II 8.7D, QUADRATIC Variation & Proportion
Solving problems involving Quadratic Var...
Algebra II 8.8, Word Problem Strategy, Logical Reasoning, Logic Puzzle
Solving a logic problem by using logical...
Algebra II 9.1A, Symmetry with Respect to a Line
An explanation of symmetry and how two p...
Algebra II 9.1B, Symmetry with X and Y axis & Theorems
An explanation of how a figure has symme...
Algebra II 9.1C, Symmetry with Respect to the Origin
An explanation of how a figure has symme...
Algebra II 9.1D, Determine EVEN or ODD Functions
An explanation of how to determine if a ...
Algebra II 9.2A, Vertical Translations & Theorem
An explanation of translations on a plan...
Algebra II 9.2B, Horizontal Translations & Absolute Value
An explanation of graphs with horizontal...
Algebra II 9.3A, Vertical stretching and shrinking of graph & Theorem
An explanation of how a graph can be str...
Algebra II 9.3B, Horizontal Stretch & Shrink of graph & Theorem
An explanation of how a graph can stretc...
Algebra II 9.4, Graph f(x) = ax² and f(x)=a(x-h)²
An explanation of how to graph f (x)=ax²...
Algebra II 9.5A, Graphs of f(x)= a(x-h)² +k, Guidelines for graphing Quadratic Functions
An explanation of how to graph f(x)=a(x-...
Algebra II 9.5B, Analyze f(x)=a(x-h)²+k without graphing
An explanation of how to determine the c...
Algebra II 9.6A, Standard Form for QUADRATIC FUNCTIONS
An explanation of the standard form of a...
Algebra II 9.6B, Maximum or Minimum value word problems, Quadratic Functions
An explanation of how to solve word prob...
Algebra II 9.6C, Maximum or Minimum product of 2 numbers, Quadratic Functions
Solving quadratic functions for maximum ...
Algebra II 9.7A, How many x-intercepts of vertical parabola, find with discriminant
How to find the x-intercepts of a vertic...
Algebra II 9.7B, Find x-intercept points from Quadratic Formula
How to find the x-intercepts (if they ex...
Algebra II 9.8A, Quadratic Functions from graph or 3 data points
We can find a quadratic function that fi...
Algebra II 9.8B, Word Problems involving Quadratic Functions, Pizza price
Sometimes, problems generate nonlinear d...
Algebra II 9.8C, Maximum height of a Projectile by Completing the Square
How to find the maximum height (vertex) ...
Algebra II 10.1A, Distance Formula & any two points on the plane & Theorem
Proving the theorem of the distance form...
Algebra II 10.1B, Midpoints of Segments & Theorem
How to find the coordinates of the midpo...
Algebra II 10.2A, Introducing Conic Sections
An introduction to the sections of a con...
Algebra II 10.2B, Equations of Circles & 2 Theorems
We can find the equation of a circle if ...
Algebra II 10.2C, Find Circle center and Radius from equation
We can find the coordinates of the cente...
Algebra II 10.2D, Find Circle center and Radius by Completing the Square
We can find the coordinates and the radi...
Algebra II 10.2E, Unit Circle, x²+y²=1, Radius = 1
A unit circle is a circle whose radius i...
Algebra II 10.3A, Introducing Ellipses, Foci, Center, Axis, Vertex
An introduction to the ellipse and it's ...
Algebra II 10.3B, Equations of Ellipses & Theorem
An explanation of the equations of an el...
Algebra II 10.3C, Graph Ellipse by Completing the Square & Theorem
An explanation of how to graph an ellips...
Algebra II 10.3D, Introducing Eccentricity e
An explanation of e, eccentricity, it's ...
Algebra II 10.4A, Introducing Hyperbolas & Theorem
The definition and examples of hyperbola...
Algebra II 10.4B, What are Asymptotes
Asymptotes are invisible lines that guid...
Algebra II 10.4C, Equations of Hyperbolas with center as Origin
Finding the vertices, foci, asymptotes a...
Find Horizontal Asymptotes of Rational Functions
An explanation of how to find the horizo...
Find Vertical Asymptotes of Rational Functions
The equations of vertical asymptotes app...
Find Oblique (slanted) Asymptotes of Rational Functions
An explanation of how to find oblique as...
Algebra II 10.4D, Graph Hyperbolas by Completing the Square & Theorem
An explanation of how to graph hyperbola...
Algebra II 10.4E, Graph Asymptotes on Coordinate Axes & Theorem
An explanation of how to graph Asymptote...
Algebra II 10.5A, Find Parabola Vertex, focus, directrix, then graph & 3 Theorems
An explanation and definition of a parab...
Algebra II 10.5B, Parabola - Complete the Square for Vertex, Focus, Directrix
An explanation and Theorem of how to com...
Algebra II 10.5C, Find Equations of Parabola from given data & Theorem
An explanation of how to find the equati...
Algebra II 10.6A, Recognize equations of Conic Sections
An explanation of how to recognize equat...
Algebra II 10.6B, Find 2nd degree Equations from Graphs
How to find 2nd degree equations from gr...
Algebra II 10.6C, Solve 2nd degree Systems Graphically
How to solve a system of equations in wh...
Algebra II 10.7A, Solve 1st and 2nd degree System of Equations Algebraically
An explanation of how to solve a system ...
Algebra II 10.7B, Solve 2nd degree Systems Algebraically
An explanation of how to solve a System ...
Algebra II 10.8, Word Problems that translate into 2nd degree Equations
An explanation of how to write and solve...
Algebra II 10.9, Reasoning Strategy, Simplify the problem, Exponential squares
How to find the amount of squares in a f...
Algebra II 11.1A, Roots and Zeros of Equations & Functions
An explanation and examples of how to de...
Algebra II 11.1B, Polynomial Factors & Long Division or Synthetic Division
An explanation and examples of how to de...
Algebra II 11.2A, Synthetic Division & Remainder Theorem to find P(r)
An explanation of how to use Synthetic D...
Algebra II 11.2B, A Given Number as the Root of P(x)
A review of the Remainder Theorem from t...
Algebra II 11.2C, Find Factors of Polynomials with Synthetic Division
An explanation of how to find the factor...
Algebra II 11.3A, Roots and Multiplicity of a Polynomial & Theorems
An explanation of how to find the roots ...
Algebra II 11.3B, Complex and Irrational Roots of a Polynomial & Theorems
An introduction to polynomials that have...
Algebra II 11.3C, Find Polynomials with Specific Roots
An explanation of how to find and write ...
Algebra II 11.4A, Finding Roots & the Rational Roots Theorem
An explanation and examples of how to fi...
Algebra II 11.4B, Synthetic Division Shorthand,
An explanation and examples of how to pe...
Algebra II 11.5A, Descartes' Rule of Signs & Positive Roots
An explanation of how to use Descartes R...
Algebra II 11.5B, Descartes' Rule of Signs and Negative Roots & Theorem
An explanation of how to find the negati...
Algebra II 11.6A, Graphs of Higher Degree Polynomial Functions, Cubic & Quartic
An introduction to Cubic (third degree) ...
Algebra II 11.6B, Graph Polynomial Functions, Cubic & Quartic
An explanation of how to graph polynomia...
Algebra II 11.6C, Polynomial equations, Graph to Approximate Solutions
How to graph polynomial equations to app...
Algebra II, 11.7, Word Problem Strategy, Work Backwards
An explanation of how to solve word prob...
Algebra II 12.1A, Inverses of Relations & Theorem
An explanation of how interchanging the ...
Algebra II 12.1B, Inverses and Symmetry
An explanation of how interchanging the ...
Algebra II 12.1C, Inverses of Functions & Theorem
An explanation of how to find the invers...
Algebra II 12.2A, Graph Exponential Functions base a
An explanation of how to graph an expone...
Algebra II 12.2B, Graph Logarithmic Functions
An explanation of how to graph log funct...
Algebra II 12.3A, Convert Exponential & Logarithmic Functions
An explanation of how to convert between...
Algebra II 12.3B, Solve Logarithmic equations
An explanation of how to solve equations...
Algebra II 12.3c, Simplify inverse log functions & Theorem
An explanation of how to simplify an inv...
Algebra II 12.4a, Logarithm of a Product Property & Theorem
An explanation of the Theorem (or Proper...
Algebra II 12.4b, Logarithm of a Power Property & Theorem
An explanation of the Theorem (or proper...
Algebra II 12.4c, Logarithm of a Quotient Property & Theorem
An explanation of the Theorem (or Proper...
Algebra II 12.4d, Properties of Log of 1 & Log of the base
An explanation of the Properties of Log ...
Algebra II 12.5a, Find Common Logarithm with a Calculator
An explanation of base 10, Common Logari...
Algebra II 12.5b, Common Logarithm Table, Scientific Notation, Characteristic & Mantissa
An explanation of how to find a log on a...
Algebra II 12.5c, Find Antilogrithms with a Calculator or Table
An explanation of how to find Antilogari...
Algebra II 12.6a, Find Common Logarithms using Table and Linear Interpolation
An explanation of how to find Common Log...
Algebra II 12.6b, Find Antilogarithms using Table and Linear Interpolation
An explanation of how to find antilogari...
Algebra II 12.7a, Solve Exponential Equations, variables as exponents
An explanation of how to solve equations...
Algebra II 12.7b, Solve Logarithmic Equations
An explanation of how to solve logarithm...
Algebra II 12.7c, Word Problems, Exponential & Logarithmic equations & Formulas
An explanation of how to solve word prob...
Algebra II 12.8a, Exponential functions & Natural Logarithms, base e
An explanation of the exponential functi...
Algebra II 12.8b, Find Natural Logarithms with Table or Calculator, graph y=e^x
How to find natural logarithms with a ta...
Algebra II 12.8c, Word Problems involving Natural Logarithms
An explanation of how to solve word prob...
Algebra II 12.8d, Change of Base, Common & Natural Logarithm tables
An explanation of the Change of Base for...
Algebra II 13.1a, Dimensions of a Matrix, Columns & Rows
An explanation of the dimensions of a Ma...
Algebra II 13.1b, Solve Systems of Equations using Matrices
How to solve a system of linear equation...
Algebra II 13.2a, Matrix Addition and Zero Matrices
How to add matrices by adding the corres...
Algebra II 13.2b, Subtract Matrices, Find Additive Inverses
An explanation of how to subtract one ma...
Algebra II 13.3a, Determinants of 2X2 Matrices
An explanation of how square matrices ha...
Algebra II 13.3b, Cramer's Rule for 2 Equations in 2 Variables
An explanation of how to use Cramer's ru...
Algebra II 13.3c, Determinants of 3X3 Matrices
An explanation of how to find the determ...
Algebra II 13.3d, Cramer's Rule for 3 equations in 3 variables
An explanation of how to use Cramer's ru...
Algebra II 13.4a, Scalar Products and Multiplying Matrices & Theorem
An explanation of scalar products and ho...
Algebra II 13.4b, Addition & Subtraction with Scalar products
An explanation of how to add and subtrac...
Algebra II 13.4c, Write equivalent Matrix equations & System of equations
How to write a matrix equation that is e...
Algebra II 13.4d, Properties of Matrices and Real Numbers
All the Properties of Matrices, Commutat...
Algebra II 13.5a, Identity Matrix & Multiplicative Inverse, a^-1
An explanation of identity matrices and ...
Algebra II 13.5b, Inverse of a 2X2 Matrix & Theorem
How we can find the inverse of ANY 2X2 m...
Algebra II 13.6a, Calculate the Inverse of a Square Matrix
How to find the inverse of a square matr...
Algebra II 13.6b, Solve Systems with Inverse of a Matrix
How we can use the inverse of a square m...
Algebra II 13.6C, Dividing matrices by using inverses
How to solve a matrix division problem b...
Algebra II 13.7a, Translate Profit word problem to Matrices
An explanation of how we can solve a wor...
Algebra II 13.7b, Translate a Currency word problem to Matrices
How to solve a word problem directly by ...
Algebra II 14.1a, Sequences & General terms
An explanation of Sequences, Infinite Se...
Algebra II 14.1b, Finding General Terms of sequences (nth terms)
How to find the General Term (nth term) ...
Algebra II 14.1c, Series (partial sums of sequences)
An explanation of Partial Sums, the defi...
Algebra II 14.1D, Sigma notation Σ (summation notation)
An explanation of the use of the Greek l...
Algebra II 14.2a, Arithmetic sequences (find 1st term & d)
An explanation of how to find the first ...
Algebra II 14.2b, Nth term (of an arithmetic sequence)
How to find the nth term of an Arithmeti...
Algebra II 14.2c, Constructing Arithmetic Sequences (and find arithmetic means)
How to build Arithmetic Sequences if giv...
Algebra II 14.2d, Arithmetic series (find partial sums)
How to find Partial Sums of Arithmetic S...
Algebra II 14.3a, Geometric Sequences (find common ratio)
An explanation of Geometric Sequences, c...
Algebra II 14.3b, Nth term of a Geometric Sequence
How to solve problems involving the nth ...
Algebra II 14.3c, Partial sums of a Geometric Series (and a riddle)
How to find Partial Sums of a geometric ...
Algebra II 14.4a, Convergent Geometric Series (is there a sum?)
An explanation of Convergent Geometric S...
Algebra II 14.4b, Finding sums of infinite geometric series
How we can find the sum of an infinite g...
Algebra II 14.5, Proving mathematical statements (Mathematical Induction)
How to use the Principle of Mathematical...
Algebra II 14.6, Combine strategies (non-routine sequence & series problems)
How to use many strategies to solve a no...
Algebra II 15.1c, Factorial Notation
An explanation of Factorial Notation, us...
Algebra II 15.1d, nPr as Permutations of n objects taken r at a time
An explanation of Permutations of a set ...
Algebra II 15.2a, Permutations & repeated use of the same object (repetition)
An explanation of Permutations and repet...
Algebra II 15.2b, Permutations with identical objects
How to find permutations of a set of obj...
Algebra II 15.2c, Circular Permutations
How to solve a circular permutation, a t...
Algebra II 15.3a, Combinations, Selecting elements of a set, nCr or C(n,r)
How Combinations aren't concerned with o...
Algebra II 15.3b, Combinations, Solve for n
How to read nCr, a review of the theorem...
Algebra II 15.4a, Binomial Theorem & Pascal's Triangle
An explanation of Pascal's Triangle, how...
Algebra II 15.4b, Find the rth term of the binomial expansion of (a+b)ⁿ
A step-by-step explanation of how to fin...
Algebra II 15.4c, Binomial expansion (expand powers of binomials)
How we can use the Binomial Theorem to e...
Algebra II 15.4d, Subsets of a finite set
How and why we can determine the number ...
Algebra II 15.5, Computing Probability & Theorem
An explanation of how to compute probabi...
Algebra II 15.6a, Intersections & Unions & Compound Probability
An explanation of the intersection of se...
Algebra II 15.6b, Adding Probabilities
How to find the probability if one event...
Algebra II 15.6c, Multiplying Probabilities
How to find the probability that one eve...
Algebra II 15.6d, Complement of an event & notation
An explanation of the "complement of an ...
Algebra II 15.7a, Simulations and Probability
An explanation of theoretical probabilit...
Algebra II 15.7b, Using a random number table to simulate an event
How to use a random number table to gene...
Algebra II 15.7c, Extension: Binomial Probability
How to find the probability of r success...