Understanding Algebra
This section is about understanding all of the aspects of Algebra, below you will find resources such as videos and worksheets that will help you better understand all of the topics and concepts in your typical Algebra class
Algebra 1
Algebra 1 deals mostly with linear math. In Algebra 1, we do simple equations and graph simple lines. Towards the end, we look at laws of exponents before transitioning over to Algebra II
Unit #1: Basic Equations
In this unit, we look at deciphering words into basic equations and solving them
Topic #1: Combining Like Terms and Simplifying Expressions
In this section, we look at different variables and expressions and bring them to their simplest form
Topic #2: Distributive Property
In this section, we look at how to perform distributive property on different expression
Topic #3: Writing an Expression from a sentence
In this section, we look at the words in the sentence and translate into a mathematical expression
Topic #4: Solving One-Step Equations
In this section, we look at how to solve one-step basic equations
Topic #5: Solving Two-Step Equations
In this section, we look at how to solve more complicated equations requiring more than one step
Topic #6: Solving Equations with Fractions
In this section, we look at how to solve equations that contain multiple fractions
Topic #7: Solving Equations with Multiple X's on one side
In this section, we look at how to solve equations with multiple x's on one side of the equation
Topic #8: Solving Equations with Variables on both sides
In this section, we look at how to solve equations with variables on both sides of the equation
Topic #9: Solving Equations with Distributive Properties
In this section, we look at how to solve an equation with distributive property
Topic #10: Solving Word Problems
In this section, we learn how to translate word problems into equations to solve
Topic #11: Solving Proportional Equations
In this section, we learn how to solve equations that are in ratio to each other
Topic #12: Percent Equations and Word Problems
In this section, we learn how to solve equations and word problems from percent
Topic #13: Using Proportions to Convert Measurements
In this section, we look at how to convert measurements using proportions
Topic #14: Literal Equations
In this section, we look at how to manipulate equations and formulas for different variables
Topic #15: Weighted Averages and Mixture Problems
In this section, we will look at mixture problems and how to solve them
Unit #2: Graphing Basics
Here, we look at all of the different aspects of basic graphing. We will look at the different aspect of linear graph in the coordinate plane
Topic #16: The Coordinate Plane
In this section, we will learn what it takes to graph a point on a coordinate plane
Topic #17: Relations
In this section, we will look at what it means to be a relation and how to display a relation in multiple forms
Topic #18: Functions
In this section, we will learn what relations become functions and how to use function notation
Topic #19: Equations in Two Variables and Graphing Lines From Points
In this section, we will look at how to find points from an equation and graph a line on coordinate plane
Topic #20: Finding x and y intercepts
In this section, we will learn how to find the x and y intercept of a linear equations
Topic #21: Finding the Slope of a line
In this section, we will determine how to find the slope of a line between two points
Topic #22: Find the Equation of the Line Using a Slope and a Point
In this section, we will determine how to find the equation of the line using either two points or a slope and point
Topic #23: Graphing a line using the slope and a y-intercept
In this section, we will use the slope and y-intercept to graph a line by hand
Topic #24: Converting From Slope-Intercept Form to Standard Form and vice versa
In this section, we learn how to convert between the two forms
Topic #25: Point-Slope Form
In this section, we learn what point-slope form and how to convert it to slope-intercept form
Topic #26: Finding a Parallel Line to Another Line
In this section, we determine how to find the equation of a line that is parallel to another line
Topic #27: Finding a Perpendicular Line to Another Line
In this section, we determine the equations of the line perpendicular to another line
Unit #3: Linear Inequalities
In this unit, we work on finding the solution to different sets of equations by various methods
Topic #28: Solving a Linear Inequality in one variable
In this section, we look at how to solve a linear inequality and graph the solution set
Topic #29: Set Notation
In this section, we will look at how to represent a solution set of an inequality using set notation
Topic #30: Graphing a Linear Inequality in Two Variables
In this section, we look at graphing a linear inequality on a coordinate plane
Topic #31: Absolute Value Equations
In this section, we will look at what an absolute value is and how to solve absolute value equations
Topic #32: Compound Inequalities
In this section, we look at more complicated inequalities
Topic #33: Absolute Value Inequalities
In this section, we look at both types of absolute value inequalities
Topic #34: Graphing Absolute Value Equations in Two Variables
In this section, we look at how to graph and absolute value equation on a coordinate grid
Topic #35: Graphing Absolute Value Inequalities in Two Variables
In this section, we will look at how to graph an absolute value inequality on a coordinate plane
Topic #36: Linear Inequality Word Problems
In this section, we look at some key word that indicate inequalities in word problems
Unit #4 Systems of Equation and Inequalites
In this unit, we learn about how to solve sets of two or three equation/inequalities
Topic #37: Solving Systems of Equations: Graphing Method
In this section, we learn how to use graphing to determine the solution to a system of equations
Topic #38: Solving a System of Equations: Substitution Method
In this section, we learn how to find the solution to a system of equation using the substitution method
Topic #39: Solving Systems of Equations: Elimination Method
In this section, we learn how to use elimination method to solve a system of equations
Topic #40: Inconsistent Systems
In this section, we learn about systems that don't have traditional solutions
Topic #41: Solving Systems of Equations from Word Problems
In this section, we learn how to create systems of equations from word problems
Topic #42: System of Inequalities
In this section, we learn how to graph a system of inequalities
Topic #43: System of Linear Inequalities Word Problems
In this section, we learn how to create systems of linear inequalities from word problems
Topic #44: Systems of Equations in Three Variables
In this section, we learn how to solve a system of equations with three variables
Unit #5: Matrices
In this unit, we look at operation on array of numbers
Topic #45: Classifying Matrices
In this section, we learn the proper way to classify a matrix
Topic #46: Adding and Subtracting Matrices
In this section, we learn about how to add and subtract matrices together
Topic #47: Scalar Multiplication for Matrices
In this section, we learn how to do a scalar multiplication on a matrix
Topic #48: Multiplying Matrices
In this section, we learn how to multiply matrices together
Topic #49: Finding a Determinant
In this section, we learn how to find the determinant of a 2x2 and 3x3 matrix
Topic #50: Solving a System of Equations using Cramer's Rule
In this section, we learn how to solve a system of equations with another method
Topic #51: Matrix Identity and Inverses
In this section, we learn what the identity matrix is and how to find an inverse
Topic #52: Solving Systems of Equations with Inverses
In this section, we learn how to solve a system of equations with inverses
Unit #6: Polynomials
In this unit, we begin to look at properties of exponents and operations on what we call polynomials
Topic #53: Laws of Exponents
In this section, we will look at all of the properties of exponents
Topic #54: Scientific Notation
In this section, we will look at how to multiply and divide numbers in scientific notation
Topic #55: Introduction to Polynomials
In this section, we will look at what polynomials are and some basic descriptors
Topic #56: Adding and Subtracting Polynomials
In this section, we will look at how to add and subtract polynomials together
Topic #57: Multiplying Polynomials
In this section, we will learn how to Multiply Polynomials
Topic #58: Special Products
In this section, we will learn how to multiply two things that follow a certain pattern
Topic #59: Dividing Polynomials
In the section, we learn how to divide two polynomials from each other
Topic #60: Synthetic Division
In this section, we will look at how synthetic division looks and it's limitations
Algebra 2
This is really a continuation of Algebra 1, working with more non-linear functions and equations
Unit #7: Factoring
There are several method to factoring polynomials, each pertaining to a different type of polynomial
Topic #61: Greatest Common Factoring
In this section, we look at how to factor out a the greatest thing that is common in a polynomial
Topic #62: Group Factoring
In this section, we factor by placing things into groups
Topic #63: Factoring Trinomial when a = 1
In a section, we factor a trinomial where the number next to x squared is 1
Topic #64: Factoring a Trinomial where a is anything but 1
In a section, we factor a trinomial where the number next to x squared is anything but 1
Topic #65: Special Factoring and Difference of Two Squares
In this section, we look at some special fact
Topic #66: Sum and Difference of Two Cubes
In this section, we will look at factoring polynomials with perfect cubes
Topic #67: Harder Factoring
In this section, we look at factoring polynomials that take several steps to completely factor
Unit #8: Radicals
In this section, we will look at all the operations and concepts involving radicals
Topic #68: Simplifying Square Roots
In this section, we look at how to take square roots that are not perfect square and make them simpler
Topic #69: Simplifying Higher Roots
In this section, we look at higher roots above square roots and simplify them
Topic #70: Adding and Subtracting Roots
In this section, we look at how to add and subtract roots
Topic #71: Multiplying Roots
In this section, we look at how to multiply different roots together in different situations
Topic #72: Rationalizing a Denominator
In this section, we look at how to rationalize a denominator
Topic #73: Real Vs. Complex Numbers
In this section, we look at the difference between real and complex numbers
Topic #74: Operations of Complex Numbers
In this section, we look at the operations that can be performed on complex numbers
Topic #75: Rational Exponents
In this section, we look at what rational exponents are and how to use them
Topic #76: Solving Simple Radical Equations
In this section, we look at solving simple radical equations
Topic #77: Solving Harder Radical Equations
In this section, we will look at solving radical equation that require multiple instances of squaring
Topic #78: Solving Radical Inequalities
In this section, we will determine how to solve radical inequalities
Topic #79: Graphing Radicals
In this section, look at all of the parts of a radical graph on the coordinate plane
Unit #9: Quadratic Equations
In this unit, we look at how to solve equations where the highest power is a square
Topic #80: Solving Quadratics by Square Root Principal
In this section, we look at how to solve quadratic equations with square roots
Topic #81: Solving Quadratics by Factoring
In this section, we learn how to use factoring to solve Quadratics
Topic #82: Solving Quadratics by Completing the Square
In this section, we look at how to solve a quadratic by Completing the Square
Topic #83: Solving Quadratics by Quadratic Formula
In this section, we will determine how to use quadratic formula to solve quadratics
Topic #84: Graphing Quadratics
In this section, we look at how to properly graph a quadratic and find the vertex of a quadratic
Topic #85: Vertex Form
In this section, we look at how to change a quadratic in vertex form and back
Topic #86: Find the Equation of a Quadratic Using Different Point
In this section, we look at how to generate quadratic Equations from different points
Topic #87: Transformations
In this section, we look at how different parts of quadratic affect the graph itself
Topic #88: Quadratic Inequalities
In this section, we look at how to properly find an inequality in a quadratic
Unit #10: Zeros and Parts of Functions
In this section, we look at the different aspects of polynomials and their graphs
Topic #89: What is a Function?
In this section we will look at what determines a function and how to determine if something is a function
Topic #90: End Behavior
In this section we will look at how end behavior is found by looking at different aspects of a polynomial
Topic #91: Increasing and Decreasing Intervals
In this section we will look at when a polynomial function is increasing and decreasing
Topic# 92: Domain and Range
In this section we will look at how to determine the Domain and Range of each polynomial function
Topic #93: Zeroes and Graphing
In this section, we will look at zeros and how they help us graph a function
Topic #94: Function Notation
In this section, we will look at the function notation and how to use it
Topic #95: Function Operations
In this section, we will look at the four basic operations of a function
Topic #96: Composite Functions
In this section we will look at composite functions
Topic #97: Inverse Functions
In this section, we will look at how to determine the inverse of a function
Topic #98: Solving Polynomials with Quadratic Techniques
In this section, we will learn to apply quadratic techniques to some polynomials
Topic #99: Remainder and Factor Theorems
In this section, we will look at two important theorems with polynomials
Topic #100: Finding Zeroes from a Polynomial Function
In this section we will look at how to determine the different types of zeros in a function
Topic #101: Piece-Wise Functions
In this section, we will look at how to put together different types of Piece-Wise Functions
Topic #102: Step Functions
In this section, we will look at the different aspects of step functions
Unit #11: Rational Expression and Equations
In this unit, we look at different aspects of rational expression and Equations which are variables within fractions
Topic #103: Simplifying Rational Expressions
In this section, we will look at how to simplify a rational expression
Topic #104: Multiplying Rational Expressions
In this section, we will look at how to multiply a rational expression
Topic #105: Dividing Rational Expressions
In this section, we will look at how to divide a rational expression
Topic #106: Adding and Subtracting Rational Expressions
In this section we will look at how to add and subtract rational expressions
Topic #107: Complex Rational Expressions
In this section, we will look at how to simplify complex rational expressions
Topic #108: Solving Rational Equations
In this section, we will learn how to solve different types of rational equations
Topic #109: Domain and Range of a Rational Function
In this section, we will find the domain and range of a rational function
Topic #110: Asymptotes of a Rational Function
In this section we will look at how to find the different asymptotes of a rational function
Topic #111: Intercepts of a Rational Function
In this section, we will look a how to find the different intercepts of a rational function
Topic #112: Holes of a Rational Function
In this section, we will determine if there is a hole in the rational function
Topic #113: Graphing a Rational Function
In this section, we will learn how to take all of the previous things that we learned and graph a rational function
Topic #114: Variation
In this section, we will learn about all the different forms of variation
Unit #12: Exponential and Logarithmic Expression and Equations
In this unit, we will look at the different aspects of exponential and logarithmic expressions
Topic #115: Graphing and Evaluating Exponential Functions
In this section, we will look at all the aspects of exponential graphs, including when something is growth and when something is decay
Topic #116: Solving Exponential Equations
In this section, we will learn the different methods to solving an exponential equation
Topic #117: Logarithms and Logarithmic Equations
In this section, we will learn what a logarithm is and how to solve equations with them
Topic #118: Properties of Logarithms
In this section, we will learn about all the different properties of logarithms
Topic #119: Base e and Natural Logarithms
In this section, we will learn about a special type of exponential and logarithm
Topic #120: Exponential/Logarithm Word Problems
In this section, we will look at all the different types of exponential and logarithm word problems
Unit #13: Conic Sections
In this unit, we will look at different aspects of conic sections
Topic #121: Midpoint and Distance Formula
In this section, we will look at two important formulas and how to use them
Topic #122: Circles
In this section, we will look at everything that has to do with Circles in the Coordinate Plane
Topic #123: Parabolas
In this section, we will look at everything that has to do with Parabolas in the Coordinate Plane
Topic #124: Ellipses
In this section, we will look at everything that has to do with Ellipses in the Coordinate Plane
Topic #125: Hyperbola
In this section, we will look at everything that has to do with Hyperbola in the Coordinate Plane
Topic #126: Standard Equations of Conic Sections
In this section, we will look at what each conic looks like in standard form
Topic #127: Solving Quadratic Systems
In this section, we will look at how to solve system of equations that aren't linear
Unit 14: Arithmetic and Geometric Sequence and Series
In this final unit, we will look at the different sequences and series in Algebra
Topic #128: Arithemetic Sequences
In this section, we will look at what makes something an arithmetic sequence
Topic #129: Arithmetic Series
In this section, we will look at the sum of a certain set of elements in an arithmetic sequence
Topic #130: Geometric Sequences
In this section, we will look at what makes something a geometric sequence
Topic #131: Geometric Series
In this section, we will look at the sum of certain set of elements in a geometric sequence
Topic #132: Infinite Geometric Series
In this section, we will look at how to find the sum of an infinite geometric series
Topic #133: Recursive and Special Sequences
In this section, we will look at how to create recursive formulas, and special sequences
Topic #134: Binomial Theorem
In this section, we will look at how the Binomial Theorem works