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ALGEBRA 1

Here is every single unit and lesson for Algebra 1! Hope you have fun on your quest to learn. 

UNIT 1: FOUNDATIONS OF FUNCTIONS

INTRODUCTION TO DOMAIN AND RANGE

This video covers domain and range for discrete functions, and details what domain and range are in terms of functions. 

DOMAIN AND RANGE FOR CONTINUOUS FUNCTIONS

This video reinforces the previous video and goes into depth on domain and range for continuous functions

FUNCTION IDENTIFICATION

Want to know how to determine if a graph, table, or map is a function? This video covers it all, and details the vertical line test. 

FUNCTION NOTATION

What is f(x), g(x), f(2)? What is k(i)? What does all that mean? This video explains function notation and how we can solve them using the rules. 

CONTINUOUS VERSUS DISCRETE

How do you differentiate a discrete relationship from a continuous relationship? This video answers this question and covers functions once more. 

INDEPENDENT AND DEPENDENT VARIABLES

What does it mean for a variable to be independent? Dependent? How does that work in terms of functions and real-world examples? You'll find out through this video. 

UNIT 2: EQUATIONS AND INEQUALITIES WITH ONE VARIABLE

THE DISTRIBUTIVE PROPERTY

What on EARTH does 2(x+4) equal? This video covers how we use the distributive property to uncover that. 

SIMPLIFYING EXPRESSIONS

What on EARTH does 2(x+8) + 8x - 16 get? How do I simplify? This video expands on the previous video in terms of simplification after utilization of the distributive property. 

SOLVING ALGEBRAIC EQUATIONS: EVERY NOOK AND CRANNY

SINGLE step problems; multi-step problems; variables on both sides! This video covers all the nuances of solving equations so that, yes, you can solve a complex equation using algebra. 

SPECIAL CASES: INFINITE SOLUTIONS, NO SOLUTIONS, ONE SOLUTION

How do you know if an equation only has 1 solution? How do you know if there are infinite or no solutions? This video covers that idea and more. 

WRITING AND SOLVING EQUATIONS FOR WORD PROBLEMS

This video covers all about how to solve a complex word problem - a real world scenario. How can we use algebra to create equations and then solve them? From word problems? This video covers ALL of that. 

SOLVING INEQUALITIES

How do I solve an equation with < or > or another variant? What happens if I divide by a negative number on both sides? What happens if I multiply by a negative number on both sides of the inequality? This video answers these questions and more. 

WRITING SO THAT Y IS A FUNCTION OF X

How do I turn y - 2 = 5(x-1) into y = mx + b form? This video answers this question and more. 

UNIT 3: Intro to Linear Equations in 2 variables

FINDING THE SLOPE FROM A GRAPH

What is slope? How do I find the slope from a random line graphed on the coordinate plane? This video answers these questions

FINDING THE SLOPE AND Y-INTERCEPT

Do YOU know how to IDENTIFY the slope and y-intercept from y = mx + b? This video covers how to do that and more. 

GRAPHING FROM SLOPE-INTERCEPT FORM

When given y = mx + b, do you know how to graph this on a coordinate plane? This video will show you how. 

X AND Y INTERCEPTS

When given ax + by = c; how do you know what the x and y intercepts are? What is an intercept? Can you find intercepts from y = mx + b? Learn from this video. 

GRAPHING FROM STANDARD FORM

How can you graph from standard form: ie, ax + by = c? What on earth is standard form? This video will answer that.  

WRITING EQUATIONS FROM TABLES

When given a table can you find a linear equation and give it in the slope-intercept form? What is the difference between point-slope form, standard form, and slope-intercept form? What does it mean for lines to be parallel and how can we find the equation given a parallel line and a point? This video WILL help you answer these questions and solidify your understanding of this unit. 

UNIT 4: LINEAR EQUATIONS AND INEQUALITIES IN 2 VARIABLES

THE SLOPE FORMULA

What is the slope formula? How can I calculate slope? Is y2 - y1 / x2 - x1 the only way to calculate slope? These questions are answered here. 

WRITING EQUATIONS IN SLOPE-INTERCEPT FORM

You are given points and a slope; how do you write an equation this? You are given two mere points in a coordinate plane - now how do you write an equation in y = mx + b form? Learn how here. 

WRITING EQUATIONS IN POINT-SLOPE FORM

What is y - y1 = m(x - x1)? How do you write equations in this form instead of y = mx + b form? Learn how in this video. 

GRAPHING FROM POINT-SLOPE FORM

You are given an equation in the y - y1 = m(x - x1) form. How do you graph from this form? What is the y1 and x1? These questions are answered in this video. 

GRAPHING HORIZONTAL AND VERTICAL LINES

How do you graph y = 4; or x = 3? How do you know if it is a vertical line or horizontal line? Learn how in this video. 

WRITING EQUATIONS OF HORIZONTAL AND VERTICAL LINES

You are given a graph, and you have to write an equation - the graph is vertically drawn or horizontally drawn. How do you know if it is y = 3 or if it is x = 3? Learn how here. 

PARALLEL AND PERPENDICULAR LINES

Did you know that parallel lines have the exact same slopes? Or that perpendicular lines have -1/m slopes? How do you form equations from the parallel and perpendicular lines? Learn how in this video. 

GRAPHING INEQUALITIES

How do you graph y > 2x + 3? How do you differentiate between graphing something greater than or equal to versus something just greater than? Here, these questions are answered. 

LINEAR TRANSFORMATIONS

Did you know that x^2 + 4 is a translation up 4 units? Or that 2x^2 is a vertical stretch? Or that -1/5x^2 is a reflection over the x-axis AND a vertical compression? Here, we teach all these concepts and more. 

UNIT 5: SYSTEMS OF EQUATIONS

GRAPHING: A WAY FOR SOLVING SYSTEMS OF EQUATIONS

You are given two lines: y = 4x - 5 and 2x + y = 7. How do you find the solution pair, that is the x and y coordinate in which the two lines INTERSECT? How would you solve using GRAPHING? Learn how here. 

SUBSTITUTION: A WAY FOR SOLVING SYSTEMS OF EQUATIONS

You are given two lines - how would you solve in a way that would get you the solution pair by using substitution? Did you know that this method involves the transitive property? How would you solve using substitution when given equations in standard form? Learn how here. 

ELIMINATION: A WAY FOR SOLVING SYSTEMS OF EQUATIONS

You have two lines in standard form: 2x - 5y = 8 and 4x - 11y = 9. Now, here the easiest way to solve is by elimination. The thing is, how? And how do you cancel out a variable to solve for one? And how do you find the coordinate pair solution, that is the intersection of the two lines without graphing OR substituting? Learn how here. 

SYSTEMS WORD PROBLEMS

How do you apply what we just learned to solve real-world problems that involve systems of equations? How do you know which method to use? Do you remember the methods? Learn how here. 

GRAPHING SYSTEMS OF INEQUALITIES

Remember in the previous unit where we covered how to graph ONE inequality - how would we graph TWO inequalities? Where would we shade? How do we know if the lines are dotted or solid? How do we graph an overall system? Learn how here. 

UNIT 6: POLYNOMIALS: COMING SOON

MULTIPLYING AND DIVIDING MONOMIALS

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RADICALS AND RATIONAL EXPONENTS

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ADDING AND SUBTRACTING POLYNOMIALS

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MULTIPLYING POLYNOMIALS

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SPECIAL PRODUCTS

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SIMPLIFYING RADICAL EXPRESSIONS

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ADDING AND SUBTRACTING RADICAL EXPRESSIONS

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MULTIPLYING RADICAL EXPRESSIONS

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FACTORING BY GROUPING

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FACTORING TRINOMIALS PART 1

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FACTORING TRINOMIALS PART 2

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DIFFERENCE OF SQUARES AND PERFECT SQUARE TRINOMIALS

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UNIT 7: QUADRATICS: COMING SOON

Grab interest

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Generate excitement

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Close the deal

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