Understanding the multiplication properties of 0 and -1 are fundamental building blocks in learning all there is to know about the operation of multiplication. In this tutorial, you'll learn about these two important properties.
Inverse properties of addition and multiplication got you stumped? This tutorial should help! Check it out and learn these two important inverse properties.
Finding the absolute value of a number is a breeze when you use a number line! Remember, absolute value is the distance from zero on the number line. This tutorial shows you how to use a number line to find absolute value.
Got a negative variable in an equation? Want to get rid of that negative sign? This tutorial shows you how by using the multiplication property of -1!
Trying to solve an equation where you see the same variable more than once? Figure out how to get those variables together and solve the equation with this tutorial!
Trying to solve an equation involving a fraction? Just multiply the fraction away and then perform the order of operations in reverse! See how in this tutorial.
Trying to solve an equation involving a fraction? Just multiply the fraction away by multiplying by the reciprocal and then perform the order of operations in reverse! See how in this tutorial.
Trying to solve an equation with variables on both sides of the equation? Figure out how to get those variables together and solve the equation with this tutorial!
Trying to solve an equation with variables on both sides of the equation? Figure out how to get those variables together and solve the equation with this tutorial! Surprise! Turns out, this equation has no solution. Check out this tutorial and see why!
Trying to solve an equation with variables on both sides of the equal sign and grouping symbols? Watch this tutorial to figure out how remove the grouping symbols and get those variables together to solve the equation.
Got a negative variable in an equation? Want to get rid of that negative sign? This tutorial shows you how by using the multiplication property of -1!
Trying to solve an equation for a variable? Are grouping symbols in the way? Watch this tutorial to figure out how remove the grouping symbols and solve the equation!
Identity equations are equations that are true no matter what value is plugged in for the variable. If you simplify an identity equation, you'll ALWAYS get a true statement. Learn about identity equations in this tutorial, and then create your own identity equation. Get creative! The possibilities are endless!
Sometimes equations have no solution. This means that no matter what value is plugged in for the variable, you will ALWAYS get a contradiction. Watch this tutorial and learn what it takes for an equation to have no solution.
So you're working on a math problem and you have the correct formula. Great! But the variable you need to solve for is not by itself in the formula. Not so great. Don't worry! In this tutorial, you'll learn how to solve a formula for the variable you want!
Trying to solve a compound inequality? No problem! This tutorial will take you through the process of splitting the compound inequality into two inequalities. Then you'll see how to solve those inequalities, write the answer in set builder notation, and graph the solution on a number line.
Word problems allow you to see math in action! This tutorial deals with turning a word problem into a compound inequality and solving that compound inequality to get the answer. Learn how in this tutorial!
Want to write an equation to translate the graph of an absolute value equation? This tutorial takes you through that process step-by-step! Take an absolute value equation and perform a vertical and horizontal translation to create a new equation. Watch it all in this tutorial.
Graphing an absolute value equation can be complicated, unless you know how to dissect the equation to find and use the slope and translations. Follow along as this tutorial shows you how to identify the necessary parts of the equation and use them to graph the absolute value equation.
And identity inequality is an inequality that it true no matter what values we plug in for the variable. Watch this tutorial and learn all about identity inequalities. Then see if you can make your own identity inequality complete with variables!
Can an inequality have no solution? You bet it can! An inequality has no solution will always give you a contradiction, no matter what value you plug in for the variable. Watch this tutorial, and then try to make your own inequality with no solution!
When you're learning about translating absolute value equations, learning about vertical translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation vertically.
When you're learning about translating absolute value equations, learning about horizontal translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation horizontally.
An absolute value function is just a function that contains absolute values. This tutorial gives a great introduction to this very useful function!
Graphing an exponential function? No sweat! Create a table of values to give you ordered pairs. Then, plot those ordered pair on a coordinate plane and connect the points to make your graph! Follow along with this tutorial as it shows you all the steps.
Take a look at how you identify exponential behavior from a pattern in your data. You'll also see how to figure out if that pattern represents exponential growth or exponential decay. Check it out!
To add polynomials of any size, just group like terms and then combine them together. To see it done step-by-step, watch this tutorial!
Multiplying together two binomials? Not a fan of the FOIL method, or just want to see another way? Check out this tutorial! You'll see how to distribute one binomial into the other in order to find the product. You get the same answer no matter which method you use, so be sure to add this method to your arsenal!
If something increases at a constant rate, you may have exponential growth on your hands. In this tutorial, learn how to turn a word problem into an exponential growth function. Then, solve the function and get the answer!
If something decreases in value at a constant rate, you may have exponential decay on your hands. In this tutorial, learn how to turn a word problem into an exponential decay function. Then, solve the function and get the answer!
Finding the product of two binomials with the same terms and opposite signs? You're finding the product of a sum and a difference! Use the formula for the product of a sum and a difference to quickly find the answer! This tutorial shows you how.
This tutorial shows you how to fully simplify an expression and write the answer without using negative exponents. Follow along and see how you can use the quotient of powers rule to help!
You have a pattern in your sequence. Great! Think it might be an arithmetic or geometric sequence? If the sequence has a common difference, it's arithmetic. If it's got a common ratio, you can bet it's geometric. Practice identifying both of these sequences by watching this tutorial!
Trying to find the value of a certain term in a geometric sequence? Use the formula for finding the nth term in a geometric sequence to write a rule. Then use that rule to find the value of each term you want! This tutorial takes you through it step-by-step.
Word problems let you see math in the real world! This tutorial shows you how to create a table and identify a pattern from the word problem. Then you can see how to create an exponential function from the data and solve the function to get your answer!
When you learn about rule or property, it's best to practice with it. This tutorial takes you through the process of applying product of powers rule to simplify an expression. Check out this tutorial for some great practice!
Being able to use a property or rule can be as important as knowing it. In this tutorial, you'll see how to use the quotient of powers rule to simplify an expression. Take a look!
Multiplying an exponential function by a constant changes the function's graph. Watch the tutorial to find out how!
Got a fraction raised to a power? Learn how to split that exponent and put it in the numerator and denominator of your fraction using the power of a quotient rule. This tutorial shows you how!
Looking at an equation with a variable in the exponent? You have an exponential function! Learn about exponential functions in this tutorial.
Exponential functions often involve the rate of increase or decrease of something. When it's a rate of increase, you have an exponential growth function! Check out these kinds of exponential functions in this tutorial!
Exponential functions often involve the rate of increase or decrease of something. When it's a rate of decrease, you have an exponential decay function! Check out these kinds of exponential functions in this tutorial!
Trying to find the value of a certain term in a geometric sequence? Don't want to go through the terms one-by-one to find the one you want? Use the formula to find the nth term in a geometric sequence! This tutorial shows you how find that formula!
Factoring trinomials can by tricky, but this tutorial can help! Follow along as a trinomial is factored right before your eyes! Then, check your answer by using the FOIL method to multiply the binomials back together and see if you get the original trinomial.
Multiplying fractions made up of monomials is easier than you might think! You can cancel common factors in the numerator and denominator to make things easier to work with. Then just multiply to get your final answer! This tutorial will show you how.
Dividing fractions made up of monomials is easier than you might think! First, turn it into a multiplication problem by multiplying by the reciprocal of the divisor. Then, you can cancel common factors in the numerator and denominator to make things easier to work with. Finally, multiply to get your final answer! This tutorial will show you how.
To multiply a rational expression by a polynomial, just turn that polynomial into a fraction, multiply, and simplify to get your answer! This tutorial shows you that process step-by-step!
Dividing a rational expression by a polynomial is easier than you might think! Follow along as this tutorial takes you through that process step-by-step!
Multiplying rational expressions? Want to cancel common factors out to make things easier to work with? In this tutorial, you'll see how to cancel out common factors in order to find the simplified product of two rational expression. Check it out!
Want some extra practice solving rational equations? This tutorial gives you just that! You'll see how to solve a rational equation containing rational expressions with common denominators. Then, you'll see how to solve an equation containing rational expressions with unlike denominators. Take a look!
Want some extra practice solving rational equations? This tutorial gives you just that! You'll see how to solve a rational equation containing rational expressions with common denominators. Then, you'll see how to solve an equation containing rational expressions with unlike denominators. Take a look!
Want some extra practice solving rational equations? This tutorial gives you just that! Learn how to solve a rational equation containing rational expressions with unlike denominators. Take a look!
Want some extra practice solving rational equations? This tutorial gives you just that! Learn how to solve a rational equation containing rational expressions with unlike denominators. Take a look!
Want some extra practice solving rational equations? This tutorial gives you just that! Learn how to solve a rational equation containing rational expressions with unlike denominators. Take a look!
Simplifying a rational expression? You could factor the numerator and denominator and then cancel like factors. Learn what to do in this tutorial!
Simplifying a rational expression? You could factor the numerator and denominator and then cancel like factors. Learn what to do in this tutorial!
You can use long division to divide a polynomial by a binomial! Want to learn how? Check out this tutorial!
Graphing a rational function can be fun, especially when you make a table of values first! In this tutorial, you'll see how to make a table of ordered pairs that you can use to graph the rational function. Take a look!
Knowing the product rule for inverse variation can be a real time-saver! Want to learn about it? Here's a tutorial that can help!
Every function is a relation, but not every relation is a function! Watch this video to learn how to tell which relations are functions and which are not.
You can't go through algebra without learning about functions. This tutorial shows you the definition of a function and gives you an example of a function. Take a look!
Trying to find the slope of a graphed line? First, identify two points on the line. Then, you could use these points to figure out the slope. In this tutorial, you'll see how to use two points on the line to find the change in 'y' and the change in 'x'. Then, you'll see how to take these values and calculate the slope. Check it out!
Trying to write an equation in slope-intercept form? Have two points on your line? You'll need to find your slope and y-intercept. Watch this tutorial and see what needs to be done to write an equation in slope-intercept form!
Word problems are a great way to see math in the real world! In this tutorial, you'll see how write an equation in slope-intercept form that represents the information given in the word problem. To see how it's done, check out this tutorial!
Want to find the slope-intercept form of a line when you're given a point on that line and another line parallel to that line? Remember, parallel lines have the same slope. If you can find the slope of that parallel line, you'll have the slope of your line! In this tutorial, you'll see how to find the slope of your line and use that slope, along with the given point, to write an equation for the line in slope-intercept form. Take a look!
Want to find the slope-intercept form of a line when you're given a point on that line and another line perpendicular to that line? Remember, perpendicular lines have slopes that are opposite reciprocals of each other. In this tutorial, you'll see how to find the slope using the slope of the perpendicular line. Then, use this slope and the given point to write an equation for the line in slope-intercept form. Check it out!
The midpoint of a line segment is the point midway between the endpoints of the line segment. This tutorial shows you how to take two endpoints and figure out the midpoint of the line segment. Check it out!
When you're looking at a map, you can find the point midway between two locations by calculating the midpoint. This tutorial takes you through the process of finding the point midway between two cities.
Looking for some practice converting the equation of a line into different forms? Then this tutorial was made for you! Follow along as this tutorial shows you how to take a linear equation from standard form and convert it into slope-intercept form and point-slope form.
Looking for some practice converting the equation of a line into different forms? Then this tutorial was made for you! Follow along as this tutorial shows you how to take a linear equation from slope-intercept form and convert it into standard form and point-slope form.
Looking for some practice converting the equation of a line into different forms? Then this tutorial was made for you! Follow along as this tutorial shows you how to take a linear equation from point-slope form and convert it into standard form and slope-intercept form.
Calculating the slope of a line from two given points? Use the slope formula! This tutorial will show you how!
Trying to find the common difference in an arithmetic sequence? You need to figure out what number you need to add to each term to get the next term in the sequence. It's easier than you might think! Watch this tutorial and learn how to find the common difference in an arithmetic sequence.
To find the next few terms in an arithmetic sequence, you first need to find the common difference, the constant amount of change between numbers in an arithmetic sequence. Once you know the common difference, you can use it to find those next terms! This tutorial takes you through that process, so be sure to check it out!
Got an arithmetic sequence? Trying to find a later term in that sequence? Don't want to keep adding the common difference to each term until you get to the one you want? Then use the equation for the nth term in an arithmetic sequence instead! This tutorial will show you how!
The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another. Watch this tutorial to see how to find the constant of variation for a direct variation equation. Take a look!
Looking for some practice with direct variation? Watch this tutorial, and get that practice! This tutorial shows you how to take given information and turn it into a direct variation equation. Then, see how to use that equation to find the value of one of the variables.
Looking for some practice with direct variation? Watch this tutorial, and get that practice! This tutorial shows you how to take a table of values and describe the relation using a direct variation equation.
How do you find the x-coordinate of a point on a line if you have another point and the slope? You'll need to use the slope formula. Watch this tutorial and see how to find this missing coordinate!
Got a bunch of data? Trying to figure out if there is a positive, negative, or no correlation? Draw a scatter plot! This tutorial takes you through the steps of creating a scatter plot, drawing a line-of-fit, and determining the correlation, if any. Take a look!
A line-of-fit is a line that summarizes the trend in a set of data. In this tutorial, you'll see how to graph data on a coordinate plane and draw a line-of-fit for that data. Check it out!
Got a bunch of data? Trying to figure out if there is a positive, negative, or no correlation? Draw a scatter plot! This tutorial takes you through the steps of creating a scatter plot, drawing a line-of-fit, and determining the correlation, if any. Take a look!
Got a bunch of data? Trying to figure out if there is a positive, negative, or no correlation? Draw a scatter plot! This tutorial takes you through the steps of creating a scatter plot, drawing a line-of-fit, and determining the correlation, if any. Take a look!
Trying to find the equation of a vertical line that goes through a given point? Remember that vertical lines only have an 'x' value and no 'y' value. Follow along with this tutorial as you see how use the information given to write the equation of a vertical line.
Trying to find the equation of a horizontal line that goes through a given point? Remember that vertical lines only have a 'y' value and no 'x' value. Follow along with this tutorial as you see how use the information given to write the equation of a horizontal line.
To graph a vertical line that goes through a given point, first plot that point. Then draw a straight line up and down that goes through the point, and you're done! To see this process in action, watch this tutorial!
To graph a horizontal line that goes through a given point, first plot that point. Then draw a straight line left and right that goes through the point, and you're done! To see this process in action, watch this tutorial!
Perpendicular lines have slopes that are opposite reciprocals of each other. To find the slope of a line that is perpendicular to a given equation, find the opposite reciprocal of that slope. Check out this tutorial to learn how!
Word problems are a great way to see math in action! This tutorial shows you how to solve a word problem involving rise and run by using the slope formula.
To find the x-intercept of a given linear equation, simply remove the 'y' and solve for 'x'. To find the y-intercept, remove the 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!
Trying to graph a line from a given slope and y-intercept? Think you need to find an equation first? Think again! In this tutorial, see how to use that given slope and y-intercept to graph the line.
Trying to graph a line from a given slope and a point? Think you need to find an equation first? Think again! In this tutorial, see how to use that given slope and point to graph the line.
Trying to write an equation in point-slope form? Got a point on the line and the slope? Plug those values correctly into the point-slope form of a line and you'll have your answer! Watch this tutorial to get all the details!
Trying to write an equation in point-slope form? Have two points but no slope? You'll need to use those points to find a slope first. Watch this tutorial and see what needs to be done to write an equation in point-slope form!
Get some practice with the point-slope form and standard form of an equation! This tutorial shows you how to use two given points to write an equation in both forms. Take a look!
Want to write an equation in slope-intercept form? Already have the slope and y-intercept? Perfect! Just correctly plug those values into your equation and you're done! Learn how in this tutorial.
When you're dealing with linear equations, you may be asked to find the slope of a line. That's when knowing the slope formula really comes in handy! Learn the formula to find the slope of a line by watching this tutorial.
When you have a linear equation, the x-intercept is the point where the graph of the line crosses the x-axis. In this tutorial, learn about the x-intercept. Check it out!
Parallel lines are lines that will go on and on forever without ever intersecting. This is because they have the same slope! If you have two linear equations that have the same slope but different y-intercepts, then those lines are parallel to one another!
Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other. Their product is -1! Watch this tutorial and see how to determine if two equations are perpendicular.
Want to find the point midway between two locations? Then you're looking for the midpoint! The midpoint of a line segment is the point located midway between the endpoints of the line segment. This tutorial tells you about the midpoint of a line segment. Take a look!
A math term can really tell you a lot about the thing it's describing. Take the term 'endpoints'. The endpoints of a line segment are just the 'points' located at the 'ends' of the line segment! That's an informative name! Watch this tutorial to learn about endpoints of a line segment.
See a pattern in a sequence? It might be an arithmetic sequence! Learn about arithmetic sequences by watching this tutorial.
Did you know that the constant you add to a term in an arithmetic sequence to get the next term has a name? It's called a common difference! This tutorial is a great way to learn more about the common difference of an arithmetic sequence.
Got a set of numbers? Are they in a particular order? If so, then you have a sequence! Take a look at sequences by watching this tutorial.
You can't learn about linear equations without learning about slope. The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line. Check out this tutorial to learn about slope!
When you're looking at a sequence, each value in that sequence is called a term. This tutorial explains the definition of the term of a sequence. Take a look!
The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another. But why is it called the constant of variation? This tutorial answers that question, so take a look!
Want to know what a direct variation looks like graphically? Basically, it's a straight line that goes through the origin. To get a better picture, check out this tutorial!
Scatter plots are really useful for graphically showing a bunch of data. By seeing data graphically, you can see patterns or trends in the data. These patterns help researchers to understand how one thing affects another. This can lead to all kinds of breakthroughs! This tutorial gives you a look at the scatter plot. Check it out!
Looking at a line-of-fit on a scatter plot? Does that line have a positive slope? If so, your data shows a positive correlation! Learn about positive correlation by watching this tutorial.
Looking at a line-of-fit on a scatter plot? Does that line have a negative slope? If so, your data shows a negative correlation! Learn about negative correlation by watching this tutorial.
Scatter plots are very helpful in graphically showing the pattern in a set of data. But sometimes that data shows no correlation. Learn about no correlation and see how to tell if data shows no correlation by watching this tutorial!
Multiplicative inverses. That's a mouthful! Really, this term just refers to numbers that when multiplied together equal 1. These numbers are also called reciprocals of each other! Learn about multiplicative inverses by watching this tutorial.
What does a negative slope mean? What does the graph of a negative slope look like? Find the answers to these questions by watching this tutorial!
You may be able to guess that vertical lines are lines that go straight up and down, but did you know that all vertical lines have the same slope? In this tutorial, learn all about vertical lines including their slope and what the equation of a vertical line looks like!
Ever look at the horizon when the sun is rising or setting? Know why it's called the horizon? It's a horizontal line! And just like the horizon, horizontal lines go straight left and right. In this tutorial, you'll learn all about horizontal lines including their slope and what the equation of a horizontal line looks like.
Trying to find the value of a certain term in an arithmetic sequence? Don't want to go through the terms one-by-one to find the one you want? Use the formula to find the nth term in an arithmetic sequence! This tutorial shows you how find that formula!
What does a positive slope mean? What does the graph of a positive slope look like? Find the answers to these questions by watching this tutorial!
A zero slope is just the slope of a horizontal line! The y-coordinate never changes no matter what the x-coordinate is! In this tutorial, learn about the meaning of zero slope.
An undefined slope (or an infinitely large slope) is the slope of a vertical line! The x-coordinate never changes no matter what the y-coordinate is! There is no run! In this tutorial, learn about the meaning of undefined slope.
When you're learning about linear equations, you're bound to run into the point-slope form of a line. This form is quite useful in creating an equation of a line if you're given the slope and a point on the line. Watch this tutorial, and learn about the point-slope form of a line!
When you're learning about linear equations, you're bound to run into the point-slope form of a line. This form is quite useful in creating an equation of a line if you're given the slope and a point on the line. Watch this tutorial, and learn about the point-slope form of a line!
When you have a linear equation, the y-intercept is the point where the graph of the line crosses the y-axis. In this tutorial, learn about the y-intercept. Check it out!
Math can sneak up in all sorts of places, so it's important to be prepared! Follow this tutorial to see a real world math problem involving a system of inequalities!
What is a solution to a system of inequalities? Can a such a system have more than one solution? Follow along with this tutorial to learn the answers to these questions, and more!
There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by graphing both lines and finding their intersection. Take a look!
Like riddles? A word problem is just like a riddle! In this word problem, you'll need to find the solution to a system of linear equations solve the riddle and find a location on a map. Check it out!
Like riddles? A word problem is just like a riddle! In this word problem, you'll need to find the solution to a system of linear equations solve the riddle and find a location on a map. Check it out!
There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by substituting one equation into the other and solving for the variable. Then, see how to use that variable value to find the value of the other variable. Check it out!
There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by combining the equations together to eliminate one of the variables. Then, see how find the value of that variable and use it to find the value of the other variable. Take a look!
There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve such a system by combining the equations together in a way so that one of the variables is eliminated. Then, see how find the value of that variable and use it to find the value of the other variable. Take a look!
There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by graphing both lines and finding their intersection. Take a look!
There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve such a system by combining the equations together in a way so that one of the variables is eliminated. Then, see how find the value of that variable and use it to find the value of the other variable. Take a look!
There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by combining the equations together in order to eliminate one of the variables. Then, see how find the value of that variable and use it to find the value of the other variable. Take a look!
There are many different ways to solve a system of inequalities. In this tutorial, you'll see how to solve such a system by graphing both inequalities and finding their intersection. Check it out!
Word problems are a great way to see math in action! In this tutorial, you'll see how to write a system of linear equations from the information given in a word problem. Then, you'll see how to solve this system using the elimination method. See this entire process by watching this tutorial!
A system of equations is a set of equations with the same variables. If the equations are all linear, then you have a system of linear equations! To solve a system of equations, you need to figure out the variable values that solve all the equations involved. This tutorial will introduce you to these systems.
A system of equations is a set of equations with the same variables. A system of inequalities is almost exactly the same, except you're working with inequalities instead of equations! To solve such a system, you need to find the variable values that will make each inequality true at the same time. This tutorial will introduce you to systems of inequalities.
Knowing the definition of a system of equations is great, but you should also know how to solve them! This tutorial introduces you to the graphing method, substitution method, and elimination method for solving a system of equations. Take a look and learn them all!
If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time. Follow along as this tutorial uses an example to explain the solution to a system of equations!
Looking at a system of equations with only one solution? That means that those equations intersect only at that one point. That kind of solution is called consistent and independent! This tutorial explains systems with one solution and even shows you an example!
One of the many ways you can solve a quadratic equation is by graphing it and seeing where it crosses the x-axis. Follow along as this tutorial shows you how to graph a quadratic equation to find the solution. Check it out!
The axis of symmetry is the vertical line that goes through the vertex of a quadratic equation. There's even a formula to help find it! In this tutorial, you'll see how to find the axis of symmetry for a given quadratic equation.
The vertex of a quadratic equation is the minimum or maximum point of the equation. Did you know that you can use the formula for the axis of symmetry to help find the vertex of a quadratic equation? Watch this tutorial and see how it's done!
When you're trying to graph a quadratic equation, making a table of values can be really helpful. To figure out what x-values to use in the table, first find the vertex of the quadratic equation. That way, you can pick values on either side to see what the graph does on either side of the vertex. To see how to make a table of values for a quadratic equation, check out this tutorial!
The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis. In this tutorial, you'll see how to use the graph of a quadratic equation to find the zeros of the equation. Take a look!
One of the many ways you can solve a quadratic equation is by factoring it. In this tutorial, you'll see how to factor a quadratic equation using the guess and check method of factoring. Then, use the zero product property to find the solution!
One of the many ways you can solve a quadratic equation is by using the quadratic formula. The quadratic formula is usually chosen when the other methods won't work or are difficult to use. In this tutorial, see how to solve a quadratic equation using the quadratic formula!
One of the many ways you can solve a quadratic equation is by completing the square. In this method, you want to turn one side of the equation into a perfect square trinomial. This tutorial takes you through the steps of solving a quadratic equation by completing the square. Check it out!
When you're trying to graph a quadratic equation, making a table of values can be really helpful. Before you make a table, first find the vertex of the quadratic equation. That way, you can pick values on either side to see what the graph does on either side of the vertex. Watch this tutorial to see how you can graph a quadratic equation!
One of the many ways you can solve a quadratic equation is by graphing it and seeing where it crosses the x-axis. Follow along as this tutorial shows you how to graph a quadratic equation to find the solution. Check it out!
In a quadratic equation, the discriminant helps tell you the number of real solutions to a quadratic equation. In this tutorial, see how to find the discriminant of a quadratic equation and use it to determine the number of solutions!
Factoring a perfect square trinomial? Did you know there's a shortcut to factoring this special kind of trinomial? Check it out! It's pretty cool, and it may make this process a little faster!
In a quadratic equation, the discriminant helps tell you the number of real solutions to a quadratic equation. In this tutorial, see how to find the discriminant of a quadratic equation and use it to determine the number of solutions!
The vertex of a quadratic equation is either a maximum or a minimum of the function. But how do you tell if it will be a maximum or a minimum? Watch this tutorial and find the answer to that question!
One of the many ways you can solve a quadratic equation is by using the square root method. Follow along with this tutorial and see how to use the square root method to solve a quadratic equation. Take a look!
Dealing with graphs of quadratic equations? You should know about the parent function graph first! All graphs of quadratic equations start off looking like this before their transformed. Check it out!
When you mail a package, you need the right sized box. But what if you don't have any boxes? Just make one out of cardboard! Follow along with this tutorial to see how math can help you figure out the dimensions of a box created from a piece of cardboard!
Each quadratic equation has either a maximum or minimum, but did you that this point has a special name? In a quadratic equation, this point is called the vertex! Take a look at the vertex of a quadratic equation by watching this tutorial.
Ever notice that the left side of the graph of a quadratic equation looks a lot like the right side of the graph? In fact, these sides are just mirror images of each other! If you were to cut a quadratic equation graph vertically in half at the vertex, you would get these symmetrical sides. That vertical line that you cut has a special name. It's called the axis of symmetry. To learn about the axis of symmetry, watch this tutorial!
If you graph a linear function, you get a line. If you graph a quadratic function, you get something called a parabola. A parabola tends to look like a smile or a frown, depending on the function. Check out this tutorial and learn about parabolas!
When you're dealing with quadratic functions, maximum and minimum are very likely to come up. This tutorial takes a look at the maximum of a quadratic function. Check it out!
When you're dealing with quadratic functions, maximum and minimum are very likely to come up. This tutorial takes a look at the minimum of a quadratic function. Check it out!
You can't go through algebra without seeing quadratic functions. The graphs of quadratic functions are parabolas; they tend to look like a smile or a frown. In this tutorial, get introduced to quadratic functions, look at their graphs, and see some examples of quadratic functions!
You can't go through algebra without seeing quadratic equations. The graphs of quadratic equations are parabolas; they tend to look like a smile or a frown. There's also a bunch of ways to solve these equations! Watch this tutorial and get introduced to quadratic equations!
If you're solving quadratic equations, knowing the quadratic formula is a MUST! This formula is normally used when no other methods for solving quadratics can be reasonably used. In this tutorial, learn about the quadratic formula and see it used to solve a quadratic equation. Take a look!
Ever wonder how mathematicians came up with the quadratic formula? Wonder no more! This tutorial takes you through the process of deriving the quadratic formula, so even if you forget it on an exam, you'll be able to derive it and then use it to solve your quadratic equation! Check it out!
Trying to find the distance between two points? Use the distance formula! Want to see how it's done? Check out this tutorial!
Want to simplify a radical whose radicand is not a perfect square? No sweat! Check out this tutorial and see how to write that radicand as its prime factorization. Then, rewrite any duplicate factors using exponents, break up the radical using the product property of square roots, and simplify. To see this process step-by-step, watch this tutorial!
To multiply radicals, you can use the product property of square roots to multiply the contents of each radical together. Then, it's just a matter of simplifying! In this tutorial, you'll see how to multiply two radicals together and then simplify their product. Check it out!
Adding radicals isn't too difficult. As long as they have like radicands, you can just treat them as if they were variables and combine like ones together! This tutorial takes you through the steps of adding radicals with like radicands. Take a look!
Subtracting radicals can be easier than you may think! As long as they have like radicands, you can just treat them as if they were variables and combine like ones together! This tutorial takes you through the steps of subracting radicals with like radicands. Check it out!
Subtracting radicals isn't too hard. Just treat them as if they were variables and combine like ones together! Don't see like radicals? You may need to simplify the radicals so you can identify similar ones. This tutorial takes you through the steps of subtracting radicals that must first be simplified. Take a look!
Want some practice solving radical equations? Check out this tutorial! You'll see the steps you need to take in order to solve a radical equation and check your answer!
Want some practice solving radical equations? Check out this tutorial! You'll see the steps you need to take in order to solve a radical equation and check your answer!
Making a table of values is a useful way to graph a square root function. Just remember to choose x-values for which the function is defined! Watch the tutorial to find out more.
When you're learning about translating square root functions, learning about vertical translations is a MUST! Check out this tutorial and see what it takes to translate a square root function vertically.
When you're learning about translating square root functions, learning about horizontal translations is a MUST! Check out this tutorial and see what it takes to translate a square root function horizontally.
If you need to find the distance between to points on the coordinate, you'll probably use the distance formula to get your answer. This tutorial introduces you to the distance formula and even shows you how to find it!
Trying to find the distance between two points on the coordinate plane? Use the distance formula! Can't remember it? Not a problem if you've watched this tutorial! This tutorial shows you how to derive the distance formula. You even use the Pythagorean theorem to find it! Take a look!
When you're trying to figure out all the possibilities from different options, it can be helpful to make a tree diagram. In this tutorial, you'll see how to use a tree diagram to figure out how many different outfits can be created from the possible shirts, bottoms, and shoes given. Check it out!
When you're trying to figure out all the possibilities from different options, it can be helpful to draw a picture. In this tutorial, you'll see how to use a picture to figure out how many different outcomes can be created from the possibilities given. Check it out!
Working with probabilities? Check out this tutorial! You'll see how to calculate the probability of picking a certain marble out of a bag.
Calculating probabilities? Take a look at this tutorial and see how to figure out the probability of independently drawing certain cards from a deck!
Sometimes probabilities depend on the outcomes of other events. Check out this tutorial to see probabilities of dependent events in action!
Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean! To see an example of finding the mean, watch this tutorial!
The median of a data set is the number that is the middle value of the set. It's easy to find the median if you first put the numbers in order from least to greatest. In this tutorial, see how to find the median of a data set, and see what to do if there are two middle values!
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode! Follow along with this tutorial and see how to find the mode of a set of data.
The range of a data set is the difference between the largest number and the smallest number. In this tutorial, you'll see how to find the range of a set of data. Check it out!
The mode of a data set is the number that occurs most often, but what if your data set has more than one mode? Is that possible? This tutorial explains what to do when a data set has multiple modes!
To find the mode of a data set, look for the number that occurs most often. What if all the numbers occur the same number of times? What's the mode of that data set? This tutorial will tell you!
A box-and-whisker plot can help you get a better picture of what your data looks like visually. This tutorial shows you the step-by-step process for making a box-and-whisker plot!
The Fundamental Counting Principle (FCP) can be used to find a number of permutations. Follow along with this tutorial to see how to use the FCP to find the number ways you can rearrange the letters in the word NUMBER.
Probability can help you solve all sorts of everyday problems! This tutorial shows you how to find the probability of the complement of an event using gummy worms!
Simulators are a great way to model an experiment without actually performing the experiment in real life. This tutorial looks at using a simulator to figure out what might happen if you randomly guessed on a true/false quiz.
When you're conducting an experiment, the outcome is a very important part. The outcome of an experiment is any possible result of the experiment. Learn about outcomes by watching this tutorial!
In an experiment, it's good to know your sample space. The sample space is the set of all possible outcomes of an experiment. Watch this tutorial to get a look at the sample space of an experiment!
The Fundamental Counting Principle is a way to figure out the total number of ways different events can occur. In this tutorial, you'll be introduced to this principle and see how to use it in an example. Take a look!
Probability can help you solve all sorts of everyday problems, but first you need to know what probability is! Follow along with this tutorial to learn about probability!
The median is one of many measures of central tendency. Check out this tutorial to learn what the median is and how you can find it!
Finding the mode of a set of data can help you understand the data better. This tutorial introduces you to mode and shows you how to find this helpful measure of central tendency!
When you think of the mean of a data set, think of the word average. 'Mean' and 'average' are the same thing when you're talking about a set of data! This tutorial introduces you to mean and shows you how to find it!
Being able to disect a set of data and better understand it is a key part of mastering statistics. This tutorial teaches you about one of these disection tools called the interquartile range.
Do real life situations always work out the way your mathematical models tell you they should? No! This tutorial describes how experimental probability differs from theoretical probability.
When you learn about probablilities, the complement of an event is a must-know term! This tutorial introduces you the complement of an event.
A weighted average is a special type of average that allows you to give special weights to the different values in your average. Learn more about weighted averages by watching this tutorial!
Setting up and solving an equation from a word problem can be tricky, but this tutorial can help. See all the steps, from defining variables to getting that final answer, and everything in between! With this tutorial, you'll learn what it takes to solve a word problem.
Did you know that another word for 'exponent' is 'power'? To learn the meaning of these words and to see some special cases involving exponents, check out this tutorial!
The commutative property is a fundamental building block of math, but it only works for addition and multiplication. This tutorial defines the commutative property and provides examples of how to use it.
Let's identify an identity! Addition and subtraction have a different identity than multiplication and division. Learn about each of these identities with this tutorial!
Need some practice translating phrases into mathematical expressions? Then this tutorial is for you! You'll get practice translating statements involving addition, subtraction, multiplication, or division into mathematical expressions.
The natural numbers are also called the counting numbers. The whole numbers are almost exactly as the natural numbers the same except for one small difference! Watch this tutorial and learn the difference between natural and whole numbers.
There are a bunch of different categories of numbers such as the rational numbers, the natural numbers, and the integers, just to name a few. See how they all relate to one another by watching this tutorial!
Having difficulty turning a word problem into an algebra equation? Then this tutorial is for you! With this tutorial, you'll learn how to break down word problems and translate them into mathematical equations.
Simplifying an algebraic expression is a fundamental part of solving math problems. Get some practice putting an expression in simplest form by following along with this tutorial.
In this tutorial you'll see how to apply the distributive property. Remember that this is important when you are trying to simplify an expression and get rid of parentheses!
Learning the associative property of addition is one thing, but being able to use it can be a completely different challenge. In this tutorial, you'll see how to put this very useful property into action.
Plugging variables into an expression is essential for solving many algebra problems. See how to plug in variable values by watching this tutorial.
If you're trying to simplify some math expressions, you have to do it in the right order. If you've ever wondered how to do that, check out this example tutorial where you'll see exactly what order you need to follow:)
You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!
Knowing the mathematical meaning of words allows you to decipher word problems and gives you the power to write your own word problems, too! Take a look at these words and learn their mathematical translations.
Combining like terms together is a key part of simplifying mathematical expressions, so check out this tutorial to see how you can easily pick out like terms from an expression
Sometimes what's simple for some is hard for others, and so simple seems like a pretty subjective word. But when it comes to algebra, the simplest form of an expressions is very well defined and is very specific- there's really nothing that subjective about it. So watch this tutorial and see exactly what simplest form means!
The distributive property is a very deep math principle that helps make math work. It's the rule that lets you expand parentheses, and so it's really critical to understand if you want to get good at simplifying expressions. So check out the tutorial and let us know what you think!
The associative property is one of those fundamental properties of math that make math work. You probably take this property for granted because it's so ingrained, but it's important to see how the guts of math work, so check out the tutorial and make sure you're solid on your fundamentals!
Check out this tutorial where you'll see exactly what order you need to follow when you simplify expressions. You'll also see what happens when you don't follow these rules, and you'll find out why order of operations is so important!
There is a bunch of vocabulary that you just need to know when it comes to algebra, and coefficient is one of the key words that you have to feel 100% comfortable with. Check out the tutorial and let us know if you want to learn more about coefficients!
Looking for some practice translating words into a mathematical expression? Then take a look at this tutorial, and you'll learn how to break down those words and write the mathematical expression they describe!
Let your creativity go wild by turning a mathematical equation into a story! Watch this tutorial to see one example, and then write your own story to describe the given equation. See how creative you can get with math!
This tutorial shows you how a mathematical expression can be turned into words. The best part? You can be super creative with the statement you make up! Check out the example statement created in this tutorial, and then make up your own!
Is an irrational number just a way to describe a number that's lost its mind? Not really. :) An irrational number is simply a number that cannot be written as a fraction. Check out the definition, learn an important property of these special numbers, and take a look at some examples of irrational numbers.
Real numbers are numbers that can be found on the number line. This includes both the rational and irrational numbers. This tutorial explains real numbers and gives some great examples. Take a look!
Inequalities come up all the time when you're working algebra problems. In this tutorial you'll learn what an inequality is, and you'll see all the common inequality symbols that you're likely to see :)
In this tutorial you'll see how you can think of absolute value in a very intuitive way. Let us know if you have any questions about it!
Number lines are great ways to represent a group of numbers, and in this tutorial you'll see how to graph a group of numbers on a number line
There are lots of different kind of numbers that you should know about, and that includes rational numbers. Check out the tutorial!
What is the average temperature outside today? What is the average amount of time it takes you to do your homework? What is the average price for a gallon of gas? To figure out how to find the average to just about anything, check out this tutorial about averages!
There are lots of different kinds of numbers that you'll come across in algebra, and a lot of these kinds of numbers are related to each other. Before you learn how they are related, you've got to learn about them separately, and in this tutorial you'll how to define integers :)
Reciprocals are important when it comes to dividing fractions, finding perpendicular lines, dealing with inverse proportions, and so much more! In this tutorial you can review the basics about reciprocals.
Number lines help make graphing the intersection of two inequalities a breeze! This tutorial shows you how to graph two inequalities on the same number line and then find the intersection. Take a look!
Number lines help make graphing the union of two inequalities a breeze! This tutorial shows you how to graph two inequalities on the same number line and then find the union. Check it out!
This tutorial shows you how to distribute a whole number into the sum of fractions. It's an important skill to have when you're solving equations, and you never know when it can come up. Be sure to check out this tutorial!
Sometimes word problems describe a system of equations, two equations each with two unknowns. Solving word problems like this one aren't so bad if you know what to do. Check it out with this tutorial!
Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the subtraction property of equality, and it lets you subtract the same number from both sides of an equation. Watch the video to see it in action!
Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the addition property of equality, and it lets you add the same number to both sides of an equation. Watch the video to see it in action!
Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the multiplication property of equality, and it lets you multiply both sides of an equation by the same number. Watch the video to see it in action!
Trying to solve an equation with variables and fractions on both sides of the equation? You can bet it involves finding a common denominator! To see what it takes, watch this tutorial.
Trying to solve an equation with variables on both sides of the equal sign? Figure out how to get those variables together and find the answer with this tutorial!
Got an equation with two variables? Want to solve for one variable in terms of the other? Want to go the other way around? See how in this tutorial!
Working with word problems AND fractions? This tutorial shows you how to take a word problem and translate it into a mathematical equation involving fractions. Then, you'll see how to solve and check your answer. Take a look!
Trying to solve an equation with variables and fractions? Just perform the order of operations in reverse! To see what it takes, watch this tutorial.
Trying to solve two equations each with the same two unknown variables? Take one of the equations and solve it for one of the variables. Then plug that into the other equation and solve for the variable. Plug that value into either equation to get the value for the other variable. This tutorial will take you through this process of substitution step-by-step!
Word problems are a great way to see math in the real world. In this tutorial, you'll see how to translate a word problem into a mathematical equation. Then you'll see how to solve that equation and check your answer!
Trying to solve an equation involving a fraction? Just multiply the fraction away and then perform the order of operations in reverse! See how in this tutorial.
Trying to solve an equation involving a fraction? Just perform the order of operations in reverse! See how in this tutorial.
Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.
Imagine you have two equations with two variables that you're trying to solve for, and someone hands you the answer. How do you know that the answer is right? After watching this tutorial you'll see exactly what it takes to check that the answer you have is correct for BOTH equations!
Trying to solve an equation where you see the same variable more than once? Figure out how to get those variables together and solve the equation with this tutorial!
Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the division property of equality, and it lets you divide both sides of an equation by the same number. Watch the video to see it in action!
Word problems allow you to see math in action! Take a look at this word problem involving an object's weight on Earth compared to its weight on the Moon. See how the formula for direct variation plays an important role in finding the solution. Then use that formula to see how much you would weigh on the Moon!
Ever heard of two things being directly proportional? Well, a good example is speed and distance. The bigger your speed, the farther you'll go over a given time period. So as one variable goes up, the other goes up too, and that's the idea of direct proportionality. But you can express direct proportionality using equations, and that's an important thing to do in algebra. See how to do that in the tutorial!
If two things are directly proportional, you can bet that you'll need to use the formula for direct variation to solve! In this tutorial, you'll see how to use the formula for direct variation to find the constant of variation and then solve for your answer.
If two things are inversely proportional, you can bet that you'll need to use the formula for inverse variation to solve! In this word problem, you'll see how to use the formula for inverse variation to find the constant of inverse variation and then solve for your answer.
Ever heard of two things being inversely proportional? Well, a good example is speed and time. The bigger your speed, the less time it takes to get to where you are going. So when one variable is big, the other is small, and that's the idea of inverse proportionality. But you can express inverse proportionality using equations, and that's an important thing to do in algebra. See how to do that in the tutorial!
If two things are inversely proportional, you can bet that you'll need to use the formula for inverse variation to solve! In this tutorial, you'll see how to use the formula for inverse variation to find the constant of inverse variation and then solve for your answer.
Word problems allow you to see math in action! This tutorial shows you how to translate a word problem to an absolute value inequality. Then see how to solve for the answer, write it in set builder notation, and graph it on a number line. Learn all about it in this tutorial!
Sometimes the hardest part of a word problem is figuring out how to turn the words into math. This tutorial let's you see the steps to take in order to do just that! You'll see how to take a word problem and dissect it to turn it into an absolute value inequality.
This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.
Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.
This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.
Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.
Trying to solve a compound inequality? No problem! This tutorial will take you through the process of splitting the compound inequality into two inequalities. Then you'll see how to solve those inequalities and write the answer in set builder notation.
Trying to solve an absolute value inequality? No sweat! This tutorial will take you through the process of solving the inequality. Then you'll see how to write the answer in set builder notation and graph it on a number line. You'll see it all in this tutorial!
Converting an absolute value inequality to a compound inequality can be tricky. Luckily, this tutorial takes you through the process step-by-step. Take a look! You'll be glad you did.
Trying to solve a compound inequality? No sweat! This tutorial will take you through the process of solving the inequality. Then you'll see how to write the answer in set builder notation and graph it on a number line. You'll see it all in this tutorial!
Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.
Need some extra practice converting solution phrases into set builder notation? This tutorial was made for you! Follow along as this tutorial shows you how to dissect each phrase and turn it into a solution in set builder notation.
When does an absolute value inequality represent an AND compound inequality? When does it represent an OR compound inequality? This tutorial will give you the answer and show you using examples on a number line!
Wondering what a compound inequality is? Then check out this tutorial! You'll learn the definition for a compound inequality and also see how it can be written in set builder notation. Take a look!
Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the subtraction property of inequality, and it basically says that if you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well. Watch the tutorial to see how this looks in terms of algebra!
Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the addition property of inequality, and it basically says that if you add a number from one side of an inequality, you have to add that same number from the other side of the inequality as well. Watch the tutorial to see how this looks in terms of algebra!
Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the division property of inequality, and it basically says that if you divide one side of an inequality by a number, you can divide the other side of the inequality by the same number. However, you have to be very careful about the direction of the inequality! Watch the tutorial to see how this looks in terms of algebra!
Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the multiplication property of inequality, and it basically says that if you multiply one side of an inequality by a number, you can multiply the other side of the inequality by the same number. However, you have to be very careful about the direction of the inequality! Watch the tutorial to see how this looks in terms of algebra!
Word problems allow you to see the real world uses of math! In this tutorial, learn how to find the area of a quilt using polynomials as the measurement of each side.
Subtracting polynomials? No problem! Just distribute the negative sign to the second polynomial and then combine like terms. Watch this tutorial to see how it's done!
This tutorial shows you how to find the volume of a box. The fun part? The measurement of each side is a monomial! Watch this tutorial to see how to find the product of three monomials.
Multiplying monomials? Group constants and like variables together before you multiply. See how to find the product of three monomials in this tutorial.
Triangles, monomials, and ratios, oh my! Don't worry. It's easier than you think! Watch this tutorial to learn about dividing monomials.
Dividing monomials? The quotient of powers rule can help! Learn how divide monomials in this tutorial.
This tutorial shows you how to find the volume of a cube box. The fun part? The measurement of each side is a monomial! Watch this tutorial to see how to cube a monomial.
Got a monomial raised to a power? Want to simplify it? You could use the power of a product rule. You may also need the power of a power rule too. In this tutorial, you'll see how to simplify a monomial raise to a power.
Dealing with a word problem involving really big (or really small) numbers? This one has both! In this tutorial, you'll see how to use scientific notation to solve a word problem.
Multiplying together two really large numbers? What about two really small numbers? How about one of each? Scientific notation to the rescue! Watch this tutorial and learn how to multiply using scientific notation.
Trying to convert a really large or really small number to scientific notation? Watch this tutorial and you'll be a pro in no time!
Once you know how to multiply two binomials together, try your hand at multiplying two trinomials together! This tutorial takes you through the process step-by-step. The best part? This process is the same for ANY polynomials you want to multiply together!
Trying to convert a number in scientific notation to decimal notation? Watch this tutorial and you'll be a pro in no time!
Word problems allow you to see the real world uses of math! In this tutorial, learn how to find the area of a quilt using binomials as the measurement of each side. Use the FOIL method to multiply those binomials together and get your answer!
Looking for practice using the FOIL method? This tutorial delivers! It takes you step-by-step through the FOIL method as you multiply together to binomials.
Word problems allow you to see the real world uses of math! This tutorial uses the product of a sum and difference rule to find the original side lengths of a garden. Take a look!
Word problems let you see math in action! In this tutorial, you'll see how to solve a word problem by multiplying and subtracting polynomials. Check it out!
Word problems allow you to see the real world uses of math! In this tutorial, learn how to find the area of a garden using polynomials as the measurement of each side.
Multiplying a monomial by a trinomial? Apply the distributive property! See how it's done by watching this tutorial.
Word problems let you see math in action! This tutorial deals with the measurements of the sides of a picture frame. The fun part? The measurements are polynomials! Check it out!
Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you multiply the same number raised to different exponents!
Monomials are just math expressions with a bunch of numbers and variables multiplied together, and one way to compare monomials is to keep track of the degree. So what's a degree? Well, if you've ever wondered what 'degree' means, then this is the tutorial for you.
If you learn about algebra, then you'll see polynomials everywhere! In this tutorial, you'll learn the definition of a polynomial and see some of the common names for certain polynomials.
Comes in handy when you're factoring, and this tutorial will show you how to square like a pro!
Comes in handy when you're factoring, and this tutorial will show you how to square like a pro!
Multiplying monomials like (a + b) and (a - b) is really important when it comes to factoring, so if you want to get good at factoring, you're going to have to understand how to multiply a sum like (a + b) with a difference like (a - b)!
Sometimes you'll see a number with an exponent raised to another exponent, and the first time you see it, you probably think it's a typo! But it's not a typo, it's a real thing, and there's a really nice trick for making it simpler that you'll see in the video.
If you learn about algebra, then you'll see monomials everywhere! Watch this tutorial and learn what makes a monomial, and what does not.
There's a great trick for raising a product of two number to an exponent, and this tutorial shows you exactly that trick works.
Taking a monomial to a power isn't so hard, especially if you watch this tutorial about the power of a monomial rule!
Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you divide the same number raised to different exponents!
A lot of people get a little uneasy when they see 0, especially when that 0 is the exponent in some expression. After all, there seem to be so many rules about 0, and so many special cases where you're not allowed to do something. Well it turns out that a zero in the exponent is one of the best things that you can have, because it makes the expression really easy to figure out. Watch this tutorial, and next time you see 0 in the exponent, you'll know exactly what to do!
Do you ever panic when you see a negative number in the exponent of some mathematical expression? Well if you do, then panic no more! This tutorial will help you overcome your fear, and will help you understand what negative exponents actually mean :)
Sometimes a number is so big (or so small), that it takes a while to write it all down. Luckily, this number can be written quicker using scientific notation! Watch this tutorial and learn about scientific notation.
Word problems let you see math in the real world! In this tutorial, see how to write an equation from a diagram to help find the perimeter of a bedroom. Take a look!
Trying to factor a binomial with perfect square factors that are being subtracted? You have a difference of squares problem! Learn how to factor a binomial like this one by watching this tutorial.
The zero-product property let's you split the product of factors into separate equations. Then, you can solve each equation to get the solutions to your original equation! Learn all about this very useful property by watching this tutorial.
Factoring trinomials can by tricky, but this tutorial can help! Follow along as a trinomial is factored using the guess and check method. What, no possibilities work? The trinomial must be prime! Watch this tutorial and see what happens!
Factoring trinomials can by tricky, but this tutorial can help! See how to use the A-C method to factor a trinomial into the product of two binomials. Then, use the FOIL method to multiply the two binomial back together to check your answer.
Got an equation with polynomials involving multiple variables on both sides? You can factor out the greatest common factor, then factor by grouping, and then use the zero-product property to solve. Follow along with this tutorial to see a step-by-step explanation!
Factoring a binomial involving addition? Can you rewrite each term as a cubed expression? Then you have a sum of cubes problem! Learn how to identify and factor a sum of cubes problem by watching this tutorial.
Factoring a binomial involving subtraction? Can you rewrite each term as a cubed expression? Then you have a difference of cubes problem! Learn how to identify and factor a sum of cubes problem by watching this tutorial.
When factoring a trinomial into the product of two binomials, it's sometimes good to know all the possibilities. This tutorial uses the guess and check method to do just that! Take a look!
Factoring out the greatest common factor of a polynomial can be an important part of simplifying an expression. In this tutorial, you get step-by-step instructions on how to identify and factor out the greatest common factor.
Factoring by grouping is one way to factor a polynomial. This tutorial shows you how to take a polynomial and factor it into the product of two binomials. Then, check your answer by FOILing the binomials back together!
Did you know that when you're factoring a trinomial, the signs in the trinomial determine the signs in the product of the binomials? This information is really useful when you're factoring trinomials! Watch this tutorial and learn the different sign cases.
Trying to factor a binomial? See if you can factor out a greatest common factor. This tutorial shows you how to factor a binomial by first factoring out the greatest common factor and then using the difference of squares. Check it out!
Constants are parts of algebraic expressions that don't change. Check out this tutorial to see exactly what a constant looks like and why it doesn't change.
Integers are everywhere in math, so it's important to know what an integer is. This tutorial explains this special type of number so that you can identify one when you see it! Sometimes, a number is an integer even though it doesn't look like one. Watch this tutorial to see how to identify those too!
In order for a polynomial to be in standard form, two rules must be met. Learn about the standard form of a polynomial by watching this tutorial!
Polynomials are those expressions that have variables raised to all sorts of powers and multiplied by all types of numbers. When you work with polynomials you need to know a bit of vocabulary, and one of the words you need to feel comfortable with is 'term'. So check out this tutorial, where you'll learn exactly what a 'term' in a polynomial is all about.
Terms and polynomials can't run a fever, but they do have degrees! This tutorial will tell you all about the degree of a term and of a polynomial and will show you how to find it!
Got a quadratic polynomial? Want to put it in standard form? Watch this tutorial to learn the steps it takes to make sure a quadratic polynomial is in standard form!
If the only factors a polynomial are 1 and itself, then that polynomial is prime. To learn all about prime polynomials, check out this tutorial!
Not sure if the binomial you've factoring is a difference of squares problem? This tutorial will show you what characteristics the binomial must have in order to be a difference of squares problem. Take a look!
When your trying to factor a polynomial, one of the most difficult tasks can be determining the correct factoring strategy. Luckily, this tutorial provides a great strategy for factoring polynomials! Check it out and always know how to approach factoring a polynomial!
Excluded values are values that will make the denominator of a fraction equal to 0. You can't divide by 0, so it's very important to find these excluded values when you're solving a rational expression. Follow along with this tutorial and learn how to find these excluded values!
Adding rational expressions together? Don't have common denominators? No problem! Find the least common denominator (LCD) and change each rational expression into an equivalent expression with that LCD. Once you have common denominators, you're ready to add and simplify! Watch it all in this tutorial!
Subtracting rational expressions? Don't have common denominators? No problem! Find the least common denominator (LCD) and change each rational expression into an equivalent expression with that LCD. Once you have common denominators, you're ready to subtract and simplify! Watch it all in this tutorial!
When adding or subtracting rational expressions, you need have common denominators just like any other fraction. If you don't have common denominators, then you'll need to find the least common denominator (LCD) and use it to get those denominators to be the same. Learn how to find the LCD of two rational expressions by watching this tutorial!
Simplifying a complex fraction? No sweat! This tutorial will show you how to take a complex fraction made up of a mixed fraction divided by another mixed fraction and simplify it.
This tutorial provides a great real world application of math! This tutorial shows you how to take the information given in a word problem and turn it into a rational equation. Then, you'll see how to solve that equation and get your answer!
Want some extra practice solving rational equations? This tutorial gives you just that! Learn how to solve a rational equation for a given variable. Take a look!
Simplifying a rational expression? You could divide the numerator and denominator by the greatest common factor (GCF). In this tutorial, you'll learn what you need to do to simplify a rational expression by factoring out the GCF!
Multiplying together two rational expression isn't so hard, especially if you know the proper steps! This tutorial will take you through all the steps necessary to multiply together two rational expressions and then simplify the product to get the answer. Check it out!
Dividing two rational expressions? Turn it into a multiplication problem by multiplying by the reciprocal of the second rational expression (the divisor)! This tutorial shows you how to do just that! Then, you'll see how to perform the multiplication and simplify to get you answer!
Multiplying together two monomials isn't so hard, especially if you know the proper steps! This tutorial will take you through all the steps necessary to multiply together two monomials. Then, you'll see how to divide the numerator and denominator by the greatest common factor (GCF) in order to simplify and get your answer!
Dividing polynomials? Use long division! Follow along as this tutorial shows you how to perform long division with polynomial. Check it out!
Adding rational expressions together? If they have a common denominator, just add the numerators together and simplify. Just like you would with any other fractions! Watch the process in this tutorial.
Subtracting rational expressions? If they have a common denominator, just subtract the numerators and simplify. Just like you would with any other fractions! Watch the process in this tutorial.
Got a fraction with a polynomial in the numerator and denominator? You have a rational expression! Learn about rational expressions in this tutorial.
Looking at a fraction with one or more fractions in the numerator and denominator? You're looking at a complex fraction! Watch this tutorial and learn about complex fractions containing rational expressions.
A rational expression is a fraction with a polynomial in the numerator and denominator. If you have an equation containing rational expressions, you have a rational equation. Learn more about rational equations by watching this tutorial!
If two things are equivalent, they are the same. Equivalent expressions are expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify. Learn more about equivalent expression by watching this tutorial!
Excluded values are simply that: values that are excluded, or left out. These are values that will make the denominator of a rational expression equal to 0. Remember, you're not allowed to divide by 0, so these values are important to identify and exclude while solving. This tutorial shows you all about excluded values!
When you're working with fractions, you may need to find the least common denominator (LCD) in order to get the fractions to have a common denominator so that you can add or subtract them. The LCD is the smallest multiple that the denominators have in common. Learn about the LCD in this tutorial!
Graphing inequalities on the coordinate plane is not as difficult as you might think, especially if you know what to do! In this tutorial, you'll see the steps you need to follow to graph an inequality.
Is the boundary part of the graph of an inequality? Here's a hint: the sign of the inequality holds the answer! Learn how to test and see if the boundary is part of the graph of an inequality by watching this tutorial.
Word problems are a great way to see the real world applications of math! In this tutorial, you'll see how to graph multiple inequalities to find the solution. Take a look!
Finding the domain and range of a relation? No problem! Watch this tutorial and learn how to find the domain and range of a relation.
Finding the domain and range of the inverse of a relation can be tricky, unless you know the correct steps! This tutorial shows you the steps needed to find the domain and range of the inverse of a relation. Check it out!
Graphing a function? It would be really helpful if you had a table of values that fit your equation. You could plot those values on a coordinate plane and connect the point to make your graph. See it all in this tutorial!
Trying to figure out if an equation is a linear equation? Well, can you write it in standard form? If you can, then it's a linear equation. See this process in action by watching this tutorial!
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function! Watch this tutorial to see how you can determine if a relation is a function.
Trying to figure out if an equation is a function? Graph it and perform the vertical line test. If it passes, then it's a function! Get some practice by watching this tutorial!
To solve a function for a given value, plug that value into the function and simplify. See this first-hand by watching this tutorial!
Got a set of ordered pairs? Then you have a relation! This tutorial takes a look at relations!
Did you know that a relation has a domain? The domain of a relation is the set of the first coordinates from the ordered pairs. This tutorial defines the domain of a relation!
Did you know that a relation has a range? The range of a relation is the set of the second coordinates from the ordered pairs. This tutorial defines the range of a relation!
Did you know there's something called the inverse of a relation? Watch this tutorial to learn the definition for the inverse of a relation and to see an example!
A linear equation can be written in many different forms, and each of them is quite useful! One of these is standard form. Watch this tutorial and learn the standard form for a linear equation!
You can't go through algebra without learning about functions. This tutorial shows you a great approach to thinking about functions! Learn the definition of a function and see the different ways functions can be represented. Take a look!
Even graphs need to worry about tests! Using the vertical line test, you can figure out if a graph is a function or not. Watch this tutorial and learn about the vertical line test. Then, put your graphs to the test!
Every see 'f(x)' in your math? That's function notation! It's a way to indicate that an equation is a function. Learn about function notation by watching this tutorial.
If you graph an inequality on the coordinate plane, you end up creating a boundary. This boundary cuts the coordinate plane in half. In this tutorial, you'll learn about this kind of boundary!
If you graph an inequality on the coordinate plane, you end up creating a boundary that cuts the coordinate plane in half. Each of these halves is called a half-plane. Learn about half-planes by watching this tutorial!
Theorems are a way for mathematicians to make a general mathematical statement. These statements can be used to help you solve all sorts of problems! See an introductions to theorems with this tutorial.
If you want to graph a piecewise linear function, graph each function on it's specific interval separately. Bring it all together, and you have your graph! This tutorial shows you the entire process for graphing a piecewise linear function.
Think about sliding a penny on a table. All you're doing is moving the penny to a new location on the table. That's basically all that's happening when you translate a function! When you translate a function, you're just sliding it to a new location on the coordinate plane!
A great way to better understand how to translate a function is to practice! This tutorial takes you through the steps of graphing a function that's been translated up and to the right.
When you look in the mirror, you see a reflection of yourself. Reflections in math involve flipping something over a line called the line of reflection. This tutorial shows you how to reflect a function over a chosen line!
When you're evaluating a function, you're usually given a number to plug in for the variable, but what if the expression you're plugging in contains other variables? See how to plug an expression with variables into a function! This tutorial will show you!
If you change a function like f(x) to f(-x), it flips the function over the y-axis! Follow along with this tutorial to see how to take a function and reflect it over the y-axis.
If you have a table of values and want to see if it represents a direct variation, just create ratios from the table. If all the ratios are the same, then you have a direct variation! This tutorial takes you through that process step-by-step.
What is a one-to-one function? What qualities make a function one-to-one? This tutorial is a great introduction and explanation for one-to-one functions!
You've probably seen a continuous function before and not even known it! In this tutorial, you'll learn what a continuous function is and what a graph needs to have in order to be continuous.
Have you ever seen a horizontal line? Then you've seen a constant function! This tutorial introduces constant functions and shows you examples of their equations and graphs!
The graph of a linear function is a line. The graph of a quadratic function is a parabola. What does the graph of a cubic function look like? This tutorial introduces you to the basic (parent) function for cubic functions!
Did you know that functions have parents too? Follow along with this tutorial to learn about families of functions and their parent function!
The elimination method can be extended from solving a system of equations with two variables to solving a system with three variables. Watch the tutorial to find out how!
Optimization problems are used everyday to help businesses figure out how much of their products they need to sell in order to make a profit. Follow along with this tutorial to see a real world problem involving optimization!
If you want to solve an optimization problem, you can use linear programming to help! This tutorial introduces linear programming and the different pieces of this method.
Practicing with matrices can help you understand them better. Follow along with this tutorial to get some practice adding and subtracting matrices! You even get to use decimals and fractions!
Adding matrices is easier than you might think! Just find the corresponding positions in each matrix and add the elements in them! This tutorial can show you the entire process step-by-step.
To subtract matrices, you need to make sure that the matrices have the same dimensions. If they do, match up the corresponding positions in each matrix and subtract away! This tutorial takes you through the steps of subtracting matrices.
To multiply a matrix by a scalar, just multiply each element in the matrix by the scalar! To see the entire process, check out this tutorial!
Matrices can help you solve all sorts of problems! In this tutorial, you'll see how to use a translation matrix to translate a figure on the coordinate plane.
Determining the determinant of a matrix can be fun, especially when you know the right steps! This tutorial provides a great example of finding the determinant of a 2x2 matrix.
When you multiply a matrix and its inverse together, you get the identity matrix! Follow along with this tutorial to practice finding the inverse of a 2x2 matrix.
Matrices can help solve all sorts of problems! This tutorial explains what a matrix is and how to find the dimensions of a matrix.
The Commutative Property of Matrix Addition is just like the Commutative Property of Addition! This tutorial uses the Commutative Property of Addition and an example to explain the Commutative Property of Matrix Addition.
This tutorial introduces you to the Identity Property of Matrix Addition. This property tells you what happens when you add a zero matrix to another matrix.
Is the Inverse Property of Matrix Addition similar to the Inverse Property of Addition? Yes, it is! In fact, this tutorial uses the Inverse Property of Addition and shows how it can be expanded to include matrices!
You can solve a system of a equations using matrices! In order to do that, you need to create a coefficient matrix. This tutorial introduces this type of matrix and shows you how to make one!
You can multiply imaginary numbers like you multiply variables. Just remember that 'i' isn't a variable, it's an imaginary unit! This tutorial shows you the steps to find the product of pure imaginary numbers.
Get some practice multiplying complex numbers together using the FOIL method! This tutorial takes you through the process of multiplying two complex numbers together.
If you want to add complex numbers together, first regroup them so that like terms are next to one another. Then, add the like terms together, and you have your answer! To see an example, check out this tutorial.
When you subtract complex numbers, you first need to distribute in the minus sign into the second complex number. Then, regroup the terms so like terms are next to each other. Combine those like terms, and you have the answer! Watch this tutorial to see a great example!
The absolute value of a complex number is just the distance from the origin to that number in the complex plane! This tutorial shows you how to use a formula to find the absolute value of a complex number.
To understand a complex number, it's important to understand where that number is located on the complex plane. This tutorial helps you practice graphing complex numbers!
To divide complex numbers, you usually need to multiply by the complex conjugate of the denominator. Follow along with this tutorial to see how to find that complex conjugate and multiply with it to perform the division!
When the imaginary number 'i' has a large exponent, it can take a while to simplify it. Luckily, this tutorial gives you a trick to quickly find a higher power of 'i'!
Simplifying the square root of a negative number is very similar to simplifying the square root of a positive number. You just need to remember 'i' in your answer! Check out this tutorial to see how to simplify the square root of a negative number.
Did you know you can add two complex numbers together just by graphing them? This tutorial shows you how you can perform this addition on the complex plane!
The solution to a quadratic equation can sometimes be an imaginary number! This tutorial shows you how to use the square root method to solve a quadratic equation that has imaginary solutions.
You can never get too much practice working with the quadratic formula, especially when the solution includes complex numbers! Watch this tutorial to see the quadratic formula be used to find the complex solutions to a quadratic equation.
You can use the discriminant to find the number and kind of solutions to a quadratic equation! This tutorial shows you how to find the discriminant of a quadratic equation and use it to figure out how many and what kind of solutions the equation will have.
Graphing a quadratic inequality is easier than you might think! You just need to know the steps involved! This tutorial takes you through those steps to help you understand how to graph a quadratic inequality.
You can solve a quadratic inequality by graphing! Follow along with this tutorial to see how to graph a quadratic inequality and use that graph to find the solution!
Solving quadratic inequalities can be fun, especially when you use algebra to help! Follow along with this tutorial and see how to find critical values and use them on a number line to find the solution to the inequality!
Three points determine a parabola, so given three points you can write the parabola's equation. This tutorial will show you how!
There are many ways to solve a quadratic equation. One of these ways is by using the square root method. Watch this tutorial to see how the square root method is used to solve a quadratic equation and find imaginary solutions!
You can solve a quadratic equation by completing the square! This tutorial shows you the steps needed to solve a quadratic using this method.
The vertex form of a quadratic equation can help you quickly identify the vertex of that quadratic. Follow along with this tutorial to see how to use the completing the square method to change a quadratic equation from standard form to vertex form!
You can change a quadratic equation from standard form to vertex form by completing the square! This tutorial takes you through the process step-by-step.
Solving complex numbers isn't as complex as you might think. Just match up the real parts and the imaginary parts and solve! This tutorial shows you how to solve an equation involving complex numbers for specific variables.
You can write the vertex form for a quadratic equation if you have the vertex and one other point! This tutorial shows you how to take that information and write an equation for the quadratic in vertex form.
If you want to solve a quadratic equation that's in vertex form, it may be easier to first convert the equation to standard form. This tutorial shows you how to convert from vertex form to standard form!
Graphing a quadratic equation in intercept form is a breeze! All the information you need is in the equation. You just need to pick it out and use it. Follow along with this tutorial to see how to take an equation intercept form and use it to find the x-intercepts, vertex, and axis of symmetry.
If you want to write the equation of a quadratic in intercept form just from its graph, you can use the x-intercepts and one additional point on the graph. Those three points will tell you all you need. Follow along with this tutorial to see how to use the graph of a quadratic to write its equation in intercepts form.
If you have a quadratic equation in intercept form, you can quickly change it to standard form with a bit of multiplication! Check out this tutorial to see the process step-by-step.
Every tried to take the square root of a negative number? You'll need the imaginary unit 'i' to write the answer. This tutorial introduces you to this useful imaginary unit.
Imaginary numbers are used to help us work with numbers that involve taking the square root of a negative number. In this tutorial, you'll be introduced to imaginary numbers and learn that they're a type of complex number.
The discriminant of a quadratic is a great way to quickly figure out the number and type of solutions to a quadratic equation! This tutorial introduces you to the discriminant and shows you how to find and interpret it.
A quadratic inequality is just like a quadratic equation, except instead of an equal sign there's an inequality! Check out this tutorial to see the characteristics of a quadratic inequality and get some practice identifying them.
The critical values of a quadratic inequality are also the x-intercepts of the corresponding quadratic equation. This tutorial provides a great explanation of the critical values of a quadratic inequality!
The Square Root Property can be used a lot in math, especially to solve quadratic equations! This tutorial explains the Square Root Property and even shows how you can get imaginary numbers as your answer.
How could you graph a complicated polynomial function? By making a table of course! In this tutorial, you'll see how a table is made and used to graph a higher order polynomial function.
If you have a table of values, you can to find where the zeros of the function will occur. Just use the Location Principle! Follow along with this tutorial to see how a table of points and the Location Principle can help you find where the zeros will occur.
Polynomial functions with integer coefficients may have rational roots. The Rational Root Theorem lets you determine the possible candidates quickly and easily! Watch the video to learn more.
Factoring by grouping is a strong skill! In this tutorial, you'll practice factoring by grouping on a six term polynomial!
Translating functions can be fun when you know what to do. This tutorial helps you practice translating a function and writing the new function and graph!
Does every polynomial function have a solution? The answer can be found through the Fundamental Theorem of Algebra! This tutorial introduces you to the theorem and explains how its meaning.
Where do you think a leading coefficient is located in a polynomial? The name gives a great hint! This tutorial introduces you to the leading coefficient of a polynomial and shows you exactly where it's located.
Did you know that sometimes quadratics can be used to make a more complicated polynomial easier to work with? This tutorial introduces you to quadratic form and shows you what a polynomial needs to have in order to be written in that form.
Are depressed polynomials just polynomials that are really sad? Not really, but they are the result of dividing something from an original polynomial. This tutorial introduces you to depressed polynomials and shows you how we get them!
Trying to figure out if a given binomial is a factor of a certain polynomial? This tutorial can help you find the answer! Follow along to learn about the Factor Theorem and how it can be used to find the factors and zeros of a polynomial.
To find the cube root of a number, start by breaking that number into its prime factorization. Rewrite those factors using exponents and break up the radicals using the Product Property of Radicals. Simplify and you're done! Watch this tutorial to see the entire process step-by-step.
Adding functions is easier than you might think! Follow along with this tutorial to learn how to add two functions together.
You can rewrite an expression with a rational exponent a few different ways. This can come in handy when your solving a problem involving rational exponents. This tutorial shows you how it works! You can even practice with examples!
If you want to solve a logarithm, you can rewrite it in exponential form and solve it that way! Follow along with this tutorial to practice solving a logarithm by first converting it to exponential form.
Rewriting a logarithm in exponential form can make solving easier. In this tutorial, you'll see how to take a logarithm and rewrite it in exponential form!
Having a problem in exponential form is great, but can you change it to logarithmic form? This tutorial shows you that process step-by-step!
If you're adding logarithms that have the same base, you can use the Product Property of Logarithms to make that job easier! Follow along with this tutorial to see how the Product Property of Logarithms is used to add logarithms with the same base.
Converting from exponential form to natural logarithmic form is easier than you might think! Follow along with this tutorial to see how to perform this conversion.
Rewriting a natural logarithm in exponential form can make solving easier. This tutorial shows you how to take a natural logarithm and convert it to exponential form!
Translating a logarithmic function vertically can be fun, especially when you know how it's done! This tutorial shows what it takes to shift a logarithmic function up and down!
Want to graph a natural base exponential function? Make a table of points! Then plot the points, connect them, and you have your graph! Follow along with this tutorial to see the entire process step-by-step.
If you want to find the answer to a logarithm, it can be helpful to change the logarithm so it has the common base of 10. To do that, you need to use the Change of Base Formula. This tutorial shows you how to take a logarithm and rewrite it as a common logarithm.
Equations involving logarithms don't have to be scary. Just get rid of the logarithm by exponentiating and solve like any other equation! This tutorial shows you all the steps.
Logarithms can be tricky, but they become a whole lot easier if you understand how they're related to exponents. Follow along with the tutorial to learn about this relationship.
A natural logarithm is a logarithm that has a special base. In this tutorial, you'll be introduced to natural logarithms!
In math, 'e' isn't just a letter, it's an irrational number! This tutorial shows you how mathematicians use the letter 'e' to represent a specific value and how having a base of 'e' is called a natural base.
The natural base exponential function is actually a function that's shorter than its name! This tutorial introduces you to this special function and shows you what it looks like.
If you want to add together logarithms with the same base, the Product Property of Logarithms can help! In this tutorial, you'll learn about this helpful property and see how it can be used to quickly add logarithms with the same base.
If you don't like the base of a logarithm, you can change it using the Change of Base Formula! This tutorial explains the Change of Base Formula for logarithms and how to use it.
What exactly is a circle? Learn the answer in this tutorial. You can also see the equation for a circle that's on the coordinate plane!
The standard form equation for a circle can tell you quite a bit about the graph of that circle! Learn more about it with this tutorial.
A parabola is much more than just the graph of a quadratic. This tutorial shows you various definitions of a parabola and even shows you horizontal parabolas! Take a look!
An ellipse is a specific shape with some very neat pieces! In this tutorial, you'll learn multiple definitions of an ellipse and see all its different parts.
This tutorial explains how hyperbolas are created. It also shows you the different parts of hyperbolas and defines them multiple ways. Follow along with this tutorial to learn all about hyperbolas!
A sequence is a set of numbers in a particular order. When you add the values in a sequence together, that sum is called a series! This tutorial introduces series and explains both finite and infinite series.
Infinite geometric series may go on and on forever, but some of them actually converge to a number! Follow along with this tutorial to learn about infinite geometric series.
Conditional probability is used to find a probability in all sorts of everyday situations! This tutorial shows you one example of how to find the conditional probability in a real world problem.
Organization is a key part of finding the standard deviation of a data set. This tutorial takes you through the entire process one step at a time!
If you're learning about probability, conditional probability is bound to come up. This tutorial explains conditional probability and shows you how to find it!
Ever heard of data following a normal distribution? How do you know if you're data follows normal distribution? This tutorial introduces normal distribution and shows you the characteristics of a normal distribution curve!
The sine ratio is a handy ratio when you're dealing with right triangles! In this tutorial, you'll learn what the sine ratio is and how to use it to find angle measurements in a right triangle.
There are several different ratios you can make from the sides of a right triangle. One of them is the tangent ratio. Watch this tutorial to add the tangent ratio to your right triangle tool box!
Understanding how angles are made in the coordinate plane is a big step towards understanding trigonometry. This tutorial shows you how an angle can be made in the coordinate plane!
Want to find a missing side or angle measurement of a triangle? The Law of Sines can help! Follow along to learn about this handy proportion.
You can use sine to help you find the area of a triangle! All you need is two sides and an angle measurement! This tutorial helps you find this formula.
You can use the unit circle to help you graph the cosine function! In this tutorial, you'll learn how to do exactly that!
If you want to make the graph of the tangent function, you can use the unit circle to help you plot points. This tutorial shows you how to use the unit circle to make the tangent function graph!
Periodic functions have some special qualities! In this tutorial, you'll be introduced to these functions and learn what a graph must have to be called a periodic function.
Translating a graph of sine or cosine horizontally can be fun, but you need to understand how it works. Follow along with this tutorial to learn how to horizontally shift the sine and cosine graphs!
To find the geometric mean of two numbers, just find the product of those numbers and take the square root! Follow along with this tutorial to learn the process step-by-step.
The geometric mean can help you find a missing term in a geometric sequence. Before you find the geometric mean, you should understand what it is. This tutorial defines geometric mean.
When you're following directions, you not only need to know how far you're traveling but in what direction. Vectors are just like that! They have both a length and a direction! Follow along with this tutorial to learn about vectors and their parts. You can even see how to name a vector!
What does it mean when a line is tangent to a circle? In this tutorial, you'll learn what a line needs to do to be a tangent line to a circle.
When you have a relation given as a table of x-values and y-values, it can sometimes be helpful to graph those points in order to get a visual representation of the relation. This tutorial will show you how to take values from a table and plot them on the coordinate plane!
An expression is just a mathematical phrase. In this tutorial, you'll learn about two popular types of expressions: numerical and algebraic expressions. A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables. Check out this tutorial to learn about these two popular kinds of expressions!
If you ever plug a value in for a variable into an expression or equation, you're using the Substitution Property of Equality. This property allows you to substitute quantities for each other into an expression as long as those quantities are equal. Watch this tutorial to learn about this useful property!
Have you ever combined two numbers together and found their sum to be zero? When that happens, those numbers are called additive inverses of each other! In this tutorial, you'll learn the definition for additive inverse and see examples of how to find the additive inverse of a given value.
Looking for practice finding the least common multiple (LCM) of monomials? Then be sure to check out this tutorial! Follow along with this tutorial as it goes through the process of using prime factorization to help find the LCM. Check it out!
If you already have a bank account or if you plan to have one in the future, then this tutorial is a must see! Follow along as this tutorial goes through a word problem involving compound interest.
Things like bank accounts, loans, investments, and mortgages are a part of life, and almost always, interest is involved. Sometimes, you need to deal with compound interest, so it would be good to know the formula for it! In this tutorial, you'll see the formula for compound interest. Take a look!
Working with the graph of a line? Trying to find the equation for that graph? Just pick two points on the line and use them to find the equation. This tutorial shows you how to take two points on the graph of a line and use them to find the slope-intercept form of the line!
Scatter plots are a great way to see data visually. They can also help you predict values! Follow along as this tutorial shows you how to draw a line of fit on a scatter plot and find the equation of that line in order to make a prediction based on the data already given!
If you're learning about graphs, you're bound to see a bunch of linear equations, so it's a good idea to understand what makes an equation a linear equation. This tutorial explains linear equations and shows you the difference between equations that are linear and ones that are not. Check it out!
A trigonometric ratio is a ratio between two sides of a right triangle. The sine ratio is just one of these ratios. In this tutorial, you'll see how to find the sine of a particular angle in a right triangle. Take a look!
A trigonometric ratio is a ratio between two sides of a right triangle. The cosine ratio is just one of these ratios. In this tutorial, you'll see how to find the cosine of a particular angle in a right triangle. Take a look!
A trigonometric ratio is a ratio between two sides of a right triangle. The tangent ratio is just one of these ratios. In this tutorial, you'll see how to find the tangent of a particular angle in a right triangle. Take a look!
The sine ratio is not only used to identify a ratio between two sides of a right triangle, but it can also be used to find a missing side length. This tutorial shows you how to use the sine ratio to find that missing measurement!
The cosine ratio is not only used to identify a ratio between two sides of a right triangle, but it can also be used to find a missing side length. This tutorial shows you how to use the cosine ratio to find that missing measurement!
The tangent ratio is not only used to identify a ratio between two sides of a right triangle, but it can also be used to find a missing side length. This tutorial shows you how to use the tangent ratio to find that missing measurement!
Ordering numbers from least to greatest? Are the numbers in different forms? To make comparing easier, convert all the numbers to decimals. Then, plot those decimals on a number line and compare them! This tutorial shows you how!
A 45-45-90 triangle is a special right triangle with some very special characteristics. If you have a 45-45-90 triangle, you can find a missing side length without using the Pythagorean theorem! Check out this tutorial to learn about 45-45-90 triangles!
A 30-60-90 triangle is a special right triangle with some very special characteristics. If you have a 30-60-90 degree triangle, you can find a missing side length without using the Pythagorean theorem! Check out this tutorial to learn about 30-60-90 triangles!
Just about everything in math has a name! Did you know that a fraction of the area of a circle is known as a sector? This tutorial introduces you to the term sector and gives you examples of sectors. Take a look!
When you're trying to learn about a population, it can be helpful to look at an unbiased sample. An unbiased sample can be an accurate representation of the entire population and can help you draw conclusions about the population. This tutorial introduces you to unbiased sampling!
Cubic functions are just one type of function youÃ¢â‚¬â„¢ll see in math. This tutorial introduces you to cubic functions, shows you some examples and graphs, and explains the parent function of cubic functions. Check out this tutorial to learn about cubic functions!