Expressions & Equations

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Popular Tutorials in Expressions & Equations

How Do You Solve a Two-Step Equation by Multiplying by -1?

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!
How Do You Solve a Two-Step Equation by Combining Like Terms?

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!
How Do You Solve for a Variable in a Fraction Using Multiplication First?

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.
How Do You Solve a Two-Step Equation by Multiplying by a Reciprocal?

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.
How Do You Solve an Identity Equation?

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!
How Do You Solve an Equation with No Solution?

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!
How Do You Solve an Equation with Variables on Both Sides and Grouping Symbols?

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.
How Do You Solve a Two-Step Equation by Multiplying by -1 First?

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!
How Do You Solve a Two-Step Equation by Distributing a Fraction First?

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!
How Do You Solve a Word Problem Using an Equation With Variables on Both Sides?

Word problems are a great way to see math in the real world! In this tutorial, you'll see how to take a word problem and use it to write and solve an equation with variables on both sides!
What is an Identity 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!
What Does It Mean When An Equation Has No Solution?

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.
What are Similar Figures?

Looking at two figures that are the same shape and have the same angle measurements? You have similar figures! Learn all about it in this tutorial!
How Do You Evaluate Negative Exponents?

Knowing how to get rid of negative exponents is key to fully simplifying an expression. Get some practice working with negative exponents by watching this tutorial!
What's the Power of a Quotient Rule?

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!
What's the Formula for Slope?

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.
What Does the Slope of a Line Mean?

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!
What's the Constant of Variation?

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!
What Does Direct Variation Look Like on a Graph?

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!
What Does Negative Slope Mean?

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!
What Does Positive Slope Mean?

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!
What Does 0 Slope Mean?

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.
What Does Undefined Slope Mean?

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.
What's Slope-Intercept Form of a Linear Equation?

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!
How Do You Solve a System of Equations by Graphing?

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!
How Do You Use a System of Linear Equations to Find Coordinates on a Map?

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!
What's an Example of a Word Problem That Has a System of Linear Equations with Infinite Solutions?

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!
How Do You Solve a System of Equations Using the Substitution Method?

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!
How Do You Solve a System of Equations Using the Elimination by Addition Method?

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!
How Do You Solve a System of Equations Using the Elimination by Subtraction Method?

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!
How Do You Graph a System of Equations With No Solution?

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!
How Do You Solve a Word Problem Using the Elimination by Subtraction Method?

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!
What's a System of Linear Equations?

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.
What's a Solution to a System of Linear Equations?

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!
What are Exponents?

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!
How Do You Find the Square Root of a Perfect Square?

Taking the square root of a perfect square always gives you an integer. This tutorial shows you how to take the square root of 36. When you finish watching this tutorial, try taking the square root of other perfect squares like 4, 9, 25, and 144.
How Do You Find the Square Root of a Fraction?

Trying to take the square root of a fraction? This tutorial shows you how to take the square root of a fraction involving perfect squares. Check it out!
What Happens When You Square a Square Root?

Remember that addition and subtraction are opposite operations and multiplication and division are opposite operations? Turns out, squaring and taking the square root are opposite operations too! See why in this tutorial!
How Do You Solve a Word Problem Using Two Equations?

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!
How Do You Solve an Equation with Variables on Both Sides and Fractions?

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.
How Do You Solve an Equation with Variables on Both Sides?

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!
How Do You Solve an Equation Using Addition?

Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.
How Do You Solve an Equation Where You're Multiplying Fractions?

Solving an equation with multiple fractions in different forms isn't so bad. This tutorial shows you how to convert a mixed fraction to an improper fraction in order to solve the equation. Then, you'll see how to convert the answer back to a mixed fraction to make sense of it. Follow along with this tutorial to see how it's done!
How Do You Solve an Equation Using Multiplication?

Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.
How Do You Solve a Multi-Step Equation Using Order of Operations in Reverse?

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.
How Do You Solve Two Equations with Two Variables?

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!
How Do You Solve a Multi-Step Equation with Fractions by Multiplying Away the Fraction?

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.
How Do You Solve a Multi-Step Equation with Fractions Using Reverse Order of Operations and Reciprocals?

Trying to solve an equation involving a fraction? Just perform the order of operations in reverse! See how in this tutorial.
How Do You Solve a Two-Step Equation?

Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.
How Do You Solve an Equation Using Division?

Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.
How Do You Solve an Equation Using Subtraction?

Solving an equation for a variable? Perform the order of operations in reverse! Check it out in this tutorial.
How Do You Solve a Multi-Step Equation Using the Distributive Property?

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!
What's the Direct Variation or Direct Proportionality Formula?

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!
How Do You Solve a Word Problem by Multiplying with Scientific Notation?

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.
How Do You Multiply Two Numbers Using Scientific Notation?

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.
How Do You Convert From Decimal Notation to 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!
How Do You Convert From Scientific Notation to Decimal Notation?

Trying to convert a number in scientific notation to decimal notation? Watch this tutorial and you'll be a pro in no time!
What's the Product of Powers 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 multiply the same number raised to different exponents!
What's the Power of a Power Rule?

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.
What's the Power of a Product Rule?

There's a great trick for raising a product of two number to an exponent, and this tutorial shows you exactly that trick works.
What's the Quotient of Powers 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!
What Do You Do With a Zero Exponent?

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!
What Do You Do With a Negative Exponent?

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 :)
What's Scientific Notation?

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.
What's a Perfect Square?

Anytime you square an integer, the result is a perfect square! The numbers 4, 9, 16, and 25 are just a few perfect squares, but there are infinitely more! Check out this tutorial, and then see if you can find some more perfect squares!
How Do You Order Numbers in Scientific Notation?

Trying to order numbers in scientific notation? This tutorial provides a great example of that! Check it out:
How Do You Find the Product of Powers with Numbers?

What is the product of powers? Follow along with this tutorial to learn about what the product of powers is and how to use it!
How Do You Find the Quotient of Powers with Numbers?

The quotient of powers rule can be very useful when you're simplifying with numbers. Follow along to learn more about this handy rule!
How Do You Take a Power to a Power with Numbers?

When you have a number raised to a power and then THAT is raised to a power, simplifying things may be easier than you think. Follow along with this tutorial and see!
How Do You Take the Power of a Product with Numbers?

The power of a product rule can be a very handy tool when you're simplifying an expression. This tutorial introduces you to this rule and shows you how to use it.
How Do You Take the Power of a Quotient with Numbers?

The power of a quotient rule is just one of many tools that can help you simplify an expression. Learn more about it with this tutorial.
How Do You Solve an Equation With Fractions With The Same Denominators Using Subtraction?

Looking for practice solving equations containing fractions? Then check out this tutorial! Follow along and see how to subtract fractions with common denominators in order to solve an equation for a variable.
How Do You Solve an Equation With Fractions With The Same Denominators Using Addition?

Looking for practice solving equations containing fractions? Then check out this tutorial! Follow along and see how to add fractions with common denominators in order to solve an equation for a variable.
How Do You Solve an Equation With Fractions With Different Denominators Using Subtraction?

Looking for practice solving equations containing fractions? In this tutorial, you'll see how to first convert a mixed fraction to an improper fraction and then subtract fractions with unlike denominators in order to solve an equation. Be sure to check you answers so you KNOW it's correct!
How Do You Solve an Equation With Fractions With Different Denominators Using Addition?

Looking for practice solving equations containing fractions? In this tutorial, see how to add fractions with unlike denominators in order to solve an equation. Then, be sure to check you answers so you KNOW it's correct!
How Do You Solve a Decimal Equation Using Subtraction?

Want to see how to solve an equation containing decimals? Then check out this tutorial! You'll see how to subtract decimals in order to solve an equation for a variable. Then, see how to check your answer so you can be certain it's correct!
How Do You Solve a Decimal Equation Using Addition?

Want to see how to solve an equation containing decimals? Then check out this tutorial! You'll see how to add decimals in order to solve an equation for a variable. Then, see how to check your answer so you can be certain it's correct!
How Do You Solve a Decimal Equation Using Division?

Want to see how to solve an equation containing decimals? Then check out this tutorial! You'll see how to divide decimals in order to solve an equation for a variable. Then, see how to check your answer so you can be certain it's correct!
How Do You Solve a Decimal Equation Using Multiplication?

Want to see how to solve an equation containing decimals? Then check out this tutorial! You'll see how to multiply decimals in order to solve an equation for a variable. Then, see how to check your answer so you can be certain it's correct!
What is a Linear Equation?

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!