Solving Linear Equations

More Specific Topics in Solving Linear Equations

Popular Tutorials in Solving Linear Equations

How Do You Find the Intersection of Percent Data by Using a Venn Diagram?

Percents, Venn Diagrams, and word problems? No sweat! Check out this tutorial to see how to tackle all three at the same time and get the correct answer!
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.
How Do You Solve a Word Problem Using Unit Rates?

Word problems allow you to see the real world uses of math! This tutorial shows you how to take a rate and convert it to a unit rate. Then, you can use that unit rate to calculate your answer. Watch this tutorial to learn all about it!
How Do You Find Missing Measurements of Similar Figures Using a Proportion?

Trying to find a missing measurement on similar figures? Make ratios from corresponding sides and set up a proportion! Solve the proportion to get your missing measurement. Figure out how to do all that by watching this tutorial!
How Do You Convert a Rate To A Unit Rate?

When you talk about the speed of a car, you usually say something in miles per hour. For example, you say, 'I drove 40 miles per hour.' Normally, you don't say, 'I drove 120 miles per 3 hours.' Figure out how to convert a rate like 120 miles per 3 hours to the unit rate of 40 miles per hour by watching this tutorial.
How Do You Solve a Formula For a Variable?

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!
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!
What are Rates and Unit Rates?

Can you do 100 sit-ups in 2 minutes? That's a rate! Driving a car going 40 miles per hour? That's a unit rate! Watch this tutorial to learn about rate and unit rate (and the difference!).
What is a Scale Drawing?

Without a blueprint, it would be really hard to construct a building. Without a road map, you'd be lost! Scale drawings make it easy to see large things, like buildings and roads, on paper. Even a GPS uses scale drawings! Check out this tutorial to learn all about scale drawings.
What is a Literal Equation?

A literal equation is an equation where variables represent known values. Literal equations allow use to represent things like distance, time, interest, and slope as variables in an equation. Using variables instead of words is a real time-saver! Learn about literal equations with this tutorial.
How Do You Solve a Problem Using Indirect Measurement with Shadows?

Word problems allow you to see the real world uses of math! This tutorial shows you how to take a word problem and use indirect measurement to turn it into a proportion. Then see how to use the mean extremes property of proportions to cross multiply and solve for the answer. Take a look!
What are Corresponding Parts in Similar Figures?

Identifying corresponding parts in similar figures isn't so bad, but you have to know what you're looking for. This tutorial does a great job of explaining the corresponding parts of similar figures! Take a look!
What's the Subtraction Property of Equality?

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!
What's the Addition Property of Equality?

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!
What's the Multiplication Property of Equality?

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!
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 a Word Problem with an Equation Using Addition?

Word problems are a great way to see math in action! See how to translate a word problem into an equation, solve to find the answer, and check your found answer all in 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 a Word Problem with an Equation Using Subtraction?

Word problems are a great way to see math in action! See how to translate a word problem into an equation, solve to find the answer, and check your found answer all in this tutorial.
How Do You Solve a Word Problem Using an Equation Where You're Multiplying Fractions?

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 get the answer. Check it out!
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 for a Variable in Terms of Another Variable?

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!
How Do You Solve a Word Problem with an Equation Using Multiplication?

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 get the answer. Check it out!
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 Word Problem Using a Multi-Step Equation?

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!
How Do You Solve a Word Problem with an Equation Using Division?

Word problems are a great way to see math in action! See how to translate a word problem into an equation, solve to find the answer, and check your found answer all in this tutorial.
How Do You Find the Length of a Rectangle if You Know its Width and Area?

How do you find the length of a rectangle if you're given the width and the area? This tutorial shows you how!
How Do You Use the Solution from an Equation to Evaluate an Expression?

If 3x=21, what is 9x? To get the answer, solve the equation for the variable. Then plug that variable value into the expression and simplify to get the answer. Follow this same process anytime you need to use an equation to evaluate an expression. Watch this tutorial to see this process in action!
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 Use an Equation with Consecutive Numbers to Solve a Word Problem?

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 involving consecutive numbers. Then you'll see how to solve that equation and check your answer!
How Do You Solve a Word Problem Using a Two-Step Equation with Decimals?

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!
How Do You Solve an Equation by Guessing and Checking?

Want to solve an equation by guessing and checking possible answers? Then this tutorial is for you! Make sure to pay close attention to the strategy involved in guessing and checking!
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 Division Property of Equality?

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!
How Do You Solve a Word Problem Using a Percent Proportion?

Word problems allow you to see the real world uses of math! This tutorial shows you how to take a words problem and turn it into a percent proportion. Then see how to solve for the answer using the mean extremes property of proportions. Take a look!
How Do You Set Up a Proportion from a Word Problem?

Sometimes the hardest part of a word problem is figuring out how to turn the words into an equation you can solve. This tutorial let's you see the steps to take in order to turn a word problem involving a blueprint into a proportion. Take a look!
How Do You Use a Proportion to Find a Part of a Whole?

Taking a percent of a number? Trying to figure out the result? Use a percent proportion to solve! This tutorial will show you how!
What's a Percent?

Sales tax, tips at restaurants, grades on tests... no matter what you do, you can't run away from percents. So watch this tutorial and see once and for all what percents are all about!
How Do You Use the Formula for Simple Interest?

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 simple interest.
What is the Formula for Simple Interest?

Interest is found in a bunch of places: savings accounts, mortgages, loans, investments, credit cards, and more! Watch this tutorial and learn how to calculate simple interest!
How Do You Turn a Percent into a Decimal?

Percents and Decimals are just tools that let us represent numbers, and that is why percents can be converted into decimals, and decimals can be converted into percents. In this tutorial you'll see how quickly you can convert percents into decimals!
How Do You Solve a More Complicated Interest Problem?

Looking into investments? Are you already investing? Then this tutorial is a must see! Follow along as this tutorial goes through a word problem involving simple interest.
How Do You Figure Out a Percent of Change?

Word problems allow you to see the real world uses of math! In this tutorial, learn how to calculate the percent of increase using the percent of change formula.
What's a Percent of Change?

Lots of things in this world change their value such as cars, video games, and computers. When something either increases or decreases in value, it can be useful to know the percent of that change in value. To figure out that percent, you'll need the percent of change formula. Learn it with this tutorial!
How Do You Figure Out How Much Something is Marked Down?

Going shopping? Is something you want on sale? Trying to figure out the sale price of that item? Follow along with this word problem and you'll see how to calculate that price!
How Do You Set Up a Percent Proportion from a Word Problem?

Sometimes the hardest part of a word problem is figuring out how to turn the words into an equation you can solve. This tutorial let's you see the steps to take in order to do just that! Take a look! You'll be glad you did!
How Do You Figure Out Sales Tax?

Going shopping can be tons of fun, but things can go sour when you get to the register and realize that the sales tax puts you over your budget. Always stay under budget by figuring out your total cost BEFORE you hit the check out. Watch this tutorial and learn how to calculate sales tax!
How Do You Use an Equation to Find a Part of a Whole?

Taking a percent of a number? Trying to figure out the result? Convert the percent to a decimal and multiply it by the number! This tutorial will show you how!
How Do You Figure Out the Volume of a Solution Using Percents?

Word problems are a great way to see math in action! See how to create a table from the information in a word problem. Then use that table to write an equation and solve to find the answer.
How Do You Figure Out the Time Traveled if You Know the Distance and Speed?

This tutorial provides a great real world application of math. You'll see how to use uniform motion to figure out how long it will take to go a certain distance traveling at a constant speed. Check it out!
What's the Formula Connecting Distance, Speed, and Time?

When you have constant speed, the same formula pops up over and over again, and that's the formula that connects distance, speed, and time. Make sure you know this formula, and if you want a refresher, check out the tutorial!
How Do You Solve an Opposite-Direction Travel Problem?

Two people leave a location at different times and travel in opposite directions. What time will they be a certain distance apart? This tutorial takes you step-by-step through this classic word problem!
How Do You Solve a Proportion Using Cross Products?

Want to solve a percent proportion? Just use the means extremes property of proportions to cross multiply! Solve for the variable, and you have your answer! Learn how with this tutorial.
How Do You Use a Proportion to Find What Percent a Part is of a Whole?

A part is some percent of a whole. Trying to calculate the percent? Use a percent proportion to solve! This tutorial will show you how!
How Do You Figure Out the Rate Traveled if You Know the Distance and Time?

This tutorial provides a great real world application of math! Follow along with this tutorial to figure out how fast you need to go to travel a certain distance in a certain amount of time.
What's a Percent Proportion?

Percents are important, and the reality is that percents are actually proportions in disguise. In this tutorial you'll see exactly how to connect percents with proportions, and you'll be happier for it :)
What's a Proportion?

The idea of proportions is that a ratio can be written in many ways and still be equal to the same value. That's why proportions are actually equations with equal ratios. This is a bit of a tricky definition, so make sure to watch the tutorial!
What's the Means-Extremes Property of Proportions?

The means-extremes property of proportions allows you to cross multiply, taking the product of the means and setting them equal to the product of the extremes. This property comes in handy when you're trying to solve a proportion. Watch this tutorial to learn more!
What's a Ratio?

Ratios are everywhere! The scale on a map or blueprint is a ratio. Ingredients sometimes need to be mixed using ratios such as the ratio of water to cement mix when making cement. Watch this tutorial to learn about ratios. Then think of some ratios you've encountered before!
What are the Means and Extremes of Proportions?

A proportion is just an equation where two ratios are equal, and each piece of the proportion has a special name. This tutorial will teach you those names, and this will help you understand cross multiplication when you learn it later!
How Do You Solve a Word Problem Using a Proportion?

This tutorial provides a great real world application of math. You'll see how to use the scale from a blueprint of a house to help find the actual height of the house. This tutorial shows you how to use a proportion to solve!
How do you Figure Out if Two Figures are Similar?

Follow along with this tutorial to see an example of determining if two given figures are similar.
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!
How Do You Find Equivalent Ratios?

Ratios are used to compare numbers. When you're working with ratios, it's sometimes easier to work with an equivalent ratio. Equivalent ratios have different numbers but represent the same relationship. In this tutorial, you'll see how to find equivalent ratios by first writing the given ratio as a fraction. Take a look!
How Do You Know If Two Ratios are Proportional?

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. To see this process in action, check out this tutorial!
How Do You Write a Ratio From a Word Problem?

Sometimes the hardest part of a word problem is figuring out how to turn the words into a math problem. In this tutorial, you'll see how to take the information given in a word problem and write a ratio. Then, reduce the ratio and explain its meaning. See it all in this tutorial!
How Do You Use Unit Rates to Compare Rates?

Word problems allow you to see the real world uses of math! This tutorial shows you how to use ratios to figure out which store has a better deal on cupcakes. Take a look!
How Do You Use Dimensional Analysis to Convert Units on One Part of a Rate?

Word problems are a great way to see math in action! In this tutorial, learn how to use the information given in a word problem to create a rate. Then, find and use a conversion factor to convert a unit in the rate. Take a look!
How Do You Use Dimensional Analysis to Convert Units on Both Parts of a Rate?

Word problems are a great way to see math in action! In this tutorial, learn how to use the information given in a word problem to create a rate. Then, find and use conversion factors to convert the rate to different units!
How Do You Solve a Proportion by Finding an Equivalent Ratio?

Trying to find a missing value in order to create a proportion with two ratios? Take the ratios in fraction form and identify their relationship. Use that relationship to find your missing value. This tutorial will show you how!
How Do You Solve a Proportion Using the Multiplication Property of Equality?

Trying to find a missing value in a ratio to create proportional ratios? You could use the multiplication property of equality! In this tutorial, see how to use this property to find a missing value in a ratio. Take a look!
How Do You Find Missing Measurements of Similar Figures Using a Scale Factor?

Looking at similar figures? Want to find a missing measurement on one of the figures? You could use a scale factor to solve! In this tutorial, learn how to create a ratio of corresponding sides with known length and use the ratio to find the scale factor. Then, write an equation using the scale factor to find your missing measurement!
How Do You Find a Scale Factor in Similar Figures?

Have similar figures? Want to find the scale factor? Then check out this tutorial! You'll see how to use measurements from similar figures to create a ratio and find the scale factor.
How Do You Solve a Scale Model Problem Using a Scale Factor?

This tutorial provides a great real world application of math! You'll see how to use the scale on a house blueprint to find the scale factor. Then, see how to use the scale factor and a measurement from the blueprint to find the measurement on the actual house! Check out this tutorial and see the usefulness blueprints and scale factor!
How Do You Find the Scale of a Model?

Want some practice with scale? Then check out this tutorial and you'll see how to find the scale of a model given the lengths of the model and the actual object. Take a look!
How Do You Use the Scale on a Map to Find an Actual Distance?

Maps help us get from one place to another. In this tutorial, you'll learn how to use a map to find an actual distance.
How Do You Figure Out What Size a Model Should Be if You Have a Scale?

Before tall sky scrapers are build, a scale model of the building is made, but how does the architect know what size the model should be? Follow along with this tutorial to find out!
What is Dimensional, or Unit Analysis?

If youÃ¢â‚¬â„¢re solving a math problem or word problem that contains units, you need to remember to include your units in your answer. By using dimensional analysis or unit analysis, you can include those units as you solve! Watch this tutorial and take a look at dimensional analysis!
What is a Scale?

In math, the term scale is used to represent the relationship between a measurement on a model and the corresponding measurement on the actual object. Without scales, maps and blueprints would be pretty useless. Check out this tutorial and learn about scale factor!
How Do You Put Fractions, Decimals, and Percents in Order?

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!
How Do You Turn a Percent Into a Fraction?

Looking for some practice converting percents to fractions? Then this tutorial was made for you! Follow along as this tutorial shows you how to convert a percent to a fraction. Then, reduce the fraction to put it in simplest form. Check it out!
How Do You Turn a Fraction Into a Percent?

Looking for some practice converting fractions to percents? Then this tutorial was made for you! Follow along as this tutorial shows you how to convert a fraction to a percent.Take a look!
How Do You Turn a Decimal into a Percent?

Converting decimals into percents is easier than you may think! To convert a decimal to a percent, just move the decimal point to places to the right and put a percent sign at the end! To see it done, check out this tutorial!
How Do You Use a Proportion to Find a Whole?

Taking a percent of a number? Trying to figure out the result? Use a percent proportion to solve! This tutorial will show you how!
How Do You Use an Equation to Find a Whole?

Taking a percent of a number? Trying to figure out the result? Use a percent equation to solve! This tutorial will show you how!
How Do You Figure Out the Price of a Marked Up Item?

The price of items is always changing. You've probably went to the store to buy an item and found that its price has been marked up. In this tutorial, learn how to figure out the new price of an item that was marked up. Take a look!
How Do You Figure Out Whether a Percent of Change is an Increase or a Decrease?

Word problems are a great way to see the real world applications of math! In this tutorial, you'll see how the percent of change can be found from the information given in a word problem. Check it out!
What is the Percent Equation?

Taking a percent of a number? Percent equations can be very helpful in solving such a problem, but what are percent equations? Watch this tutorial to learn about percent equations!