# Number and algebraic methods. The student applies mathematical processes to simplify and perform operations on expressions and to solve equations.

### Popular Tutorials in Number and algebraic methods. The student applies mathematical processes to simplify and perform operations on expressions and to solve equations.

• #### What is an Absolute Value Function?

An absolute value function is just a function that contains absolute values. This tutorial gives a great introduction to this very useful function!

• #### What Does the Value of 'a' Do in the Exponential Function f(x)= a (bx)?

Multiplying an exponential function by a constant changes the function's graph. Watch the tutorial to find out how!

• #### What's an Exponential Function?

Looking at an equation with a variable in the exponent? You have an exponential function! Learn about exponential functions in this tutorial.

• #### What is Exponential Growth?

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!

• #### How Do You Factor a Trinomial?

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.

• #### How Do You Divide Two Polynomials by Factoring and Canceling?

Simplifying a rational expression? You could factor the numerator and denominator and then cancel like factors. Learn what to do in this tutorial!

• #### How Can You Tell if a Relation is Not a Function?

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.

• #### How Do You Solve a Quadratic Equation with Two Solutions by Graphing?

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!

• #### How Do You Solve a Quadratic Equation by Factoring?

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!

• #### How Do You Graph a Quadratic Function?

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!

• #### How Do You Simplify Radicals Using the Product Property?

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!

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!

• #### How Do You Graph a Square Root Function Using a Table?

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.

• #### How Do You Factor a Polynomial Using the A-C Method?

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.

• #### How Do You Factor a Polynomial Using Sum of Cubes?

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.

• #### What is the Standard Form of a Quadratic?

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!

• #### How Do You Add Two Rational Expressions with Different Denominators?

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!

• #### How Do You Find the Least Common Denominator of Two Rational Expressions?

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!

• #### How Do You Multiply Two Rational Expressions?

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!

• #### How Do You Do Long Division With Polynomials?

Dividing polynomials? Use long division! Follow along as this tutorial shows you how to perform long division with polynomial. Check it out!

• #### What is Domain?

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!

• #### What's the Inverse 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!

• #### What's a Function?

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!

• #### How Do You Translate a 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!

• #### How Do You Add Complex Numbers?

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.

• #### What is the Imaginary Unit i?

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.

• #### How Do You Find All the Rational Zeros of a Polynomial Function?

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.

• #### What is the Fundamental Theorem of Algebra?

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.

• #### What is the Factor Theorem?

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.

• #### How Do You Find the Cube Root of a Perfect Cube?

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.

• #### How Do You Find the Sum of Two Functions?

Adding functions is easier than you might think! Follow along with this tutorial to learn how to add two functions together.

• #### What are Rational Exponents?

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!

• #### How Do You Convert From Exponential Form to Logarithmic 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!

• #### How Do You Graph the Natural Base Exponential Function?

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.

• #### What is a Logarithm?

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.

• #### What is the Natural Base Exponential Function?

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.
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