Online Algebra II Tutor
Get an Algebra II Tutor in Seconds
What needs to be done to get a Tutorzilla Algebra II Tutor? All that is needed is an internet connection and a browser. That's it. Also your first Algebra 2 session is FREE! That is right, No Credit Card Required. We have such faith in our Algebra 2 tutoring that the first session is completely free, and we don't want your credit card information. Please complete these steps to improve your Algebra II abilities:
Step 1:
Open an account: This is a very basic step which, once it is completed, gives you full access to our Tutoring Services. You can open your account by clicking HERE.
Step 2:
Lining up your Algebra II Session: The Scheduler, which is located on Your Account page, allows you to select the date and time you want your session. The convenience of this allows you to line up your session in the future and know help will be there when you need it.
Step 3:
Your Algebra II Tutor online: Now that you have booked your session, it is listed under the session manager. On the day and time of your session, go to the session manager on your account page and click the start session button. Your Algebra tutor will be waiting!
That is all you have to do. Tutorzilla Algebra II tutors are available whenever and wherever you need them. Now is the time to start improving your grades!
Overview of Algebra II
Algebra II is intermediate algebra and serves as a gateway to trigonometry. Our tutors will build on concepts covered by your Algebra 1 foundation and prepare you for advanced mathematics courses. You will be challenged to extend your knowledge and understanding by solving open-ended problems and thinking critically.
So what does Algebra II cover? It includes the following topics: conic sections; functions and their graphs; quadratic functions and inverse functions; advanced polynomial functions; an introduction to rational, exponential and logarithmic functions; sequences and series; and data analysis. If these topics sound scary or unmanageable, have no fear! We have a great Algebra 2 tutor waiting to explain these concepts to you in a language you can understand, and you too can conquer Algebra II!
Conic Sections
The two most well-known conics are the circle and the ellipse. Ok, so we all know what a circle looks like, but what is an ellipse? An ellipse is what happens if a conical surface is cut with a plane which does not intersect the cone's base. When that intersection of the cone and a plane result in a closed curve, we get an ellipse. Many times, an ellipse looks like a stretched out circle. So what is a circle in "mathspeak"? A circle is a special type of ellipse that is constructed when when a right circular cone is intersected with a plane perpendicular to the axis of the cone. Once you get this down, you can move onto functions and their graphs.
Functions & Their Graphs
A function is a mathematical expression showing dependence between two quantities, the independent variable which is given, and the dependent variable which is produced. So what does that mean? Well, let's break it down. You will see that functions are often denoted by letters, and the way we'll see it notated is: for the output of a function ƒ with the input x is ƒ(x), or we'd say f of x. Here is the rule though: we can only define a function for certain inputs, and the collection of these inputs is called the "domain" of the function. If we have inputs, we should have outputs too, right? Right! The set of all outputs we get after we plug our inputs in is called the "range" of the function.
So we have a function, now what do with it? No, you don't stuff it in your backpack and take it home for dinner! We keep it on the page and present a function by a formula, by a plot or graph, by an algorithm that computes it, or by a description of its properties. Sometimes, a function is described through its relationship to other functions, like an inverse function, discussed in the next section. You will not only learn about functions and how to graph them, but they will also learn an idea of enormous importance in all of mathematics, which is: if z is a function of y and y is a function of x, then z is a function of x. Ummm....what? Don't worry, our online algebra tutors can walk you through these concepts and how they work, so jump on in and get your feet wet with your first session today!
Quadratic & Inverse Functions
So, we've got functions down now, yes? Well, let's move along to a special kind of function called a quadratic function. A quadratic function is a polynomial function of the form f (x) = ax2 + bx + c, where a cannot be equal to zero. What do we use it for? We use quadratic functions for the calculation of the area of a square. A quadratic function is also referred to as a second degree polynomial, because the highest exponent of x is 2. Something unique happens when we set a quadratic function equal to zero, because the result is a quadratic equation. The solutions to the equation are called the roots of the equation or the zeros of the function.
So now we know about quadratic functions, but what is an inverse function? The opposite of the original function of course! But what does that look like? Let's say we have y = f(x). The inverse of this function would be f-1(y) = x. Not every function has an inverse, and those that do are called invertible.
If you thought you could leave those polynomial function concepts from Algebra I behind, be prepared to stand corrected. They make another appearance in Algebra II, and will haunt your future calculus days if you don't get them right! You will take it one step further and work with advanced polynomial functions. If you're lost in mathland, don't be afraid to ask our homework tutors as many questions as you need to in order to truly understand the concepts.
Rational, Exponential & Logarithmic Functions
Functions, functions, and more functions! We move now to the realm of rational, exponential, and logarithmic functions. Log-a...what? Hold on, let's start at the beginning with our rational mathematical friends. A rational function is any function which can be written as the ratio of two polynomial functions. What does it look like? In the case of one variable, x, a rational function comes in this form:
f(x) = P(x)
Q(x)
where P and Q are polynomial functions in x, and Q is not zero. The domain of "f" is the set of all points x for which Q(x) is not zero.
Next we have an exponential function, which is one of the most important functions in mathematics. The application of this function to a value x is written as exp(x). You will also see it written in the form ex, where e is a mathematical constant, the base of the natural logarithm, which equals approximately 2.718281828, and is also known as "Euler's number". Who gets to have a number named after them? The mathematician who discovers it! In this case, Leonhard Euler discovered this constant in the 18th century, and if you keep striving in your math studies, someday kids may study your number!
Ok, onto the log-a-something functions. In a LOGARITHMIC function, a logarithm (to base b) of a number x is the exponent y that satisfies x = by. What does a logarithmic function look like? When we see written, it will generally take the form: logb(x) or, if the base is implicit, as log(x). To think of it in other words, y = logb(x) is equivalent to x = by, with the "log" word taken out, but it means the same thing mathematically.
You won't get a bunch of different answers for each logarthmic function either. There is one logarithm function for each positive value of the base b (except for the number 1). Eeek! Don't run out of your math class screaming and pulling your hair! If this function business doesn't make sense to you right away, we are here for that reason: to help you unlock the concepts with exceptional Algebra 2 tutoring!
Sequences, Series & Data Analysis
Ok, one more Algebra II section and you can do it! This time we'll start with a nice, tame mathematical sequence. That's not so scary, is it? A sequence is an ordered list of objects or events. Like a set, it contains members, and the number of terms is called the length of the sequence. Like trying to find your seat at a baseball game, the order matters, and the same elements may appear multiple times at different positions in the sequence.
Are we talking about the World Series here? No, but we are here to talk about another kind of series: a mathematical one. A series is often represented as the sum of a sequence of terms. In other words, a series is represented as a list of numbers with addition operations between them. Let's look at a arithmetic sequence we all know: 1 + 2 + 3 + 4 + 5 + . . .+ 98 + 99 + 100. It can get more complicated than this of course, but your Algebra Tutor is here to answer just those kind of questions!
The final Algebra II concept you will cover is data analysis. Data analysis is a process of transforming data with the end goal of extracting useful information and facilitating conclusions. What does that mean? It means if you want to know how to write your favorite baseball player's stats, you need to know what you're doing with data analysis!
So are you are an Algebra II pro now? Good, then you are ready to move right along to getting an online geometry tutor.
