21 Algebra 2 Tutorials

These Algebra 2 tutorials are written by experienced educators, all of whom also offer private tutoring lessons. Get the Algebra 2 help you need, whether through these tutorials or through private tutoring lessons.

Conic sections : vertices, foci and eccentricity of an ellipse.

From the equation of a conic section, here an ellipse described by 9x^2 + 36y^2 = 324, we will find vertices, foci and eccentricity. Given the equation, an oval of center (H,K) can be traced. A path of points traced (x,y) so that the sum of its distances from two fixed points is constant. The…

Remainder Theorem

the problem exploits the fundamental concept of the remainder theorem. if a polynomial f(x) is divided by Q(x), then the remainder R(x) is a polynomial whose degree is less than the degree of Q(x). If Q(x) is a quadratic expression, then R(X) is at most a linear expression.Also, if a polynomial f(x) is divided by…

Systems of Equations

When solving a system of equations involving two or more variables, one must rewrite equations so that one variable is solved in terms of the other. Then the last equation can be used to “plug in” values and solve.

Factoring Quadratic Equations

Factoring quadractic equations is an essential skill in Algebra 2. This skill may seem difficult at first but it’s actually pretty simple once you understand the steps.

Function Composition

Function composition is a neat little operation because it allows you to put one entire function in for another function.

Evaluate variable expressions involving integers

Starting with the basics is variables (symbols for an unknown number, usually a letter like x or y) involving integers (an integer is a whole number, not a fraction). “Evaluate variable expressions involving integers” is the same as saying “solve for x using whole numbers”. With this, we need to know the following: 1) We…

Evaluate variable expressions involving rational numbers

Variable expressions involving rational numbers are one of the first lessons in Algebra 2. A rational number is basically a fraction or a decimal, but it can’t repeat forever (infinity). Technically, it’s “any number that can be expressed as the quotient or fraction p/q of two integers.”-mathforum.org. For example, .8, which can be expressed as…

Solve Absolute value inequation.

The absolute value has two parts so like |x| can be written as x for x>=0 and -x for x

Introduction to Complex Numbers

Consider the equation x^2=-1. Since squaring any number is 0 or larger, no real number will make this equation true. Create a number i such that i^2=-1. By “adding” i to the real numbers, the complex numbers (having the form a+bi where a and b are real numbers) are created. Visually represent a point a+bi…

Factoring Polynomials

Factoring polynomials is extremely important in your growth as a mathematician, but why? When we factor polynomials, we are finding the zeros of the function – meaning we are finding the places where the graph of the function crosses the x-axis.