10 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.

Part 2 Verbal Problems Systems of Equations

This is the second part with problems 4-6.

Verbal Problems Solving for two unknowns with two equations

This Tutorial I wrote presents six problems with increasing difficulty that use Substitution and Elimination methods to obtain both unknowns. I will break it up into two parts.

EXPONENTS

This tutorial will not give the solution to a specific problem. Rather it will show how we define the definition of a number raised to the zero power, a fractional power or a negative power.

A Complicated Logarithm Problem

I hope you know that the following theorems are true log_ab^c=c*log_ab log_ax + log_ay = log_a(x*y) log_ax - log_ay = log_a(x/y) We are going to use all of these theorems to simplify a complicated logarithm expression

What is a Logarithm

For every function there is an inverse function. If y can be written as an expression of x, then, inversely, x can be written as an expression of y. For example, say you know that y=2*x. Then… x = \frac{y}{2}} An exponential, like all functions, has an inverse. That inverse is called a logarithm. So…

Completing the square

Completing the square is a technique that changes the form in order to easily find the maximum or minimum of the quadratic expression.

Mathematical Induction

Mathematical induction is a form of proof that takes place in two parts. It is surprisingly useful. Part 1) Prove that the statement is true for the number 1. Part 2) Prove that if it is true for any number n then it is also true for the number n+1. Think about it… we first…

Square Roots of Complex Numbers

Just like for real numbers there will be two square roots for a complex number. Finding these roots involves solving a system of two equations in two unknowns Let’s say we want the square root of 3 + 4i. The square root will be of the form a + bi Then $(a+bi)^2 = a^2 +…

Multiplying Complex Numbers

We wish to multiply two complex numbers, say (a+bi)(c+di) We will use the FOIL method: First Outer Inner Last. ******************************************** PLOT (PL)(OT) (PO) + (PT) + (L0) + (LT) F…………O…………I…………L your plot has been foiled :) ********************************************

Preparing for Algebra 2

All too often, students begin classes in algebra II without a clear understanding of what is required to have a smooth and fulfilling learning experience. Obviously, a good grasp of concepts, processes and procedures introduced in algebra I is of paramount importance. Beyond this, the student should be aware that algebra II delves heavily into…

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