# Algebra 2

Sub Topics

Algebra 2 makes you learn the basics of Equations, Inequalities, Linear equations, Matrices, Determinants, Quadratic equations and factoring equations. This is one of the important phase of study to get more acquainted with the subject knowledge.

## Algebra 2 Topics

The Algebra 2 covers the following topics:

Chapter 1: Equations

Chapter 2: Inequalities

Chapter 3: Linear Equations

Chapter 4: Matrices

Chapter 5: Determinants

Chapter 7: Factoring

Chapter 8: Polynomials

Chapter 9: Exponential Functions

Chapter 10: Logarithmic Functions

Chapter 11: Sequences and Series

## Algebra 2 Formulas

Some of the algebra 2 formulas are

(a+b)2= a2+b2+ 2ab

(a-b)3= a2+b2-2ab

(a+b)3= a3 +b3+3ab(a+b)

(a-b)3= a3-b3- 3ab(a-b)

nCr= n !/ (n-r) ! r !

nPr= n!/(n-r) !

nCr= nCn-r

## Algebra 2 Problems

### Solved Examples

Question 1: Solve x2 - 9 = 0
Solution:
Given: x2 - 9 = 0

x2 = 9

x = $\pm$ $\sqrt{3}$

Question 2: Solve $\frac{x}{3}$ + $\frac{4x}{2}$ = 9
Solution:
Given: $\frac{x}{3}$ + $\frac{4x}{2}$ = 9

$\frac{2x + 12x}{6}$ = 9

14x = 54

Take 14 on both sides

x = $\frac{54}{14}$

## Algebra 2 Practice

### Practice Problems

Question 1: Solve the equation

3x + 2y + z = -6
x - y + z = -2
2x + 2y  - 3z = 3
Question 2: Factorize x6 - 128
Question 3: Factorize (x + 3)2 - 9
Question 4: Solve for x,

3x2 - 24 = 8