# Algebra Equations

Sub Topics

Algebra equation contains the terms like numbers, integers, fractions, roots, exponents, ratios, graphing etc. Pre algebra equation is the simple equation which can be solved easily without any complex calculations. Linear equation is an algebraic equation in which each term is either a constant or the product of a constant and with a single variable. It contains one or more variables. It occurs with great regularity in applied mathematics.

Example:  Solve Algebra equation 2x + 4 = 0

Need to solve X

4x + 8 = 0

Take -8 on both sides

4x = -8

X = -$\frac{8}{4}$

X = -2

## Algebra Linear Equations

Linear equation is an algebraic equation in which each term is either a constant or the product of a constant and with a single variable. It contains one or more variables.

Properties

Linear equations occur with great regularity in applied mathematics.

Slope can be identified by linear equation.

Non-linear equations May be reduced to linear equations

Example: Find the slope of given line 2x + 3y = 0

Given line is: 3x + 5y = 0

Slope = - $\frac{y}{x}$

Y = 5

X = 3

M = Slope = -$\frac{5}{3}$

## Algebra Quadratic Equations

Algebra quadratic equation contains variables in it which can gives us value of the variables. Here will get 2 values for each equation since its quadratic equation. Depending on equation we can decide whether the roots are real imaginary or complex.

Example : x+ 16x + 16 = 0

16 = 4x2

The equation can be re written as

x+ 4x + 4x + 16 = 0

x ( x + 4 ) + 4 ( x + 4 ) = 0

x + 4 ( x + 4 ) = 0

x = -4, -4

## Algebra Equations Examples

Below you could see algebra equations examples

### Solved Examples

Question 1: Solve 2x + 12 = 0
Solution:
2x + 12 = 0

Put all the variables aside and value on other side.

We get, 2x = -12

Now to get x value divide both sides with 2

$\frac{2x}{2}$ = -$\frac{12}{2}$

x = -6

Question 2: Solve the equation x2 - 4 = 0
Solution:
x2 - 4 = 0

Add 4 on both the sides we get,

x2 = 4

To avoid a square put square root on both the sides

x = $\pm$ 4

x = 2

## Solve Algebra Equations

Algebra equation solver is to solve the equation and to get the value of variables.

The following are the important things that need to be noted down in algebra equations

Variables:

The variable is the important thing that needs to be considered in online pre algebra equations.

Operations:

Operations such as (+, -, x, /) are the operations that plays an important role in online pre algebra equations.

Values:

We should enter the correct and valid values to get a perfect answer in online pre algebra equations.

Example 1: Solve x + 3 = 0

To get the value x send +3 to other side, we get

x = -3.

Therefore x is -3.

It is very simple it only deals with whole numbers in the above example.

Example 2: Solve Algebra equation 9 + x - 3 if x = 4

Given Algebra equation : 9 + x - 3

X = 4

Substitute x = 3

9 + 4 - 3 = 9 + 1

= 10

The value of given expression is 10.