Absolute Values Algebra Help

Introduction to absolute values algebra help:

Absolute values in algebra help are nothing but we are going to get the help on the absolute values in algebra. In this we are going to solve the problems based on absolute value rules. For example the absolute values of the function or numbers are always positive. So if we solve the absolute value functions we will get the two values for the absolute value functions. We will see some example for absolute values in algebra.

Example Problems for Absolute Values Algebra Help:

Absolute values algebra help example 1:

Solve the variable x where |4x + 2| = |2x + 3|

Solution:

The given absolute value function is |4x + 2| = |2x + 3|

From this we can divide this into (4x + 2) = 2x + 3 ………. (1) – (4x + 2) = 2x + 3 ………… (2)

Equation 1:

(4x + 2) = 2x + 3

Add - 2 on both sides

4x + 2 – 2 = 2x + 3 - 2

4x = 2x + 1

Add – 2x on both sides

4x – 2x = 2x + 1 – 2x

2x = 1

So x = 0.5

Equation 2:

-(4x + 2) = 2x + 3

-4x -2 = 2x + 3

Add + 2 on both sides

-4x - 2 + 2 = 2x + 3 + 2

-4x = 2x + 5

Add – 2x on both sides

-4x – 2x = 2x + 5 – 2x

-6x = 5

So x = - `(5 / 6)`

We will see some more examples for absolute values in algebra. It is better to getting help on absolute values in algebra.

Algebra is widely used in day to day activities watch out for my forthcoming posts on How to Simplify Polynomials and The Binomial Theorem. I am sure they will be helpful.

Absolute Values Algebra Help Example 2:

Solve the variable x where |2x + 1| = |x - 1|

Solution:

The given absolute value function is |2x + 1| = |x - 1|

From this we can divide this into (2x + 1) = x - 1 ………. (1) – (2x + 1) = x – 1 ………… (2)

Equation 1:

(2x + 1) = x – 1

Add - 1 on both sides

2x + 1 – 1 = x – 1 - 1

2x = x - 2

Add – x on both sides

2x – x = x – 2 - x

So x = -2

Equation 2:

-(2x + 1) = x - 1

-2x -1 = x - 1

Add + 1 on both sides

-2x -1 + 1 = x -1 + 1

-2x = x + 0

Add – x on both sides

-2x –x = x - x

-3x = 0

So x = 0

These are some of the examples for absolute value problems in algebra. This is better to getting help on absolute values.