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Title: ALGEBRA BASICS
Description: This notes gives an overview of Algebra and introduces the concepts of unknown values and variables. It also explains that multiplication is implicit in Algebra.

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Algebra Basics: What Is Algebra? In this lesson, we learn about algebra, a branch of mathematics that introduces the element of
the unknown
...
We also learn how algebra is used in the real world to describe and predict
things
...

Symbols are used to represent unknown values in equations, and the goal is to figure out what
the unknown values are
...
Algebra is used in fields like
science, engineering, economics, and computer programming
...
We learn about equations, variables, and how multiplication is the default
operation in algebra
...


Algebra Basics: Solving Basic Equations Part 1 we learn how to solve some simple Algebraic equations that just involve addition and
subtraction
...
In the next video, we will learn how we can solve simple equations involving
multiplication and division
...
Then
...
Whenever we do
something to an equation, we have to do the same thing to [UNK] sides
...
And
...
TO solve for the unknown value & x & in an [UNK] x + 7 =
15
...
Unknown value is on the right hand side of the equation
...
WE want to get & x & by itself, but this time &x & is being added to 25
...

Thanks to the commutative property, that &s the same as 25 being added
...
But
...
THe minus 25 cancels out the positive 25 that was there
...
SO
...
Do
...
You switch the order of subtraction,
it &s a different problem
...
But
...
You just need to get the unknown value all by itself by adding or subtracting
something from both sides of the equation
...
And
...


Algebra Basics: Solving 2-Step Equations we learned how to solve simple equations that had only one arithmetic operation in them
...
To solve equations that have two arithmetic operations in them are going to
require two different steps to solve them
...
To undo those two operations, we need to use their inverse operations subtraction
and division
...
The best strategy is to apply those order of operations rules in reverse when
solving equations
...
Math's order of operations rules say we are
supposed to do operations that are inside of groups first
...
So in this problem,
we should start by undoing the multiplication that 's implied between the 2 and the group x + 2
to multiply both sides by 2
...
So our answer is x
= 10
...
The x 1 on top forms a group and everything on the bottom of the line forms
another group
...
On the other side, we have 8 plus 1 which is 9
...
Remember to
undo operations using the reverse order of operations rules
...
Practice by trying to solve lots of different problems
Title: ALGEBRA BASICS
Description: This notes gives an overview of Algebra and introduces the concepts of unknown values and variables. It also explains that multiplication is implicit in Algebra.