# WHAT IS ALGEBRA ? - EXAMPLES WITH A PATTERN - ARITHMETIC WITH LITERALS

Before proceeding further,
see the Algebra page
What is Algebra
if you have not already done so.

You might have already studied numbers,operations on numbers and properties of numbers.you might have applied the knowledge to various problems.

The branch of mathematics in which you studied numbersis ARITHMETIC.

Let us see an example from Arithmetic.

Here is a collection of proven tips,
tools and techniques to turn you into
a super-achiever - even if you've never
thought of yourself as a "gifted" student.

and remember large chunks of information
with the least amount of effort.

If you apply what you read from the above
collection, you can achieve best grades without
giving up your fun, such as TV, surfing the net,
playing video games or going out with friends!

Know more about the Speed Study System.

Great Deals on School & Homeschool Curriculum Books

### Example 1 of What is Algebra :

To answer What is Algebra ,
we give below simple Examples.

Suppose on your birthday, you want to give 2 chocolatesper student.

How many chocolates are needed

i) if there are 10 students?
ii) if there are 20 students?
iii) if there are 30 students?
iv) if there are 40 students?

i) chocolates needed = 2x10 = 20.
ii) chocolates needed = 2x20 = 40.
iii) chocolates needed = 2x30 = 60.
iv) chocolates needed = 2x40 = 80.

Did you observe any pattern?

I am sure you understand, if I write

chocolates needed = 2xNumber of students.

or more simply, chocolates needed = 2xN
where 'N' stands for Number of students.

suppose, you want to give 3 chocolates per studentinstead of 2,
How many chocolates are needed?

I am sure you can answer it as
chocolates needed = 3xN.

If you want to distribute 4 chocolates per student,
chocolates needed = 4xN.

So, chocolates needed = CxN
where C stands for chocolates per student
& N stands for Number of students.

CxN is the generalised answer for the chocolates needed.

This is what Algebra deals with.

So you can say,

Algebra also deals with numbers, but in a general way.
Here Letters are used to represent Numbers.

We observe that use of letter symbols for numbersenables us to generalise oft repeated numericalstatements.

Let us see one more example.

## Research-based personalized Math Help tutoring program : What Is Algebra

Here is a resource for Solid Foundation in
Math Fundamentals from Middle thru High School.
You can check your self by the

### FREE TRIAL.

Are you spending lot of money for math tutors to your
child and still not satisfied with his/her grades ?

Do you feel that more time from the tutor and
more personalized Math Help to identify and fix
the problems faced by your child will help ?

Here is a fool proof solution I strongly recommend
and that too With a minuscule fraction of the amount
you spent on tutors with unconditional 100% money
back Guarantee, if you are not satisfied.

### SUBSCRIBE, TEST, IF NOT SATISFIED, RETURN FOR FULL REFUND

It is like having an unlimited time from an excellent Tutor.

It is an Internet-based math tutoring software program
that identifies exactly where your child needs help and
then creates a personal instruction plan tailored to your
child’s specific needs.

If your child can use a computer and access
the Internet, he or she can use the program.
And your child can access the program anytime
from any computer with Internet access.

### Unique program to help improve math skills quickly and painlessly.

There is an exclusive, Parent Information Page provides YOU
with detailed reports of your child’s progress so you can
monitor your child’s success and give them encouragement.
These Reports include

• Time spent using the program
• Assessment results
• Personalized remediation curriculum designed for your child
• Details the areas of weakness where your child needs additional help
• Provides the REASONS WHY your child missed a concept
• List of modules accessed and amount of time spent in each module
• Quiz results
• Creates reports that can be printed and used to discuss issues with your child’s teachers
These reports are created and stored in a secure section
of the program, available exclusively to you, the parent.
The section is accessed by a password that YOU create and use.
No unauthorized users can access this information.

### Personalized remediation curriculum designed for your child

Thus The features of this excellent Tutoring program are

• Using detailed testing techniques
• Identifing exactly where a student needs help.
• Its unique, smart system pinpointing precise problem areas -
• slowly and methodically guiding the student
• raising to the necessary levels to fix the problem.

### Not a “one-size-fits-all” approach!

Its research-based results have proven that
it really works for all students! in improving
math skills and a TWO LETTER GRADE INCREASE in
math test scores!,if they invest time in using
the program.

Proven for More than 10,000 U.S. public school
students who increased their math scores.

### Example 2 of What is Algebra :

Another simple Example to understand What is Algebra :

Your mother has made some sweets. She wants to keep5 sweets for you, after distributing some sweetsto guests and family members.

How many sweets your mother should make

i) if she distributes 12 sweets to guests and family members.
ii) if she distributes 15 sweets to guests and family members.
iii) if she distributes 19 sweets to guests and family members.
iv) if she distributes 25 sweets to guests and family members.

i) The number of sweets mother should make = 12+5 = 17.
ii) The number of sweets mothershould make = 15+5 = 20.
iii) The number of sweets mothershould make = 19+5 = 24.
iv) The number of sweets mothershould make = 25+5 = 30.

The number of sweets mother should make is: n+5
where 'n' stands for the number of sweets to guests and family members.

Suppose your mother wants to keep 10 sweets for youinstead of 5,
or if your mother wants to keep 25 sweets for you

can you say the number of sweets mothershould make is: n+m
where 'n' stands for the number of sweets to guests and family members
and 'm' stands for the number of sweets for you.

Congratulations. You have caught the spirit of algebra.

Now, you are in a position to define Algebra.

Before defining, let us know the name given tothe letter symbols
( 'C' and 'N' in Example 1and 'n' and 'm' in Example 2 )
standing for numbers.

They are called literal numbers or simply literals.

Thus the question "What is Algebra ?" can be answered as

ALGEBRA is generalized arithmetic in whichnumbers are represented by letterscalled literal numbers or simply literals.

By using literals, we can talk about any numberand not just a particular number. This allows us to write rules and formulas in a general way.

Have you understood " What Is Algebra ?"

For further discussion on What is Algebra and links
to Basic Algebra and other Algebra Topics, Go to

ALGEBRA 1 HELP

There, we will reinforce understanding
What is Algebra, with some more Examples.

## Progressive Learning of Math : What Is Algebra

Recently, I have found a series of math curricula
(Both Hard Copy and Digital Copy) developed by a Lady Teacher
who taught everyone from Pre-K students to doctoral students
and who is a Ph.D. in Mathematics Education.

This series is very different and advantageous
over many of the traditional books available.
These give students tools that other books do not.
Other books just give practice.
These teach students “tricks” and new ways to think.

These build a student’s new knowledge of concepts
from their existing knowledge.
These provide many pages of practice that gradually
increases in difficulty and provide constant review.

These also provide teachers and parents with lessons
on how to work with the child on the concepts.

The series is low to reasonably priced and include

Elementary Math curriculum

and

Algebra Curriculum.