Algebra: How To Start and Why You Really Need to Practice a Lot

The most importand factor about algebra and mathematics is that you really need to practise in order to understand the concepts. There are a lot of algebra books, tutorials, interactive lessons, online tutors and courses that can help you a lot, but without some homework and practise you are bound to fail.

You cannot remember the thousands of algebra concepts and equations without truly understand what each equation really means. What is the reason behind every algebra concept.

A key factor is to take small steps. For example learn one algebra equation, practise it for a couple of days, then move on to the next. Move on only if you feel comfortable with what you've learned. Every time you move on to the next algebra concept increase the difficulty of the equations or the exercises you're trying to solve.

Follow this procedure and soon you'll notice that your brain will be able to absorb mathematics and algebra quicker and easier. You will start to like it.

Another thing is that algebra requires you to apply specific rules. You will find these basic rules in a lot of equations and algebra concepts. The more you practise the basic algebra rules the better you'll become at learning different and more difficult algebra concepts.

A lot of people learning algebra miss out on the basic rules. In the end they mess up everything. Remember, rules are everywhere. Our society is based on specific rules. Same goes for algebra. Treat algebra rules like a game and you'll like it.

You may end up wondering.. Why should I learn math and algebra? That's a good question. You must ask yourself this question before you go on. Algebra will help you solve problems, make decisions, apply strategies and a lot more. If you want your skills to worth gold then you have to learn math and especially algebra. If you want your mental powers to reach top level then you have to learn algebra.

If you like mathematics then you know that in order to move to advanced mathematics you have to know the basics of algebra. Algebra is everywhere in your everyday life. This is a great advantage when trying to learn algebra. Why? Because you can take the a real situation and turn it into an algebra concept or equation.

Always ask yourself.. why? Here is a simplified example. You walk on the street and you see a girl carrying a birdcage. Inside the birdcage there are 4 little birds. Suddenly the cage's door opens and one of the birds escapes. You can turn this incidence into a simple algebra equation:

3 - 1 = 2

See what I mean? Now that's the first step! After that it will be easy to turn live complicated situations into algebra concepts. Your brain will soon become familiar with the idea. And soon you will be able to turn your entire life into algebra!

If you are a starter then you have to take a look at this interactive math tutor that will help you master the concepts of mathematics quickly. You can try the free demo lessons. It will help you a lot to get started and boost your self esteem. These fine tuned interactive algebra e-courses will help you learn faster, easier, with a funny and entertaining approach.

Algebra for Dopes - It Ain't That Hard - The Quadratic Equation - Part II

As mentioned in Part I of this series, mastering algebra requires little more than clear-cut explanation and some concerted practice. Conquering the diverse aspects of this field necessitates focused thought and willingness to see through the trees to view the forest. Rather than view algebra-which encompasses many different topics and has vast extensions throughout-in one fell swoop, it is much better to view this subject piecemeal. This is the approach that will be taken in this series of articles.

Learning quadratic equations is one of the key plateaus in algebra as this opens the door to higher degree equations and even the calculus. One of the difficulties with this subject area is that the quadratic has many ways of being conquered, so to speak, that is to say, solved. Essentially there are three ways to solve a second-degree, or quadratic equation: one is by factoring; two is by completing the square; and three is by using the famous quadratic formula.

Now this is where it gets a little sticky since each of these three methods is a whole field within itself. Of the three methods, both the formula and the completing the square will always work on any quadratic equation. Factoring will only work on a subclass of the entire class of second-degree equations, and it is this class that we will discuss briefly here. Specifically, we will look at the subclass of factorable quadratics which have terms with all positive coefficients. That is, if we consider the general quadratic ax^2 + bx + c, then a, b, and c will all be positive. For the sake of classification, we will call this subclass of quadratics the "abc positives."

In order to solve an "abc positive" by factoring, it is necessary that the multiplicative factors of the c-term be able to combine additively or subtractively to the b-term. Now that this is starting to sound like a lot of mumbo jumbo, let's break this down and show how simple this really is. Let's do this with a specific example. Take x^2 + 7x + 12. The pair-wise factors of 12 are 1 and 12, 2 and 6, and 3 and 4. When we multiply any of these pair-wise factors we get 12. We look for the pair that combines additively or subtractively to give 7. It is obvious that only 3 and 4 do.

From this, we factor as such: x^2 + 7x + 12 = (x + 3)(x + 4). The solution to this quadratic is now the opposite of 3 and 4, or -3 and -4. That is, if we substitute -3 or -4 into the original quadratic equation, the result will be 0, for this is what it means for a number to solve a quadratic equation: it makes the equation 0 upon substitution. I leave it to the reader to verify that -3 and -4 do indeed do this.

After taking a look at one more, you will now have the secret to solving the entire subclass of abc positives. Take x^2 + 9x + 20. The pair-wise factors of 20 are 1-20, 2-10, and 4-5. The only pair that add to 9 are 4-5. Thus x^2 + 9x + 20 = (x + 4)(x + 5) and the solutions are -4 and -5. Once again, you can confirm that when each of these values is substituted back into the original quadratic, you will get 0.

When the vast subject of algebra is broken down to size, you start to see that it really is not as difficult as some might make it. In fact, you might start to see that it really is quite understandable. After looking at this approach, you come to realize that anyone could master this field. It really is true: algebra really ain't that bad. And once algebra is mastered, you can be thrilled to know that mathematics opens up a magical door which leads to a rich world of discovery.

See more at Cool Math Site and Cool Algebra Ebooks

Joe is a prolific writer of self-help and educational material and an award-winning former teacher of both college and high school mathematics. Under the penname, JC Page, Joe authored Arithmetic Magic, the little classic on the ABC's of arithmetic. Joe is also author of the charming self-help ebook, Making a Good Impression Every Time: The Secret to Instant Popularity; the original collection of poetry, Poems for the Mathematically Insecure, and the short but highly effective fraction troubleshooter Fractions for the Faint of Heart. The diverse genre of his writings (novel, short story, essay, script, and poetry)-particularly in regard to its educational flavor- continues to captivate readers and to earn him recognition.

Joe propagates his teaching philosophy through his articles and books and is dedicated.

Algebra - Masterminding Maths in the Easiest Way

When a child first steps into his kindergarten school room, he looks at the world with rose colored glasses. Hardly does he realize what is waiting for the next twenty years of his educational life. He is introduced to his alphabets first and starts to play with his 'A B C D'. In his days of playschool, it is beyond his imagination, how his A, B, C and X Y Z can cause him spending a chain of sleepless nights in a row before his mathematics examination. Mathematics is one subject which ends up terrorizing some of us (better to be read as many) throughout our student life. It is in fact amusing to note how some researches show the percentage of mathematics freaks being elevated among the fairer sex. With so much mathematical troubles especially in a difficult and intricate field like algebra, most of us need guidance in mathematics beyond the reach of classroom teaching.

All those people who are stricken by continued euphoria due to the problematic combination of numeric's and alphabets, should opt for the specialized coaching classes held for educational assistance in mathematics. Algebra mainly deals with the study of the relation between quantity and construction of variables by basic addition, subtraction, multiplication and division at its root frameworks. At a little more advanced stage, it also demands the factorization and roots of different numbers, polynomials and variables in question. The elementary classified segments in algebra are pre-algebra, linear-algebra, elementary algebra, abstract algebra and universal algebra.

The crucial fields of algebra which students require to specialize in are basic equations, polynomials, a single or a set of variables and fundamental arithmetic. The usually required for concepts are fundamental theorem, the quadratic, linear, cubic, polynomial, quintic and quadratic equation. Tutors for the most sought after topics of algebra are very easily found these days as competent professors and teachers and even people in other respectable positions are taking up tutoring as their part time earning. You can not only find tutors online, but also avail the algebra tuitions given out over the net. Even nowadays so many recorded tutorial CD's are also available in the market to help you learning algebra. So if you want to be an adept in Algebra it's time to improve your knowledge, this could be a private tutor or an online tutorial both can play a significant role to enhance your knowledge-base.

Search web sites for Experienced online algebra tutor. It is an easy and hassle free way to find good tutor online.

A B C of Solving Quadratic Equation

An expression of the type a x ² + b x + c = 0 , ( a ≠ 0 ) is called a quadratic equation in the variable x .

The equation a x ² + b x + c = 0 is called the general (or, standard form)

We can solve a quadratic equation by (1) factorization or by (2) applying the formula.

The formula of finding the roots of the quadratic equation is as follows

x = (- b ± √ (b ² - 4 a c) ) / 2 a

Now we will discuss how to solve applied problems. Due to wide variety of applied problems, there is no single solving technique that works in all cases. However the following suggestion proved helpful.

Step: 1 Read the problem carefully and determine what quantity (s) must be found.

Step: 2 assign a variable name to the quantity.

Step: 3 try expressing the problem algebraically, and as well determining which expressions are equal and write the necessary equation (s).

Step: 3 solve the resulting equation (s)

Now go through a simple problem based on formation of quadratic equation and solving

Problem: The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is 58 / 21 . Find the fraction.

Solution:

Let the numerator of the fraction be x (x be an element of I )

Then its denominator is (2x + 1).

So the fraction is x / (2x + 1))

And the reciprocal would be (2 x + 1) / x

According to the problem:

(X / (2 xs + 1)) + ((2 x + 1) / x) = ( 58 / 21 )

(X ² + (2 x + 1) ²) / (x + (2x + 1)) = ( 58 / 21)

[L. C. D is = ( x + ( 2x + 1 ) ]

21 ( x ² + 4 x ² + 4 x + 1 ) = 58 x ( 2x + 1 )

105 x² + 84 x + 21 = 116 x ² + 58 x

11 x ² - 26 x - 21 = 0

11 x ² - (33 - 7) x - 21 = 0 [using middle term factorization]

11 x ²- 33 x + 7 x - 21 = 0

11 x ( x - 3 ) + 7 ( x - 3 ) = 0

(x - 3) (11 x + 7) = 0

Either ( x - 3 ) = 0 , or ( 11x + 7 ) = 0 [ using zero factor theorem ]

x = 3 ,

From, (11x + 7) = 0

We get, x = - (7 / 11)

But x is an integer , neglect x = - (7 / 11)

Take x = 3

So the required fraction, (x / (2x + 1)) = (3 / (2 * 3 + 1))

= (3 / 7)

Now try the following:

The age of a man is twice the square of the age of his son .Eight years hence the age of the man will be 4 years more than thrice the age of his son. Find their present age?

If you cannot solve this problem, you probably need more practice. A good online tutor would be helpful if you plan to master this subject in a short period. Any reasonably good math tutor should do.

Ishani Dutta is an educator who specializes in providing online tuition packages for Mathematics and English. For similar tips on different topics like pre-algebra, co-ordinate geometry, essay writing,english grammar, mailto:info@learningexpress.biz or go to: [http://www.learningexpress.biz] for online help

Quadratic Equations - An Introduction

Quadratic equations are the algebra topic taught to grade ten or eleven students. The word quadratic means, degree two in mathematics. Therefore any equation in degree two is called a quadratic equation. The form of standard quadratic equation is written as given below:

ax² + bx + c = 0

Where, "a", "b" and "c" are the real numbers and "a" can't be zero because in that case the quadratic term "ax²" becomes zero and the equation itself lose its identity and change to linear equation (degree one) which can be written as "bx + c = 0".

Some examples of quadratic equations are given below to make their identity more clear.

1. 3x² + 2x + 5 = 0

2. - x² + 3x - 9 = 0

3. x² + 1 = 0

4. - 9x² - 6x - 8 = 0

5. 4y² + 9 = 3y

Keep in mind that any letter can be used as a variable in the equations as I used "x" and "y" in the examples above.

In standard form these equations have three terms; first term in degree two called the quadratic term, second term in degree one called the linear term and third term is a constant number as shown in above examples.

Look at example # 3, there are only two terms in the equation. The term with degree one (linear term) is missing because the coefficient for this term is zero. This example can be written in standard form as shown below:

x² + 0x + 1 = 0

Now you have understood the way to write quadratic equations, the next step is to know about solving these equations. There are many ways to solve, such as solve by graphing, factor method, square root method, completing the square method and last but not least the formula method to solve quadratic equations.

To solve these equations using factoring method basic knowledge of factoring polynomials is required. You can read my articles about factoring polynomials for deeper knowledge about the topic.

To use formula to solve these equations, students should be very confident in radicals and they specially should have good knowledge of square roots. There is a special character used in formula called discriminate and is denoted by "D". The value of "D" is calculated by using the following formula:

D = b² - 4ac

Or in other words, linear coefficient "b" squared minus 4 times quadratic coefficient "a" times the constant term "c".

These equations if plotted on the graph, make a special cup shaped curve called parabola. There is a separate unit in grade eleven or twelve text books to study about parabolas.

There are many applications of these equations in higher algebra and to solve equations in higher degrees.

For more math resources and math worksheets my site can be visited or click for free 2nd grade math worksheets, for your kids in 2nd grade.

Why Algebra Looks So Hard?

What is algebra and what it does?

Algebra is a branch of mathematics. Algebra deals with the variable activities in our daily lives. It comes after learning the arithmetic in math.

What are the variable activities?

Variable means something that keeps on changing. Variable activities are the activities which don't stay the same over time. They keep on changing, for example; some trends can go up or down, left or right and east or west etc.

For example; the weight of a person never remains the same, it keeps on changing by getting lower or higher every day. Sun doesn't stay at the same spot whole day; it looks changing its position all the day along (it is because of motion of Earth around the Sun though). Share markets keep getting higher and lower on every single moment. A worker's pay changers according to number of hours he/she worked.

Finally, it can be said that algebra is study of activities which keep on changing with time. As we have hundreds of changing activities around us, therefore, algebra is everywhere in our daily lives.

What are the basic concepts need to be learned before starting algebra?

There is some basic Pre-Algebra concepts need to learned before starting algebra. These topics are given below;

Basic addition, subtraction, multiplication and division.
Times tables at least up to times by 10.
Know how to write all the factors of a number, finding greatest common factor (gcf) and least common multiple (LCM).
Fractions and operations on fractions.
Decimals
Integers
Order of operations

What are the main topics learned in algebra?

The main topics in algebra are;

Knowledge about the variables
Know the coefficients and constants
Writing algebraic expressions
Simple linear equations in one variable
Polynomials, degree and type
Operations with the polynomials, such as, adding polynomials, subtracting polynomials, multiplying and dividing polynomials
Rational expressions, Factorization
System of linear equations in two and three variables
Quadratic equations, absolute value equations and inequalities
Patterns in general like sequences and series.

Why is algebra hard?

Algebra is not that hard. One can take it as a challenging course. It looks hard as it is based on very very general terms.

Generic terms mean, for example; let's say you are looking for your younger brother, Vicky, in a crowd. You can call him by saying his name, Vicky aloud. Also your brother is a boy, and you can call him by saying, boy aloud. This time the problem is, there is too many boys in the crowd and may be, all of them start looking at you. So, boy is a general name and Vicky is a proper name.

Now if you recognize your brother from his clothes, height or other appearance you can even find him in the crowd by saying boy aloud. It looks hard, though but once your brother recognizes your voice, he will come to you. Same way you need to call algebra aloud (I mean learning it) and it will come to you like your brother.

Algebra has some rules to follow (as your brother has some unique appearance other than his name) and if you follow these rules, algebra is not hard at all.

So, that's all about basic algebra terminology, I could open in front of you according to my little knowledge of the topic.

For basic math content such as 2nd grade math, place value or basic fractions; our sites can be visited by clicking any of the links given in this article.

To learn fractions from basic fractions to adding fractions with mixed numbers or multiplying or dividing fractions lessons and worksheets, stay tuned as more helpful math tips and links to our math pages on its way.

Pre Algebra - A Prefix to the Study of Algebra

Algebra is an integral part of mathematics. It can be considered, a tough subject, if the basics are not clear. And to attend to this requirement of budding students, the education system of United States introduced the course of Pre Algebra. It is generally taught in schools in between seventh and ninth grades. However for practice it can be started from sixth grade too.

The main aim of Pre Algebra courses is to make the students develop a healthy sense of numerical relationships. The main emphasis of the teachers at this level falls on manipulating integers, fractions, percents, ratio and proportions decimals, working with variables; critical thinking, reading and comprehending graphs and general problem are solving tricks.

Algebra works as a major pillar towards understanding the crucial study of Algebra. It gives the foundation towards the main study. Algebra has now become important in schools and college studies. It hampers the ranking and the grade system to score bad in the subject. Similarly Algebra is important for getting good jobs and establishing a successful life. All the big jobs wants employees to be of good numeric and analytical skill and this can be achieved with the help of Algebra. It develops the sense of logic in human being which helps them to face the future complexities of life. However to attain this level the primary factor is the complete and thorough knowledge of Pre-Algebra. To solve the larger equations you need have a good idea on this.. It is important that you learn the tricks of Pre-Algebra from an experienced teacher who can guide you well on the subject.

In every field of life, Pre-Algebra and Algebra are important. If you become a scientist, there is absolute no way to escape the study of Pre-Algebra. Even if you are working in a small firm or a big construction company you need to master the field of algebra.

A good foundation is important to learn to manipulate equations later.

Timcy Hood writes informative and unique articles about Homework help and Algebra 1. One thing that separates Timcy Hood from others is the passion she puts into it, knowing full well and respecting the time viewers spend on reading his work.