Algebra Tips

Algebra is a branch of pure mathematics and forms an interesting curriculum of education in almost all schools, all over the world. In this article, I have presented some algebra tricks and algebra tips, that would be helpful to students and the rest alike. Browse through the algebra tips given below...

The algebra we study in schools is called elementary algebra, that aims to impart the basic meaning to variables and constants. I still remember my first algebra class, when the arithmetic numbers were replaced by alphabets and I was dumbfounded looking at my teacher (duh!). Algebra is broadly classified into many branches. Some other branches of algebra, which are a part of mathematics and are studied at higher levels, are linear algebra, abstract algebra, vector spaces and ring and field theories etc. In elementary algebra, numbers are replaced by letters and symbols and with the help of these letters we solve the problems. For example, if we are asked to find the area of a rectangle (A), given its length (l) and breath (b), we all know its area will be:

Area of rectangle (A)= Length (l) X Breadth (b)

Now, if you know the value of either of the two quantities, among the three variables, we can substitute the value of the two known variables and get the third one! One of the simple algebra tips! Isn't it? We need algebra because it drastically reduces the space for problem solving and lengthy problems can be solved in a few lines. Algebra finds many applications in fields of engineering, finance, economics and architecture!

The mathematical problems in algebra are expressed through algebraic equations. Algebraic equations are a combination of variables and constants. For instance, consider the equation, 3X= 9. This is a simple algebraic equation in one variable. Dividing both sides by 3, we get the solution of this equation as, X=3. Similarly, 3X + 2Y = 8, is an algebraic equation in two variables. Now, since this equation has two variables, we will require another equation with the same variables, to find the solution of this equation. Now consider,

3X + 1Y - 7Z= 8

This is an example of a linear equation in three variables. X,Y and Z are the three variables in this equation. Let's check out some other simple algebra tips! Here in this equation. X, Y and Z are the three variables, whose values can change with the constraint that the left hand side (L.H.S) of the equation must always be equal to the right hand side (R.H.S) of the equation. The numbers 3, 1 and -7 are called the coefficients of X, Y and Z respectively. The respective values of X, Y and Z, which make the L.H.S=R.H.S are called solutions of the given algebraic expression. This is so, because if we take X=3, Y= -1 and Z=0 and put in the above equation, we would get L.H.S=R.H.S.! Try it! You will get 8=8. Its as simple as that! Here, we got the solution with the help of hit and trial method. Suppose, we had to find the solution of this equation algebraically, then we would require two other linear equations in three variables.

Some important algebra tips that are the basics of algebra are as follows

* Add the same number on both sides of an equation. e.g., 5X - 8 = 7 is the same as 5X - 8 + 8 = 7 + 8.
* Subtract the same number on both sides of an equation. e.g. 2a + 4 - 5 = 6 – 5.
* Multiply both sides of an equation by the same (non-zero) number. e.g. (5/6)x = 7 is the same as 6 X (5/6)x = 7 X 6.
* Divide both sides of an equation by the same (non-zero) number. e.g. 2r = 10 is the same as (2r/2) = (10/2).
Order Of Operations- The PEDMAS Rule

There is a famous and important rule of PEDMAS, that is crucial in solving algebra problems. An important algebra tip is to understand the order of operations, that means, the series of steps you need to take while solving a mathematics problem involving squares, brackets, addition, subtraction and others. So, what is BODMAS? While working out arithmetic calculations, follow the order of operations mentioned below.

P stands for parenthesis/brackets.
E stands for exponential (squares, exponents, cubes, square roots etc.)
DM stands for division and multiplication (performed left to right)
AS stands for addition and subtraction (performed left to right)

Let's understand the rule of PEMDAS through an example,

Example - Evaluate 9 - 4 ÷ (8 - 4) x 2 + 6 using the order of operations.

Solution
Step1. 9 - 4 ÷ (8 - 4) x 2 + 6 = 9 - 4 ÷ 4 x 2 + 6 (parenthesis)
Step2. 9 - 4 ÷ 4 x 2 + 6 = 9 – 1 x 2 + 6 (Division)
Step3. 9 – 1 x 2 + 6 = 9 – 2 + 6 (Multiplication)
Step4. 9 – (-2) + 6 = 9 +4 (Addition)

Step5. 9+4 = 13

Women Fragrances an integral grooming product and fashion accessory

Now a day use of perfume has become an unavoidable part of human wearing. Whether it may be a male or a female it caters to everyone’s penchant. Fragrance can be of any type of concentrated flavors like rose, jasmine, mandarin, orange blossom, amber sandalwood and vanilla etc. with alcohol and a little percentage of water.

The use of perfume escalates during hot season due to heavy perspiration in humans than in any other season. The pleasant fragrance of perfume relaxes our mind from deodar. Many people use it to attract others any time and anywhere. The market demand for perfume has attracted many domestic and multinational companies to invest in this field. Perfume shops are available now in our door steps. One can purchase a cheaper perfume or a costlier one.

 But the quality differs from one perfume to another. Armani perfume is one of the best quality perfumes and loved by many persons over the years. ARMANI which is an international brand entered into the perfume industry in the year 1981 with its sister concern named Giorgio Beverly Hills. Now a day some local perfume shops are selling duplicate perfume in the names of a branded perfume; the use of that kind of perfume may cause skin diseases. Therefore everybody should consider some factors when they are going to buy a perfume bottle.

Perfumes and colognes have changed the style and personality of people and demand for it is increasing day by day. From Armani perfume to Yves Saint Laurent many designers and brands of perfume that are coming to the market over the years have been appealing to masses. It has become a perfect gift for both man and woman today in the occasion like Valentine’s Day, Mother’s Day, Birth Day, Christmas Day and even ceremony.

To buy a quality product one should visit the internet, where he or she can access the hottest and latest collection of perfumes. There are a plethora of websites available online; these sites give heavy discounts on many branded perfumes. These products have a good quality and are also authentic.

Over the years women and fashion have become inter-related. Each and every modern lady from a small girl to an old woman all over the globe has made perfume as an integral part of their fashion statement. The woman fragrance is a blend of hyacinth and different flower flavors. The women fragrance is also termed as romantic wear.

Above all one should buy perfume from a proper platform, where he or she can get discounts and good quality product. And the fragrance must suits his or her personality; this means the fragrance should be soft and that may not upset others at any plac