To understand elementary Algebra we need to understand basic operations on rational number, plotting on graphs, fractions of an expression etc. Now let us see how to do elementary algebra. |

Once we have a proper knowledge about an algebraic expression, we can then continue using it, to study the concept of elementary algebra. The basic problems in elementary algebra include solving algebraic equations, solving inequalities, finding the values of variables, the set of their solutions and many more. Elementary algebra problems can be shown as a combination of the following:

Thus, elementary algebra includes the to differentiate the various components of an algebraic equation, with the correct order of their operations (PEMDAS- First bracket open and then follow division, followed by multiplication and then addition and in the last subtraction).

Elementary algebra gives the knowledge of the basic skills of mathematics (add, subtract, multiply, and divide)

Algebra includes the Distributive, Commutative, Associative and other important properties of real numbers with respect to the 4 operations of mathematics, it also includes an important process of graphing an equation to find out its solution, its axes and plotting the points by making a table of data.

The most important use of algebra is to use any symbols to express any variable of your own, in which the variables are those quantities that can change their values (or the unknown values).

While doing mathematical operations on algebraic equations, we should keep in mind, that if we divide, multiply, add or subtract any number form the Left Hand Side of any algebraic equation then the same number will be put on the Right Hand Side of the equation too accordingly, with the same sign ( + , - , * or /).

Elementary algebra also helps us to identify the letters in an equation that means a particular thing and then we can look at the symbols used for variables in comparison with the symbols used for arithmetic operations which we know as (+, -, =, / etc.).

Let us understand the concept with our daily calculation struggle,

Sam has some number of chocolates with her. She has to divide these chocolates among 15 kids, provided that each kid should get exactly 5 chocolates. We have to calculate, how many chocolates does she have?

We can convert this into equation as let x is the total number of chocolates that Sam has, then $\frac{x}{15}$ = 5, which gives x = 15 * 5 = 75. yay!! we solve this.

1) Solve the following system of equations by the method of graphing:

y = -2x + 5

x -3y = 6

2) A basket consists of 125 apples out of which 3 are rotten. Find the number of rotten apples, if we have a basket consisting of 3000 apples?

Answer: 72 apples.

3) Evaluate: $\frac{2xy}{x-y-y^{2}}$ for x = 5 and y = 1.

4) Add: (3x

^{2}+ 4y

^{2}– 55x – 23y + 22) + (6x

^{2}+ 40y

^{2}– 20)

5) Simplify the following exponents provided the answers should be written in positive exponents only.

a) 3x

^{0}

b) (3x)

^{0}

c) (4xy

^{4})

^{-2})

6) Multiply the following algebraic expressions:

a) (5x

^{2}) (10x

^{2}– 5x + 2)

b) (2y + 1) (y - 5)