Introduction to basic algebra

Basic algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures.
Together with geometry, analysis, topology, combination, and number theory, algebra is one of the main branches of pure mathematics. The part of algebra called elementary or basic algebra is often part of the curriculum in secondary education and introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers, such as addition.In this article we shall discuss about basics of algebra

Sample Problem for Basic Algebra:

Example 1:

Solve the algebra equation.
|2x – 1| = 7
Solution:

Step 1: The absolute value of the given equation is already inaccessible.

Either 2 x-1 = +7 or 2 x - 1= -7

Step 2: Solve the equation 2 x – 1 =+7

2 x – 1 = 7

2 x = 8

X = 4

Step 3: Solve the equation 2x-1=-7

2 x – 1 = -7

2 x = -6

X = -3

The answers are 4 and -3. The answers may not be solutions to the equation.

Check the answer x=4 by replacement 4 in the given equation for x. If the left side of the equation sum value is equals the right side of the equation sum value after the replacement of x value, you have got the exact answer.

• Left side: |2 (4) – 1 | = 7

• Right Side: 7

Check the answer x = -3 by replacement -3 in the given equation for x. If the left side of the equation sum value is equals the right side of the equation sum value after the replacement of x value, you have got the exact answer.

• Left Side: | 2 ( -3) – 1 | = - 7
• Right Side: -7

The answer of the equation are x=4 and -3.