Basic Algebra Review

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A significant branch of mathematics which consists of numbers, letters, and mathematical symbols in order to
express mathematical expressions, equations and formulas is called as Algebra. In basic algebra different
mathematical formulas and methods are used to solve the given equations. Some algebraic expression even
consists of complex numbers, vectors etc. 

Example 1: Given is a basic algebraic equation, 8z – 6 = 10. Solve the equation to get the value of ‘z’.

To solve for ‘z’, we have to add/subtract few terms on both sides of the equation.

Add ‘6’ on both sides to balance the equation

8z – 6 + 6 = 10 +6


Cancel the -6 and +6 on the left side.

Combining the like terms, we get: 8z = 16

Divide ‘8’ on both sides of the equation.  

8z/8 = 16/8

z = 2


The answer is: z = 2.

 
Example 2: Given is a basic algebraic equation, 10y + 1 = y + 28 Solve the equation to get the value 
of ‘y’.

To solve for ‘y’, we have to add/subtract few terms on both sides of the equation.

Subtract ‘y’ on both sides to balance equation 10 y + 1 -y = y + 28 -y

Now, combine the like terms, this gives 9y + 1 = 28

Subtract ‘1’ on both sides 9y + 1 - 1 = 28 - 1

Combine the like terms 9y = 27

Divide ‘9’ on both sides:9y/9= 27/9

The answer is: x = 3.





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