Shortcut Algebra Equations

By Author: Stevan Crasta
Total Articles: 2
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Introduction to shortcut algebra equations:-

In this branch of mathematics, we use letters like a, b, x and y to denote numbers. Perform addition, subtraction, multiplication, division, or extraction of roots on these symbols and real numbers the resultant obtained are termed as algebraic expressions. In algebra, we use variables, constant, coefficients, exponents, terms, and expressions. The basic concept of the algebra is balance the algebraic equation on both sides. (Here shortcut algebra equations based process handled it now)

Basic Algebra Topics Used in Shortcut Algebra Equations:

Algebra Variables:

Algebraic variable is the alphabetical character, which are used for assigning the value. While solve the numerical equation cost of the variable will be changed. Widely used variables are x, y, z(Here shortcut algebra equations based process handled it now)

Algebra Constant:

An algebraic constant is the value whose value never change during the solving the algebraic equation. In 2y + 5, the value 5 is the constant. (Here shortcut algebra equations based process handled it now)

Algebra ...
... Equations:

Algebraic equations equal the number or expression. The majority probably algebraic equation is use for the value of the variable. (Here shortcut algebra equations based process handled it now)
Basic Shortcut Algebra Equations Examples:

4n +12 = 100

Solution:

4n +12 = 100

- 12 -12 ( subtract 12 both sides )

4n = 88

4n / 4n = 88 / 4

n = 22

(Here shortcut algebra equations based process handled it)

Solve for x:

-3x=9

Solution:

Divided both sides -3:

-3x/-3=9/-3

Simplify both sides:

X=-3

(Here shortcut algebra equations based process handled)

Solve for x:

X/4=-3

Solution:

Multiply both sides by 4:

X*4/4=-3*4

Simplify both sides:

X=-12

(Here shortcut algebra equations based process handled )
Basic Algebra Equation Problems:

1) Factor the algebraic expression (x - 1)2 - (y - 2)2.

Answer

= [(x - 1)- (y - 2)][(x - 1)+ (y - 2)]

= (x - y + 1)(x + y - 3)

(Here shortcut algebra equations based process handled )

2) Factor the algebraic expression x2 - z4.

Answer

= (x + z2)(x - z2)

= (x + z2)(x + z)(x - z)

3) Simplify the algebraic expression -2(x - 3) + 4(-2x + 8)

Answer

= -2x + 6 -8x + 32

= -10x + 38.

(Here shortcut algebra equations based process handled)

Learn more on about how to solve linear equations with fractions and its Examples. Between, if you have problem on these topics solving linear equations by graphing,Please share your comments.