Mathematical Equations

Mathematic Equations

By Natalie Hathaway

By Natalie Hathaway

Calculating Mathematical

Equations

What IS that?

A VARIABLE

IS…

a quantity that during a calculation is assumed to change or be capable of

varying in value

You can choose anything to be your

variable!

WE USUALLY USE X OR Y

Using Variables in Equations…

YOUR VARIABLE, X OR Y, ARE INCLUDED IN THE EQUATION.

WHAT DO X AND Y STAND FOR?

It’s like a MYSTERY!

To find out what a variable equals, you must

isolate it.

For Example:

X + 3 = 7X + 3 – 3 = 7 – 3

X = 4

WHEN X WAS ALONE, WE FOUND

ITS VALUE.

Equations with..

PARENTHESES!

(3 x 4) x (2 + 5)

EXPONENTS!

32 + (5 -2)

MULTIPLICATION!

32 + (5 – 2) x 4

DIVISION!32 + (5 – 2) x 4 / 3

ADDITION!

32 + (5 – 2) x 4 / 3 + 7

SUBTRACTION!32 + (5 – 2) x 4 / 3 + 7 - 2

Or, equations containing ALL of those operations.

x2

TO SOLVE THESE EQUATIONS, WE MUST

KNOW & USE A NEW RULE…

If you remember this….

You can calculate almost ANY math

equation!

PLEASE EXCUSE MY DEAR AUNT SALLY

stands for...

This is also known as the

ORDER OF OPERATIONS

WHICH TELLS US WHAT TO DO FIRST IN AN EQUATION THAT CONTAINS MULTIPLE

OPERATIONS.

Calculators automatically follow

this rule.

While doing a problem, write down PEMDAS for visual reference..

PEMDAS

EXAMPLE PROBLEM..

PEMDAS

(3 + 1) + 32 x 4 / 2 + 7 – 1 = y= 4 + 32 x 4 / 2 + 7 – 1 = y= 4 + 9 x 4 / 2 + 7 – 1 = y= 4 + 36 / 2 + 7 – 1 = y= 4 + 18 + 7 – 1 = y= 29 - 1 = y= y = 28