quadratic equations - the Australian Mathematical Sciences Institute
Mathematical Equations
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Transcript of Mathematical Equations
![Page 1: Mathematical Equations](https://reader035.fdocuments.us/reader035/viewer/2022062406/558a21ffd8b42a19788b45b6/html5/thumbnails/1.jpg)
Mathematic Equations
By Natalie Hathaway
By Natalie Hathaway
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Calculating Mathematical
Equations
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What IS that?
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A VARIABLE
IS…
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a quantity that during a calculation is assumed to change or be capable of
varying in value
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You can choose anything to be your
variable!
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WE USUALLY USE X OR Y
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Using Variables in Equations…
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YOUR VARIABLE, X OR Y, ARE INCLUDED IN THE EQUATION.
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WHAT DO X AND Y STAND FOR?
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It’s like a MYSTERY!
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To find out what a variable equals, you must
isolate it.
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For Example:
X + 3 = 7X + 3 – 3 = 7 – 3
X = 4
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WHEN X WAS ALONE, WE FOUND
ITS VALUE.
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Equations with..
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PARENTHESES!
(3 x 4) x (2 + 5)
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EXPONENTS!
32 + (5 -2)
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MULTIPLICATION!
32 + (5 – 2) x 4
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DIVISION!32 + (5 – 2) x 4 / 3
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ADDITION!
32 + (5 – 2) x 4 / 3 + 7
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SUBTRACTION!32 + (5 – 2) x 4 / 3 + 7 - 2
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Or, equations containing ALL of those operations.
x2
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TO SOLVE THESE EQUATIONS, WE MUST
KNOW & USE A NEW RULE…
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If you remember this….
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You can calculate almost ANY math
equation!
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PLEASE EXCUSE MY DEAR AUNT SALLY
stands for...
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This is also known as the
ORDER OF OPERATIONS
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WHICH TELLS US WHAT TO DO FIRST IN AN EQUATION THAT CONTAINS MULTIPLE
OPERATIONS.
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Calculators automatically follow
this rule.
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While doing a problem, write down PEMDAS for visual reference..
PEMDAS
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EXAMPLE PROBLEM..
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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