Hi everyone!
I am back with Polynomials, as you know we finish our polynomials Unit
and UNIT TEST on Thursday!!
anyway today in class we write a little bit note about what is going to be on the test and the marks of the test
so our test is going to be out off 55
check out what is going to be in our test on Thursday
Part A= Translating
which looks like this
Ex. 9 less than x
they say that nine is less than x
so we took the word less which means
SUBTRACT
so we will write in this way
= X-9
Ex. Twice a number, decreased by 4
so we choose any letters to represent the
number
for example i choose letter N to represent my number
as you know decreased which means SUBTRACT
so we will represent in this way
=2n-4
Part B= Terminology
This terminology is example of ADDITIVE INVERSE which means opposite
This simple
Ex. what is the additive inverse of 3
which means the opposite of 3
which is -3.
Ex. what is the additive inverse of x
which is -x
Part C= Substitution
Let's look at an example using the Substitution method:
Ex. 3x-4y when x=3 and y=-3
So we know that x=3 and y=-3
now we can solve this equation
by putting 3 into the x and
-3 into the y
3x-4y
=3(3)-4(-3)
=9+12
=21 ans
it is simple very easy!
Ex. 2(3x-4y)-3(2x+2y) when x=2 and y=-2
We start with PEDMAS
=6x-8y-6x-6y
=6x-6x-8y-6y
=-14y
=-14(-2)
=28
Part D= Simplification:
.Add,Subtract,Multiply
simplifying is one of my best part
Ex. simplify by combining like terms.
d+d+d+d+p+p+p+d
we collect the like terms then we add them which will give as
=5d+3p
stop there because they are no more like terms
but remember multiplying polynomials can multiply
with any kind of variables.
Ex. (d-5) - (d+3)
so this question is subtracting polynomials
as we know we change the other side to opposite
= (d-5) - (d+3)
= (d-5) + (-d-3) we change the other side
= d-5-d-3 we took off the brackets
= d-d-5-3 we collect the like terms and solve it
= -8 this is what we found!
it is simple if you try more
let see multiply polynomials
Ex. (-2m^3)(m)
(-2m^3)(m)
=-2m^4 we add the exponent thats why i get m^4
Lets try another one
(2x^2)(-3y)
=-12x^2y
Part E= Word Problem
.Algetiles (subtract)
. Perimeter/Area rectangle
.Find missing side given Perimeter
. Creating dimensions
Lets use this question with algetiles
Ex. (-3x+10) - (-10x-8)
lets try another question
so in this rectangle they give as the length
and the width
so if we want to find the perimeter of this rectangle we add the all side.
P=x+x+5x+5x P=2x+10x P=12x
If they told us to find the are of the
rectangle we multiply
A=L*W
A= x(5x)
A= 5x^2
ANYWAY THIS IS WHAT SHOULD STUDY FOR YOUR TEST
Labels: Polynomials, yassin
