Writing Expressions in Standard Form
-2x2+6x4-3x3
6x4-3x3-2x2
ADD
(3x2+2x-5)+(2x2-3x+4)
3x2+2x2=5x2
2x+(-3x)=-x
-5+4=1
=5x2-x-1
(2x+3)(x-4)
2x ⋅ x=2x2 -8x+3x=-5x
2x ⋅ -4=-8x
3 ⋅ x=3x
3 ⋅ -4=-12
=2x2-5x-12
Number of miles you drive and the amount of gas you have
Negative Correlation
(2,4),(5,7)
m= 7-4/5-2=1
7=1 ⋅ 5+b > 7=5+b > b=2
y=x+2
8x3+4x2-2x4+x
-2x4+8x3+4x2+x
SUBTRACT
(4x3-2x2+x)-(3x3+5x2-3x)
4x3-3x3=x3
-2x2-5x2=-7x2
x-(-3x)=4x
=x3-7x2+4x
(3x2+2x)(x+1)
3x2 ⋅ x=3x3 3x2+2x2=5x2
3x2 ⋅ 1=3x2
2x ⋅ x=2x2
2x ⋅ 1=2x
=3x3+5x2+2x
Number of pets you own and amount of money spent on pet food
Positive Correlation
(2,4),(5,8)
m= 8-4/5-2=4/3
4=4/3 ⋅ 2+b > 4=8/3+b > b=4/3
y=4/3x+4/3
7x8-8x7+9x4-5x9-2x5
5x9+7x8-8x7-2x5+9x4
ADD
(2x4-3x2+x)+(-x4+5x2-2x)
2x4+(-x4)=x4
-3x2+5x2=2x2
x+(-2x)=-x
=x4+2x2-x
(4x3-2x2+x)(2x-3)
4x3 ⋅ 2x=8x4 , 4x3 ⋅ (-3)=-12x3
-2x2 ⋅ 2x=-4x3 , -2x2 ⋅ (-3)=6x2
x ⋅ 2x=2x2 , x ⋅ (-3)=-3x
=8x4-14x3-4x2+6x
Number of clothes that you own and what you got on your English grade
No Correlation
(-3,2),(6,-4)
m= -4-2/6-(-3) = -2/3
2=-2/3 ⋅ -3+b > 2=2+b > b=0
y=-2/3x
x2+9x-7x-3x3+7x2-2x
9x-7x-2x=0
-3x3+8x2
SUBTRACT
(x3+2x2+1)-(3x3-4x2-2x)
x3-3x3=-2x3
2x2-(-4x2)=6x2
=-2x3+6x2-2x+1
(x2+2x+1)(x2-x+3)
x2⋅ x2=x4 , x2⋅(-x)=-x3 , x2⋅3=3x2 2x⋅x2=2x3 , 2x⋅(-x)=-2x2 , 2x⋅3=6x 1⋅x2=x2 , 1⋅(-x)=-x , 1⋅3=3
=x2+x3+2x2+5x+3
The amount of friends you invite to dinner and the resteraunt bill amount
Positive Correlation
(1,-5),(-2,3)
m= 3-(-5)/-2-1= -8/3
3=-8/3 ⋅ (-2)+b > 3=16/3+b > b=-7/3
y=-8/3x-7/3