Polynomials
What is a monomial?
A monomial is a product of numbers and/or variables with whole-number exponents.
What is the probability of having a green marble when you have 6 blue, 7 red, 20 white and 5 green?
5/38
What is the equation of direct variation?
Y= kx
What is the LCM of 35 and 49?
35= 7 times 5
79= 7 times 7
LCM= 5 times 7 time 7 = 245
What is the equation of a point-slope form?
Y-y1=m(x-x1)
What is a polynomial?
Is a monomial or the sum of monomials
What is the probability of drawing a red and a blue marble when you have 16 red and 5 blue?
P( 16+5)= 20%
Does (3,12), (2,8), (16,4) represent a direct variation?
12/3 =8/2=4/16
No these points do not represent a direct variation
Find the LCM of 6x2y3 and 9x4y4?
2 . 3 . x.x.y.y.y
3.3.x.x.x.x.y.y.y.y
2.3.3.x4.y4
18x4y4
Write the equation of a line that had a slope of 3 and passes (2,4) in point slope form?
Y-y1=m(x-x1)
y-4=3(x-2) = y-4 =3x-6
y=3x-2
What is the standard form?
Is a form of a polynomial where terms are ordered from greatest to the least degree.
What is the formula for the the theoretical probability?
P(event)= # of favorable outcomes / total # of outcomes
Write an equation for a direct variation that includes the point(5,30)?
Y=kx
30= k times 5
k=6
y=6x
Find the LCM of (2m-3)(5m+7)?
(2m-3)(5m+7)
Write the equation in point-slope form of a lime that has a slope of -3 and passes (2,-7)?
Y-y1=m(x-x1)
y+7=-3(x-2)
y+7=-3x+6
= y+u7= -3x+6
y=-3x-1
Write each polynomial in standard for, and find the leading coefficient?
8+ 5x2-x+ 7x3
7x3 + 5x2 -x +8
leading coefficient= 7
A bucket had 10 balls numbers 1,q,2,3,4,4,4,5,6,6. If one ball is drawn at random, is there a greater chance of getting an even number or a multiple of 5?
P(even)= 6/10
p(multiple of 5)= 1/10
since 6/10 >1/10 the probability is greater of getting an even number.
The a,king of water in a swimming pool is directly proportional to the time the water is left on. If the hose supplies 200 cubic ft of water per minute, how many cubic feet will be in the pool in half an hour?
x= time water left on
y=200x
y= 20pft cubes times 30 min
y= 6000 ft cubed
Find the LCM of (15p2-5p) and (24p-8)?
5p(3p-1)
8(3p-1)
40(3p-1)
Write the equation of a line passing (15,-2) and (-5,6) in slope intercept form?
M= y2-y1/ x2-x1 = 5+3/4-1 = 8/3 y-5 = (8/3)(x-4)
y-5 = 8x/3 - 32/3 + 15/3
y= 8x/3 - 17/3
The perimeter of an isosceles triangle is 8m-11n. The length of each of the two congruent sides is 3m-8n. Find a polynomial for the length of the 3rd side of the triangle.
P= 2s+x
8m-11n= (3m-8n)+ (3m-8n)+ x
8m-11n= 6m-16n+x
8m-6m-11n+16n=x
2m+5n
There are 4 green marbles, 3 blue marbles and 3 red marbles in a bag. Give each answer as a decimal and a percent.
P( green or red) = # of green and red/ total amount = 7/10 = 0.7 = 70%
Solve y=kx for k gives a ration for the constant of variation in a direct variation?
Y=kx
y/x = kx/x
y/x=k
A math test is given every 9 days. A history test is given every 14 days. A science test is given every 18 days. How many days into the school year will all three tests will be given on the same day?
9= 3.3
14=2.7
18=2.3.3
LCM= 2.3.3.7 = 18.7 = 126 daysPete seems frozen lemonade at community baseball games. He sells 1 cup for $3 or 2 cups for $5.what will Pete charge for 6 cups if he keeps selling the lemonade at the same price rate?
(1,3)(2,5)
m= 5-3/2-1= 2/1 = 2
y-3= 2(x-1)
y-3= 2x-2
y= 2x+1
2(6) +1
$13