Linear
What is the y- intercept of the following equation:
y = 3x - 10
Solve for x
x/6 + 10 = 13
x = 18
Determine the radius of the sphere given the volume is 150 m3
Determine the missing number in the data given the median is 16.
S = {12, 14, 15, 17, 21, 23, 24}
x = 15
Find the equation of a line with a point (8, -3) and an initial value of 3.
y -0.75x + 3
Solve the inequality, your answer must be written as an interval -- ex: [5, inf [
-3(2x + 4) > -24
x E ] -inf , 2 [
Determine the total surface area of the cone if the radius is 8cm and the height of the cone is 15cm.
SA = 628.32 cm2
Determine the perimeter of the rectangle given the:
length = 2x(3x +1)
width = 3x(2x +1)
24x2 + 10x
Determine the equation of the line given points (10, 149) and (-2, -31)
y = 15x - 1
Simplify the following expression
(3x - 1)2 + 2x2 - 1 + 2(x2 - 3)
13x2 - 6x - 6
Determine the height of the cylinder given the area of the base is 204.25 cm2 and the total surface area is 4137.7 cm2
73.7 cm
Determine the IQR of the following data set
S = { 44, 48, 49, 49, 51, 53, 56, 59, 64, 72}
10
y int = - 35
Simplify
(6x2 (12x +7) -15x(-10x + 8) ) / 2x
36x2 + 96x - 60
Determine the volume of the square based pyramid with a slant height of 20 cm and a height of 16 cm
3072 cm3
Determine the volume of Cone A.
Cone A: Radius = 9 cm
Cone B: Radius = 12 cm and Height = 52 cm
3308 cm3
Given the x intercept is -2.5 and the line passes through point (14, 33) what will the y- value be if x = 60?
y = 125
Determine the simplified expression
(((x2)(3x4))2 / (3x-3) ) 10x-10
Answer with positive exponents only
30x5
Calculate the slant height of a square based pyramid with a total surface area 360 m2 and the area of the base is 100 m2
13 m
Michael and Daniel have two sales models.
Michael: He charges a flat fee of 10$ and 20$ per hour afterwards.
Daniel: Two clients reported the following charges. 20 hours cost 550$ and 30 hours cost 850$.
At what point are both their models the exact same price? What is that price?
6 hours, 130$
(6,130)