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Equations
Systems of Equations
Geometry
Linear Functions
Volume
100
6x-12=-9
x=1/2
100
y=2x+3
y=3x-4
x=7, y=17
100
A right triangle has
Leg = 9
Leg = 12
Find the hypotenuse:
c = 15
100
A cellular company charges $.15 per minute after a $10 access fee. Write an equation for total cost.
y=.15x+10
100
A rectangular prism has
l = 5.5
w = 8
h = 4
Find the volume
V = 176
200
3(x-4)=2
x=14/3
200
y=2x-8
y=6x+12
x=-5, y=-18
200
A right triangle has
Leg = 5
Hypotenuse = 10
Find the missing leg:
b = Square root of 75
200
Find the slope between the two points
(2, -3) and (-3, 1)
m=-4/5
200
The volume formula for a cone
V = 1/3 π r2 h
300
5x-4=2x+8
x=4
300
y=x-12
x+y=-2
x=5, y=-7
300
Find the midpoint between:
(-2, 3) and (-8, 10)
m = (-5, 6.5)
300
Write an equation in point-slope form through the following points:
(1,5) and (3, 9)
y-5=2(x-1) OR y-9=2(x-3)
300
A cylinder has a height of 8 and a diameter of 10. Find the volume.
V = 200π
400
2(4-2x)=4x+4
x=1/2
400
3x + 4y = 17
y = −6x − 1
x=-1, y=5
400
Find the distance between
(4, -2) and (16, 3)
D = 13
400
Write an equation in slope intercept form through the points
(1,5) and (3, 9)
y=2x+3
400
A cone has a height of 3 and a radius of 10. Find the volume.
V = 100π
500
1/2x + 3 = 3/4 x + 1/2
x=10
500
5x + 4y = −12
y = −2x − 9
x=-8, y=7
500
A flagpole casts a 48 foot shadow. Meanwhile, a 6 foot guy standing next to it casts a 5 foot shadow. How tall is the flagpole?
Height = 57.6
500
Convert to standard form
y=1/2 x + 7
-x + 2y = 14
500
A sphere has a diameter of 12. Find the volume.
V = 288π