Quadratics
Figures
Graphing
Trig
100
Factor 2x-6
2(x-3)
100
Find the volume of a square based prism with side length 3 cm and height 5cm.
45 cm3
100
The opening direction of the following parabola is...
y = 2(x-3)2 - 6
Upwards
100
Find a
33.56 degrees
200
Factor x2-4
(x+2)(x-2)
200
A rectangular prism of volume 3200 mm3 has a rectangular base of length 10 mm and width 8 mm. Find the height h of the prism.
40 mm
200
Describe the equation below
(x-2)2+(y+8)2 = 64
3 descriptions:
Circle
Center (2,-8)
Radius 8
200
Find all missing sides and angles in the triangle below.
hypotenuse = 30 cm
a = 36.87 degrees
b = 53.13 degrees
300
Solve 0 = x2-6x+1
x = 5.74 and x = 0.26
300
Find the volume of a cone and cylinder who both have a height of 10 cm and a base radius of 4 cm.
Cone: 53.33pi cm3 or 167.55 cm3
Cylinder: 160pi cm3 or 502.65 cm3
300
Rewrite the equation by completing the square
y = x2+6x-8
y = (x+3)2 - 17
300
From a point on the ground 47 feet from the foot of the tree, the angle of elevation is 35 degrees. Find the height of the tree to the nearest foot. Draw a picture!
33 feet
400
Factor 3x2+7x+2
(3x+1)(x+2)
400
There are two similar pyramids with heights 4 in and 6 in. If the volume of the bigger pyramid is 50 in3, the volume of the smaller pyramid is...
14.81 in3
400
Find the x and y intercepts of the parabola given by the equation below.
y = 4(x+3)2
x intercepts: (-3,0)
y intercept: (0,36)
400
A kite is flying 115 feet above the ground. The length of the string to the kite is 150 feet, measured from the ground. Find the angle that the string makes with the ground. Draw a picture!
50.06 degrees
500
Solve 0 = 2x2-5x+4
No real solutions
500
Find the area of a regular 9-gon with side length 8 in
395.64 in2
500
Make up a word problem for the parabola given by the following equation: y = -0.5x2+7
CLASS SHARE OUT SESSION!
500
A 90 foot rope tightly secures a hot air balloon to a stake in the ground. The angle made from the ground and rope is 62 degrees. Find, to the nearest foot, the height of the balloon. Draw a picture!
79 feet