linear equations
To be or not to be...
turn up the VOLUME
transformation station
solving equations
100
What is the slope in the following equation?
y= -7/8x + 4
- 7/8
100
... a function
Not a function
Every input does NOT have exactly one output
100
Find the volume of a cylinder with a radius of 2 cm and a height of 13 cm. Round to the nearest tenth.
163.3 cm3
100
Which type of transformation did not effect the orientation of a shape?
reflection/ translation/ rotation/ dilation
translation
100
x + 3 = -9
x = -12
200
What is the y-intercept of the following table?
3
200
... proportional
Not proportional. Constant but does not go through the origin.
200
Calculate the volume of a sphere with diameter 13.2 in. Round to the nearest hundredth.
1203.65
200
After a reflection, rotation, or translation the pre-image and image could always be described as ________ figures.
congruent/similar
congruent
200
solve for k
k= 96
300
Write an equation to represent the following scenario:
A membership to a gym costs $99 to join, plus $25 per month. Let x represent the number of months and let y represent the total cost.
y= 25x + 99
300
... linear
Non-linear. There is not a constant Rate of Change/slope
300
Calculate the height of a cone that has a volume of 113.04 ft3 and a diameter of 8 ft. Round answer to the nearest hundredth.
113.04 = 1/3 x 3.14 x 4 x 4 x h
113.04 = 16.7466666 x h
h = 6.75 ft
300
A 90 degree clockwise rotation was equivalent to what other type of rotation?
A 270 degree counter clockwise rotation.
300
solve for t
t= 1
400
Write an equation for the following scenario:
A pool is draining at a constant rate of 6.6 gallons per minute. Before draining, the pool was full and had 1,632 gallons of water in it.
y= -6.6x + 1632
400
an equation with one solution:
4x + 2 = 2x - 3 +2x
Bonus points if you can tell me how many solutions the equation has
one/ none/ infinitely many
4x + 2 = 4x - 3
2 = -3
False statement, no solution.
400
Find the volume (round to nearest tenth):
V = 3.14 x 17 x 17 x 27
V = 24501.4 m3
400
Reflect the point (1,3) across the x-axis.
(1, -3)
When you reflect across the x-axis the x-value stays the same.
400
x= -3
500
A hair stylist charges $22 for the haircut plus $87 per hour to color your hair. How much would you have to pay her if you were there for 4 hours?
Extra point if you can also tell me what 20% gratuity for your hair dresser would be. Another extra point if you can tell me how much your total would be including gratuity.
$370 with no gratuity
20% gratuity would be $74
$444 total including everything
500
A right triangle...
17, 145, 144
Yes
172 + 1442 = 21025
1452 = 21025
so a2 + b2 = c2
500
Find the volume of Ariel's plastic ice cream cone (round to nearest hundredth)
v = 1/3 x 3.14 x 8 x 8 x 10
v = 669.87 cone
v= 4/3 x 3.14 x 8 x 8 x 8
v= 2143.57 sphere
2143.57 / 2 = 1071.79 cut in half because it is only a hemisphere (half the sphere)
total volume 1071.79 + 669.87 = 1741.66 cm3
500
Triangle ABC has vertices A(0,0), B(1,3), and and C(3,4). What are the vertices of the image after a translation 2 units up and then rotated 180 degrees?
2 units up: (0, 2) (1, 5) (3, 6)
then 180 degree rotation: A'(0,-2) B'(-1, -5), C'(-3, -6)
500
I am thinking of a number. In order to guess my number you will have to set up an equation and solve for x.
6 less than 4 times a number is the same as 2 times a number.
4x - 6 = 2x
-6 = -2x
3 = x