Transformations
Linear Equations (y=mx+b)
Solving Equations
Functions
Volume
100
What is the vocabulary word for a transformation that flips or mirrors the preimage?
A reflection
100
What do linear equations look like when graphed?
Lines
100
Solve the equation -3x = 9
x = -3
100
Fill in the blank:
A relation is a function if for each input, there is ________.
A relation is a function if for each input, there is (exactly) one output.
100
What does the "B" in the volume formula stand for?
What is area of the base.
200
What are the three types of rigid transformations?
Translations, reflections, and rotations
200
What do the m and the b stand for in slope-intercept form (y=mx+b)?
The m stands for slope and the b stands for the y-intercept
200
How many solutions are there to the equation 3x + 12 = 2x + 12 + x
A) All/infinite solutions
B) No solutions
C) One solution, which is x = 4
A) All/infinite solutions
200
Is this relation a function? (Yes or No)
No
It fails the vertical line test, meaning that for some input (x), there are multiple outputs (y).
200
What is the Volume of a cylinder with a radius of 4 and height of 8.
Using formula V=Bh
What is 401.92.
300
What is the name of the only non-rigid transformation we learned that resizes preimages?
A dilation
300
What is the y-intercept of this line?
3.5 because the line crosses the y-axis at the point (0, 3.5)
300
Solve the equation 6x + 1 = 4x + 9
x = 4
300
Is this relation a function? YES or NO
No
The input blue has two different outputs
300
What is the Volume of a cone with a radius of 4 and a height of 8?
Using formula V=1/3Bh
What is 133.97.
400
Which sequence of transformations maps triangle A to triangle A"?
A) Reflect across the x-axis and then rotate 180 degrees about the origin
B) Reflect across the y-axis and then rotate 180 degrees about the origin
C) Reflect across the x-axis and then translate down 5 units and right 3 units
D) Reflect across the y-axis and then translate down 5 units and right 3 units
D) Reflect across the y-axis and then translate down 5 units and right 3 units
400
What is the slope of this line?
A) 5/3
B) 6/2 = 3
C) -8/4 = -2
D) 2/6 = 1/3
B) 6/2 = 3
400
What is the definition of a solution to an equation?
The value for the variable that makes the equation true
400
Is this relation a function? EXPLAIN (required for credit)
No, because the input 0 has two different outputs (-1 and 0)
400
What is the Volume of a sphere with a diameter of 8?
Using Formula: V=4/3πr3
What is 267.95
500
What sequence of transformations that maps quadrilateral ABCD onto A'B'C'D'?
There is more than one correct solution, but be careful to make sure that each vertex in the preimage maps to its corresponding point in the image (A to A')
A reflection across the y-axis followed by a dilation with scale factor 0.5 centered at the origin
(other correct responses are possible- for full credit, students must include the line of reflection and the scale factor)
500
Write the equation of this line in slope-intercept form
y= 4/3x - 4
(or equivalent equations)
500
Solve the equation -4x + 2 = 6x + 8
x = -0.6
500
Is this relation a function? EXPLAIN (required for credit)
Yes, for each input, there is only one output.
It does not matter that 3 and 5 have the same output. All that matters if that when I "press" the 1, 3, 5, and 7 buttons, I know exactly what output I'll get.
500
What is the Volume of the Hemisphere with a Diameter of 13?
Using Formula for a sphere: V=4/3πr3
What is 904.32.