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Worksheets

Mix Transformations

Total questions: 66

Worksheet time: 3hrs 35mins

Name
Class
Date
1.
(x, y) -------> (x, -y) is a reflection over the x axis.       
a)
True
b)
False
2.
(x,y) -------> (-x, -y) is a reflection over the y = x axis.
a)
True 
b)
False
3.
(x, y) -------> (x - 3, y) is a translation of 3 units to the left.   
a)
True
b)
False
4.
(x, y) -------> (x, y - 2) is a translation of 2 units up.  
a)
True
b)
False
5.
(x, y) -------> (-x, -y) is a rotation of 180 degrees.  
a)
True 
b)
False
6.
A dilation with a scale factor of 2 is a reduction. 
a)
True
b)
False
7.
A dilation with a scale factor of 1/3 is a reduction. 
a)
True 
b)
False
8.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
9.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
10.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
11.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
12.
When you translate, you ______ a number to x and y.
a)
Add or subtract
b)
Multiply or divide
c)
Add or multiply
d)
Subtract or divide
13.
Point A is located at (4, 9) and is translated using the following algebraic representation:
(x, y) goes to (x + 4, y - 3).  What happens to point A when it is translated?
a)
It moves to the left 4 and down 3
b)
It moves to the right 4 and up 3
c)
It moves to the left 3 and up 4
d)
It moves to the right 4 and down 3
14.

Find x.

a)

6.6

b)

4.5

c)

5.4

d)

7.2

15.
a)

4

b)

6

c)

8

d)

10

16.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
17.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
18.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
19.

Identify the slope in the equation below.


y = mx + b

a)

y

b)

m

c)

x

d)

b

20.

Identify the y-intercept in the equation below.


y = mx + b

a)

y

b)

m

c)

x

d)

b

21.

Look at the table.


Identify the y-intercept in that table.

a)

(-3, 0)

b)

(0, 3)

c)

(3, 6)

d)

(6, 9)

22.

Identify the slope in the equation below.


y = 4x - 10

a)

y

b)

4

c)

x

d)

-10

23.

Look at the graph.


Identify the y-intercept.

a)

4/5

b)

-4/5

c)

(-5, 0)

d)

(0, 4)

24.

Look at the graph.


Does this graph represent a linear function?

a)

yes

b)

no

25.

Which ordered pair represents the y-intercept of the graph?

a)

(-2, 1)

b)

(0, 2)

c)

(2, 3)

26.

Name the y-intercept for the equation below.


y = 6x - 3

a)

y

b)

6

c)

x

d)

-3

27.

Look at the graph.


Does it have a positive or negative slope?

a)

positive

b)

negative

28.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
29.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
30.
Find the slope
a)
5/2
b)
-5/2
c)
2/5
d)
-2/5
31.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
32.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
33.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
34.
What is the simple definition of slope? 
a)
line
b)
run/rise
c)
undefinied
d)
rise/run
35.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
36.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
37.
The formula for the Volume of ...
a)
Cylinders
b)
Spheres
c)
Cones
38.
The formula for the Volume of ...
a)
Cylinder
b)
Cone
c)
Sphere
39.
What shape is this?
a)
Pyramid
b)
Cylinder
c)
Circle
d)
Cube
40.
What shape is this?
a)
Cylinder
b)
Cone
c)
Sphere
41.
What shape is this?
a)
Cone
b)
Sphere
c)
Cube
d)
Pyramid
42.
 Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
43.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
44.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
45.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
46.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
47.

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

a)

50.27 ft3

b)

150.72 ft3

c)

not here

d)

192.65 ft3

48.
What does "P" stand for in the surface area formulas?
a)
Perimeter
b)
Parallel
c)
Perimeter of the Base
d)
Pi
49.
What is surface area?
a)
Inside of the object
b)
The sum of all the areas of all the shapes that cover the surface of the object.
c)
Something Mrs. MacGregor made up?
d)
Surface area is what you get when you boil unicorn tears. 
50.
What is the surface area formula for a cylinder?
a)
SA = πrl + πr2
b)
SA = 2πrh + 2πr2
c)
SA = 4πr2
d)
SA = πr2h
51.
Find the total surface area of the cylinder.
a)
100.53 square inches
b)
351.86 square inches
c)
251.33 square inches
d)
50.27 square inches
52.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
53.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
54.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
55.
Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25
a)
Yes
b)
No
56.
Determine if the following set of numbers are Pythagorean Triples.
18, 73, 75
a)
Yes
b)
No
57.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
58.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true
59.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
60.
a)
Function
b)
Not a Function
61.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
62.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
63.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
64.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
65.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
66.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)