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8th grade checkpoint 3 I learn

Total questions: 142

Worksheet time: 8hrs 14mins

Name
Class
Date
1.

Describe the transformation:

(x, y) -> (x+3, y)

a)

Translation 3 units to the left

b)

Translation 3 units up

c)

Translation 3 units to the right

d)

Translation 3 units down

2.

Describe the transformation:

(x, y) -> (x, y-2)

a)

Translation 2 units to the left

b)

Translation 2 units up

c)

Translation 2 units to the right

d)

Translation 2 units down

3.

Describe the transformation:

(x, y) -> (x-2, y+7)

a)

Translation 2 units to the left & 7 units up

b)

Translation 2 units to the left & 7 units down

c)

Translation 2 units to the right & 7 units up

d)

Translation 2 units to the right & 7 units down

4.

Describe the transformation:

(x, y) -> (x-1, y+1)

a)

Translation 1 unit to the left & 1 unit down

b)

Translation 1 unit to the left & 1 unit up

c)

Translation 1 unit to the right & 1 unit down

d)

Translation 1 unit to the right & 1 unit up

5.

Describe the transformation:

(x, y) -> (x, y-10)

a)

Translation 10 units to the left

b)

Translation 10 units up

c)

Translation 10 units to the right

d)

Translation 10 units down

6.

Describe the transformation:

(x, y) -> (x, -y)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

7.

Describe the transformation:

(x, y) -> (-x, y)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

8.

Describe the transformation:

(x, y) -> (-y, x)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

9.

Describe the transformation:

(x, y) -> (y, -x)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

10.

Describe the transformation:

(x, y) -> (3x, y)

a)

Horizontal translations 3 units to the right

b)

Vertical translation 3 units up

c)

Horizontal stretch 3 times as wide

d)

Vertical stretch 3 times as tall

11.

Describe the transformation:

(x, y) -> (x, 2y)

a)

Horizontal translations 2 units to the right

b)

Vertical translation 2 units up

c)

Horizontal stretch 2 times as wide

d)

Vertical stretch 2 times as tall

12.

A mirror image of a figure

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

13.

to slide or move a figure

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

14.

Turning around a point

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

15.

To change the size of a figure

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

16.

What does it mean if two figures are congruent?

a)

The figures are the same shape, but different size

b)

The figures are different size and shape

c)

The figures are the same size and shape

d)

The figures are the same size, but different shape

17.

Are the figures congruent?

(What type of transformation is shown?)

a)

Congruent (rotation)

b)

Congruent (reflection)

c)

NOT Congruent (rotation)

d)

NOT Congruent (reflection)

18.

Are the figures congruent?

(What type of transformation is shown?)

a)

Congruent (rotation)

b)

Congruent (reflection)

c)

NOT Congruent (rotation)

d)

NOT Congruent (reflection)

19.

Are the figures congruent?

(What type of transformation is shown?)

a)

NOT Congruent (dilation)

b)

NOT Congruent (translation)

c)

Congruent (dilation)

d)

Congruent (translation)

20.

Are the figures congruent?

(What type of transformation is shown?)

a)

NOT Congruent (dilation)

b)

NOT Congruent (translation)

c)

Congruent (dilation)

d)

Congruent (translation)

21.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
22.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
23.
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
24.
Identify the transformation from ABC to A'B'C'.
a)
Translation
b)
90o clockwise rotation
c)
90o counterclockwise rotation
d)
Reflection across the x-axis
25.
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
26.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
27.
Which rule would dilate shows a scale factor of 4
a)
(x, y) → (y, x)
b)
(x, y) → (x + 4, y + 4)
c)
(x, y) → (x, -y)
d)
(x, y) → (4x, 4y)
28.
Which rule would result in a clockwise rotation of 90° about the origin?
a)

(x, y) → (y, -x)

b)
(x, y) → (4x, 4y)
c)
(x, y) → (x, -y)
d)
(x, y) → (x + 4, y + 4)
29.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
30.
Which algebraic rule will produce a translation that is 5 units to the right?
a)
(x, y)  --> (  x ,  y + 5)
b)
(x, y)  --> (  x-5 ,  y + 5)
c)
(x, y)  --> (  x-2 ,  y + 5)
d)
(x, y)  --> (  x+5 ,  y)
31.

Which of the following transformations produces a figure that is congruent to the original figure? (select all that apply)

a)

Rotations

b)

Reflections

c)

Translations

d)

Dilations

32.

A quadrilateral is to be dilated with a scale factor of 0.5. Which algebraic representation represents this dilation?

a)

(X,Y) -> (0.5X,Y)

b)

(X,Y) -> (0.5X,0.5Y)

c)

(0.5X,0.5Y) -> (X,Y)

d)

(0.5X,Y) -> (X,Y)

33.

A quadrilateral is to be dilated with a scale factor of 6. Which algebraic representation represents this dilation?

a)

(X,Y) -> (6X,Y)

b)

(X,Y) -> (6X,6Y)

c)

(6X,6Y) -> (X,Y)

d)

(6X,Y) -> (X,Y)

34.

Quadrilateral PQRS is reflected across the x-axis. Which rule describes this transformation?

a)

(X,Y) -> (-X, Y)

b)

(X,Y) -> (X, -Y)

c)

(X,Y) -> (6X, 6Y)

d)

(X,Y) -> (X + 6, Y + 4)

35.

Quadrilateral PQRS is reflected across the y-axis. Which rule describes this transformation?

a)

(X,Y) -> (-X, Y)

b)

(X,Y) -> (X, -Y)

c)

(X,Y) -> (6X, 6Y)

d)

(X,Y) -> (X + 6, Y + 4)

36.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
37.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?
a)
(x,y)→(y, -x) 
b)
(x,y)→(-x,-y)
c)
(x,y)→(x,y)
d)
(x,y)→(-y,x)
38.
What is true for a pre-image and image when a reflection is preformed?
a)
The image is larger
b)
The pre-image is larger
c)
The image has different angle values
d)
The pre-image and image are the same size
39.
A(-2, 2) and B(3, 2)
Rotate 180 degrees 
a)
A' (-2, 2), B' (3, 2)
b)
A' (-2, -2), B' (-3, -2)
c)
A' (2, -2), B' (-3, -2)
d)
A' (2, -2), B' (2, 3)
40.

Octagon PQRSTVWZPQRSTVWZ is a regular octagon with its center at point  CC  . Which transformations will map octagon  PQRSTVWZPQRSTVWZ   onto itself? Select ALL that apply.

a)

reflection over  QV‾\overline{QV} . 

b)

reflecting over  RW‾\overline{RW}  

c)

reflecting over  TZ‾\overline{TZ}  

d)

rotating  45°45\degree  clockwise around point  ZZ  

e)

rotating  90°90\degree  counterclockwise around point  CC  

41.

When translating left or right on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

42.
The original figure that a transformation is applied to.
a)
Postimage
b)
Starting Figure
c)
Preimage
d)
Transformed Figure
43.
This represents the figure after a specific transformation.
a)
Preimage
b)
Image
c)
Postimage
d)
Transformed image
44.
A transformation that preserves length and angle measure. 
a)
Equal Transfor- mation
b)
Equality
c)
Congruency
d)
Isometry
45.
What is this formula used to find?
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
46.
A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?
a)
27,143.36 ft3
b)
3391.2 ft3
c)
13,571.68 ft3
d)
6,785.84 ft3
47.

Find the volume of the cylinder?

a)
6516 units3
b)
2276 units3
c)
1693 units3
d)
9923 units3
48.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
49.
Jason is drinking a soda from a can that has a radius of 5 in and a height of 43 in. How much soda is in the can? Leave the answer in terms of π.
a)
1075π
b)
268.75π
c)
430π
d)
806.25π
50.

What is the formula for Volume of a Cone?

a)

V=π r3h

b)

V=π r2h

c)

V= 13\frac{1}{3} π r2r^2 h

d)

V= 43\frac{4}{3} π r3r^3

51.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

a)

320.4 in3

b)

314 in3

c)

205.5 in3

d)

267.4 in3

52.

Calculate the amount of ice cream this cone can hold (just to the top of the cone). Round to the nearest hundredth.


***Remember to take half of the diameter to get the radius.***

a)

58.29 cm2

b)

58.29 cm3

c)

233.15 cm2

d)

233.15 cm³

53.

Vtotal=Vcone+VcylinderV_{total}=V_{cone}+V_{cylinder}  V = ?


Vtotal=πr2h3+πr2hV_{total}=\frac{\pi r^2h}{3}+\pi r^2h  Remember there are 2 different heights.

a)

1,356 m3

b)

1,734 m3

c)

377 m3

d)

590 m3

54.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
55.

Which object is shaped like a cylinder?

a)
b)
56.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
57.
You have a globe that has a radius of 11 inches. Find the volume of your globe. 
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
58.
Jack wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14 for pi.
a)
83.6 cm³
b)
2144.7 cm³
c)
254 cm³
d)
2220 cm³
59.

Find the volume of the sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

1,562.7 cubic in.

b)

1,325.5 cubic in.

c)

1,129.9 cubic in.

d)

1,819.6 cubic in.

60.
The "B" in the volume formula refers to...
a)
the base
b)
area of the base
c)
the height of the base
d)
the height of the prism
61.
The "h" in the volume formula refers to...
a)
the base
b)
the area of the base
c)
the height of the prism
62.
When calculating volume of a pyramid, your last step is to always...
a)
divide by 3
b)
add the lengths of all the sides
c)
divide by 2
d)
multiply by 2
63.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
216 yd3
b)
108 yd3
c)
72 yd3
d)
36 yd3
64.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
21 m3
b)
64 m3
c)
32 m3
d)
11 m3
65.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
160 in3
b)
960 in3
c)
480 in3
d)
320 in3
66.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
108 km3
b)
324 km3
c)
216 km3
d)
648 km3
67.
Which of the measurements from the prism will you NOT use to calculate the volume?
a)
6 ft
b)
8 ft
c)
10  ft
d)
12 ft
68.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
120 ft3
b)
96 ft3
c)
288 ft3
d)
 192 ft3
69.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
64 yd3
b)
80 yd3
c)
192 yd3
d)
128 yd3
70.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
10 m3
b)
30 m3
c)
60 m3
d)
25 m3
71.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
528 in3
b)
352 in3
c)
220 in3
d)
176 in3
72.

What is surface area?

a)

The measure of the amount of space inside of a solid figure

b)

The sum of all the areas of all the shapes that cover the object

73.

Is surface area.......

a)

Filling in a 3 dimensional shape

b)

Wrapping the outside of a 3 dimensional shape

74.

How do you find the AREA of a TRIANGLE?

a)

Length x Width divided by 2

b)

Length x Width

c)

1/3 (Length x Width)

d)

Base x Height

75.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
76.
Find the surface area of the rectangular prism.
a)
94 cm. squared
b)
60 cm. squared
c)
12 cm. squared
d)
19 cm. squared
77.

What is the total surface area of the triangular prism shown?

a)

414 in2

b)

468 in2

c)

576 in2

d)

700 in2

78.
What is the surface area formula for a cylinder?
a)
A = πrl + πr2
b)
A = 2πrh + 2πr2
c)
A = 4πr2
d)
A = πr2
79.

What is the surface area of the cylinder to the nearest square inch? Use 3.14.

a)

625 in2

b)

1300 in2

c)

1046 in2

d)

848 in2

80.
What is this formula?
a)
suface area of a cone
b)
surface area of a sphere
c)
volume of a cone
d)
volume of a sphere
81.

Find the surface area. Use 3.14.

a)

125.6 in2

b)

314 in2

c)

521.24 in2

d)

1,256 in2

82.

Find the Surface Area

a)

12 m2

b)

16 m2

c)

20 m2

d)

34 m2

83.

Calculate the composite surface area of the figure, to the nearest square centimeter. Use 3.14.

a)

4,227 cm2

b)

4,542 cm2

c)

4,605 cm2

d)

5,262 cm2

84.

What is the surface area?

a)

6658.56 mm2

b)

452.16 mm2

c)

904.32 mm2

d)

108.8 mm2

85.

For a sphere with a radius of 8, what is the Surface Area?

a)

803.84

b)

10096.2304

c)

2143.573

d)

100.48

86.
Find the surface area of the hemisphere
a)
904.3 in2
b)
226.1in2
c)
113.0 in2
d)
452.2 in2
87.

The Pythagorean Theorem ONLY works on which triangle? 

a)

Obtuse

b)

Right

c)

Acute

d)

Isosceles

88.

What is the side of a right triangle across from the right angle called?

a)

Square

b)

Arm

c)

Leg

d)

Hypotenuse

89.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

Not enough information

90.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

91.

Side c on a right triangle is ALWAYS the longest.

a)

True

b)

False

92.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

93.

Is this a right triangle

a)

Yes

b)

No

94.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

172+82=b217^2+8^2=b^2  

b)

82+b2=1728^2+b^2=17^2  

c)

172+b2=8217^2+b^2=8^2  

d)

82b2=172100\frac{8^2}{b^2}=\frac{17^2}{100}  

95.

What is the opposite of squaring a number

a)

divide

b)

multiply

c)

square root

d)

fractions

96.

The Pythagorean is used to find what

a)

missing sides only

b)

missing angles only

c)

either missing sides or angles

97.

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? 

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

98.

What is the formula for Pythagorean Theorem?

a)

a^2+b^2=c^2

b)

b-a=c

c)

c^2+b^2=a^2

d)

a+b=c

99.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
100.

Find the length of the missing side

a)

48

b)

108

c)

83.6

d)

72

101.
What is the diagonal length of the iPad?
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
102.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
103.
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs? 
a)
26.5 yards
b)
10 yards
c)
50 yards
d)
46.7 yards
104.
Which equation is modeled by the picture shown?
a)
32+52=42
b)
32+42=52
c)
52+42=32
d)
92+162=252
105.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
106.
What is the type of association?
a)
Negative 
b)
no association
c)
positive 
107.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
108.
As x increases, y decreases.
a)
no correlation
b)
negative correlation
c)
correlation coefficient
d)
positive correlation
109.
If Gold's Gym is looking to buy 30 TVs, how much will each one cost?
a)
400
b)
750
c)
1250
d)
0
110.
If the debate team practiced for only 1 hour, how many debates are they expected to win?
a)
2
b)
6
c)
10
d)
14
111.
Graph has a slope of 1/2 and a y- intercept of 1.  Write the equation in slope - intercept form
a)
y = 1x+1/2
b)
y = 1/2x + 1
112.
Find the slope for the trend line using points (2,2) and (4,3)
a)
2
b)
1/2
c)
-2
113.
In a scatterplot, an outlier...
a)
...is Q1 - (1.5 x IQR) or Q3 + (1.5 x IQR) 
b)
...is a puppet with a long nose named Pinocchio
c)
...is a point that is far outside the main cluster of points/ordered pairs
d)
...is a really naughty point who doesn't tell the truth when outside
114.
The range of a function is ______________________
a)
the domain
b)
the x-values
c)
the maximum minus the minimum
d)
the y-values
115.
The x-values of a function can also be called...
a)
the dependent values
b)
the algebra numbers
c)
the domain
d)
the range
116.
The linear regression equation for the data is  y = 1.5x + 12.  Interpret the slope of the equation.
a)
The slope is (0, 1.5).  It means that a pizza with 0 toppings will cost $1.50.
b)
The slope is 1.5.  It means that it costs $1.50 per topping.
c)
There are 1.5 toppings.
d)
There are 1.5 pizzas.
117.
Data was collected on the weight of a male  laboratory rat for the first 25 weeks after its birth. The linear regression equation is 
y= 40x+100, where x is number of weeks and y is weight in grams. 
What does the y-intercept mean in context of the problem?
a)
The predicted weight of the rat in year 0. 
b)
The predicted weight of the rat at birth. 
c)
The current weight of the rat. 
d)
The average increase in the rat's weight. 
118.
In the scatter plot, does the image shows a "Line of Best Fit"?
a)
Yes
b)
No
119.
Which statement best describes the relationship shown in this scatter plot?
a)
Students with a bigger shoe size earn a higher math score
b)
Students with a smaller show size earn a higher math score
c)
A student's shoe size has no effect on their math score
d)
A student with a shoe size of 8 will always earn a score of 80%
120.
Which graph shows a line of best fit for the scatter plot?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
121.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

122.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

123.

Which with is the line of best fit?

a)

A) Black

b)

B) Orange

c)

C) Red

d)

D) Blue

124.
The correlation coefficient is a number "r" such that: 
a)
-1<r<1
b)
-1>r>1
c)
-1≤r≤1
d)
-1≥r≤1
125.

What type of association does this scatterplot show?​ (a)  

Choose from the below words
positive
negative
none
126.

What type of correlation does this scatterplot show?​ (a)  

Choose from the below words
linear
none
non-linear
127.

What can you say about this relationship?​

As age ​ (a)   study time ​ (b)  

Choose from the below words
none
decreases
increases
128.

What type of association does this scatterplot show? ​ ​ (a)  

Choose from the below words
negative
none
positive
129.

What type of correlation does this scatterplot show? ​ ​ ​ ​ (a)  

Choose from the below words
none
non-linear
linear
130.

What can you say about this relationship? ​As your age ​ (a)   daily family time ​ (b)   .

Choose from the below words
none
linear
increases
decreases
131.

This scatterplot shows a ​ (a)   association.

Choose from the below words
negative
positive
no
132.

This scatterplot shows a ​ (a)   correlation.

Choose from the below words
positive
no
non-linear
linear
133.

What can you say about this relationship? As daily T.V. time ​ (a)   grades ​ (b)   .

Choose from the below words
positive
no
non-linear
increases
decrease
134.

This scatterplot shows a ​ (a)   association.

Choose from the below words
negative
positive
no
135.

This scatterplot shows a ​ (a)   correlation.

Choose from the below words
linear
positive
no
non-linear
136.

What can you say about this relationship? As the minutes ​ (a)   the gallons in tank ​ (b)   .

Choose from the below words
positive
no
non-linear
increase
decrease
negative
linear
137.

This scatterplot shows a ​ (a)   association.

Choose from the below words
positive
negative
no
linear
non-linear
increase
decrease
138.

This scatterplot shows a (a)   correlation.

Choose from the below words
negative
no
linear
non-linear
increase
decrease
positive
139.

What can you say about this relationship? As the number of hours ​ (a)   the inches of snow ​ (b)   .

Choose from the below words
negative
no
non-linear
increase
decrease
positive
linear
140.

This scatterplot shows ​ (a)   association.

Choose from the below words
negative
non-linear
decrease
positive
linear
increase
no
141.

This scatterplot shows ​ (a)   correlation.

Choose from the below words
negative
non-linear
decrease
positive
linear
increase
no
142.

What can you say about this relationship? There is ​ (a)   relationship between your age and the first letter of your last name.

Choose from the below words
negative
no
non-linear
decrease
positive
linear
increase

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