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Open Up Resources 8th Grade Cumulative Final Review

Total questions: 50

Worksheet time: 2hrs 48mins

Name
Class
Date
1.

If m∠1 = 30°, then m∠2 =

a)

30°

b)

60°

c)

150°

d)

undetermined

2.

Identify the transformation.

a)

Reflection over the y-axis

b)

Reflection over the x-axis

c)

180 Rotation

d)

Translation 2 units down

3.

Describe the transformation from the blue triangle onto the red triangle.

a)

Translation 5 units right and 3 units down

b)

Rotation 90° clockwise about the origin (0, 0)

c)

Reflection across the y-axis

d)

Rotation 90° clockwise about point a, then a translation 4 units to the right

4.
How is triangle ABC being translated to triangle A'B'C'?
a)
 left 8, up 3
b)
left 4, up 9
c)
right 8, down 3
d)
right 4, down 9
5.

Is the first figure a rigid transformation of the second figure?

a)

Yes, they maintain side lengths and angle measures.

b)

No, because the transformation didn't maintain side lengths.

c)

No, because the figures didn't maintain angle measures.

d)

Yes, they are the same shape and size.

6.

ΔIJK≅Δ\Delta IJK\cong\Delta  _______

a)

SRT

b)

STR

c)

TRS

d)

RST

7.

ΔDCB≅Δ\Delta DCB\cong\Delta  

a)

IHG

b)

IGH

c)

GHI

d)

HGI

8.

Given ΔADC≅ΔCBA\Delta ADC\cong\Delta CBA  , find the value of x.

a)

51

b)

13

c)

27

d)

21

9.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
10.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
11.
A dilation is which of the following: 
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
12.

A dilation produces a congruent figure

a)

True

b)

False

13.
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
14.
Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
15.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
16.

The equation of a line is y = ⅔ x. Select ALL the points that are on the line.

a)

(0,0)

b)

(3, 3)

c)

(-1 , -2/3)

d)

(3, 2)

e)

(6, 5)

17.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
18.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
19.

Which equation best represents the relationship between x and y in the table shown?

a)

y = 5x + 5

b)

y = 1/5x + 5

c)

y = 15x + 5

d)

y = 10x + 5

20.

Which of the following graphs have the steepest slope?

a)

purple

b)

red

c)

blue

d)

green

21.

From the equation x + 16 = 14, what is the solution to the equation?

a)

x = 2

b)

x = -2

c)

x = 1

d)

x = -1

22.

From the equation 12(z + 10) = 156, what is the solution to the equation?

a)

z = 3

b)

z = -3

c)

z = 61

d)

z = -61

23.

Solve for r:

a)

r = 3

b)

r = -3

c)

r = 3.3

d)

r = 10

24.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
25.

What is the solution to this system of equations?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

26.

A linear function has which of the following?

(Select ALL that apply.)

a)

Three variables in a linear relationship

b)

An equation in the form y = mx + b

c)

A constant rate of change

d)

A straight line when graphed

27.

Joey earns $15 per hour working at a furniture store. Which of the following variables would apply to this relationship?

a)

Days worked and amount of furniture purchased

b)

Money earned and days worked

c)

Money earned and the amount of hours worked

d)

Money earned and discounts received

28.
The grocery store sells cantaloupes for $4.50 per pound.  Write a function to represent the cost, c, for the number of pounds of cantaloupes bought, p.
a)
c = 45p
b)

c = 4.50p

c)

p = 4.50c

d)
p = 45c
29.

The table shows the temperature of a light bulb. Which of the following statements are true?

a)

The temperature of the light bulb is increasing by 2 degrees every minute

b)

The temperature of the light bulb is decreasing by 2 degrees every minute

c)

The temperature of the light bulb is increasing by 20 degrees every minute

d)

The temperature of the light bulb is decreasing by 20 degrees every minute

30.

This graph shows Marie's trip to work. On her Way she had to return home because she forgot her lunch. Which segment best represents this?

a)

Segment A to B

b)

Segment B to C

c)

Segment C to D

d)

Segment D to E

e)

Segment E to F

31.
The formula for the volume of a...
a)
sphere
b)
cone
c)
cylinder
d)
cube
32.
What is the formula for volume of a cone?
a)
V = π r²
b)
V = π r² h
c)
V =  ⅓π r² h 
d)
V =  ⅓ L W H
33.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
34.
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
a)
The cylinder is 1/3 the volume of the cone. 
b)
The cone is 1/3 the volume of the cylinder. 
c)
They have the same volume. 
d)
Their volumes are not related at all. 
35.
v = ?
a)
2,144.66 m3
b)
1,608.49 m3
c)
536.17 m3
d)
498.62 m3
36.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
5572.45 cm3
b)
506.59 cm3
c)
126.65 cm3
d)
1393.11 cm3
37.
What is a scatter plot?
a)
A graph that shows the relationship of two data sets.
b)
A graph drawn using rectangular bars to show how large each value is.
c)
A graph that shows information that is connected in some way.
d)
A graph that shows data changing over time.
38.

Which graph represents a positive nonlinear association between x and y?

a)

Graph A

b)

Graph B

39.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
40.
As the age of the car increases, its value decreases. Which scatterplot represents this relationship?
a)
A
b)
B
c)
C
d)
D
41.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
42.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
43.
Simplify 4-2= 
a)
1/16
b)
-16
c)
1/4
d)
-42
44.

Write the expression with positive exponents:

x6x2\frac{x^6}{x^2}  

a)

x4

b)

x12

c)

x3

d)

x8

45.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
46.
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
47.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
48.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
49.
The √20 is between which two consecutive integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
50.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5

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