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8th Grade Math End of Year Review

Total questions: 70

Worksheet time: 1hrs 10mins

Name
Class
Date
1.
a)
b)
c)
d)
2.

What is the value of the expression (-4)3 ?

a)

-64

b)

-12

c)

12

d)

64

3.
a)

1018

b)

1012

c)

105

d)

112

4.
a)

67

b)

610

c)

367

d)

3610

5.

Rory's garden is square in shape. The length of one side of her garden is 52 feet. What is the area of her garden in square feet? Express your answer using exponents.

a)

104

b)

102

c)

54

d)

625

6.

What is the simplified form of the expression (3x4)3?

a)

9x7

b)

9x12

c)

27x7

d)

27x12

7.

How is the expression 5-3 written using a positive exponent?

a)
b)
c)
d)
8.
a)

-32

b)

-23

c)

2-3

d)

3-2

9.
Which statement describes the relationship between the data sets displayed on the scatterplot?
a)
The number of pets owned by a student increases as the student’s science test score increases.
b)
The number of pets owned by a student decreases as the student’s science test score increases.
c)
The number of pets owned by a student remains the same as the student’s science test score increases.
d)
There is no relationship between the number of pets owned by a student and the student’s science test score.
10.
Mrs. Patillo wanted to know whether there was a relationship between two sets of her students’ test scores. The scatterplot below shows the scores of her students. Which statement best describes the relationship?
a)
No correlation
b)
Constant relationship
c)
Negative correlation
d)
Positive correlation
11.
Which statement is true about the scatter plots?


a)
Graph 1 shows a strong relationship, and Graph 2 shows a weak relationship.
b)
Graph 2 shows a strong relationship, and Graph 1 shows a weak relationship
c)
Graph 1 shows a negative correlation, and Graph 2 shows a positive correlation.  
d)
Graph 2 shows a negative correlation, and Graph 1 shows a positive correlation.
12.
A used-car dealer kept records of the selling price of his used cars in 2005. The scatterplot shows the average selling price of his used cars based on the age of the used car. Using the graph, which is the closest to the selling price of an 8-year-old car?
a)
$7500
b)
$5000
c)
$2500
d)
$500
13.
The scatterplot below suggests which of the following types of data relationship?
a)
Weak, negative
b)
weak, positive
c)
strong, negative
d)
strong, positive
14.
The scatter plot below shows John’s scores in the seven math and science chapter tests this semester. Which statement best describes the association between his math and science test scores?
a)
positive, linear, no outliers
b)
negative, linear, no outliers
c)
positive, linear, one outlier
d)
negative, linear, one outlier
15.
Which situation would most likely have a scatterplot with a negative correlation?
a)
age of a baby and weight of that baby
b)
outside temperature and cooling costs
c)
amount of air in a balloon and size of balloon
d)
number of questions missed on a test and test grade
16.
Name the correlation in this graph
a)
Negative Correlation
b)
No Correlation
c)
Lots of Correlation
d)
Positive Correlation
17.
Name the correlation in this sentence: The number of people in an audience and ticket sales. 
a)
No Correlation
b)
Positive Correlation
c)
Negative Correlation
d)
Lots of Correlation
18.
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?
a)
The daily fee for the moving truck
b)
The per-mile fee for the moving truck
c)
How much Charlie paid for the truck
d)
The number of miles he drove
19.

What is 7,000,000 written in scientific notation?

a)

7 million

b)

7 x 10-6

c)

7 x 106

d)

7 x 107

20.

What is the volume of the Cylinder?

a)

565.2 yd3

b)

141.3 yd3

c)

180 yd3

d)

30 yd3

21.

Evaluate the expression.

a)

b

b)

b1.25

c)

b20

d)

b9

22.

What is the radius of the circle?

a)

5 inches

b)

10 inches

c)

20 inches

d)

3.14 inches

23.

What is 3.2 x 10-4 written in standard form?

a)

32,000

b)

320,000

c)

0.00032

d)

0.000032

24.

What is the volume of a cone with a diameter of 10 cm and a height of 6 cm? (Use 3.14 for π)

a)

60 cm3

b)

188.4 cm3

c)

471 cm3

d)

157 cm3

25.

Which of the following is rational?

a)

√2

b)

√25

c)

√3

d)

√50

26.

Which of the following is irrational?

a)

∛8

b)

π

c)

√9

d)

-0.85

27.

Which graph shows a function?

a)
b)
28.

How many solutions does √16 have?

a)

one

b)

two

c)

infinite

d)

none

29.

What is the missing side length?

a)

7

b)

1

c)

5

d)

6

30.

What is the length of side a?

a)

18

b)

8

c)

10

d)

12

31.
Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?
a)
The monthly fee
b)
How much Rich pays per visit
c)
The number of times Rich goes to the gym
d)
The total cost at the end of the month
32.
Which expression represents the phrase?
The product of x and 3, increased by 4
a)
3(x + 4)
b)
x + 3 + 4
c)
4x + 3
d)
3x + 4
33.
Which expression represents the phrase?
5 less than 8 times x
a)
8(x – 5)
b)
8x – 5
c)
5x – 8
d)
8 – 5x
34.
Find the equivalent simplified expression.
4(x  +  6)
a)
4x  +  24
b)
4x  +  6
c)
x4  +  10
d)
x  +  24
35.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
36.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
37.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
38.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
39.
What type of slope does this graph have?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
40.
The formula for slope has _____ on top.
a)
y2- y1
b)
x2- x1
c)
y1- y2
d)
x1- x2
41.
0.8 is a rational number
a)
True
b)
False
42.
In the equation y=mx+b, m is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
43.
What is the base in 28 ?
a)
8
b)
2
44.
In the Pythagorean Theorem, c is always the ____ number.
a)
largest
b)
smallest
c)
middle
d)
first
45.
0.0000713 converted to scientific notation is ______.
a)
7.13 x 10-5
b)
7.13 x 105
c)
7.13 x 10-4
d)
7.13 x 104
46.
At a home improvement store, customers can rent a small cargo truck to transport any large items they purchase.  The store charges $20 as a rental fee plus $7.50 per hour to rent the truck.  Which equation best represents the situation?  
a)
y=7.5x - 20
b)
y=7.5x + 20
c)
y=20x - 7.5
d)
y=20x + 7.5
47.
What kind of angles are shown?
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
48.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

the best angle

49.
Solve for x
a)
6
b)
140
c)
20
d)
90
50.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
51.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
52.
Slope, in basic terms, is simply...
a)
Rise over run
b)
Run over rise
c)
Left over down
d)
Right over up
53.
In the equation y=mx+b, b is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
54.
The Pythagorean Theorem is _____.
a)
a2+b2=c2
b)
a2+c2=b2
c)
b2+c2=a2
d)
a2-b2=c2
55.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
56.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
57.
Determine the slope.
a)
m=1/7
b)
m=-1/7
c)
m=-7
d)
m=7
58.
Solve for x:
4(1-x)+3x=-2(x+1)
a)
x = -6
b)
x = 6
c)
x = 3
59.
Which number is NOT a perfect square?
a)
196
b)
169
c)
121
d)
132
60.
Find the slope.
a)
5/1
b)
1/5
c)
2/1
d)
1/2
61.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
62.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
63.
To distribute, like for 2(x+3), you must _________.
a)
Multiply 2 by both x and 3 separately
b)
Add x and 3 to get 3x and then multiply by 2
c)
Add 2 to both x and 3 separately
d)
Multiply 2 by x only
64.
When you combine like terms, you can only combine terms which have the same _______.
a)
Variables with them, like 2x+3x=5x
b)
Numbers, like 2x+2y=4xy
65.
The reciprocal of a fraction, like 3/5, is ______.
a)
The top and bottom switched, like 5/3
b)
Is the same as it was, like 3/5
c)
Is the two numbers added together, like 8
d)
Is the two numbers subtracted from each other, like 2
66.
The reciprocal of a whole number, like 2, is ______.
a)
Is always a fraction, like 1/2
b)
Is always a fraction, like 2/1
c)
Is always a whole number, like 2
d)
Is always a mixed number, like 21/2
67.
When you translate, you are simply _______ the shape around the coordinate plane.
a)
Sliding
b)
Rotating
c)
Reflecting
d)
Expanding
68.
When you rotate a shape, the shape remains ________.
a)
Congruent
b)
In the same place
c)
In the same orientation
d)
A function
69.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
70.
To find perimeter, you simply _______ all the sides together.
a)
Add
b)
Subtract
c)
Multiply
d)
Divide