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8th Grade Math Milestone Review

Total questions: 86

Worksheet time: 3hrs 19mins

Name
Class
Date
1.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
2.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
3.
Simplify 4-2= 
a)
1/16
b)
-16
c)
1/4
d)
-42
4.

x-3

a)

-x3

b)

1 / x3

c)

1 / x-3

d)

-x-3

5.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
6.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
7.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

8.

5x+4=5x+45x+4=5x+4  

a)

one solution

b)

no solution

c)

infinite solutions

9.

3(x+4)=3(x−8)3\left(x+4\right)=3\left(x-8\right)  

a)

one solution

b)

no solution

c)

infinite solutions

10.

6x=5x6x=5x  

a)

one solution

b)

no solution

c)

infinite solutions

11.

4−2x=2x−44-2x=2x-4  

a)

one solution

b)

no solution

c)

infinite solutions

12.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
13.
125,678,000: Change to scientific notation
a)
1.25678  x  1012
b)
.125678  x  10-9
c)
12.5678  x  108
d)
1.25678  x  108
14.

Write the answer in scientific notation.

5.3 x 105 + 3.7 x 105 =

a)

99.0 x 105

b)

9.9 x 1010

c)

8.0 x 105

d)

9.0 x 105

15.
Write the answer in scientific notation.
5 x 108 -   3.4 x 108  =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
16.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
17.
The mean distance from the sun to Earth is 9.29 x 107 miles. Jupiter's mean distance from the sun is 4.8388 x 108 miles. What is the difference between these two distances in miles? 
a)
4.3092 x 101
b)
3.9098 x 107
c)
3.9098 x 108
d)
5.7678 x 108
18.
The mass of he sun is 1.989 x 1030 kilograms. The mass of the earth is 5.98 x 1024 kilograms. How many times bigger is the sun than the earth?
a)
3.326 x 105
b)
3.326 x 106
c)
1.99 x 1030
d)
1.99 x 106
19.
By area, Russia is the largest country in the world. It has an area of 8.649 x 106 square miles. Canada is second with 4.797 x 106 square miles. What is the difference in area?
a)
3.852 x 106 square miles
b)
3.852 x 100 square miles
c)
1.803 x 106 square miles
d)
1.803 x 101 square miles
20.
Is the result rational or irrational? Explain.
a)
Rational; The sum of two rationals is always rational.
b)
Irrational; The sum of a rational and an irrational is always irrational.
c)
Rational; The product of two rationals is always rational.
d)
Irrational; The product of a nonzero rational and an irrational is always irrational.
21.

Determine whether π\pi  is rational or irrational.

a)

Rational

b)

Irrational

22.

Which of the following numbers is rational?

a)

7\sqrt{7}

b)

23\frac{2}{3}

c)

3.1456289...

d)

π\pi

23.

Which of the following numbers is not rational?

a)

−3-3

b)

2.72.7

c)

4\sqrt{4}

d)

5\sqrt{5}

24.

Select ALL numbers that are irrational.

a)

10

b)

-21

c)

π\pi

d)

102\frac{10}{2}

e)

10\sqrt{10}

25.

What is the volume, in cubic inches, of the cylinder?

a)

120π

b)

240π

c)

960π

d)

1800π

26.

What is the volume, in cubic meters, of the sphere?

a)

602.88

b)

1808.64

c)

57876.48

d)

7234.56

27.

The volume of a cone is 1/3 the volume of a cylinder when the radii and heights are equal.

a)

True

b)

False

28.
Jack is making 4 cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximately how many cubic centimeters of wax will Jack need to make the candles?
a)
7,389 cm3
b)
6,333 cm3
c)
3,167 cm3
d)
1,847 cm3
29.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
30.
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
31.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
32.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
33.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
34.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
35.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
36.
What is the algebraic notation of a figure is Translated 9 units right and 3 units down?
a)
(x, y) --> (x - 9, y + 3)
b)
(x, y) --> (x + 9, y - 3)
c)
(x, y) --> (x + 3, y - 9)
d)
(x, y) --> (9x, 3y)
37.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

38.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
39.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
40.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
41.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

linear pair

c)

corresponding angles

d)

vertical angles

42.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
43.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
44.

If angle P measures 60 degrees, what is the measure of angle C?

a)

60 degrees

b)

30 degrees

c)

120 degrees

d)

180 degrees

45.

If angle B measures 135 degrees, find the measure of angle Q.

a)

135 degrees

b)

45 degrees

c)

60 degrees

d)

180 degrees

46.
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
47.
a)
Function
b)
Not a Function
48.
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
49.
a)
Function
b)
Not a Function
50.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
51.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
52.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
53.
Which of these is NOT the same
a)
Range
b)
Input
c)
Dependent Value
d)
Y-Value
54.
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.
55.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
56.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
57.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
58.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
59.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
60.
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)
61.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
62.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
63.
Which ordered pair could you add to the following list of points to create a function?  (3, 5) (4, 9) (2, 5) 
a)
(3, 7)
b)
(4, 1) 
c)
(1, 9)
d)
(2, 6)
64.
Does the table represent a function?
a)
Yes, there  is a repeated x-value. 
b)
No, there aren't any repeated y-values. 
c)
Yes, there are repeated y-values. 
d)
No, there is a repeated x-value. 
65.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
66.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
67.
Transform from standard form to slope intercept form:    2x-3y=10
a)
y=-2x+10
b)
y= 2/3x-10/3
c)
y=-2/3x+ 10/3
d)
y=2/3x+10
68.
What equation does the table represent?
a)
y=x+1
b)
y=x-1
c)
y=2x+1
d)
y=2x-1
69.
Which equation matches the table?
a)
y=2x
b)
y=x-3
c)
y=x+2
d)
y=1/2x
70.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
71.
Writing Equations:
Given the following table, write the linear equation.
a)
y = 9x + 3
b)
y = 3x + 12
c)
y = 3x + 9
d)
y = 1x + 12
72.

In this graph, a bus is:

a)

moving

b)

standing still (stationary)

c)

speeding up (accelerating)

d)

slowing down (decelerating)

73.

It is TRUE that (more answers possible):

a)

the graph shows a steep slope line.

b)

the speed is steady in the graph.

c)

a bus is moving forward.

d)

a bus is returning back.

74.

Match the description to the graph:

"The car is stopped."

a)
b)
c)
d)
75.

Match the description to the graph:

"The car is traveling at a constant speed."

a)
b)
c)
d)
76.

Segment A-B The bus is _________________.

a)

at rest

b)

returning (to original position)

c)

moving forward

77.
What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school? 
a)
4%
b)
14%
c)
13%
d)
29%
78.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
79.
The graph above shows a line of best fit for data collected on the distance bicyclists have remaining in relation to the amount of time they have been riding.  What is the equation of the line of best fit?
a)
y = -25x + 170
b)
y = 25x + 170
c)
y = -(5/8) x + 170
d)
y = (5/8) x + 170
80.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
81.
What is the correlation?
a)
Negative correlation
b)
No correlation
c)
Positive correlation
d)
All of the above
82.
What is the correlation between length of running start and distance of jump?
a)
positive:  the further you run the further you jump
b)
negative: the less you run the less distance of your jump
c)
positive: the further your running start the less your distance
83.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
84.

What is the solution to the system of equations below?


2x+y=72x+y=7  
3x+2y=163x+2y=16  

a)

(2,5)

b)

(2,11)

c)

(-2,-11)

d)

(-2,11)

85.

What are the solutions to the system of equations below?


7x−5y=387x-5y=38  
2x+10y=−122x+10y=-12  

a)

x = 4 and y = -2

b)

x = 4 and y = 2

c)

x = -4 and y = 2

d)

x = -4 and y = -2

86.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
a)
yes
b)
no

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