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8th Grade Holiday Math Mid-Year Review

Total questions: 55

Worksheet time: 3hrs 40mins

Name
Class
Date
1.
Write 7.113 x 107 in standard form.
a)
71,130,00
b)
7,113,000
c)
0.0000007113
d)
7,113
2.
Write 0.00000707 in scientific notation.
a)
7.07 x 10-6
b)
7.07 x 106
c)
707 x 108
d)
707 x 10-8
3.
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
4.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
5.
Which is the largest?
4.8 x 10-6 
1.3 x 1020
3.1 x 10-4
9.2 x 10-5 
9.5 x 1032
5.9 x 10-5
2.9 x 1021
8.4 x 1019
a)
9.5 x 1032
b)
3.1 x 10-4
c)
8.4 x 1019
d)
4.8 x 10-6 
6.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
7.
(9 x 1011) – (6.4 x 1010)
a)
2.6 x 101
b)
8.36 x 1011
c)
2.6 x 1011
d)
8.36 x 101
8.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
9.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
10.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
11.
How do you solve:
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
12.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
13.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
14.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
15.
Solve.
3 - 5x = -9 + x
a)
4
b)
3
c)
2
d)
1
16.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
17.
Solve:
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
18.
3r - 5 = 2r
a)
No solution
b)
Infinitely many solutions
c)
r = 5
19.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x
a)
one
b)
no solutions
c)
infinite solutions
20.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
21.

Simplify the expression using exponents.

a)

818

b)

915

c)

98

d)

8115

22.

Using exponents, what is the simplified form of this expression?

a)

59

b)

15

c)

514

d)

55

23.

Using exponents, what is the simplified form of the expression (24)7

a)

23

b)

1428

c)

228

d)

211

24.

How do you write 8.7 x 10-1 in standard form?

a)

0.87

b)

8.7

c)

87

d)

0.087

25.

How many times larger is 5 x 107 than 5 x 102?

a)

1 x 106

b)

1 x 104

c)

1 x 105

d)

1 x 109

26.
What does the ( E )in PEMDAS mean?
a)
experience
b)
exponents
c)
examples
d)
evidence
27.
congruent; formed by two intersecting lines
a)
origin
b)
vertical angles
c)
exterior angles
d)
independent
28.
What is scientific notation?
a)
A long way to write really short  numbers
b)
A short way to write really long numbers
c)
I don't know...
d)
None of the above
29.
If (2x)5=215, what does x equal?
a)
x = 3
b)
x = 5
c)
x = 10
30.
Simplify             (7x4)(9x3)
a)
16x12
b)
79 x12
c)
63x4+3 = 63x7
d)
63x12   noooo oh nooooo
31.
What is the base in 28 ?
a)
8
b)
2
32.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
33.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
34.
Which type of triangle has two sides that are congruent?
a)
Equilateral
b)
Isosceles
c)
Scalene
d)
Right
35.
Find the Value of X. 
Find the angle measure of ABD and DBC. 
a)
X=10, ABD=34 degrees DBC= 156 degrees 
b)
X=13, ABD=64 degrees DBC= 106 degrees 
c)
X=12, ABD=54 degrees DBC= 126 degrees 
36.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right 
d)
straight
37.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
38.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
39.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
40.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
41.
a)

20°

b)

30°

c)

40°

d)

60°

42.

What is the value of x in the figure below?

a)

18°

b)

22°

c)

45°

d)

30°

43.
Determine the missing angle.
a)
145
b)
55
c)
35
d)
45
44.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
45.
What Christmas Ballet is the most famous of all?
a)
Rudolph's Surprise
b)
The Nutcracker
c)
Mr. and Mrs. Claus
d)
Frosty goes to New York
46.
What does Alvin want for Christmas?
a)
An IPod
b)
A bottle of Coke
c)
A hula hoop
d)
A new car
47.
What is Frosty the Snowman's nose made of?
a)
Carrot
b)
Potato
c)
Button
d)
Rock
48.
Who is Ebenezer?
a)
The milk man
b)
The 23rd President
c)
The Scrooge
d)
Mrs. Claus' Secret Friend
49.
Which reindeer's name starts with a B?
a)
Bart
b)
Blitzen
c)
Burt
d)
Budog
50.
In the classic 1964 tv special Rudolph the Red-Nosed Reindeer, what did Hermey the elf want to be?
a)
Psychologist
b)
Magician
c)
Dentist
d)
Santa Claus
51.
In which movie did one of the kids get his tongue stuck to a flagpole?
a)
Christmas Vacation
b)
A Christmas Story
c)
Polar Express
d)
Santa Claus Is Coming to Town
52.
Two men broke into a house and had a LOT of trouble in which movie?
a)
Trouble With Claus
b)
Christmas Vacation
c)
Deck the Halls
d)
Home Alone
53.
What is the longest running Christmas special of all time?
a)
Charlie Brown Christmas
b)
Rudolph the Red-Nosed Reindeer
c)
Frosty the Snowman
d)
A Year Without Santa Claus
54.
In The Nightmare Before Christmas, what was the name of the Pumpkin King of Halloween Town?
a)
King Pumpkin
b)
Jack Skellington
c)
Skeleton King
d)
Jack Frost
55.
In "Miracle on 34th Street," Kris Kringle is hired to play Santa in what store?
a)
Macy's
b)
Target
c)
Walmart
d)
Boscov's