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Pre-algebra 1st half review

Total questions: 108

Worksheet time: 3hrs 13mins

Name
Class
Date
1.
15 x 19 + 18 ÷ 6 = 
a)
250
b)
199
c)
400
d)
288
2.
2 + 4⋅6 − 3⋅5 + 6⋅2
a)
23
b)
34
c)
-1
d)
33
3.
3[(4 + 6) ÷ 2]
a)
15
b)
21
c)
9
d)
12
4.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
5.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190
6.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
7.
-67 - -21
a)
88
b)
46
c)
-88
d)
-46
8.
Absolute value tells the distance of a positive or negative number from 0.
a)
True
b)
False
c)
do not answer
d)
do not answer
9.
Which set of integers are in order from least to greatest?
a)
3, -8, 0, -3, 11
b)
-1, 0, 1, 2, 3,
c)
-11, -12, -13, -14, -15
d)
4, 3, 2, 1, 0
10.
-90 + -71
a)
109
b)
-161
c)
161
d)
109
11.
98 - -76
a)
176
b)
12
c)
174
d)
12
12.
Zero is neither positive nor negative.
a)
True
b)
False
13.
Order from least to greatest:
[-2, 4, 23, -1, 5, -3, 6]
a)
-3, -2, -1, 4, 5, 6, 23
b)
23, 5, -1, -3, -2, 4, 6
c)
-1, -2, -3, 4, 5, 6, 23
d)
4, 5, 6, 23, -1, -2, -3
14.
What is the absolute value of 19
a)
–19
b)
19
15.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
16.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
17.
(x - 6)4
a)
24 - 4x
b)
4x - 6
c)
x - 24
d)
4x - 24
18.
5(2x-11)
a)
-10x-55
b)
10x-55
c)
55-10x
d)
10x+55
19.
2(3v - 8) 
a)
6v-16
b)
6v-8
c)
6v-6
d)
6v+8
20.
How many terms are in the expression below:
-3c + 7d
a)
one
b)
two
c)
three
d)
four
21.
How many terms are in the expression below:
3x - 6 + 4b + 5 + 7 - 2x
a)
five
b)
eight
c)
six
d)
nine
22.
Simplify:
14k + 4 + 18 - 16k
a)
30k + 14
b)
30k - 14
c)
-2k + 22
d)
-2k + 14
23.
Simplify:
-15 - 11 + 3g + 18g
a)
21g - 12
b)
21g - 4
c)
21g - 26
d)
21g + 12
24.
Simplify:
3 + 12x - 10 + 8x
a)
20x - 7
b)
20x + 13
c)
4x - 7
d)
4x + 13
25.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
26.
Name the quadrant where POINT C is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
No Quadrant
27.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
28.
15 + 7 × 2 – 11 + 35=
a)
38
b)
251
c)
53
d)
50
29.
Name the quadrant where POINT C is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
No Quadrant
30.
find the GCF of 44 and 66
a)
22
b)
5
c)
6
d)
12
31.
GCF of 45 and 80
a)
5
b)
4
c)
6
d)
7
32.
Find the Greatest Common Factor (GCF) of 60 and 75
a)
1
b)
3
c)
5
d)
15
33.
What is the LCM?
a)
The LCM is the least common factor that both numbers share the least. 
b)
The LCM is a multiple that both numbers share the most.  
c)
The LCM is a multiple that both numbers share the least. 
d)
The LCM is a factor that both numbers share the least. 
34.
Use a number tree to find the prime factorization of 64
a)
4x4x4
b)
4x4x2x2
c)
2x2x2x2x2x2
d)
4x4x2x1
35.
Use a number tree to find the prime factorization of 105
a)
7x5x3
b)
11x5x3
c)
7x5x2x1
d)
7x5x3x2
36.
Find the LCM of 18 and 24
a)
6
b)
72
c)
24
d)
5
37.
What is nine cubed in exponential form?
a)
9 x 9 x 9 
b)
93
38.
25 is the same as 2 x 5.
a)
True
b)
False
39.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
40.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
41.
Express the following in standard notation:
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
42.
Convert to standard notation:
2.4 x 10-3 
a)
2400
b)
0.24
c)
0.024
d)
0.0024
43.
Solve 5-2
a)
-10
b)
1/25
c)
1/(5)2
d)
-1/10
44.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
45.
Simplify 100
a)
10
b)
1
c)
0
d)
100
46.
Rewrite using a positive exponent.
2w-13
a)
-w13
b)
2/w13
c)
2/w-13
d)
2w13
47.
3(w + 4) = 3w + 12 is an example of...
a)
Inverse Property
b)
Distributive Property
c)
Multiplicative Inverse
d)
Associative Property
48.
(5 + 3) + 2 = 5 + (3 + 2)
a)
Commutative  Addition
b)
Commutative Multiplication
c)
Associative Addition
d)
Associative Multiplication
49.
The _______________ property of addition states that any number plus zero equals the other number.
a)
identity
b)
commutative
c)
associative
d)
Inverse
50.
2a x 6a2
a)
12a3
b)
12a
c)
2a2
d)
6a3
51.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
52.
a)
8x4
b)
8x8
c)
6x4
d)
6x8
53.
(3c2)(10c7)
a)
13c9
b)
30c5
c)
30c9
d)
-30c9
54.
In the movie Rudolph the Red-Nosed Reindeer who is the elf who wants to be a dentist?
a)
Ralphie 
b)
Harvey
c)
Hermey
d)
Normie
55.
What did Frosty do when they placed the hat on his head?
a)
He melted
b)
He danced around
c)
He flew
d)
He became a human
56.
Who is this?
a)
Chuck the Elf
b)
Friend the Elf
c)
Buddy the Elf
d)
Barry the Elf
57.
Which reindeer's name starts with a "B:"
a)
Bart
b)
Burt
c)
Bodog
d)
Blitzen
58.
What color is the Grinch?
a)
Green
b)
Blue
c)
White
d)
Black
59.
On the seventh day of Christmas, what did my true love give to me according to the song?
a)
Gold rings
b)
Maids a milking
c)
Swans a swimming
d)
Pipers piping
60.
It is a plant and it is a tradition to kiss people under it.
a)
MISTLETOE
b)
HOLLY
c)
FERN
d)
IVY
61.
The vehicle of Santa Claus.
a)
WAGON
b)
CHARIOT
c)
SLEIGH
d)
CART
62.
They are on the fireplace on Christmas Eve.
a)
BAGS
b)
STOCKINGS
c)
PANTS
d)
HATS
63.
It is a sweet with red and white stripes.
a)
JAM
b)
CANDY CANE
c)
JELLY
d)
CRACKER
64.
Animal that pulls Santa's sleigh.
a)
WOLF
b)
GOAT
c)
OX
d)
REINDEER
65.
It is white and falls from the sky in winter.
a)
SNOW
b)
RAIN
c)
WIND
d)
ICE
66.
How many reindeer pull Santa's sleigh?
a)
9
b)
10
c)
8
d)
6
67.
In the story "A Christmas Carol", what was the name of Scrooges business partner?
a)
Bob Cratchet
b)
Feziwhig
c)
Kris Kringle
d)
Jacob Marley
68.
Who wrote How the Grinch Stole Christmas?
a)
Charles Dickens
b)
Dr. Seuss
c)
Dr. Phil
d)
J.K. Rowling
69.
How do you say Merry Christmas in Spanish?
a)
Noel
b)
Feliz Navidad
c)
Buenos Dias 
d)
Hola
70.
Who said "Bah Humbug"?
a)
Bob Cratchet
b)
Dr. Seuss
c)
The Grinch
d)
Ebenezer Scrooge
71.
What is the name of the town where the Grinch stole Christmas?
a)
Ashville
b)
Centerville
c)
Who Ville
d)
Nashville
72.
What is the name of the Grinch's dog?
a)
Pete
b)
Sam
c)
Fido
d)
Max
73.
What did Frosty have for a nose?
a)
Carrot
b)
stick
c)
button
d)
coal
74.
In the movie "The Polar Express" what is the first gift of Christmas?
a)
A magic ring
b)
A bell from Santa's sleigh
c)
A sled
d)
A puppy
75.
If you received all of the gifts listed in "The Twelve Days of Christmas" song, how many presents would you get?
a)
12
b)
500
c)
364
d)
144
76.
What are the three words that best describe the Grinch?
a)
Rotten, Awful, Mean
b)
Stinky, Green, Thief
c)
Grouch, Grump, Grinch
d)
Stink, Stank, Stunk
77.
What traditional Christmas carol does the entire Peanuts gang hum, and then eventually sing at the end of A Charlie Brown Christmas?
a)
Angels We Have Heard on High
b)
Joy to the World
c)
Hark the Herald Angels Sing
d)
Away in a Manger
78.
What career does Hermey the elf want ?
a)
Dentist
b)
Toymaker
c)
Musician
d)
Doctor
79.
Multiply
a)
5 / 18
b)
16 / 15
c)
28 / 9
d)
4 / 9
80.
Multiply.
a)
3 1/10
b)
85/20
c)
4 5/20
d)
4 1/4
81.
a)
187/48
b)
22/25
c)
44/51
d)
88/102
82.
What is the second step when dividing mixed numbers?
a)
Cry because it is so difficult!
b)
Keep change flip
c)
simplify
83.
Laney bought  1 2⁄3 pounds of grapes.  She also bought bananas that were 2 1⁄4 times the weight of the grapes.  How much did the bananas weigh?
a)
4 3⁄4 pounds
b)
3 3⁄4 pounds
c)
4 4⁄3 pounds
d)
3 4⁄3 pounds
84.
8/21 + (-5/21) =
a)
13/21
b)
-3/21
c)
-13/21
d)
3/21
85.
7/8 - (-2/5)
a)
9/40
b)
51/40
c)
5/40
d)
5/3
86.
a)
-1   67/93
b)
1     67/93
c)
-16    8/15
d)
16     8/15
87.

a)

0

b)

4

c)

5

d)

1

88.

An ant can travel at a constant speed of 780 inches every 5 minutes. How far can the ant travel in 9 minutes?

(a)  

89.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
90.

There are 22 dogs, 30 cats, and 12 lizards. What is the ratio to dogs and lizards in simplest form?

a)

11 to 6

b)

15 to 6

c)

11 to 15

d)

6 to 15

91.
Livy went into the local Dollar Store because they have so many deals!! The following deal that she was debating is 4 bars of soap that cost $5. What would 8 bars cost her?
a)
$10
b)
$11
c)
$12
d)
$13
92.
Mike bought 3 tickets to a concert for $75.
How much will 5 tickets cost for the concert Mike is attending?
a)
$75
b)
$100
c)
$125
d)
$150
93.
During the basketball season, Evan made 2 out of every 3 free throws he attempted. In the last basketball game, Evan attempted 12 free throws. How many free throws would he have been expected to make?
a)
2
b)
8
c)
24
d)
36
94.
You go into Target to buy some Crayola Markers. This is what you noticed about the prices: 
What is the price of 7 packages of Crayola Markers?
a)
$12.00
b)
$16.00
c)
$20.00
d)
$28.00
95.
An eight pack of juice boxes costs $4.79, and a 12 pack of juice boxes cost $6.59. Use this information to calculate the better buy.
a)
8 pack
b)
12 pack
96.
88 students for 4 classes
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
97.
4%
a)
.04
b)
.4
c)
4.0
d)
400.
98.
Write 11/25 as a percent
a)
11%
b)
44%
c)
22%
d)
55%
99.
Convert 36% to a decimal. 
a)
3600
b)
36
c)
.36
100.

Change to a percent

0.039

a)

39%

b)

3.9%

c)

.00039%

d)

.039%

101.

Convert to a decimal

2/11

a)

0.1818...

b)

.2111...

c)

.1919...

d)

.18

102.

Change to a Percent

1.07

a)

1.07%

b)

.00107%

c)

107%

d)

10.7%

103.

Change to a fraction

38%

a)

19/500

b)

20/100

c)

38/100

d)

19/50

104.

Convert to a percent

2.54

a)

2.54%

b)

2540%

c)

0.254%

d)

254%

105.
The city council voted on a new tax. The council has 20 members and 20% of the council members voted in favor of the new tax. How many members voted in favor of the tax?
a)
16 council members 
b)
4 council members 
c)
20% of the members 
d)
100
106.
A test has 20 questions. If Peter gets 80% correct, how many questions did Peter get correct?
a)
4 correct
b)
16 correct
c)
4%
d)
25 correct
107.
Jennifer made a fruit juice using red and green grapes. Thirty percent of the grapes are red. If she used a total of 60 grapes, how many red grapes should she use?
a)
18 green grapes 
b)
50% of the grapes 
c)
18 red grapes
d)
50 red grapes
108.

Adrien and his family are enjoying a vacation in the wild west. One place they really want to visit is the Grand Canyon. The total distance they will drive is 400 miles. If they have already driven 280 miles, what percent have they driven? Use a tape diagram to solve.

a)

68%

b)

30%

c)

70%

d)

43%