wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Distributive & Random 2023

Total questions: 105

Worksheet time: 2hrs 56mins

Name
Class
Date
1.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
2.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
3.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
4.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
5.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
6.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
7.
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
8.
5(2x-11)
a)
-10x-55
b)
10x-55
c)
55-10x
d)
10x+55
9.
4(f+3)-3f
a)
f+3
b)
f+12
c)
8f+12
d)
7f+3
10.

8+3(y-2)

a)

24y-6

b)

3y - 6

c)

3y+2

d)

24y-2

11.
6+2(y-4)
a)
2y-2
b)
2y+2
c)
2y+14
d)
2y-14
12.
⅔(¼x - 6)
a)
⅙x - 4
b)
¾x - 2
13.
-7(w - 4) + 3w - 27
a)
4w + 15
b)
-4w + 1
14.
½(8x + 2)
a)
4x + 2
b)
4x + 1
c)
16x + 4
d)
16x - 4
15.
6(x + 1) - 5(x + 2)
a)
2x + 8
b)
x - 4
16.
-5(k + 6) + 7(k - 4)
a)
2k - 58
b)
2k - 24
17.
8(x + 5) - 4(x + 4)
a)
4x + 24
b)
4x + 16
18.
-9(m + 2) + 4(6 - 7m)
a)
-37m + 6
b)
-16m + 20
19.
-3(-9v - 4) - 2(v - 2)
a)
29v - 10
b)
25v + 16
20.
-4(8 - c) - (3c + 7)
a)
c + 24
b)
c - 39
21.
6(p + 6) - (p - 6)
a)
5p + 42
b)
9p + 36
22.
21 - 8(w + 3) + 3 + 7w
a)
-w + 7
b)
-w
23.
Which of the following is equivalent to 5(a + 6)?
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
24.

(x + 10) (-2)

a)

-2x + 20

b)

-2x - 20

c)

2x - 20

d)

2x + 20

25.

-10 (-3x - 5y)

a)

30x - 50y

b)

-30x - 50y

c)

80xy

d)

30x + 50y

26.

(b - 7) (-7)

a)

-7b + 49

b)

7b - 49

c)

b - 14

d)

-7b - 14

27.

12(t+8)\frac{1}{2}(t+8)  

a)

1t2t+82\frac{1t}{2t}+\frac{8}{2}  

b)

12t+8\frac{1}{2}t+8  

c)

12t+4\frac{1}{2}t+4  

d)

12t+816\frac{1}{2}t+\frac{8}{16}  

28.

13(y  9)-\frac{1}{3}\left(y\ -\ 9\right)  

a)

13y+3\frac{1}{3}y+3  

b)

13y+3-\frac{1}{3}y+3  

c)

13y3-\frac{1}{3}y-3  

d)

13y+9-\frac{1}{3}y+9  

29.

-(3v - 8) is the same as:

a)

-1(3v + 8)

b)

-1(-3v - 8)

c)

-1(3v - 8)

d)

1(3v - 8)

30.
Which of the following is equivalent to    3h +7(2 + 4h)?
a)
90h
b)
7h + 20
c)
50h
d)
31h +14
31.
a)
7x2+3x+5
b)
9x2+4x+5
c)
4x +9x2+5
d)
9x2+3x+5
32.
a)
2x2-2y-2
b)
-3x2-2y-2
c)
-2x2-4y-2
d)
-2x2-2y+2
33.

Simplify by combining like terms:

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

34.

4(f+3) - 3f

a)

f+3

b)

f+12

c)

8f+12

d)

7f+3

35.

8 + 3(y-2)

a)

24y-6

b)

8+3y-6

c)

3y+2

d)

24y-2

36.

6 + 2(y-4)

a)

2y-2

b)

2y+2

c)

2y+14

d)

2y-14

37.
Simplify:
4(8x + 1) - 6(1 - 8x)
a)
-80x - 2
b)
80x + 2
c)
-80x + 2
d)
80x - 2
38.
-4(2a + 7) + 3a + 18
a)
-5a - 10
b)
11a + 46
c)
5a + 46
d)
11a - 10
39.

-4(8 - c) - (3c + 7)

a)

c + 24

b)

c - 39

c)

-2c - 39

d)

c - 39

40.

-9(m + 2) + 4(6 - 7m)

a)

-37m + 6

b)

-16m + 20

c)

-19m + 6

d)

18m + 12

41.
-3(-9v - 4) - 2(v - 2)
a)
29v - 10
b)
25v + 16
42.

(b - 7)(-7)

a)

-7b + 49

b)

7b - 49

c)

b - 14

d)

-7b - 14

43.

13(y  9)-\frac{1}{3}\left(y\ -\ 9\right)  

a)

13y+3\frac{1}{3}y+3  

b)

13y+3-\frac{1}{3}y+3  

c)

13y3-\frac{1}{3}y-3  

d)

13y+9-\frac{1}{3}y+9  

44.

-(3v - 8) is the same as:

a)

-1(3v + 8)

b)

-1(-3v - 8)

c)

-1(3v - 8)

d)

1(3v - 8)

45.
Which of the following is equivalent to    3h +7(2 + 4h)?
a)
90h
b)
7h + 20
c)
50h
d)
31h +14
46.
-5(a - 6) + 2a
a)
-7a + 30
b)
-7a - 30
c)
-3a + 30
d)
-3a - 30
47.
a)
-30x+15
b)
30x-15
c)
30x+15
d)
-30x+15
48.

– 9r3 + 2r – 5r3 + 3 – 20r

a)

-4r3 - 18r + 3

b)

-14r3 - 18r + 3

c)

-14r3 + 18r + 3

d)

-32r3

49.
a)
6x-1
b)
10x+7
c)
6x+1
d)
8x+1
50.
What is Frosty the Snowman's nose made out of?
a)
A stick
b)
A carrot
c)
Coal
d)
A button
51.
Which reindeer starts with a "B"
a)
Barry
b)
Blitzen
c)
Bulldog
d)
Bob
52.
In the early 1800's, the gingerbread house was inspired by what fairy tale?
a)
Goldy Locks
b)
Hansel and Gretel
c)
The Princess and the Gumdrop
d)
The Nutcracker
53.
What beverage company has been using Santa Claus in its advertising since 1931?
a)
Coca-Cola
b)
Pepsi
c)
Dr. Pepper
d)
Sprite
54.
According to the folklore of Austria and other countries, what horned figure punishes naughty children at Christmastime?
a)
Father Christmas
b)
Ebenezer Scrooge
c)
Krampus
d)
Santa Claus
55.
What well-known Christmas carol became the first song ever broadcast from space in 1965?
a)
Jingle Bells
b)
All I Want for Christmas is You
c)
Santa is Coming to Town
d)
Silent Night
56.
In the movie Home Alone, where does the family go for Christmas when they leave Kevin at home?
a)
New York City
b)
Florida
c)
Venice
d)
Paris
57.
In the song The Twelve Days of Christmas, how many pipers are there?
a)
Two
b)
Eleven
c)
Eight
d)
Five
58.
What is the name of Grinch's dog?
a)
Pete
b)
Sam
c)
Max
d)
Bud
59.
What country does the poinsettia plant originate from?
a)
Poland
b)
United States
c)
Mexico
d)
Germany
60.
Elves are known to wear ___ on the tips of their shoes.
a)
pom poms
b)
bells
c)
marshmallows
d)
snowballs
61.
What color are the berries on mistletoe?
a)
red
b)
yellow
c)
blue
d)
green
62.
How many points does a traditional snowflake have?
a)
2
b)
4
c)
6
d)
8
63.
Which was not one of the original reindeer?
a)
Blitzen
b)
Dasher
c)
Donald
d)
Dancer
64.
Which country created eggnog?
a)
Mexico
b)
America
c)
Italy
d)
England
65.
In "Frosty the Snowman", what made him come to life?
a)
broom
b)
scarf
c)
hat
d)
carrot
66.

-g - g - g - g

a)

-4g

b)

-3g

c)

-2g

d)

-g

67.

p - p - p

a)

-3p

b)

-2p

c)

-p

d)

3p

68.

3x - 7xy - 8y + xy - 5y - x

a)

11xy - 2x + 4y

b)

-8xy + 4x - 2y

c)

-6xy + 2x - 13y

d)

5xy - 8x + 2y

69.
Who is this?
a)
Muhammad Ali
b)
Wilt Chamberlain
c)
Nelson Mandela 
d)
Arthur Ashe
70.
Who is this?
a)
Rachael Ray
b)
Amy Adams
c)
Oprah Winfrey 
d)
Ellen DeGeneres 
71.

Name this company?

a)

lay's

b)

pringels

c)

walkers

d)

yellow

72.

which company is pringles?

a)
b)
c)
d)
73.

Name this company?

a)

bee

b)

beats

c)

bitcoin

d)

bosch

74.

which logo is for is dropbox?

a)
b)
c)
d)
75.

Name this logo?

a)

ascap

b)

wolf

c)

target

d)

coyotes

76.

Name this logo?

a)

eight

b)

drupal

c)

fiver

d)

facebook

77.

Name this logo?

a)

twitter

b)

facebook

c)

youtube

d)

instagram

78.

which logo is for shell company?

a)
b)
c)
d)
79.

name this company?

a)

playstation

b)

marvel

c)

pantone

d)

polaroid

80.

name this logo?

a)

fly

b)

twitter

c)

bird

d)

skype

81.
Match the logo
a)
Minnesota Twins
b)
Milwaukee Brewers
c)
Kansas City Royals
d)
Miami Marlins
82.
Match the logo
a)
Vancouver Canucks
b)
Seattle Seals
c)
Miami Dolphins
d)
Nashville Predators
83.
Match the logo
a)
Dallas Stars
b)
Minnesota North Stars
c)
Dallas Cowboys
d)
Minnesota Wild
84.
Match the logo
a)
Colorado St. Rams
b)
Colorado Buffaloes
c)
St. Louis Rams
d)
St. Louis Cards
85.
Match the logo
a)
Arizona Cardinals
b)
Standford Cardinal
c)
Cincinnati Reds
d)
St. Louis Cardinals
86.
Match the logo
a)
Cincinnati Reds
b)
Indianapolis Colts
c)
Cleveland Indians
d)
Chicago Bears
87.
Match the logo
a)
New England Patriots
b)
Montreal Canadiens
c)
Ottawa Senators
d)
Toronto Maple Leafs
88.
Match the logo
a)
Chicago Bears
b)
Detroit Lions
c)
Green Bay Packers
d)
Minnesota Wild
89.
Match the logo
a)
New York Yankees
b)
New York Metropolitans
c)
New York Knicks
d)
New York Islanders
90.
Match the logo
a)
Green Bay Packers
b)
Graceland Elvisses
c)
Green Bay Brewers
d)
Great Plains Coyotes
91.
Match the logo
a)
Carolina Panthers
b)
Kentucky Wildcats
c)
Florida Panthers
d)
Detroit Lions
92.
Match the logo
a)
Cleveland Indians
b)
Atlanta Braves
c)
Florida State Seminoles
d)
Chicago Blackhawks
93.
Match the logo
a)
Cinninati Reds
b)
Cleveland Cavaliers
c)
Carolina Panthers
d)
Chicago Bulls
94.
Match the logo
a)
Colorado Buffaloes
b)
Boise State Stallions
c)
Colorado State Rams
d)
Buffalo Sabres
95.
Match the logo
a)
Boston Red Stockings
b)
Boston Red Boots
c)
Boston Red Sox
d)
Boston Red Footies
96.
Match the logo
a)
Carolina Huricanes
b)
Miami Heat
c)
Minnesota Timberwolves
d)
Portland Trailblazers
97.
Match the logo
a)
Detroit Red Wings
b)
Detroit Panthers
c)
Detroit Pistons
d)
Anaheim Angels
98.

Who is that Pokemon?

a)

Pokemon

b)

Eevee

c)

Tytenn

d)

Blaziken

99.

Who's that Pokemon?

a)

Rapidash

b)

Brocka

c)

Ponyta

d)

Chicken Nugget on Fire in China

100.

What is this from

a)

Naruto

b)

I don't even know :0

c)

One Punch

d)

Dragon Ball Z

101.

Who is this

a)

Lucy

b)

Gohan

c)

Luffy

d)

Ash

102.

Who is this?

a)

Goku

b)

Naruto

c)

Jotaro Kujo

d)

Ken Kaneki

103.
This type of cloud is thin, wispy, and made of ice crystals
a)
cumulus cloud
b)
stratus cloud
c)
cirrus cloud
d)
cumulonimbus cloud
104.

Which term best describes water vapor?

a)

Solid

b)

Liquid

c)

Gas

105.
What type of cloud is this?
a)
cirrus
b)
cumulus
c)
stratus
d)
fog