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Worksheets

Distributive Property

Total questions: 65

Worksheet time: 2hrs 59mins

Name
Class
Date
1.
.
a)
A
b)
B
c)
C
d)
D
2.

Rewrite using the Distributive Property: 6(3 + 6)

a)

(6x3) + 6

b)

63

c)

(6x3) + (6x6)

d)

18 + 36

3.

Fill in the missing addend in each box that makes the equation true.

3(_ + 8)= 15 + 24

(a)  

4.

Rewrite using the Distributive Property: 14(10 + 7)

a)

(14+10) x (14+7)

b)

(14x10) + (14x7)

c)

(14x10) + 7

d)

140 + 98

5.

Rewrite using the Distributive Property: 5(20 x 10)

a)

(5x20) + (5+10)

b)

(100) + (50)

c)

100 + (5x10)

d)

(5x20) + (5x10)

6.

Fill in the missing addend in each box that makes the equation true.

9(5+ (a)   )= 45 + 18

7.

Rewrite using the Distributive Property: 11(4+16)

(a)  

8.
Which of the following expressions represents the total area of the rectangle?
a)
5(2 + 3)
b)
3(2 + 5)
c)
2(3 + 5)
d)
2(3) + 3(5)
9.
Which of the following expressions represents the total area of the rectangle?
a)
10 + 6
b)
5(3 + 2)
c)
2(5 + 3)
d)
3(5 + 2)
10.
Represent using the Distributive Property:
2 x 43
a)
(2 x 40) + (2 x 3)
b)
(2 x 90) + (2 x 4)
c)
(8 x 20) + (8 x 4)
d)
(8 x 40) + (8 x 9)
11.
Represent using the Distributive Property:
8 x 24
a)
(2 x 40) + (2 x 3)
b)
(2 x 90) + (2 x 4)
c)
(8 x 20) + (8 x 4)
d)
(8 x 40) + (8 x 9)
12.

Find the missing factor:


6 x 18= (6 x _?_) + (6 x 10)

a)

3

b)

8

c)

11

d)

14

13.

Find the missing factor:


17 x 8= (7 x 8) + (_?_ x 8)

a)

3

b)

8

c)

10

d)

14

14.

Rewrite using the Distributive Property: 15(9 + 2)

a)

(15x9) + (15x2)

b)

(15+9) x (15+2)

c)

(15x9) x (15x2)

d)

(15x9) + (15+2)

15.

Rewrite using the Distributive Property: 12(3 + 15)

a)

(12+3) + (12x15)

b)

(12x3) x (12x15)

c)

(12x3) + (12x15)

d)

36 + 180

16.
Which expression is used to find the total area of the figure shown? 
a)
9 (10 + 7) 
b)
9 x 10 + 7 
c)
(10 x 7) x 9
d)
9 x 10 x 7 
17.
8(3 + 4) =
a)
24 + 32
b)
11 + 12
c)
123 + 124
d)
5 + 4
18.
Simplify   6(x + -2)
a)
6x + -2
b)
6x + -12
c)
4x
d)
6x - 2
19.
Simplify   2(3x + 5)
a)
6x + 10
b)
23x + 5
c)
6x + 5
d)
11x
20.
Simplify    5(2 - 7n)
a)
52 - 7n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
21.
Simplify    100( -3x + -2)
a)
-103x + -200
b)
97x + -200
c)
300x + -200
d)
-300x - 200
22.
Simplify the expression: -5(x + 4)
a)
5x + 4
b)
-5x + 4
c)
-5x - 20
d)
-5x + 20
23.
Simplify the expression: 3(1 - 2x) + 7
a)
21 - 6x
b)
24 + 6x
c)
10 + 6x
d)
10 - 6x
24.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
25.
Which of the following is equivalent to 9(5c + 4)?
a)
45c + 36
b)
81c
c)
45c + 4
d)
49c
26.
Which of the following is equivalent to 8(5f - 7) + 3f ?
a)
43f - 7
b)
-13f
c)
43f - 56
d)
40f -7 + 3f
27.
Which of the following is equivalent to 9(x - 3)?
a)
9x - 3
b)
9x + 3
c)
36x
d)
9x - 27
28.
Which is an example of the distributive property?
a)
2 + 4 = 4 + 3
b)
(1 + 2) + 3 = 1 + (2 + 3)
c)
4 + 0 = 4
d)
3(b - 4) = 3b - 12
29.

What is the simplified version of this expression? 4(8r+3)-4(8r+3)  

a)

 32r12-32r-12  

b)

 32r1232r-12  

c)

 32r+12-32r+12  

d)

 32r+1232r+12  

30.

-7(g + 8)

a)

-7g + -56

b)

-7g + 42

c)

-7g + 56

d)

-7g - 56

31.

12(w + 1)

a)

12w + 12

b)

-12w + 12

c)

-12w + 12

d)

-12w - 1

32.
Which of the following is equivalent to 12(3y + 2)?
a)
36y - 24
b)
15y - 14
c)
36y + 24
d)
15 y + 14
33.
Which is an example of the distributive property?
a)
2 + 4 = 4 + 3
b)
(1 + 2) + 3 = 1 + (2 + 3)
c)
4 + 0 = 4
d)
3(b - 4) = 3b - 12
34.
A variable is used to represent a number. 
a)
True
b)
False
35.
____________ each part of an algebraic equations separated by a plus, minus or equal sign.
a)
coefficient
b)
term
c)
expression
d)
equation
36.
Which of the following is an example of an equation?
a)
8 + 2x - 4
b)
7k - 2 
c)
y + 2 = 10
d)
y + 2
37.
______ is a term that is not multiplied by a variable.
a)
constant
b)
term
c)
expression
d)
variable
38.
__________ the number being multiplied by a variable.
a)
term
b)
equation
c)
constant
d)
coeffiecient
39.
An equation has an ________ sign and an expression does not.
a)
an addition sign
b)
a subtraction sign
c)
an equal sign 
d)
a division sign
40.
Which of the following is an example of an expression?
a)
9 + w = 19
b)
3z = 27
c)
8 + d
d)
5t + 2 = 20
41.
Which is an example of a variable in the following equation?
9g + 3 = 60
a)
9
b)
g
c)
3
d)
60
42.
________________ contains variables, numbers, and at least one operation.
a)
term
b)
equation
c)
constant
d)
expression
43.
How many terms does this equation have?
5x + 4 = 24
a)
2
b)
1
c)
4
d)
3
44.
Name the coefficient in the following equation.
8 = 2y + 3
a)
y
b)
2
c)
3
d)
8
45.
What is the constant in the following expression?
9 + 3w
a)
1
b)
9
c)
3
d)
w
46.
What is the coefficient in the following equation:
k - 8 = 10
a)
8
b)
0
c)
1
d)
10
47.
In the expression 
5x + 7, the x represents the...
a)
Coefficient
b)
Variable
c)
Term
d)
Expression
48.
Which expression has 1 term?
a)
12 - 5t +7
b)
6 + 3t
c)
4rz
d)
5 + a
49.
What are the constants in the following expression: 8y + 92 = 120
a)
92 AND 120
b)
92
c)
120
d)
8
50.

The strongest muscle in the body is

a)

arm

b)

leg

c)

eye

d)

tongue

51.

Which animal has a brain smaller than their own eye?

a)

ostrich

b)

cow

c)

eagle

d)

squid

52.

A ______ can clean its ears with its tongue.

a)

monkey

b)

giraffe

c)

llama

d)

fox

53.
What is an infant whale commonly called?
a)
pup
b)
Orca
c)
baby whale
d)
calf
54.
What is the name of animals that eat only plants?
a)
omnivore
b)
herbivore
c)
carnivore
55.
What social media logo is this?
a)
Snapchat
b)
Flickr
c)
Yahoo
d)
Yik Yak
56.

What movie is this?

a)

A Bug's Life

b)

Lion King

c)

Tarzan

d)

Jungle Book

57.

What is the name of this little brother?

a)

John

b)

Jack

c)

John John

d)

Jack Jack

58.

What movie is this?

a)

Princess and the Frog

b)

Tangled

c)

Rapunzel

d)

Enchanted

59.

What was the first Pixar movie ever created?

a)

A Bug's Life

b)

Toy Story

c)

Lion King

d)

Monsters, Inc.

60.

What is the name of this character from Monsters, Inc.?

a)

Sully

b)

Boo

c)

Mike

d)

Randal

61.

In Finding Nemo, he gets lost and ends up in a lot of places! His temporary owner, Darla brings him where?

a)

Park

b)

Doctors office

c)

Dentist office

d)

School

62.

What movie is this character in?

a)

Snow White

b)

Beauty and the Beast

c)

101 Dalmations

d)

Cinderella

63.

What is the most watched Pixar movie?

a)

Toy Story

b)

Toy Story 2

c)

Finding Nemo

d)

Inside Out

64.

What film Franchise is Hagrid in?

a)

Twilight

b)

Star Wars

c)

Harry Potter

d)

Avengers

65.

Who wrote the Narnia stories?

a)

J K Rowling

b)

J R R Tolkein

c)

C S Lewis

d)

Jane Austen