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Combining Like Terms & The Distributive Property

Total questions: 44

Worksheet time: 58mins

Name
Class
Date
1.

Combine Like Terms:

3x + 5 + 2x - 7

a)

5x + 2

b)

5x - 2

c)

5x + 12

d)

1x - 2

2.

Combine Like Terms:

3a + 4a + 9

a)

7a

b)

16a

c)

7a + 9

d)

1a + 9

3.

Combine Like Terms:

6b + 5 - 2b + 6

a)

4b + 11

b)

8b + 11

c)

4b + 1

d)

8b + 1

4.

Distribute:

2(3x + 4)

a)

3x + 8

b)

6x + 4

c)

6x + 8

d)

6x - 8

5.

Distribute:

-4 (3x - 5)

a)

-12x - 20

b)

-12x + 20

c)

-12x - 5

d)

-12x + 5

6.

Distribute and then Combine Like Terms:

2(5x + 6) + 7

a)

10x + 12

b)

10x + 7

c)

10x + 19

d)

5x + 19

7.

Distribute and then Combine Like Terms:

-3(4x + 2) + 5x

a)

-12x - 6

b)

-7x - 6

c)

-12x + 6

d)

-7x + 2

8.

Distribute:

7(3x - 4)

a)

21x - 28

b)

21x - 4

c)

21x + 28

d)

21x + 4

9.

Distribute and then Combine Like Terms:

2(4x + 7) + 3x

a)

8x + 14

b)

8x + 7

c)

11x + 7

d)

11x + 14

10.

Distribute and then Combine Like Terms:

5(2x - 3) + 12

a)

10x - 15

b)

10x + 9

c)

10x - 3

d)

10x + 3

11.

Distribute:

5(-3x - 8)

a)

-15x - 8

b)

-15x + 8

c)

-15x + 40

d)

-15x - 40

12.

Distribute:

-2(x + 7)

a)

-2x - 14

b)

-2x + 14

c)

-2x + 7

d)

-2x - 7

13.

Combine Like Terms:

-6c + 2c - 4 + 8

a)

-4c + 4

b)

-4c - 4

c)

8c + 12

d)

4c + 4

14.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
15.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
16.
Simplify the expression:
6 + 2(7x - 3) 
a)
12 + 7x
b)
14x
c)
8x + 6
d)
9 + 7x
17.
Simplify the expression: 3(1 - 2x) + 7
a)
21 - 6x
b)
24 + 6x
c)
10 + 6x
d)
10 - 6x
18.
Use the distributive property to simply the expressions below:
4(r + 4) - r
a)
4r + 16 - r
b)
4r + 4
c)
4r + 16r
d)
3r + 16
19.
Use the distributive property to simply the expressions below:
4x + 2(x + 1)
a)
6x + 2
b)
4x + 2x + 2
c)
6x + 1
d)
8x + 2x + 2
20.
Simplify
4(8x + 1) - 6(1 - 8x)
a)
-80x - 2
b)
80x + 2
c)
-80x + 2
d)
80x - 2
21.
Simplify
-2x - 4(4x - 8)
a)
-16x - 2
b)
-18x + 32
c)
18x - 32
d)
-16x + 2
22.
4(p - 6)
a)
-4p - 24
b)
4p + 24
c)
4p + 24
d)
4p - 24
23.
What are the four main food groups of elves?
a)
candy corn, gum, chocolate, and Twix bars
b)
candy, candy corn, candy canes, and syrup
c)
candy, cookies, coffee, and cake
d)
candy, sugar, candy canes, and gum
24.
On their date, Buddy and Jovie go and look at
a)
store windows
b)
santas
c)
ice skating rinks
d)
Christmas trees
25.
Buddy calls this man an angry, South Pole elf
a)
Papa Elf
b)
Smurf
c)
Jem Finch
d)
Miles Finch
26.
What is the news station covering the sleigh crash story called?
a)
NYC 3
b)
Fox News 8
c)
New York 1
d)
CNN
27.
What is not a book idea suggested at Walter Hobbs' office?
a)
peach
b)
tomato
c)
carrots
d)
asparagus
28.
What song does everyone sing that makes Santa's sleigh fly?
a)
Jingle Bells
b)
Holly Jolly Christmas
c)
Santa Claus is Coming to Town
d)
Rockin' Around the Christmas Tree
29.
What song do Jovie and Buddy sing in the Gimbel's locker room?
a)
Silent Night
b)
Baby It's Cold Outside
c)
We Three Kings
d)
We Wish You a Merry Christmas
30.
The best way to spread Christmas cheer is...
a)
yelling Merry Christmas to strangers
b)
making gingerbread houses
c)
singing loud for all to hear
d)
decking the halls with boughs of holly
31.
Who says, "Bye Buddy, I hope you find your dad."
a)
Mr. Narwal
b)
Arctic Puffin
c)
Frosty
d)
Santa
32.
What is not something Buddy eats in the movie?
a)
spaghetti
b)
cotton balls
c)
cake
d)
syrup
33.
What toy is Buddy making when he calls himself a "cotton-headed ninny muggins"?
a)
Mr. Potato Head
b)
Jack in the Box
c)
A Suzy Talks a Lot
d)
Etch a Sketch
34.
What is not a job elves can do?
a)
build toys in Santa's woodshop
b)
bake cookies in a tree
c)
make shoes as the shoemaker sleeps
d)
plant flowers at night
35.
How does Buddy answer the phone?
a)
"Merry Christmas!"
b)
"Son of a Nutcracker!"
c)
"What would you like for Christmas?"
d)
"Buddy the Elf, what's your favorite color?"
36.
What is Buddy's favorite thing to do?
a)
decorate Christmas trees
b)
build toys
c)
smile
d)
eat things with syrup
37.
Simplify:
3(9 + 2d) + 4d 
a)
18d+10d
b)
18d-10d
c)
27+10d
d)
37d
38.
Simplify:
-3(x - 4) + 3(a - 6)
a)
-3x + 3a - 6
b)
-3x + 3a - 30
c)
-9ab - 6
d)
-9ab - 30
39.
Simplify:
-n -5(-6-7n)
a)
34n + 30
b)
35n - 30
c)
35n + 30
d)
-6n - 30
40.

When using distributive property you ____________ the outside value by everything on the inside.

a)

Add

b)

Multiiply

c)

Subtact

d)

Divide

41.

What mistake did Mr. Knapp make when using the distributive property?


3(2x -4) = 6x +12

a)

he made no mistakes

b)

he should add and not multiply

c)

it should be -12

d)

it should be 5x

42.

Can you combine terms that have a different variable or exponent?

a)

No

b)

Yes

43.

Simplify.

1/2(4x-10)

a)

8x-5

b)

2x+5

c)

2x-5

d)

8x-20

44.

What expression is equivalent to -(5r + 7)

a)

-12r

b)

-5r -7

c)

5r - 7

d)

-5r + 7

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