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Worksheets

Factoring

Total questions: 76

Worksheet time: 2hrs 8mins

Name
Class
Date
1.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

2.
Factor out the GCF:
12x + 6
a)
6(2x + 1)
b)
3(4x + 2)
c)
6x(2x + 1)
d)
2(6x + 3)
3.

Which is a common factor of 12x and 27?

a)

x

b)

12

c)

3

d)

9

4.

Factor using GCF or monomial factoring:

2x + 18

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

5.

Factor using GCF or monomial factoring:

x2 - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x2(1 - 5)

6.

WHAT IS THE FACTOR OF 9X+45?

a)

9X

b)

9X(1+ 5)

c)

9(X+5)

d)

9(X+45)

7.

Factor using GCF or monomial factoring:

2x + 18

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

8.
Find the greatest common factor of 32 and 48
a)
2
b)
8
c)
16
d)
18
9.

Factor 7x + 21 using the GCF

a)

7(x+3)

b)

7x + 3

c)

3(x + 7)

d)

x(7 + 3)

10.

Factor 18x + 30 using the GCF

a)

2(9x + 15)

b)

3 ( 6x + 10)

c)

9 ( 2x + 3)

d)

6 ( 3x + 5)

11.

Factor 12x - 40 using the GCF

a)

2 (6x -20)

b)

4 (3x + 10)

c)

4 (3x - 10)

d)

2 (6x + 20)

12.

Factor 17x - 51 using the GCF

a)

3 ( 6x -17)

b)

17 (x -3)

c)

17 (x + 3)

d)

-3 (-6x + 17)

13.

Can 5x + 33 be factored

a)

yes

b)

no

14.

Factoring is the opposite of which property

a)

associative

b)

additive inverse

c)

distributive

d)

commutative

15.

What is the GCF of 18xy and 12x

a)

3

b)

3x

c)

6x

d)

2x

16.

What is the GCF of 28ab and 42b

a)

4b

b)

6b

c)

7b

d)

14b

17.

What is the GCF? 5x2 + 20x

a)

5

b)

x

c)

5x

d)

20x

18.

Factor by GCF:

17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

Prime

19.
Factor using the GCF method
10x + 15
a)
100x + 150
b)
10(x + 5)
c)
1(10x + 15)
d)
5(2x + 3)
20.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

21.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

22.

Factor completely: 6x + -3

a)

3(2x + -1)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

23.

Write in standard form: -3(2p - 3q)

a)

-6p + 9q

b)

-6p - 9q

c)

6p - 9q

d)

5p +9q

24.

Write in standard form: -5 + 2(1 + 3x)

a)

7 + 3x

b)

-3 -15x

c)

-3 + 6x

d)

7 - 3x

25.

Factor completely: -3 + 6x

a)

-3 (1 + 2x)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

26.

Factor completely: 16 + 24x

a)

8 ( 2 + 3x)

b)

4 ( 4 + 7x)

c)

8 ( 2 - 3x)

d)

6 ( 4x + 3)

27.
Simplify by distributing:
3(-6x-3)
a)
18x+9
b)
-18x-9
c)
12x+6
d)
18x-9
28.
Factor: 
17xy - x
a)
17(xy - x)
b)
y(17x - x)
c)
x(17y - 1)
d)
Can't be factored
29.
Factor:  
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
30.
Factor:  
7x + 48y
a)
7(x + 7y)
b)
7(x + y)
c)
can't be factored
d)
7(x + 48y)
31.
Ms. Carmean simplified the expression 3(2x-4) to 6x-4. Is she correct? 
a)
Yes
b)
No
32.
True or False?
2x + 6 = 2(x + 3)
a)
True
b)
False
33.
Factor Completely:
24+16q
a)
4(7+4q)
b)
8(3+2q)
c)
4(6q+2)
d)
24(24-16q)
34.
Factor:  
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
35.

The coefficients of -9y2+4-2y+5y2 are:

a)

-9, -2 and 5

b)

-9

c)

4 and 2

d)

9, 2 and -5

36.

The constants of -9y2+4-2y+5y2 are:

a)

-2

b)

-9

c)

5

d)

4

37.

The like terms of -9y2+4-2y+5y2 are:

a)

4 and -2

b)

-9y2 and 5y2

c)

-9y2 , -2y , 4 and 5y2

d)

-9y2 , -2y and 5y2

38.

All of the terms of -9y2+4-2y+5y2 are:

a)

-9y2 5y2

b)

1, 2y, 3x2, 4

c)

-9y2 4 -2y 5y2

d)

-2y 5y2

39.

Factoring is the opposite of distributing.

a)

True

b)

False

40.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

41.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

42.

Factor completely: 6x + -3

a)

3(2x + -1)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

43.

Factor completely: 16 + 24x

a)

8 ( 2 + 3x)

b)

4 ( 4 + 7x)

c)

8 ( 2 - 3x)

d)

6 ( 4x + 3)

44.

Factor Completely:

-9u + (- 81)

a)

9(u + 9)

b)

-9(u - 9)

c)

-9(u + 9)

d)

-90u

45.
Factor:
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
46.

Factor:

7x + 49

a)

7(x + 7)

b)

56x

c)

can't be factored

d)

7(x + 49)

47.

Factor Completely:

12 - 4b

a)

4(b - 12)

b)

4(3 - b)

c)

-4(b + 2)

d)

12(1 - b)

48.

Factor Completely:

10 + 15p

a)

5(3+p)

b)

5(2+3n)

c)

5(2+3p)

d)

25p

49.

Factor:

4x + 30

a)

2(2x + 30)

b)

4(x + 15)

c)

2(2x + 15)

d)

can't be factored

50.

when is halloween ?

a)

june 20th

b)

october 31st

c)

october 30th

51.

what do kids say when they walk up to a door ?

a)

"trick or treat"

b)

"can i get candy

c)

happy haloween

52.
When did Halloween start?
a)
20,000 years ago
b)
2000 years ago
c)
200 years ago
53.
What was  the original name for Halloween?
a)
All Hogwarts eve
b)
All Saints eve
c)
All Hallows eve
54.

The symbol of Hallowen is ..,,

a)

pear

b)

Peach

c)

pumpkin

d)

Strawberry

55.

How much are consumers estimated to spend on Halloween this year?

a)

6 Billion

b)

9 Billion

c)

4 Billion

56.

What is the most popular kids costumer

a)

Shrek

b)

Little Mermaid

c)

Spiderman

57.

What is the favorite candy for Halloween?

a)

Reese's

b)

M&Ms

c)

Snickers

58.

What Halloween activity has existed since medieval times?

a)

Pumpkin carving

b)

Trick or treating

c)

Eating candy

59.

Halloween is the _____ largest commercial holiday

a)

2nd

b)

4th

c)

3rd

60.

What is the per capita consumption of pumpkins in the US

a)

2.2 pounds

b)

4.1 pounds

c)

6.1 pounds

61.

What % of Americans participate in Halloween

a)

45

b)

57

c)

68

62.

How heavy is the average pumpkin?

a)

2 pounds

b)

45 pounds

c)

13 pounds

d)

100 pounds

63.

The heaviest pumpkin on record is

a)

1,000 pounds

b)

540 pounds

c)

123 pounds

d)

2,378 pounds

64.

How many pounds of pumpkin are sold in the US every year?

a)

1,000 pounds

b)

1 million pounds

c)

1 billion pounds

d)

10,000 pounds

65.

Pumpkins can be

a)

orange only

b)

orange and white

c)

orange, white, or green

d)

orange, white, green, or red

66.

The number one Halloween candy is

a)

Skittles

b)

candy corn

c)

M & Ms

d)

Hershey chocolate mini bars

67.

An old Halloween activity was

a)

making popcorn balls

b)

bobbing for apples

c)

wrapping people up in toilet paper

d)

wearing orange and black the week of Halloween

68.

The first Jack-O-Lanterns were made with

a)

turnips

b)

potatoes

c)

pumpkin

d)

pineapple

69.

"Hallow" means

a)

sweet

b)

candy

c)

empty

d)

holy

70.

The word "Halloween" means

a)

Night of fright

b)

Tiny Pumpkins

c)

All Hallow's Eve

d)

Scary monsters

71.

The most popular costume for 2018 is

a)

Princess

b)

Fortnite

c)

Dragon

d)

Ghost

72.

Halloween is on

a)

October 31st

b)

October 30th

c)

The last Friday of the month

d)

October 15th

73.

When leaves turn colors in the fall, they are turning into

a)

their true color

b)

fuel

c)

food for animals

d)

seeds

74.

Which is NOT something most people do with pumpkin?

a)

carve it

b)

paint it

c)

go bowling with it

d)

make different foods with it

75.

What is the most popular dish make with pumpkin?

a)

pumpkin muffins

b)

pumpkin soup

c)

pumpkin bread

d)

pumpkin pie

76.

The character "Dracula" is from

a)

Transylvania

b)

Pennsylvania

c)

England

d)

New York