Free Printable factoring

1.

Factor out the GCF:
12x + 6

a)

6(2x + 1)

b)

3(4x + 2)

c)

6x(2x + 1)

d)

2(6x + 3)

2.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

3.

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

4.

Which of these is a factor of 18?

a)

4

b)

5

c)

36

d)

3

5.

Which is not a factor of 20?

a)

4

b)

2

c)

5

d)

40

6.

Which pair of numbers has a GCF of 3?

a)

3 and 18

b)

8 and 24

c)

12 and 18

d)

1 and 3

7.

Which pair of numbers has a GCF of 3?

a)

3 and 18

b)

8 and 24

c)

12 and 18

d)

1 and 3

8.

What is the greatest common factor of 20 and 16?

a)

8

b)

4

c)

2

d)

5

9.

What are the factors for 12?

a)

1, 12

b)

1, 2, 3, 4, 6, 8, 12

c)

1, 2, 3, 4, 6, 12

d)

2, 3, 4, 6

10.

What are the factors for 25?

a)

1, 2, 3, 5, 12, 25

b)

1, 5, 25

c)

5,25

d)

1, 3, 5, 25

11.

Is 23 a prime number?

a)

composite

b)

prime

12.

Which number is not a multiple of 10?

a)

20

b)

35

c)

40

d)

50

13.

Which number is not a multiple of 6?

a)

12

b)

24

c)

37

d)

42

14.

Which number is not a multiple of 10?

a)

20

b)

35

c)

40

d)

50

15.

Which number is not a multiple of 6?

a)

12

b)

24

c)

37

d)

42

16.

Which number is not a multiple of 9?

a)

18

b)

72

c)

13

d)

36

17.

What is the GCF of 3 and 6?

a)

1

b)

2

c)

3

d)

6

18.

List the first (4) multiples of 8

a)

1, 2, 4, 8

b)

8, 16, 24, 32

19.

Find the Least Common Multiple (LCM) of 8 and 12

a)

812

b)

20

c)

96

d)

24

20.

A prime number is...

a)

a number that has only one factor.

b)

a number that has at least two factors.

c)

a number that has more than two factors.

d)

a number that has only two factors.
(1 and itself)

21.

What is the LCM of 4 and 12?

a)

4

b)

8

c)

12

d)

16

22.

When we skip count, we are listing .....

a)

factors

b)

divisors

c)

addition

d)

multiples

23.

When we skip count, we are listing .....

a)

factors

b)

divisors

c)

addition

d)

multiples

24.

Which number is a factor of 6?

a)

12

b)

2

c)

8

25.

Which answer choice lists all the factors for 27?

a)

3, 9

b)

1, 3, 9, 27

c)

1, 3, 6, 9, 12, 27

26.

Which is a factor of 15?

a)

2

b)

3

c)

4

27.

List the factors for 12

a)

1, 2, 3, 4, 6, 12

b)

2, 3, 4, 6

c)

1, 2, 4, 6, 12

28.

These factors are for which number? 1, 3, 5, 15

a)

15

b)

5

c)

3

29.

What are ALL the factors of the number 22?

a)

1,2,11,22

b)

1,2,10

c)

1,22

30.

7 is a factor of 32. True or false?

a)

True

b)

False

31.

Which number is a factor of 18

a)

4

b)

7

c)

6

32.

Which is a NOT a factor of 9?

a)

0

b)

1

c)

3

33.

Which number is a factor of 20?

a)

5

b)

3

c)

6

34.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

35.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

36.

Factor completely: 6x + -3

a)

3(2x + -1)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

37.

Factor completely: 6x + -3

a)

3(2x + -1)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

38.

Factor completely: 16 + 24x

a)

8 ( 2 + 3x)

b)

4 ( 4 + 7x)

c)

8 ( 2 - 3x)

d)

6 ( 4x + 3)

39.

Factor Completely:

-9u - 81

a)

9(u + 9)

b)

-9(u - 9)

c)

-9(u + 9)

d)

-90u

40.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

41.

Factor:

7x + 47

a)

7(x + 7)

b)

7(x + 47)

c)

can't be factored

d)

7(x - 47)

42.

Factor Completely:
12-4b

a)

4(b-12)

b)

4(3-b)

c)

-4(b+2)

43.

Factor Completely:
10 + 15p

a)

5(3+p)

b)

5(2+3n)

c)

5(2+3p)

44.

Factor:

4x + 30

a)

2(2x + 30)

b)

4(x + 15)

c)

2(2x + 15)

d)

can't be factored

45.

Factor:

4x + 30

a)

2(2x + 30)

b)

4(x + 15)

c)

2(2x + 15)

d)

can't be factored

46.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

47.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

48.

Factor completely: 6x + -3

a)

3(2x + -1)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

49.

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

a)

-6p + 9q

b)

-6p - 9q

c)

6p - 9q

d)

5p +9q

50.

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

a)

7 + 3x

b)

-3 -15x

c)

-3 + 6x

d)

7 - 3x

51.

Factor completely: -3 + 6x

a)

-3 (1 + 2x)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

52.

Factor completely: 16 + 24x

a)

8 ( 2 + 3x)

b)

4 ( 4 + 7x)

c)

8 ( 2 - 3x)

d)

6 ( 4x + 3)

53.

Simplify by distributing:
3(-6x-3)

a)

18x+9

b)

-18x-9

c)

12x+6

d)

18x-9

54.

Factor:
17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

Can't be factored

55.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

56.

Factor:
7x + 48y

a)

7(x + 7y)

b)

7(x + y)

c)

can't be factored

d)

7(x + 48y)

57.

Ms. Carmean simplified the expression 3(2x-4) to 6x-4. Is she correct?

a)

Yes

b)

No

58.

True or False?
2x + 6 = 2(x + 3)

a)

True

b)

False

59.

Factor Completely:
24+16q

a)

4(7+4q)

b)

8(3+2q)

c)

4(6q+2)

d)

24(24-16q)

60.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

61.

2x - 8

a)

-2(x+4)

b)

10x

c)

2(x-4)

d)

4x

62.

9x + 12

a)

3(3x +4)

b)

9(x+3)

c)

-3(3x+4)

d)

21x

63.

5x - 25

a)

5x - 25

b)

5(x + 5)

c)

5( x - 5)

d)

20x

64.

Factor Completely:

22-4

a)

22(22-4)

b)

2(11-2)

c)

2(22-4)

65.

4 + 14

a)

2 (4 + 7)

b)

2(2 +7)

c)

28

d)

2 (2 -7)

66.

24 - 36 + 48

a)

-12 (2 + 3 + 4)

b)

12 (2 - 3 + 4)

c)

12 (2 - 36 + 4)

67.

What is a variable?

a)

a letter that represents a number

b)

a number multiplied by a variable

c)

a number that is not multiplied by a variable

68.

What is a constant?

a)

a letter that represents a number

b)

a number multiplied by a variable

c)

a number that is not multiplied by a variable

69.

What is a coefficient?

a)

a letter that represents a number

b)

a number multiplied by a variable

c)

a number that is not multiplied by a variable

70.

Write the expression 7 ∙ m ∙ m ∙ m using exponents.

a)

7+3m

b)

21m

c)

7m²

d)

7m³

71.

Evaluate x²+ 3 when x=6

a)

15

b)

39

c)

9

d)

36

72.

Simply the expression 3x + 6 + 4x + 7 by combining like terms.

a)

7x + 13

b)

9x + 11

c)

12x + 42

73.

Factor the expression 9x + 27 using the GCF.

a)

9( x + 3 )

b)

9x + 3

c)

3(3x + 9)

factoring

Total questions: 73

Worksheet time: 2hrs 12mins

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