Factor 9z + 18 using the GCF.(1 point)

The greatest common factor (GCF) of 9z and 18 is 9.

So, we can factor out a 9 from both terms:

9z + 18 = 9(z + 2)

Factor 16d − 12 using the GCF.(1 point)

The greatest common factor (GCF) of 16d and 12 is 4.

So, we can factor out a 4 from both terms:

16d - 12 = 4(4d - 3)

How can the whole number 378 be expressed as a product of prime numbers with exponents?(1 point)
Responses

2⋅27⋅7
2 times 27 times 7

2⋅33⋅7
2 times 3 cubed times 7

14⋅27
14 times 27

2⋅3⋅3⋅3⋅7

The correct answer is: 2⋅3⋅3⋅3⋅7

Find the GCF of 18j+27 .(1 point)
Responses

54
54

18
18

9
9

3

To find the greatest common factor (GCF) of 18j and 27, we can first factor each term:

18j = 2 * 3 * 3 * j
27 = 3 * 3 * 3

Now, we can identify the common factors between the two terms, which are 3 and 3.

The GCF is the product of these common factors:
GCF = 3 * 3 = 9

So, the GCF of 18j and 27 is 9.

Find the GCF of 42m−28n .(1 point)
Responses

2
2

7
7

84
84

14

To find the greatest common factor (GCF) of 42m and 28n, we can first factor each term:

42m = 2 * 3 * 7 * m
28n = 2 * 2 * 7 * n

Now, we can identify the common factors between the two terms, which are 2 and 7.

The GCF is the product of these common factors:
GCF = 2 * 7 = 14

So, the GCF of 42m and 28n is 14.

Use properties of operations to factor 8w + 16 using the GCF. (1 point)
Responses

4(2w + 4)
4 Left Parenthesis 2 w plus 4 Right Parenthesis

2(4w + 8)
2 Left Parenthesis 4 w plus 8 Right Parenthesis

8(w + 2)
8 Left Parenthesis w plus 2 Right Parenthesis

6(2w + 10)

The greatest common factor (GCF) of 8w and 16 is 8.

So, we can factor out an 8 from both terms:

8w + 16 = 8(w + 2)

Therefore, the correct answer is: 8(w + 2)

Factor −27h + 6 using the GCF. (1 point)
Responses

3(9h − 2)
3 Left Parenthesis 9 h minus 2 Right Parenthesis

3(−9h − 2)
3 Left Parenthesis negative 9 h minus 2 Right Parenthesis

3(−9h + 2)
3 Left Parenthesis negative 9 h plus 2 Right Parenthesis

3(9h + 2)

The greatest common factor (GCF) of -27h and 6 is 3.

So, we can factor out a 3 from both terms:

-27h + 6 = 3(-9h + 2)

Therefore, the correct answer is: 3(-9h + 2)