Factor 16d − 12

using the GCF.(1 point)

The greatest common factor (GCF) of 16d and -12 is 4. Thus, we can factor out 4 from both terms:

16d − 12 = 4(4d − 3)

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

Responses give me the right answers
54
54

3
3

9
9

18

To find the greatest common factor (GCF) of 18j and 27, we can look for the largest number that evenly divides both terms.

The factors of 18j are 1, 2, 3, 6, 9, 18, j, 2j, 3j, 6j, 9j, 18j.

The factors of 27 are 1, 3, 9, 27.

From these lists, we can see that the largest number that divides both 18j and 27 is 9.

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

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

Responses give me the right answers
7
7

84
84

2
2

14

To find the greatest common factor (GCF) of 42m and -28n, we can look for the largest number that evenly divides both terms.

The factors of 42m are 1, 2, 3, 6, 7, 14, 21, 42, m, 2m, 3m, 6m, 7m, 14m, 21m, 42m.

The factors of -28n are 1, 2, 4, 7, 14, 28, n, 2n, 4n, 7n, 14n, 28n.

From these lists, we can see that the largest number that divides both 42m and -28n is 14.

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

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

Responses

4(2w + 4)
4(2w + 4)

2(4w + 8)
2(4w + 8)

8(w + 2)
8(w + 2)

6(2w + 10)
6(2w + 10)

To factor 8w + 16 using the greatest common factor (GCF), we need to find the largest number that evenly divides both terms.

The GCF of 8w and 16 is 8.

We can then factor out 8 from both terms:

8w + 16 = 8(w + 2)

Therefore, the factored form of 8w + 16 using the GCF is 8(w + 2).

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

Responses give me the right answers
3(-9h +2)
3(-9h +2)

3(-9h - 2)
3(-9h - 2)

3(-9h - 2)
3(-9h - 2)

3(9h + 2)

To factor -27h + 6 using the greatest common factor (GCF), we need to find the largest number that evenly divides both terms.

The GCF of -27h and 6 is 3.

We can then factor out 3 from both terms:

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

Therefore, the factored form of -27h + 6 using the GCF is 3(-9h + 2).

Expand and distribute.

−5(−3−11g)
(1 point)
Responses give me the right answers
55g + 15
55g + 15

-55g + 15
-55g + 15

-55g - 15
-55g - 15

55g - 15