Expand −7/6(3g+2) .(1 point)

Question

Responses

−72g+2
negative Start Fraction 7 over 2 End Fraction g plus 2

72g−73
Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

72g+2
Start Fraction 7 over 2 End Fraction g plus 2

−72g−73

Answer 1

Expand −7/6(3g+2) .(1 point)
Responses

−72g+2
negative Start Fraction 7 over 2 End Fraction g plus 2

72g−73
Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

72g+2
Start Fraction 7 over 2 End Fraction g plus 2

−72g−73

Answer 2

To expand the expression −7/6(3g+2), we can distribute the −7/6 to each term inside the parentheses.

Doing so, we get:

−7/6 * 3g + (-7/6) * 2

= -21g/6 - 14/6 (simplifying the fractions)

Now, let's simplify further by dividing both terms by their greatest common factor of 3:

= -7g/2 - 7/3

So, the expanded form of −7/6(3g+2) is -7g/2 - 7/3.

Answer 3

Question
Find the GCF of 15q+6 .(1 point)

Answer 4

To find the GCF (Greatest Common Factor) of 15q and 6, we need to find the largest number or term that divides both 15q and 6 evenly.

First, let's break down 15q and 6 into their prime factors:

15q = 3 * 5 * q
6 = 2 * 3

The common factor between 15q and 6 is 3.

Therefore, the GCF of 15q and 6 is 3.

Answer 5

Find the GCF of 8d−20 .(1 point)

Answer 6

To find the GCF (Greatest Common Factor) of 8d and -20, we need to find the largest number or term that divides both 8d and -20 evenly.

First, let's break down 8d and -20 into their prime factors:

8d = 2 * 2 * 2 * d
-20 = 2 * 2 * 5 * (-1)

The common factor between 8d and -20 is 2.

Therefore, the GCF of 8d and -20 is 2.

Answer 7

wrong 8d - 20

Answer 8

My apologies for the incorrect response.

To find the GCF (Greatest Common Factor) of 8d and -20, we can find the factors of each term and determine the largest common factor.

The factors of 8d are: 1, 2, 4, 8, d, 2d, 4d, and 8d.
The factors of -20 are: 1, 2, 4, 5, 10, 20, -1, -2, -4, -5, -10, and -20.

The common factors are 1, 2, and 4.

Therefore, the GCF of 8d and -20 is 4.

Answer 9

Find the GCF of 45g+30h .(1 point)

Answer 10

To find the GCF (Greatest Common Factor) of 45g and 30h, we need to find the largest number or term that divides both 45g and 30h evenly.

First, let's break down 45g and 30h into their factors:

45g = 3 * 3 * 5 * g
30h = 2 * 3 * 5 * h

Now, let's determine the common factors:

The common factors between 45g and 30h are 3 and 5.

Therefore, the GCF of 45g and 30h is 3 * 5, which is 15.

Answer 11

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

Answer 12

To factor 9z + 18 using the GCF (Greatest Common Factor), we need to find the largest number or term that divides both 9z and 18 evenly.

First, let's factor out the GCF of 9 and 18, which is 9:

9z + 18 = 9(z + 2)

Therefore, the factored form of 9z + 18 using the GCF is 9(z + 2).

Answer 13

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

Answer 14

To factor 16d - 12 using the GCF (Greatest Common Factor), we need to find the largest number or term that divides both 16d and 12 evenly.

First, let's find the GCF of 16 and 12. The factors of 16 are 1, 2, 4, 8, and 16. The factors of 12 are 1, 2, 3, 4, 6, and 12. The largest common factor between 16 and 12 is 4.

Now, let's factor out the GCF of 4 from both terms:

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

Therefore, the factored form of 16d - 12 using the GCF is 4(4d - 3).

Answer 15

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

18
18

3
3

54
54

9

Answer 16

To find the GCF (Greatest Common Factor) of 18j and 27, we need to find the largest number or term that divides both 18j and 27 evenly.

First, let's break down 18j and 27 into their factors:

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

The common factor between 18j and 27 is 3.

Therefore, the GCF of 18j and 27 is 3.

Answer 17

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

14
14

7
7

2
2

84

Answer 18

To find the GCF (Greatest Common Factor) of 42m and -28n, we need to find the largest number or term that divides both 42m and -28n evenly.

First, let's break down 42m and -28n into their factors:

42m = 2 * 3 * 7 * m
-28n = 2 * 2 * 7 * (-1) * n

The common factor between 42m and -28n is 2 and 7.

Therefore, the GCF of 42m and -28n is 2 * 7, which is 14.

Answer 19

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

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

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

6(2w + 10)
6 Left Parenthesis 2 w plus 10 Right Parenthesis

2(4w + 8)

Answer 20

To factor 8w + 16 using the GCF (Greatest Common Factor), we need to find the largest number or term that divides both 8w and 16 evenly.

The GCF of 8 and 16 is 8.

Now, let's factor out the GCF of 8 from both terms:

8w + 16 = 8(w + 2)

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

Answer 21

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

​​​​​​​3(9h + 2)
3 Left Parenthesis 9 h plus 2 Right Parenthesis

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

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

​​​​​​​3(−9h − 2)

Answer 22

To factor -27h + 6 using the GCF (Greatest Common Factor), we need to find the largest number or term that divides both -27h and 6 evenly.

The GCF of -27 and 6 is 3.

Now, let's factor out the GCF of 3 from both terms:

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

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

Answer 23

Factor 18m − 24n using the GCF. (1 point)
Responses

​​​​​​​3(6m − 12n)
3 Left Parenthesis 6 m minus 12 n Right Parenthesis

​​​​​​​9(2m − 3n)
9 Left Parenthesis 2 m minus 3 n Right Parenthesis

​​​​​​​6(3m − 4n)
6 Left Parenthesis 3 m minus 4 n Right Parenthesis

​​​​​​​2(9m − 12n)

Answer 24

To factor 18m - 24n using the GCF (Greatest Common Factor), we need to find the largest number or term that divides both 18m and 24n evenly.

The GCF of 18 and 24 is 6.

Now, let's factor out the GCF of 6 from both terms:

18m - 24n = 6(3m - 4n)

Therefore, the factored form of 18m - 24n using the GCF is 6(3m - 4n).