Find the GCF of 18j+27.(1 point)
Responses
9
9
54
54
18
18
3
3
The GCF of 18j and 27 is 9.
Find the GCF of 42m−28n.(1 point)
Responses
2
2
84
84
14
14
7
The GCF of 42m and 28n is 14.
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
2(4w + 8)
2 Left Parenthesis 4 w plus 8 Right Parenthesis
4(2w + 4)
4 Left Parenthesis 2 w plus 4 Right Parenthesis
6(2w + 10)
The GCF of 8w and 16 is 8. Using this, we can factor out 8 from both terms to get:
8w + 16 = 8(w + 2)
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 9 h minus 2 Right Parenthesis
3(−9h − 2)
3 Left Parenthesis negative 9 h minus 2 Right Parenthesis
3(−9h + 2)
The GCF of -27h and 6 is 3. Using this, we can factor out 3 from both terms to get:
-27h + 6 = 3(9h + 2)
Factor 18m − 24n using the GCF. (1 point)
Responses
9(2m − 3n)
9 Left Parenthesis 2 m minus 3 n Right Parenthesis
2(9m − 12n)
2 Left Parenthesis 9 m minus 12 n Right Parenthesis
3(6m − 12n)
3 Left Parenthesis 6 m minus 12 n Right Parenthesis
6(3m − 4n)
6 Left Parenthesis 3 m minus 4 n Right Parenthesis
The GCF of 18m and 24n is 6. Using this, we can factor out 6 from both terms to get:
18m - 24n = 6(3m - 4n)
To find the greatest common factor (GCF) of 18j+27, we need to factorize the expression and find the common factors.
First, let's factor out the common factor of 9:
18j + 27 = 9(2j + 3)
Now, we can see that the GCF of 18j+27 is 9 since 9 is a common factor of both terms in the expression.
So, the correct answer is 9.