Find the GCF of 42m−28n.(1 point)
Responses
2
2
84
84
14
14
7
11 answers
The GCF of 42m-28n is 14.
Factor Algebraic Expressions Quick Check
3 of 53 of 5 Items
Question
Use properties of operations to factor 8w + 16 using the GCF. (1 point)
Responses
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)
6 Left Parenthesis 2 w plus 10 Right Parenthesis
4(2w + 4)
3 of 53 of 5 Items
Question
Use properties of operations to factor 8w + 16 using the GCF. (1 point)
Responses
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)
6 Left Parenthesis 2 w plus 10 Right Parenthesis
4(2w + 4)
To factor 8w + 16 using the GCF (Greatest Common Factor), we first need to find the GCF of 8w and 16, which is 8. Then we divide each term by the GCF:
8w / 8 = w
16 / 8 = 2
So, the factored form of 8w + 16 using the GCF is 8(w + 2).
8w / 8 = w
16 / 8 = 2
So, the factored form of 8w + 16 using the GCF is 8(w + 2).
Factor −27h + 6 using the GCF. (1 point)
Responses
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)
3 Left Parenthesis 9 h plus 2 Right Parenthesis
3(−9h − 2)
3 Left Parenthesis negative 9 h minus 2 Right Parenthesis
Responses
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)
3 Left Parenthesis 9 h plus 2 Right Parenthesis
3(−9h − 2)
3 Left Parenthesis negative 9 h minus 2 Right Parenthesis
To factor -27h + 6 using the GCF (Greatest Common Factor), we first need to find the GCF of -27h and 6. The GCF is 3.
Now we divide each term by the GCF:
-27h / 3 = -9h
6 / 3 = 2
So, the factored form of -27h + 6 using the GCF is 3(-9h + 2).
Now we divide each term by the GCF:
-27h / 3 = -9h
6 / 3 = 2
So, the factored form of -27h + 6 using the GCF is 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)
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)
To factor 18m - 24n using the GCF (Greatest Common Factor), we first need to find the GCF of 18m and 24n. The GCF is 6.
Now we divide each term by the GCF:
18m / 6 = 3m
24n / 6 = 4n
So, the factored form of 18m - 24n using the GCF is 6(3m - 4n).
Now we divide each term by the GCF:
18m / 6 = 3m
24n / 6 = 4n
So, the factored form of 18m - 24n using the GCF is 6(3m - 4n).
Add: 12(x+4)+14(4x−2) . Answer should be in mixed number form.
To simplify the expression, we can distribute the coefficients to each term inside the parentheses:
12(x + 4) + 14(4x - 2)
= 12 * x + 12 * 4 + 14 * 4x - 14 * 2
= 12x + 48 + 56x - 28
= (12x + 56x) + (48 - 28)
= 68x + 20
Therefore, the simplified expression is 68x + 20.
12(x + 4) + 14(4x - 2)
= 12 * x + 12 * 4 + 14 * 4x - 14 * 2
= 12x + 48 + 56x - 28
= (12x + 56x) + (48 - 28)
= 68x + 20
Therefore, the simplified expression is 68x + 20.
whats the answer in mixed form?
The expression 68x + 20 cannot be represented in mixed form since it is a linear expression and does not involve any fractions or mixed numbers. It is already simplified in standard form.
1 answer