Which is the complete factorization of this expression? −24x+64

Question

(1 point)
Responses

−8(3x−8)
negative 8 times open paren 3 x minus 8 close paren

−8(3x+8)
negative 8 times open paren 3 x plus 8 close paren

8(2x−8)
8 times open paren 2 x minus 8 close paren

−8(x+8)

Answer 1

To factor the expression $-24x+64$, we can start by finding the greatest common factor (GCF) of the terms $-24x$ and $64$.

The GCF of $-24$ and $64$ is $8$. However, since we are factoring out a negative, we will factor out $-8$:

$$-24x+64=-8(3x-8)$$

Thus, the complete factorization of the expression $-24x+64$ is:

$-8(3x-8)$

So the correct response is:

−8(3x−8)

Answer 2

Which is the complete factorization of this expression? −20x−5y
(1 point)
Responses

5(4x+y)
5 times open paren 4 x plus y close paren

−5(4x−y)
negative 5 times open paren 4 x minus y close paren

−5(4x+y)
negative 5 times open paren 4 x plus y close paren

4(5x−y)
4 times open paren 5 x minus y close paren

Answer 3

To factor the expression $-20x-5y$, we first identify the greatest common factor (GCF) of the terms $-20x$ and $-5y$.

The GCF of $-20$ and $-5$ is $-5$. Therefore, we can factor out $-5$:

$$-20x-5y=-5(4x+y)$$

Thus, the complete factorization of the expression $-20x-5y$ is:

−5(4x+y)

So the correct response is:

−5(4x+y).

Answer 4

Simplify

−(16−5x)


(1 point)
Responses

5x+16
5 x plus 16

−5x−16
negative 5 x minus 16

−5x+16
negative 5 x plus 16

5x−16

Answer 5

To simplify the expression $-(16-5x)$, we need to distribute the negative sign:

\[

• (16 - 5x) = -16 + 5x \]

Rearranging the terms gives us:

$$5x-16$$

Thus, the simplified expression is:

5x - 16

So the correct response is:

5x−16.

Answer 6

Harun and Breelyn have $30 to spend on a bag of candy at the CANDY SPOT. Each bag costs $3. Given that H and B represent the number of bags that Harun (H) and Breelyn (B) bought, which expression can be used to represent the amount of money they had leftover?(1 point)
Responses

30+3H−3S
30 plus 3 cap h minus 3 cap s

3H + 3B − 30
3H + 3B − 30

30−3H−3B
30 minus 3 cap h minus 3 cap b

30−3H+3B

Answer 7

To represent the amount of money Harun and Breelyn have leftover after buying bags of candy, we can start with their total amount of money, which is $30. They spend money on bags of candy, with each bag costing $3.

If Harun buys $H$ bags and Breelyn buys $B$ bags, the total amount of money spent on the candy can be expressed as:

$$3H+3B$$

Thus, the amount of money they have leftover is calculated by subtracting the total amount spent from their initial $30:

$$30-(3H+3B)$$

This simplifies to:

$$30-3H-3B$$

So, the correct expression that represents the amount of money they had leftover is:

30−3H−3B.