Question

Daniel expanded the expression as shown. Negative 2 (Negative 8 x minus 4 y + three-fourths) = negative 10 x minus 8 y minus 1 and one-fourth What errors did he make? Select three options. The first term should be positive. The second term should be positive. The last term should be Negative 1 and one-half, not Negative 1 and one-fourth. He divided Negative 8 by Negative 2 instead of multiplying Negative 8 by Negative 2. He did not simplify the expression completely.

Answer 1

Answer:

Option 1,2,3

Step-by-step explanation:

got it right

Answer 2

Answer:

Options A, B and C are correct.

Step-by-step explanation:

The given expression is

$-2\left(-8x-4y+\dfrac{3}{4}\right)$

Using distributive property, we get

$-2(-8x)-2(-4y)-2\left(\dfrac{3}{4}\right)$

$16x+8y-\dfrac{6}{4}$

$16x+8y-\dfrac{3}{2}$

$16x+8y-1\dfrac{1}{2}$

It is given that Daniel expanded the expression as

$-2\left(-8x-4\dfrac{3}{4}\right)=-10x-8y-1\dfrac{1}{4}$

The first term should be positive.

The second term should be positive.

The last term should be Negative 1 and one-half, not Negative 1 and one-fourth.

Therefore, options A, B and C are correct.