Question

Daniel expanded the expression as shown -3(-8x-4y+3/4)=10x-8y-1 1/4 what areas did he make like three options

Answer 1

Question

Daniel expanded the expression as shown. What errors did he make? Select three options.

`-2(-8x-4y+3/4)=-10x-8y-1 (1)/(4)`

A. The first term should be positive.

B. The second term should be positive.

C. The last term should be -1 1/2, not -1 1/4.

D. He divided -8 by -2 instead of multiplying -8 by -2.

E. He did not simplify the expression completely.

Answer:

Daniel's errors are (a), (b) and (c)

Explanation:

To do this, we only need to solve the expression on the left.

So, we have:

`-2(-8x-4y+3/4)=`

Open bracket

`-2(-8x-4y+3/4)=-2 * -8x -2 * -4y - 2 * 3/4`

`-2(-8x-4y+3/4)=16x + 8y - (2 * 3)/(4)`

`-2(-8x-4y+3/4)=16x + 8y - (6)/(4)`

`-2(-8x-4y+3/4)=16x + 8y - 1(1)/(2)`

From the expression, we can see that:

• The first term is positive

• The second is also positive

• And the third term is
  `- 1(1)/(2)`

So, Daniel's errors are (a), (b) and (c)