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Question

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

[tex]-2(-8x-4y+3/4)=-10x-8y-1 \frac{1}{4}[/tex]

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)

Step-by-step explanation:

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

So, we have:

[tex]-2(-8x-4y+3/4)=[/tex]

Open bracket

[tex]-2(-8x-4y+3/4)=-2 * -8x -2 * -4y - 2 * 3/4[/tex]

[tex]-2(-8x-4y+3/4)=16x + 8y - \frac{2 * 3}{4}[/tex]

[tex]-2(-8x-4y+3/4)=16x + 8y - \frac{6}{4}[/tex]

[tex]-2(-8x-4y+3/4)=16x + 8y - 1\frac{1}{2}[/tex]

From the expression, we can see that:

  • The first term is positive
  • The second is also positive
  • And the third term is[tex]- 1\frac{1}{2}[/tex]

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

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