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

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

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Thiên Hương 1 year 2021-08-09T00:22:24+00:00 1 Answers 249 views 0

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    2021-08-09T00:24:10+00:00

    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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