AnswersINMT3 Integrated Math 3 Sem 1 26-27Multiplying and Dividing Rational Expressions

Multiplying and Dividing Rational Expressions Answers

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Find the simplified product.

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Simplify the product

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Mathias found the product [image 1] as follows. [image 2] Which of the following best describes his error?

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He did not multiply the denominators correctly.
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He did not factor the first numerator.
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He did not divide out the 2 from the 4 and the 8.
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He did not distribute the 5 to the terms in the other numerator.
5

Which multiplication expression is equivalent to ?

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The simplified quotient is .

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1

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Find the simplified quotient.

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t – 6
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3t + 18
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3t – 18
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Simplify .

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x2 + 3x
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Simplify.4m7m✔ 12m36m

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4m
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7m
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36m
11

Using V = lwh , find an expression in factored form for the volume of this prism. Explain the general steps you used to arrive at this answer.

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Answer:

Factor each rational dimension, write 2x − 5 as (2x − 5)/1, and multiply the three dimensions. Cancel the common factors x − 1 and 4x + 1. The volume in factored form is (x)(6x)(2x − 5), or 6x²(2x − 5).

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Select all of the following that you included in your answer.

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Write 2x – 5 over 1.
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Factor numerators and denominators, when possible
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Divide out common factors to simplify.
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Determine that the volume is (x)(6x)(2x – 5).

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