AnswersPARTA - EVP PGCPS ALGEBRA 2 OC FALL2026 - 793033Multiplying and Dividing Rational Expressions

Multiplying and Dividing Rational Expressions Answers

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1
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Find the simplified product.

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Option
B
Option
C
Option
D
Option
2
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Question text not available

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Option
B
Option
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Option
D
Option
3

Simplify the product

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Option
B
Option
C
Option
D
Option
4

Mathias found the product as follows.Which of the following best describes his error?

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

Which multiplication expression is equivalent to ?

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Option
B
Option
C
Option
6

Find the simplified quotient.t – 63t + 183t – 18

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A
Option
B
t – 6
C
3t + 18
D
3t – 18
7

Simplify .

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B
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D
x2 + 3x
8

Find the simplified product.

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Simplify the product

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Mathias found the product as follows.Which of the following best describes his error?

Question illustration
A
He did not multiply the denominators correctly.
B
He did not factor the first numerator.
C
He did not divide out the 2 from the 4 and the 8.
D
He did not distribute the 5 to the terms in the other numerator.
11

Which multiplication expression is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
12

The simplified quotient is .

Answer:

1

13

Find the simplified quotient.

Question illustration
A
Option
Option A
B
t – 6
Option B
C
3t + 18
Option C
D
3t – 18
Option D
14

Simplify .

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Option
Option A
B
Option
Option B
C
Option
Option C
D
x2 + 3x
Option D
15

Simplify.X 4m7m12m36m

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A
X 4m
B
7m
C
12m
D
36m
16

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:

The volume is V = (x)(6x)(2x - 5) = 6x^2(2x - 5). I substituted the dimensions into V = lwh, wrote 2x - 5 over 1, factored the numerators and denominators, and divided out common factors to simplify.

17

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

A
Write 2x – 5 over 1.
B
Factor numerators and denominators, when possible
C
Divide out common factors to simplify.
D
Determine that the volume is (x)(6x)(2x – 5).
18

The simplified quotient is .

Answer:

x^4/(x+8)^2

19

Question text not available

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Answer not available
20

Simplify.4m7m12m36m

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A
4m
B
7m
C
12m
D
36m

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