AnswersFL-1200330-Algebra 2 Sem 2 - FlexSimplifying Rational Expressions by Factoring

Simplifying Rational Expressions by Factoring Answers

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Simplify

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
2
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What are the excluded values?

A
–4 and –1
Option A
B
, 1, and 4
Option B
C
1
Option C
D
1 and 4
Option D
3

Simplify

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

The excluded values of a rational expression are 0, 6, and 9. Which of the following could be this expression?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Which answers did you include in your response?

A
No, it does not.
B
x and x + 6 are both prime and cannot be factored.
C
There are no common factors to divide out.
D
x over x + 6 is already simplified.
E
If you substitute in a value for x, the fraction will not be equal to .
Option E
6

Which rational expression is defined for all real numbers?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Which of the following mistakes did the student make?

A
The student did not factor the numerator correctly.
B
The student could not divide out (2 – x) and (x – 2) as written.
C
The student did not factor the denominator correctly.
D
The student needed to simplify further by dividing out x.
8

Identify the value(s) that are not restrictions on the variable for the rational expression.

Question illustration
A
–1
B
0
C
–5
D
1
E
5
9

A rational expression simplifies to [image 1] The denominator of the original expression is given. Which polynomial is the numerator? [image 2]

Question illustration
A
6x2 – 2x – 16
B
3x – 4
C
12x2 – 4x – 16
D
3x2 – x – 4
10

The area of a rectangle can be represented by the expression x2 + 4x – 12. The width can be represented by the expression x – 2. Which expression represents the length?

A
x – 2(x2 + 4x – 12)
Option A
B
Option
Option B
C
Option
Option C
11

Simplify the expression for the length.

A
x + 6
B
x – 6
C
x + 2
D
x – 2

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