AnswersTX-Algebra II B-CRAdding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions Answers

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21
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a =

Question illustration
Answer:

6

22
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Find the sum:

Question illustration
A
Option
B
Option
C
Option
23

Which solution shown below contains an error?

A
Option
B
Option
C
Option
24

Perform the indicated operations:

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A
Option
B
Option
C
Option
D
Option
25

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
26

Describe the error made in subtracting the two rational expressions shown:

Question illustration
Answer:

They did not distribute the subtraction to the −2 in the second numerator. The numerator should be x + 1 − x + 2 = 3, not −1.

27

Which of the following did you include in your description?

A
You must subtract all terms of the numerator being subtracted out, not just the first term.
B
The negative 2 should have been subtracted out to get a numerator of
C
The simplified numerator of the difference should be 3, not –1.
28

Explain the steps involved in adding two rational expressions.

Answer:

Factor the denominators to find the least common denominator (LCD). Rewrite each expression with the LCD by multiplying by an equivalent form of one. Add the numerators and keep the common denominator. Then simplify by factoring and canceling any common factors.

29

Which of the following steps did you include?

A
Factor the denominators of each expression to find the LCD.
B
Rename each expression, if needed, by multiplying by a form of one to get the LCD.
C
Add the numerators, keeping the denominators the same.
D
If possible, simplify by factoring the numerator and dividing out common factors from both the numerator and denominator.
30

Which of the following steps did you include?

A
Factor the denominators of each expression to find the LCD.
B
Rename each expression, if needed, by multiplying by a form of one to get the LCD.
C
Add the numerators, keeping the denominators the same.
D
If possible, simplify by factoring the numerator and dividing out common factors from both the numerator and denominator.
31

Find the difference:

Question illustration
A
Option
B
Option
C
Option
D
Option
32

Find the difference:

Question illustration
A
Option
B
Option
C
Option
33

b =

Answer:

5

34

b = [___]

Answer:

-6

35

b = [___]

Answer:

2

36

Find the difference:

Question illustration
A
Option
B
Option
C
Option
D
Option
37

b =

Answer:

5

38

b =

Answer:

2

39

Find the difference:

Question illustration
A
Option
B
Option
C
Option
40

Question text not available

Answers:
Blank 1:3
Blank 2:14
Blank 3:2

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