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

Adding and Subtracting Rational Expressions Answers

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21
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Which solution shown below contains an error?

A
Option
Option A
B
Option
Option B
C
Option
Option C
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Perform the indicated operations:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
24

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

Question illustration
Answer:

The negative sign must be distributed to every term in the numerator being subtracted. The numerator should be (x+1)−(x−2)=x+1−x+2=3, not −1.

25

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
Option B
C
The simplified numerator of the difference should be 3, not –1.
26

Explain the steps involved in adding two rational expressions.

Answer:

Factor the denominators to find the LCD; rewrite each expression with the LCD; add the numerators over the common denominator; and simplify by canceling common factors when possible.

27

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.
28

b =

Answer:

5

29

b = [___]

Answer:

-6

30

b = [___]

Answer:

2

31

Find the difference:

Question illustration
A
Option
B
Option
C
Option
32

Find the difference:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
33

b =

Answer:

5

34

b = ⇒ -9

Answer:

-9

35

b =

Answer:

2

36

Find the difference:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
37

Enter the values for m, n, and p that complete the difference:m =

Question illustration
Answer:

3

38

c = [___]

Answer:

1

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c = [___]

Answer:

3

40

Enter the values for m, n, and p that complete the difference:m =

Question illustration
Answers:
Enter the values for m, n, and p that complete the difference:m =:3
n =:14
p =:2

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