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

Adding and Subtracting Rational Expressions Answers

15 verified answers4 views
1
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Find the sum:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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Find the difference:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Question text not available

Question illustration
Answers:
Blank 1:3
Blank 2:14
Blank 3:2
4

Find the sum:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
5

Which solution shown below contains an error?

A
Option
Option A
B
Option
Option B
C
Option
Option C
6

Perform the indicated operations:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

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

Question illustration
Answer:

The error occurred when subtracting the numerators. The student failed to distribute the negative sign to both terms of the second numerator. The correct subtraction should be (x + 1) - (x - 2) = x + 1 - x + 2 = 3. The student likely calculated x + 1 - x - 2, which resulted in -1.

9

Explain the steps involved in adding two rational expressions.

Answer:

To add two rational expressions, first factor the denominators to find the least common denominator (LCD). Next, rewrite each expression so they both have the LCD by multiplying the numerator and denominator by any missing factors (multiplying by a form of one). Then, add the numerators together while keeping the denominator the same. Finally, factor the resulting numerator if possible and simplify the expression by dividing out common factors from the numerator and denominator.

10

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.
11

Question text not available

Question illustration
Answers:
Blank 1:3
Blank 2:5
12

Enter the values for the highlighted variables to complete the steps to find the sum:

Question illustration
Answers:
Blank 1:3
Blank 2:-6
Blank 3:1
Blank 4:5
Blank 5:1
Blank 6:8
Blank 7:-6
13

Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:

Question illustration
Answers:
Blank 1:2
Blank 2:2
Blank 3:3
Blank 4:3
Blank 5:5
Blank 6:5
Blank 7:1
14

Find the difference:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
15

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.

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