AnswersFL-1200700-Mathematics for College Algebra MISAdding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions Answers

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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

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

n =

Answer:

14

5

p =

Answer:

2

6

Question text not available

Answers:
Blank 1:3
Blank 2:5
7

Enter the values for a and b that complete the sum:a =

Question illustration
Answers:
Blank 1:3
Blank 2:5
8

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
9

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
10

Find the sum:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
11

Which solution shown below contains an error?

A
Option
Option A
B
Option
Option B
C
Option
Option C
12

Perform the indicated operations:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

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

Question illustration
Answer:

When subtracting rational expressions, it is necessary to subtract all terms in the second numerator, not just the first term. This means the negative sign must be distributed to both the x and the -2. The correct simplified numerator should be (x + 1) - (x - 2) = x + 1 - x + 2, which equals 3. Only subtracting the first term results in an incorrect numerator of -1.

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.
16

Explain the steps involved in adding two rational expressions.

Answer:

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

17

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.
18

b =

Answer:

5

19

Find the difference:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
20

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

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

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