Adding and Subtracting Rational Expressions Answers

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Find the sum:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
23

Find the difference:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
25

Perform the indicated operations:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
26

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
27

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.

28

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.
29

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.

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.

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