AnswersTX-Algebra II B-CRAdding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions Answers

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1
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What is the least common denominator (LCD) of the rational expressions being added?

Question illustration
A
x
B
x2
C
x3
2
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Rewrite the expression using the common denominator:

A
Option
Option A
B
Option
Option B
C
Option
Option C
3

What is the numerator in the sum?

A
2(x + 1)(x – 2)(x – 4) + 3(x + 1)(x – 2)(x – 4)
B
2(x – 2)(x – 4) + 3(x + 1)(x – 4)
C
2(x – 2) + 3(x + 1)
5

What is the numerator in the sum?

A
2(x + 1)(x – 2)(x – 4) + 3(x + 1)(x – 2)(x – 4)
B
2(x – 2)(x – 4) + 3(x + 1)(x – 4)
C
2(x – 2) + 3(x + 1)
6

Complete the following steps to find the LCD and write the sum of the numerators for the given problem:Factor each denominator:x2 – 3x – 4 =

Question illustration
A
(x – 4)(x + 1)
B
(x – 3)(x – 4)
C
(x – 1)(x + 4)
7

Simplify:Rewrite the expression using the LCD:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
8

Study the example shown below.Which expression should replace the word “numerator” in the work shown?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

These rational expressions all have the same denominator. Write the sum of their numerators over the common denominator:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

These rational expressions all have the same denominator. Write the sum of their numerators over the common denominator:

Question illustration
A
Option
B
Option
C
Option
D
Option
11

Study the example shown below.Which expression should replace the word “numerator” in the work shown?

Question illustration
A
Option
B
Option
C
Option
D
Option
12

What is the least common denominator (LCD) of the rational expressions being added?

Question illustration
A
x
B
x2
C
x3
13

Complete the following steps to find the LCD and write the sum of the numerators for the given problem:Factor each denominator:x2 – 3x – 4 =

Question illustration
A
(x – 4)(x + 1)
B
(x – 3)(x – 4)
C
(x – 1)(x + 4)
14

Simplify:Rewrite the expression using the LCD:

Question illustration
A
Option
B
Option
C
Option
15

Simplify:

A
Option
B
Option
C
Option
16

x2 – 6x + 8 =

A
(x +8)(x – 6)
B
(x – 4)(x + 1)
C
(x – 4)(x – 2)
17

Simplify:

A
Option
B
Option
C
Option
18

Rewrite the expression using the common denominator:

A
Option
B
Option
C
Option
19

x2 – 6x + 8 =

A
(x +8)(x – 6)
B
(x – 4)(x + 1)
C
(x – 4)(x – 2)
20

(x − 4)(x + )(x − )

Answer:

1

21

(x − 4)(x + )(x − )

Answer:

2

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Adding and Subtracting Rational Expressions