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

Multiplying and Dividing 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

(x − 4)(x + )(x − )

Answer:

1

4

(x − 4)(x + )(x − )

Answer:

2

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

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
9

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
10

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)
11

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

Question illustration
A
x
B
x2
C
x3
12

Simplify:Rewrite the expression using the LCD:

Question illustration
A
Option
B
Option
C
Option
13

x2 – 6x + 8 =

A
(x +8)(x – 6)
B
(x – 4)(x + 1)
C
(x – 4)(x – 2)
14

Simplify:

A
Option
B
Option
C
Option
15

x2 – 6x + 8 =

A
(x +8)(x – 6)
B
(x – 4)(x + 1)
C
(x – 4)(x – 2)
16

Simplify:

A
Option
B
Option
C
Option
17

Rewrite the expression using the common denominator:

A
Option
B
Option
C
Option
18

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)

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