Lesson 5.3: Adding and Subtracting Rational Expressions

Question 1

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

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-08-05-10-03-task/mc001-4.jpg

Question 2

x2 – 6x + 8 =

Revolt · Accepted Answer

(x – 4)(x – 2)

Question 3

What is the numerator in the sum?

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2(x – 2) + 3(x + 1)

Question 4

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

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Answer image: https://media.edgenuity.com/EVresources/3111-08-05-10-04-task/mc001-5.jpg

Question 5

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

Revolt · Accepted Answer

x2

Question 6

Rewrite the expression using the common denominator:

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Answer image: https://media.edgenuity.com/EVresources/3111-08-05-10-07-task/mc002-3.jpg

Question 7

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 =

Revolt · Accepted Answer

(x – 4)(x + 1)

Question 8

Simplify:Rewrite the expression using the LCD:

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Answer image: https://media.edgenuity.com/EVresources/3111-08-05-10-11-task/mc001-2.jpg

Question 9

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-08-05-10-03-task/mc001-4.jpg

Question 10

Study the example shown below.Which expression should replace the word “numerator” in the work shown? [image 1] [image 2] [image 3]

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-08-05-10-04-task/mc001-5.jpg

Lesson 5.3: Adding and Subtracting Rational Expressions Answers