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

Rewrite the expression using the common denominator:

Revolt · Accepted Answer

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

Question 3

What is the numerator in the sum?

Revolt · Accepted Answer

2(x – 2) + 3(x + 1)

Question 4

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

Revolt · Accepted Answer

x2

Question 5

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 6

Simplify:Rewrite the expression using the LCD:

Revolt · Accepted Answer

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

Question 7

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

Revolt · Accepted Answer

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

Question 8

x2 – 6x + 8 =

Revolt · Accepted Answer

(x – 4)(x – 2)

Adding and Subtracting Rational Expressions Answers