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

Question 2

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

Revolt · Accepted Answer

x2

Question 3

Rewrite the expression using the common denominator:

Revolt · Accepted Answer

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

Question 4

The least common denominator is:

Revolt · Accepted Answer

✔ (x – 4)(x + 1); (x – 4)(x + 1); (x – 4)(x – 2)

Question 5

x2 – 6x + 8 = X (x +8)(x – 6)(x – 4)(x + 1)✔ (x – 4)(x – 2)

Revolt · Accepted Answer

✔ (x – 4)(x – 2)

Question 6

The least common denominator is: (x − 4)(x + )(x − )

Revolt · Accepted Answer

2

Question 7

What is the numerator in the sum?

Revolt · Accepted Answer

2(x – 2) + 3(x + 1)

Question 8

Simplify:Rewrite the expression using the LCD:

Revolt · Accepted Answer

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

Question 9

Simplify:

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-08-05-10-11-task/mc002-2.jpg

Adding and Subtracting Rational Expressions Answers