Multiplying and Dividing Rational Expressions

Question 1

Which statements are true about the multiplication and division properties of rational expressions? Check all that apply.The closure property of multiplication states that the product of two rational expressions is a rational expression.The commutative property only holds true for the multiplication of rational expressions.The associative property holds true for both the multiplication and division of rational expressions.The associative property states that the way in which two or more factors are grouped in a product changes the value of the product.The properties of rational expression multiplication and division are parallel to the properties of rational number multiplication and division.

Revolt · Accepted Answer

The closure property of multiplication states that the product of two rational expressions is a rational expression.; The commutative property only holds true for the multiplication of rational expressions.; The properties of rational expression multiplication and division are parallel to the properties of rational number multiplication and division.

Question 2

Which expressions are equivalent to [image 1] ? Check all that apply. [image 2] [image 3] [image 4] 6 ÷ m [image 5] m

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/519ae934f7b8d660414e84e78424a0e7.png; Answer image: //media.edgenuity.com/EVresources/dd0841c36b5c69226b5e132029bf6390.png; 6 ÷ m

Question 3

Consider the steps for determining the quotient of .

Revolt · Accepted Answer

The quotient will be expression.: a rational; The numerator of the simplified quotient is .: 3; The denominator of the simplified quotient is .: 1

Question 4

Complete the statements about simplifying this expression:

Revolt · Accepted Answer

✔ y; The variable can be entirely eliminated by applying the identity property of multiplication.: y; The numerator of the rational expression in simplest form is .: z; The denominator of the rational expression in simplest form is .: x

Question 5

x y✔ z

Revolt · Accepted Answer

✔ z

Question 6

✔ x y z

Revolt · Accepted Answer

✔ x

Question 7

What is the product of ?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/e7b7c536f0d52f37c83161ec1145c385.png

Question 8

Consider the steps for determining the quotient of .

Revolt · Accepted Answer

✔ a rational; The quotient will be expression.: a rational; The numerator of the simplified quotient is .: 3; The denominator of the simplified quotient is .: 1

Question 9

1✔ 3x 4x

Revolt · Accepted Answer

✔ 3

Question 10

✔ 1 4x – 4 4x – 8

Revolt · Accepted Answer

✔ 1

Multiplying and Dividing Rational Expressions Answers

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