AnswersFall 24 GMS Algebra Concepts and Connections AAdding and Subtracting Rational Expressions (Continued)

Multiplying and Dividing Rational Expressions Answers

5 verified answers
1
Free Preview

Which statements are true about rational expression multiplication? Check all that apply.The closure property states that the sum of two rational expressions is an irrational number.Rational expressions are closed under multiplication.The commutative property states that changing the order of two or more factors does not change the value of the product.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 are parallel to the properties of rational number multiplication.

A
The closure property states that the sum of two rational expressions is an irrational number.
B
Rational expressions are closed under multiplication.
C
The commutative property states that changing the order of two or more factors does not change the value of the product.
D
The associative property states that the way in which two or more factors are grouped in a product changes the value of the product.
E
The properties of rational expression multiplication are parallel to the properties of rational number multiplication.
3

Which statements are true about Aimee’s and Theo’s work? Check all that apply.

A
Aimee simplified before she multiplied.
B
Theo’s product is correct.
C
Aimee divided out the factors 4 and x2 from 8x5 and 20x2.
D
Theo multiplied the numerators correctly but did not multiply the denominators correctly.
E
Multiplying rational expressions in different ways always results in different products.
4

Multiply:

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

What is the first step for finding the quotient of ?

Question illustration
A
Multiply the numerators and denominators to get .
Option A
B
Take the reciprocal of the dividend to get .
Option B
C
Take the reciprocal of the divisor to get .
Option C
D
These expressions cannot be divided.
Option D

Did you find these answers helpful?

Multiplying and Dividing Rational Expressions…