AnswersAlgebra Concepts and ConnectionsMultiplying and Dividing Rational Expressions

Multiplying and Dividing Rational Expressions — Quiz Answers

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If A over b and x over y represent rational expressions and b is not equal to 0 and y is not equal to 0 , what is true of their product? Choose three correct answers.

A
The product is equivalent to A y over b x .
B
The product is equivalent to A over y times open paren x over b close paren .
C
The product is a rational expression.
D
The product is the ratio of A x and b y .
E
The product is equivalent to A x over b times y .
2
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Which expression is equivalent to 2 over 7 k times open paren k minus 7 close paren ? Assume k is not equal to 0

A
2 k over 7 k minus 2 k
B
2 sevenths minus 2 over k
C
2 k over 7 minus 7
D
the fraction with numerator 2 and denominator 7 minus k
3

What is the missing factor in the equation? Assume x≠0 and y≠0 open paren the fraction with numerator 6 x squared and denominator 5 y close paren times ? is equal to the fraction with numerator 3 x y squared and denominator 10

A
the fraction with numerator y cubed and denominator 4 x
B
3 x over 5 y
C
the fraction with numerator 9 x cubed y and denominator 25
D
the fraction with numerator 2 x y squared and denominator 5
4

Which expression will simplify to 1 ? Assume m is not equal to 9 and m is not equal to negative 9

A
open paren the fraction with numerator m plus 9 and denominator m minus 9 close paren times open paren the fraction with numerator 9 plus m and denominator 9 minus m close paren
B
open paren the fraction with numerator m plus 9 and denominator m minus 9 close paren times open paren the fraction with numerator m minus 9 and denominator m plus 9 close paren
C
open paren the fraction with numerator m plus 9 and denominator m minus 9 close paren times open paren the fraction with numerator m plus 9 and denominator m minus 9 close paren
D
open paren the fraction with numerator m plus 9 and denominator m minus 9 close paren times open paren the fraction with numerator 9 minus m and denominator 9 plus m close paren
5

What is the quotient of the fraction with numerator m to the 6th power and denominator 5 divided by the fraction with numerator 5 and denominator m squared ? Assume m is not equal to 0

A
m cubed
B
m to the 4th power
C
the fraction with numerator m to the 8th power and denominator 25
D
the fraction with numerator m to the 8th power and denominator 5
6

Which division sentence is related to the product of A over 3 times open paren A over 3 close paren when A is not equal to 0 ?

A
A over 3 divided by 3 over A is equal to 1
B
the fraction with numerator A squared and denominator 9 divided by A over 3 is equal to A over 3
C
the fraction with numerator A squared and denominator 9 divided by 3 over A is equal to 1
D
A over 3 divided by 1 is equal to A over 3
7

What is the product? the fraction with numerator A squared and denominator 5 times 10

A
2 A squared
B
5 A squared
C
the fraction with numerator A squared and denominator 5
D
the fraction with numerator A squared and denominator 2
8

What is the product of the expressions? Assume y≠0. open paren the fraction with numerator 3 x plus 5 and denominator y to the 6th power close paren times open paren the fraction with numerator 4 y cubed and denominator 5 close paren

A
the fraction with numerator 12 x plus 20 and denominator 5 y squared
B
the fraction with numerator 12 x and denominator 5 y squared
C
the fraction with numerator 12 x and denominator 5 y cubed
D
the fraction with numerator 12 x plus 20 and denominator 5 y cubed
9

Which expression is equivalent to the product of the fraction with numerator p plus 7 and denominator 3 and 6 over p , where p is not equal to 0 ?

A
the fraction with numerator 6 p plus 7 and denominator 3 p
B
the fraction with numerator 3 p plus 21 and denominator p
C
the fraction with numerator p plus 42 and denominator 3 p
D
the fraction with numerator 2 p plus 14 and denominator p
10

What is product of x over 3 and 6 over x when x is not equal to 0 ?

A
2
B
18
C
the fraction with numerator 2 and denominator x squared
D
the fraction with numerator 18 and denominator x squared

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