AnswersAlgebra IIRational Functions

Practice Test Answers

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What is the product? the fraction with numerator 3 k and denominator k plus 1 times the fraction with numerator k squared minus 1 and denominator 3 k cubed

A
1 over k
B
negative 1 over k
C
the fraction with numerator k minus 1 and denominator k squared
D
the fraction with numerator k plus 1 and denominator k squared
2
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What is the quotient? the fraction with numerator 3 y plus 2 and denominator 3 y divided by the fraction with numerator 6 y squared plus 4 y and denominator 3 y plus 2

A
1 over y
B
the fraction with numerator 2 times open paren 3 y plus 2 close paren and denominator 3
C
1 over 2 y
D
the fraction with numerator 3 y plus 2 and denominator 6 y squared
3

Which solution to the equation the fraction with numerator 3 and denominator A plus 2 plus 2 over A is equal to the fraction with numerator 4 A minus 4 and denominator A squared minus 4 is extraneous?

A
A is equal to 4
B
A is equal to negative 2
C
A is equal to negative 2 and A is equal to 4
D
neither A is equal to negative 2 nor A is equal to 4
4

Which expression has the same value as negative y to the negative 4 power ?

A
the fraction with numerator 1 and denominator y to the 4th power
B
negative y to the 4th power
C
negative the fraction with numerator 1 and denominator y to the 4th power
D
y to the 4th power
6

Which expression is equivalent to the following complex fraction? the fraction with numerator the fraction with numerator x and denominator x minus 3 and denominator the fraction with numerator x squared and denominator x squared minus 9

A
the fraction with numerator x plus 3 and denominator x
B
the fraction with numerator x minus 3 and denominator x
C
the fraction with numerator x and denominator x plus 3
D
the fraction with numerator x plus 3 and denominator 1
8

Which expressions are equivalent to open paren 2 to the 5th power close paren to the negative 2 power ?

A
2 to the negative 10 power and 1 over 20
B
10 to the negative 2 power and 1 over 100
C
2 to the negative 10 power and 1 over 1024
D
10 to the negative 10 power and 1 over 100

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