AnswersCMS 2026-2027 NC Math 3 CREDIT RECOVERYMultiplying and Dividing Rational Expressions

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1
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What is the product? the fraction with numerator 2 A minus 7 and denominator A times the fraction with numerator 3 A squared and denominator 2 A squared minus 11 A plus 14

A
the fraction with numerator 3 and denominator A minus 2
B
the fraction with numerator 3 and denominator A plus 2
C
the fraction with numerator 3 A and denominator A minus 2
D
the fraction with numerator 3 A and denominator A plus 2
3

What is the product? 5 k over 6 times the fraction with numerator 3 and denominator 2 k cubed

A
the fraction with numerator 5 k squared and denominator 4
B
the fraction with numerator 5 k to the 4th power and denominator 4
C
the fraction with numerator 5 and denominator 4 k squared
D
the fraction with numerator 5 and denominator 4 k to the 4th power
4

Which expression is equivalent to the fraction with numerator c squared minus 4 and denominator c plus 3 divided by the fraction with numerator c plus 2 and denominator 3 times open paren c squared minus 9 close paren ?

A
the fraction with numerator c plus 3 and denominator c squared minus 4 times the fraction with numerator c plus 2 and denominator 3 times open paren c squared minus 9 close paren
B
the fraction with numerator c squared minus 4 and denominator c plus 3 divided by the fraction with numerator 3 times open paren c squared minus 9 close paren and denominator c plus 2
C
the fraction with numerator c squared minus 4 and denominator c plus 3 times the fraction with numerator 3 times open paren c squared minus 9 close paren and denominator c plus 2
D
the fraction with numerator c plus 3 and denominator c squared minus 4 divided by the fraction with numerator c plus 2 and denominator 3 times open paren c squared minus 9 close paren
5

What is the quotient? the fraction with numerator A minus 3 and denominator 7 divided by the fraction with numerator 3 minus A and denominator 21

A
3
B
negative 3
C
the fraction with numerator open paren A minus 3 close paren squared and denominator 147
D
the fraction with numerator negative open paren A minus 3 close paren squared and denominator 147
6

Which expression is equivalent to the fraction with numerator 4 f squared and denominator 3 divided by 1 over 4 f ?

A
the fraction with numerator 3 and denominator 16 f cubed
B
f over 3
C
the fraction with numerator 16 f cubed and denominator 3
D
3 over f
9

Which expression is equivalent to the fraction with numerator 3 x and denominator x plus 1 divided by x plus 1 ?

A
the fraction with numerator 3 x and denominator x plus 1 divided by the fraction with numerator 1 and denominator x plus 1
B
the fraction with numerator x plus 1 and denominator 3 x times the fraction with numerator x plus 1 and denominator 1
C
the fraction with numerator 3 x and denominator x plus 1 times the fraction with numerator 1 and denominator x plus 1
D
the fraction with numerator x plus 1 and denominator 1 divided by the fraction with numerator 3 x and denominator x plus 1
10

What is the product? the fraction with numerator 4 k plus 2 and denominator k squared minus 4 times the fraction with numerator k minus 2 and denominator 2 k plus 1

A
the fraction with numerator 2 and denominator 2 k plus 1
B
the fraction with numerator 2 and denominator k minus 2
C
the fraction with numerator 4 and denominator 2 k plus 1
D
the fraction with numerator 2 and denominator k plus 2

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