AnswersCMS 2026-2027 NC Math 3 CREDIT RECOVERYAdding and Subtracting Rational Expressions

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1
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What is the sum? the fraction with numerator 2 and denominator x squared plus the fraction with numerator 4 and denominator x squared

A
the fraction with numerator 8 and denominator x squared
B
the fraction with numerator 6 and denominator x squared
C
the fraction with numerator 6 and denominator 2 x squared
D
the fraction with numerator 6 and denominator x to the 4th power
2
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What is the sum? 3 over x plus the fraction with numerator 4 and denominator x squared

A
the fraction with numerator 3 x plus 4 and denominator x cubed
B
the fraction with numerator 3 x plus 4 and denominator x squared
C
7 over x
D
the fraction with numerator 7 and denominator x plus x squared
3

What is the difference? the fraction with numerator x and denominator x squared plus 3 x plus 2 minus the fraction with numerator 1 and denominator open paren x plus 2 close paren times open paren x plus 1 close paren

A
the fraction with numerator negative 1 and denominator 4 x plus 2
B
the fraction with numerator 1 and denominator x plus 2
C
the fraction with numerator x minus 1 and denominator x squared plus 3 x plus 2
D
the fraction with numerator x minus 1 and denominator 6 x plus 4
5

What is the sum? the fraction with numerator 3 and denominator x squared minus 9 plus the fraction with numerator 5 and denominator x plus 3

A
the fraction with numerator 5 x minus 12 and denominator x minus 3
B
the fraction with numerator 8 and denominator x squared plus x minus 6
C
the fraction with numerator 5 x minus 12 and denominator open paren x plus 3 close paren times open paren x minus 3 close paren
D
the fraction with numerator negative 5 x and denominator open paren x plus 3 close paren times open paren x minus 3 close paren
6

What is the difference? the fraction with numerator 2 x plus 5 and denominator x squared minus 3 x minus the fraction with numerator 3 x plus 5 and denominator x cubed minus 9 x minus the fraction with numerator x plus 1 and denominator x squared minus 9

A
the fraction with numerator open paren x plus 5 close paren times open paren x plus 4 close paren and denominator x cubed minus 9 x
B
the fraction with numerator negative 2 x plus 11 and denominator x cubed minus 12 x minus 9
C
the fraction with numerator open paren x plus 5 close paren times open paren x plus 2 close paren and denominator x cubed minus 9 x
D
the fraction with numerator 3 times open paren x plus 2 close paren and denominator x squared minus 3 x
7

What is the sum? the fraction with numerator 3 y and denominator y squared plus 7 y plus 10 plus the fraction with numerator 2 and denominator y plus 2

A
the fraction with numerator 5 times open paren y plus 2 close paren and denominator open paren y minus 2 close paren times open paren y plus 5 close paren
B
the fraction with numerator 5 and denominator y plus 5
C
the fraction with numerator 5 and denominator y minus 5
D
the fraction with numerator 5 times open paren y minus 2 close paren and denominator open paren y minus 5 close paren times open paren y plus 2 close paren
8

What is the sum? the fraction with numerator x and denominator x plus 3 plus the fraction with numerator 3 and denominator x plus 3 plus the fraction with numerator 2 and denominator x plus 3

A
the fraction with numerator x plus 5 and denominator 3 x plus 27
B
the fraction with numerator x plus 5 and denominator x plus 3
C
the fraction with numerator 6 x and denominator x plus 3
D
5 thirds
9

What is the difference? the fraction with numerator x and denominator x squared minus 2 x minus 15 minus the fraction with numerator 4 and denominator x squared plus 2 x minus 35

A
the fraction with numerator x squared plus 3 x minus 12 and denominator open paren x plus 3 close paren times open paren x minus 5 close paren times open paren x plus 7 close paren
B
the fraction with numerator x squared plus 3 x plus 12 and denominator open paren x plus 3 close paren times open paren x minus 5 close paren times open paren x plus 7 close paren
C
the fraction with numerator x squared plus 3 x plus 12 and denominator open paren x minus 3 close paren times open paren x minus 5 close paren times open paren x plus 7 close paren
D
the fraction with numerator x times open paren x plus 3 minus 12 close paren and denominator open paren x plus 3 close paren times open paren x minus 5 close paren times open paren x plus 7 close paren

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