AnswersAlgebra IIRational Equations

Rational Equations — Quiz Answers

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1
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Which solution to the equation the fraction with numerator 1 and denominator x minus 1 is equal to the fraction with numerator x minus 2 and denominator 2 x squared minus 2 is extraneous?

A
x is equal to 1 and x is equal to negative 4
B
x is equal to 1
C
neither x is equal to 1 or x is equal to negative 4
D
x is equal to negative 4
2
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What causes a solution to a rational equation to be an extraneous solution?

A
If a solution results in zero when substituted into the denominator of the equation, the solution is extraneous.
B
If a solution results in a negative number when substituted into the denominator of the equation, the solution is extraneous.
C
When there is more than one solution, one of the solutions is extraneous.
D
When a solution is a fraction, the solution is extraneous.
3

Which solution to the equation the fraction with numerator 3 and denominator 2 g plus 8 is equal to the fraction with numerator g plus 2 and denominator g squared minus 16 is extraneous?

A
g is equal to 16
B
neither g is equal to negative 4 nor g is equal to 16
C
g is equal to negative 4
D
g is equal to negative 4 and g is equal to 16
4

Kent multiplies both sides of the equation by an expression. k plus 12 over k is equal to 8 Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?

A
k squared minus 8 k minus 12 is equal to 0
B
k squared minus 8 plus 12 is equal to 0
C
k squared plus 8 k plus 12 is equal to 0
D
k squared minus 8 k plus 12 is equal to 0
7

What are the solutions to the equation x minus 7 over x is equal to 6 ?

A
x is equal to 1 and x is equal to 6
B
x is equal to negative 6 and x is equal to negative 1
C
x is equal to negative 7 and x is equal to 1
D
x is equal to negative 1 and x is equal to 7

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