Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Determine whether the expression  is a rational expression.
If not, explain why. a. | not rational because the denominator is not a polynomial | b. | not rational because
the numerator is not a polynomial | c. | rational | d. | not rational because
both the numerator and denominator are a polynomial | e. | not rational because both the numerator and
denominator are not a polynomial |
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2.
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Find the domain of the rational expression below. 
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3.
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Find the missing factor for the expression below. 
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4.
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Simplify the rational expression below. 
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5.
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Simplify the rational expression below. 
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6.
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Simplify the rational expression below. 
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7.
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Simplify the expression below. 
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8.
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Simplify the expression below. 
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9.
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Find the reciprocal of the expression below. 
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10.
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Divide and simplify the expression below. 
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11.
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Divide and simplify the expression below. 
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12.
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Perform the indicated operations and simplify. 
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13.
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The base and height of a triangle are given by  and  respectively. Assuming x is positive, find the correct expression for the area
A of the triangle in terms of x.
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14.
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Simplify the expression below. 
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15.
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A rectangle has a length of  feet and a width of  feet. Write a simplified expression that represents the perimeter of the
rectangle.
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16.
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Simplify the expression below. 
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17.
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Simplify the expression below. 
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18.
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Simplify the expression below. 
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19.
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Solve the rational equation. 
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20.
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A small plane has a speed of  miles per hour in
still air. The plane travels a distance of  miles with a tail wind in
the same time it takes to travel  miles into a head wind. In both cases,
the wind has the same speed. Find the speed of the wind. Use a diagram and a verbal model to help
solve the problem.
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