Exam 8: Roots and Radicals

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Choose the one alternative that best completes the statement or answers the question. Find the numerical value of the rational expression for the given value of x. -Choose the one alternative that best completes the statement or answers the question.    Find the numerical value of the rational expression for the given value of x. -  , x = -3 , x = -3

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Write the word or phrase that best completes each statement or answers the question. -Describe, in words, how to simplify a complex fraction by using the method of multiplying by the LCD of the parts (Method 2).

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Find the expression that is equivalent to the given rational expression. -- Find the expression that is equivalent to the given rational expression. --

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Find all values that make the expression undefined. -Find all values that make the expression undefined. -

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Determine whether the situation or equation represents direct or inverse variation. -y = Determine whether the situation or equation represents direct or inverse variation. -y =

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Consider an equation of inverse variation y = Write the word or phrase that best completes each statement or answers the question.    Provide an appropriate response. -Consider an equation of inverse variation y =   . When x increases, does y increase or decrease? . When x increases, does y increase or decrease?

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Solve the equation. -Solve the equation. -  + 5 =  + 5 = Solve the equation. -  + 5 =

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Write the rational expression in lowest terms. -Write the rational expression in lowest terms. -

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Choose the one alternative that best completes the statement or answers the question. Find the numerical value of the rational expression for the given value of x. -Choose the one alternative that best completes the statement or answers the question.    Find the numerical value of the rational expression for the given value of x. -  , x = 3 , x = 3

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Solve the problem. -If m varies directly as p, and m = 20 when p = 5, find m when p is 8.

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Write the rational expression in lowest terms. -Write the rational expression in lowest terms. -

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Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The speed of a stream is 5 mph. If a boat travels 62 mi downstream in the same time that it takes to travel 31 mi upstream, what is the speed of the boat in still water?

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Solve the formula for the specified variable. -I = Solve the formula for the specified variable. -I =   for R for R

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Write the rational expression in lowest terms. -Write the rational expression in lowest terms. -

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Solve the variation problem. -The number of gears a machine can make varies directly as the time it operates. If it can make 4196 gears in 19 hr, how many gears can it make in 3 hr?

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Add or subtract. Write the answer in lowest terms. -Add or subtract. Write the answer in lowest terms. -  +  + Add or subtract. Write the answer in lowest terms. -  +

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Multiply or divide as indicated. Write the answer in lowest terms. -Multiply or divide as indicated. Write the answer in lowest terms. -  ÷  ÷ Multiply or divide as indicated. Write the answer in lowest terms. -  ÷

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Provide an appropriate response. -Which of the following fractions is equivalent to Provide an appropriate response. -Which of the following fractions is equivalent to   ? ?

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Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -State whether the following situation represents direct variation, inverse variation, or neither, and explain why: A runner's speed in a race and the time it takes to run the race

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Find all values that make the expression undefined. -Find all values that make the expression undefined. -

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