Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Determine the value of the expression  when  and  .
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2.
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Simplify  .
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3.
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Express  in simplest form.
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4.
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Express  in simplest form.
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5.
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An equilateral triangle has an area of 10.8 cm 2. What is the height
of the triangle, to the nearest tenth of a centimetre?  A | 2.2 cm | C |  cm | B |  cm | D | 5.0 cm |
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6.
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A radical expression is being simplified. In which step of the process was an
error made?  A | Step D | C | Step C | B | Step A | D | Step B |
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7.
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Solve 
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8.
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Solve  . A | x = 2 | C | x = –1 | B | x = 1 | D | x = 8 |
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9.
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Solve  .
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10.
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Solve  .
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Short Answer
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1.
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Rationalize the denominator in each expression. Express each answer in simplest
form.
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2.
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Expand and simplify. State any restrictions on the values for the
variables. a)  b) 
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3.
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Solve  .
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Problem
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1.
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The velocity, v, in feet per second, of a roller coaster at the bottom of
a hill is related to the vertical drop, h, in feet, and the velocity, v0, in
feet per second, of the roller coaster at the top of the hill by the formula  . a) Explain why  is not equivalent to the given
formula b) What velocity must a roller coaster have at the top of a 225-ft hill to
achieve a velocity of 120 ft/s at the bottom?
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2.
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The time, t, in minutes, it takes a satellite h kilometres above
Earth to complete one orbit can be determined by the equation  . How high should a
satellite be placed above the equator so that it always appears to be above the same point on the
ground? Round your answer to the nearest hundred kilometres.
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