Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Solve the rational equation  . Identify all non-permissible
values.
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2.
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Solve the rational equation  . A | x = –8 | C | x = –8 and 1 | B | x = 8
| D | x = 6 and
–1 |
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3.
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Evan starts out on a snowmobile trail and travels at 15 km/h. Bonnie leaves 5
min later, travelling at v kilometres per hour, and overtakes Evan after t hours. How
fast would Bonnie have to travel to overtake Evan in 20 min? Express your answer to the nearest
tenth.
A | 18.8 km/h | C | 15.1 km/h | B | 19.0 km/h | D | 60.0 km/h |
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4.
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What is the exact solution to the equation  
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5.
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Solve  . A | x = 6 and x = –8 and x = –16 | C | x = –5
and x = –3 | B | x = 5 and x = 3 and x
= 16 | D | x =  |
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Short Answer
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1.
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Solve and check. 
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2.
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Solve. 
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Problem
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1.
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Susan can swim at an average rate of v metres per second in still water.
She has two races coming up, one in a lake with no current and the other in a river with a current of
0.5 m/s. Each race is 800 m, but in the river race she swims the first half against the current and
the second half with the current.
If Susan swims each race exactly the same and lets the
current either slow her down or speed her up by 0.5 m/s, she believes both races will take exactly
the same amount of time. Is she correct? Explain.
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2.
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A plane flew 5200 km from London, U.K., to Montréal into a headwind. With a
tailwind, the plane flew 150 km/h faster on the return trip. The total flying time from London to
Montréal and back was 14.5 h. What was the flying speed from London to Montréal?
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3.
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The base area, B, of a rectangular prism is its volume divided by its
height. For one prism,  . If B measures 12 square units, what is the value of
x?
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