Name: 
 

Math 11 Pre-Calc LG 11 Practice Quiz #3


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Solve the rational equation mc001-1.jpg. Identify all non-permissible values.
A
x = ±mc001-2.jpg, mc001-3.jpg
C
x = mc001-6.jpg, mc001-7.jpg
B
mc001-4.jpg, mc001-5.jpg
D
x = 54, mc001-8.jpg
 

 2. 
Solve the rational equation mc002-1.jpg.
A
x = 2 and –4
C
x = 11 and  –4
B
x = –11
D
x = –11 and 4
 

 3. 
Evan starts out on a snowmobile trail and travels at 10 km/h. Bonnie leaves 10 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 30 min? Express your answer to the nearest tenth.
A
10.1 km/h
C
30.0 km/h
B
13.0 km/h
D
13.3 km/h
 

 4. 
What is the exact solution to the equation mc004-1.jpgmc004-2.jpg
A
mc004-3.jpg
C
mc004-5.jpg
B
mc004-4.jpg
D
mc004-6.jpg
 

 5. 
Solve mc005-1.jpg.
A
x = 5 and x = 11 and  x = –15
C
x = –7 and x = –1
B
x = mc005-2.jpg
D
x = 7 and x = 1 and  x = 15
 

Short Answer
 

 1. 
Solve and check.
sa001-1.jpg
 

 2. 
Solve.
sa002-1.jpg
 

Problem
 

 1. 
The rectangle has an area of 1 square unit. What is the value of x?
pr001-1.jpg
pr001-2.jpgpr001-3.jpg
 

 2. 
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.
 

 3. 
The area of a tennis court can be represented approximately by the function pr003-1.jpg, and its length can be represented by pr003-2.jpg, where x is a distance, in metres.
a) Write and simplify a function, w(x), to represent the width of a tennis court.
b) If x represent 5 m, what is the approximate width of the court?
 



 
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