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Math 11 Pre-Calc LG 11 Practice Quiz #1


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
mc001-2.jpg, mc001-3.jpg
C
x = ±mc001-5.jpg, mc001-6.jpg
B
x = 30, mc001-4.jpg
D
x = mc001-7.jpg, mc001-8.jpg
 

 2. 
Solve the rational equation mc002-1.jpg.
A
x = 10
C
x = –10
B
x = 4 and –1
D
x = –10 and 1
 

 3. 
Evan starts out on a snowmobile trail and travels at 35 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
35.2 km/h
C
38.0 km/h
B
46.7 km/h
D
105.0 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 = –3 and x = –2 and  x = 8
C
x = 4 and x = –8 and  x = –8
B
x = –4 and x = 8
D
x = mc005-2.jpg
 

Short Answer
 

 1. 
Solve and check.
sa001-1.jpg
 

 2. 
Solve.
sa002-1.jpg
 

Problem
 

 1. 
A patrol boat took 2.5 h for a round trip 12 km upriver and 12 km back. The speed of the current was 2 km/h. What was the speed of the boat in still water?
 

 2. 
If pr002-1.jpg, find the values of m and n.
 

 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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