Name: 
 

MCR3U - Unit 3 Practice Test



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

 1. 

A colony of ants has an initial population of 200 and doubles every day. A function that can be used to model the ant population, p, after t days is
a.
mc001-1.jpg
c.
mc001-3.jpg
b.
mc001-2.jpg
d.
mc001-4.jpg
 

 2. 

An investment of $100 is placed into an account that earns interest, compounded annually, at a rate of 5% for 7 years. The amount, A, in the account can be modelled by the function mc002-1.jpg, where t is the time, in years. What is the range of this function?
a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
mc002-5.jpg
 

 3. 

The expression mc003-1.jpg is equal to
a.
mc003-2.jpg
c.
mc003-3.jpg
b.
1
d.
0
 

 4. 

Simplify mc004-1.jpg.
a.
mc004-2.jpg
c.
mc004-3.jpg
b.
3
d.
mc004-4.jpg
 

 5. 

Simplify mc005-1.jpg. Express your answer using only positive exponents.
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 

Simplify mc006-1.jpg. Express your answer using only positive exponents.
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 

The equation mc007-1.jpg can also be written as
a.
mc007-2.jpg
c.
mc007-4.jpg
b.
mc007-3.jpg
d.
mc007-5.jpg
 

 8. 

Evaluate mc008-1.jpg.
a.
8
c.
40.3
b.
196 608
d.
mc008-2.jpg
 

 9. 

Which of the following expressions is equivalent to mc009-1.jpg?
a.
mc009-2.jpg
c.
mc009-3.jpg
b.
3
d.
mc009-4.jpg
 

 10. 

When simplified and written with positive exponents, the expression mc010-1.jpg simplifies to
a.
mc010-2.jpg
c.
mc010-3.jpg
b.
y
d.
mc010-4.jpg
 

 11. 

Which exponential equation matches the graph shown?
mc011-1.jpg
a.
mc011-2.jpg
c.
mc011-4.jpg
b.
mc011-3.jpg
d.
mc011-5.jpg
 

 12. 

Which exponential equation matches the graph shown?
mc012-1.jpg
a.
mc012-2.jpg
c.
mc012-4.jpg
b.
mc012-3.jpg
d.
mc012-5.jpg
 

 13. 

Which of the following transformations maps the function mc013-1.jpg onto the function mc013-2.jpg?
a.
a horizontal shift 3 units to the right and a vertical shift 4 units up
b.
a horizontal shift 3 units to the left and a vertical shift 4 units up
c.
a horizontal shift 3 units to the right and a vertical shift 4 units down
d.
a horizontal shift 3 units to the left and a vertical shift 4 units down
 

 14. 

Which function results when the graph of the function mc014-1.jpg is translated 2 units to the right and 1 unit up?
a.
mc014-2.jpg
c.
mc014-4.jpg
b.
mc014-3.jpg
d.
mc014-5.jpg
 

 15. 

For the exponential function mc015-1.jpg, which properties does the graph of the function have?
a.
domain mc015-2.jpg,
range mc015-3.jpg,
asymptote at y = –1
c.
domain mc015-6.jpg,
range mc015-7.jpg,
asymptote at y = –1
b.
domain mc015-4.jpg,
range mc015-5.jpg,
asymptote at y = –1
d.
domain mc015-8.jpg,
range mc015-9.jpg,
asymptote at y = 1
 

 16. 

Which equation can be used to model the given information?
Year (x)
Population (y)
0
700
1
728
2
757
3
787
4
820
5
854
a.
mc016-1.jpg
c.
mc016-3.jpg
b.
mc016-2.jpg
d.
mc016-4.jpg
 



 
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