MCR 3U1 – MS. CONRAD
Unit 2: Equivalent Algebraic Expressions
Name:
KN
Date:
/20
App
/15
TH
/10
CM
Knowledge
/8
10 Marks
1. Expand and simplify the following polynomials. (6 Marks)
a)  3[5n  (2  3n)]  2[5(2n  1)  4]
b) (2a  1)( a  5)( 2a  1)
2. Factor the following. (4 Marks)
a) 6sm  9tm  4sn  6tn
b) (m  n) 2  (2m  3n) 2
Application
15 Marks
3. An object has mass m  (4 x 2  9 y 2 ) and volume v 
where d 
3xy  2 x
. Determine its density d,
2
2
m
. State any restrictions on any variables. (5 marks)
v
MCR 3U1 – Unit 2 Test
Page 2 of 4
4. Find the area of the figure shown and state the restrictions. (4 marks)
(***Martin…. The area of a rectangle is A = l x w***)
5 x  35
x3
4x 2
x 2  16 x  63
5. For a 35 mm camera, the equation
represents the focal length (f) of the
lens that is needed to produce a clear photograph. The distance from the lens to the
film, , must be adjusted according to the distance from the lens to the object,
. If
and
(6 marks)
, what is
?
State any restrictions on the variables.
MCR 3U1 – Unit 2 Test
Thinking
Page 3 of 4
10 Marks
6. Simplify and state any restrictions on the variable.
(4 marks)
7. A garden has an area represented by the function
expression for the perimeter of the garden? (6 marks)
. What is the
MCR 3U1 – Unit 2 Test
Communication
8. Are the functions shown equivalent? Explain your answer. (3 marks)
Page 4 of 4
8
Marks
9. Explain why it is necessary to include restrictions when dealing with rational
expressions. (2 marks)
10.
In general, if two or more polynomials are to be multiplied, how can you determine
how many terms the product will have before like terms are collected? Explain and
illustrate with an example. (3 marks)
Is this statement correct?Why or why not? ________________________________
(BONUS 2 Marks)
What is your favourite cheese? _________________________