10
K/U
15
Comm
12
Think
4
App
Unit 2 Test
Algebraic Expressions
Name ________________________________
Part A: Knowledge/Understanding
Identify the choice that best completes the statement or answers the question. Put your answer in the table on page 2
1.
a.
Which pair of functions is equivalent?
c.
b.
d.
2.
a.
Which pair of functions is equivalent?
c.
b.
d.
3.
a.
Simplify
b.
d.
4.
a.
b.
Which expression represents the volume of the prism shown?
(x+2) + (9x+3)+(4x-5)
(x+2) – (9x+3) – (4x-5)
5.
c.
d.
(x+2) (9x+3) (4x-5)
14x
Simplify.
a.
b.
.
c.
c.
18g
d.
1
6.
What are the restrictions on the variable for
a.
b.
?
c.
d.
7.
No restrictions
What are the restrictions on the variable for
a.
b.
?
c.
d.
8.
No restrictions
Which of the following is equivalent to the function
a.
c.
b.
d.
9.
?
Simplify.
a.
c.
b.
d.
10.
Simplify.
a.
48x – 60
c.
b.
1
d.
8x – 10
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
2
Part B: Communication
Answer the following questions in the space provided, show full solutions for all marks.
11. Simplify the following and state restrictions on the variables for parts d and e below. (2, 2, 2, 4, 5 marks)
a)
12 x 4
21x 6
c)
35 x 3 y  18 22 x


12
77 x 2 35 x 2
e)
5x
4
 2
x  x  6 x  4x  4
b)
d)
x 2  14 x  49
x 2  49
x2  4
x 2  4x  4

14 x  35 6 x 2  15 x
2
3
Part C: Thinking
Answer the following questions in the space provided, show full solutions for all marks.
12. Factor the following, you do not need to state any restrictions. (2, 2, 2, 3, 3 marks)
a)
c)
e)
x 2  8x  15
2 x 2  15x  7
x 2  12 x  36  9 y 2
b)
4x 2  9
d) x 3  4 x 2  3x  12
(Hint- use grouping as a difference of squares)
4
Part D: Application
Answer the following questions in the space provided, show full solutions for all marks.
13. The area of a rectangle is represented by the function A  3x 2  4 x  4 . What is the perimeter of the rectangle?
Show all of your work.
Hint- Area = length x width
Perimeter = 2 (length + width)
4 marks
5