NAME: __________________________________
STUDENT I. D. NUMBER: _________________
DAWSON COLLEGE – MATHEMATICS DEPARTMENT
FINAL EXAMINATION ALGEBRA (201-007-50) SECTION 1
Teacher: A. Benghiat December 16, 2005 (14:00-17:00)
This exam has 20 questions on 3 pages for a total of 100 marks. Solve the problems in
the space provided. Use the backs of the pages if more space is required and indicate this
by “Continued on back of page #”. An information sheet is attached on the last page of
the exam.
(Marks)
(4) 1. Solve for x:
(
)
(
)
573254 5xxx−= + − − .
(4) 2. Solve the inequality for x and graph the solution set.
(
)
(
)
22 5 3 4xx
−
≤−
(4) 3. Find the distance between the points
(
)
1, 5P
−
and
(
)
6, 7Q.
(4) 4. Factor completely: 32
32128
x
xx
−
−+
.
(4) 5. Multiply and simplify:
()
(
)
()
2
2
22423xxx x−+++−.
(5) 6. Graph the linear inequality: 3412yx
−
≥.
(5) 7. Find the equation of the line passing through the point
(
)
2, 5− and
parallel to the line 3212
x
y
−
=.
(5) 8. Solve the linear system: 3211
x
y
−
=.
25
x
y
+
=
9. Consider the linear depreciation of a new car, if after 3 years it is worth
$29,000, and after 10 years it is worth $8,000.
(4) (a) Find the linear depreciation equation of the car. [Use (x years, $y)].
(1) (b) Find the original price of this car when new.
