Past Final 2 With Solutions 1 .pdf - UNIVERSITY OF...

DATE: Dec. 18, 2019
EXAMINATION: Math Skills
COURSE: MSKL 0100
UNIVERSITY OF MANITOBA
FINAL EXAMINATION
TITLE PAGE
TIME: 2 hours
EXAMINER: various
FAMILY NAME:
GIVEN NAME:
STUDENT NUMBER:
SIGNATURE: (in ink)
(I understand that cheating is a serious o ↵ ense)
Please place a checkmark in the box next to your section:
⇤ E01 MW EITC E2 Room 399 Iman Soliman
⇤ E02 MW EITC E2 Room 351 Cli ↵ ord Allotey
⇤ E03 TR Drake Centre Room 104 Iman Soliman
⇤ E04 TR Arts Lab Room 366 Sarah Nataj
⇤ E05 TR Agriculture Building Room 138 Cli ↵ ord Allotey
INSTRUCTIONS TO STUDENTS:
This is a 2 hour exam. Please show your
work clearly and justify all answers.
No texts, notes, or other aids are permitted.
There are no calculators, cellphones or
electronic translators permitted.
This exam has a title page, 13 pages of
questions including 1 blank page for rough
work. Please check that you have all the
pages.
The value of each question is indicated in the
left hand margin beside the statement of the
question. The total value of all questions is
100 points.
Answer all questions on the exam
paper in the space provided beneath the
question. If you need more room, you may
continue your work on the reverse side of the
page, but CLEARLY INDICATE that your
work is continued.
Question Points Score
1 3
2 14
3 6
4 5
5 18
6 7
7 10
8 5
9 5
10 11
11 5
12 11
Total: 100
Past Final 2 With Solutions 1 of 14

DATE: Dec. 18, 2019
EXAMINATION: Math Skills
COURSE: MSKL 0100
UNIVERSITY OF MANITOBA
FINAL EXAMINATION
PAGE: 1 of 13
TIME: 2 hours
EXAMINER: various
1. [3] Factor 20 x
5
+ 2 x
4
- 6 x
3
.
2. Simplify the rational expression
(a) [2]
3
✓
x
2
+ 1
x + 3
◆
(b) [4]
1
x - 8
-
6
x
2
- 10 x + 16
2 × 3
(10 × 2
+
× - 3 )
2 × 3
(10 × 76 × -5 × -3)
2 × 3 (2 × (5 × +3)
-
(5 × 1-3))
2 × 3 ( 2 × -1 )
(5 × 1-3)
=3 ☹
!
T.IE?:EieoeI
nf
= 3
×
(
!
)
=
3 n
1 f t
1
creating
a
c o m m o n
denominator
=
1
-
-
6 -
( × - 2 )
X - 8 C k - 2 ) G -
8 )
=
( ×
=
X
=
1 -
( x - 2 )
G -
8 )
( ←
2 )
( × -8)
( X- 2 )
Past Final 2 With Solutions 2 of 14