CMSC 000 Winter 2014 Final Exam with Answers

Department of Career & Professional Development

Winter 2014

Final Examination — with answers

Student Name

Student Number

Foundations of Mathematics
CMSC 000
Lecturer:

G. Brown

Date:
Time:

17 April 2014
3 hours

INSTRUCTIONS:

This is a closed book examination.
Give your answers in the exam booklet.
You are permitted non-electronic translation dictionaries only.
Handheld devices capable of storing text are NOT permitted.
Calculators are permitted. Only noiseless non-programmable calculators are permitted.

This exam consists of 20 questions of equal value on a total of 4 pages including this cover page.
Please ensure that you have a complete examination paper before starting.

This examination is printed on both sides of the paper.

This examination paper must be returned

CMSC 000 Final Examination

Question 1
a) Calculate:
b) Calculate:

Winter 2014

page 2

47  12   30  4   2

40

7 15
1
3
   3  
5 14
2

-26

Question 2
Simplify by grouping and combining like terms: 3k  4   k  2    k  k  5   7 k 2

3k 2  13k

Question 3
a) Write a verbal description of the following algebraic equation without using a variable: 7  x  3  35
Seven times the sum of a number and 3 is 35.
b) Write an algebraic equation for: the sum of seven times a number and 73 is 87.
7 x  73  87
Question 4
a) Solve for Q:
b) Solve for x:

24  5Q  Q

Q=4

x  1 3x

6
10

x5

4

Question 5
Solve for x:

x x 1   2
6
4

x > -36

Question 6
2
Find the value of k so that the slope between the points  k , 5  and (6,17) is  .
3

k = 24

Question 7
5
x  27
3
b) Write an equation for the line through 15, 2  that is perpendicular to 5 x  3 y  4 .

a) Write an equation for the line through 15, 2  that is parallel to 5 x  3 y  4 . y 

3 y   x7
5

CMSC 000 Final Examination

Winter 2014

page 3

Question 8
Simplify and rewrite using only positive exponents (assume that u and v are both positive):
 3u 2v 1 

1 3 
 27u v 

2

Question 9
a)