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

x5

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 x7

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)