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
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)
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)