Published on 31 Jan 2019

School

Department

Course

Professor

UNIVERSITY OF REGINA

Department of Mathematics and Statistics

Math 102 - 001

Final Exam, Fall 2017

Time: 3 hours Name:

Please indicate your section: Student Number:

G 001 (MacKnight)

G 002 (Maidorn)

INSTRUCTIONS

1. Full credit is awarded only for well-presented, correct solutions in which all

your work is shown.

2. Your solution and final answer should appear on the right side of the pages

in this exam booklet; the left side pages are to be used for scrap paper and

are provided for rough work only. If you require more space for your

solution than the right side allows, then use the left side (facing) page and

indicate on your solution that there is work to be found on the facing page.

3. The marks allocated for each page are indicated below.

4. Graphing calculators, tablets, and phones are not permitted.

For instructor use only:

Page: 2 3 4 5 6 7 8 Total

Marks: 18 16 16 14 12 10 14 100

Score:

MATH 102 Final Exam Fall 2017

1. Solve each equation or inequality: [18 marks]

a) b)

c) d)

e) f)

PAGE 2

MATH 102 Final Exam Fall 2017

2. Consider two given points A and B, with coordinates A(4,-5) and B(-2,3) [8 marks]

a) Plot the points on the given grid. Calculate the length of

the line segment from A to B.

Length:

b) Find the equation of the circle that has the line segment

AB as its diameter. Then sketch the graph of the

circle on the given grid.

Equation of Circle:

3. A private airplane leaves an airport and flies due east at 180 km/h. Two hours later, a jet leaves

the same airport and flies due east at 900 km/h. Setup and solve the relevant equations to

determine at what distance to the airport the jet will overtake the private plane.

[8 marks]

PAGE 3

## Document Summary

Full credit is awarded only for well-presented, correct solutions in which all your work is shown. Your solution and final answer should appear on the right side of the pages in this exam booklet; the left side pages are to be used for scrap paper and are provided for rough work only. If you require more space for your solution than the right side allows, then use the left side (facing) page and indicate on your solution that there is work to be found on the facing page. The marks allocated for each page are indicated below. Graphing calculators, tablets, and phones are not permitted. Math 102 final exam: solve each equation or inequality: Fall 2017: consider two given points a and b, with coordinates a(4,-5) and b(-2,3) [8 marks: plot the points on the given grid. Calculate the length of the line segment from a to b. Length: find the equation of the circle that has the line segment.