Math 018, Fall 2011
Quiz 3
Wednesday, October 5
Name:
Section (circle):
001
002
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1. (7 points ) Farmer Phil needs to treat his garden with potash and nitrogen. H
MATH 018 Elementary Linear Algebra
Homework 8 Solutions
Due Friday, November 4, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (5 points). The students of Pi Mu Epsilon are preparing for their annual bake sale. Th
MATH 018: Elementary Linear Algebra
Homework 9
Solutions
Please write your name and section number on all pages of your solutions.
Problem 1 (5 points). Consider an economy of medical services and education. Each unit of medical services
requires 1/2 unit
MATH 018: Elementary Linear Algebra
Homework 10
Due Wednesday, November 16, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (2 points). Plot each linear inequality on its own set of axes:
(i) y > x + 3
(ii) x 4
Pro
MATH 018: Elementary Linear Algebra
Homework 11
Solutions
Please write your name and section number on all pages of your solutions.
Problem 1 (4 Points). You are throwing a party and are providing soft drinks. You plan to buy two brands:
Pepsi and Coca-Co
Math 018: Elementary Linear Algebra
Midterm Examination 2
Wednesday, October 26, 2011
Name:
Section (circle):
Circle the letter of your test version here:
A
Multiple Choice (2 points each)
1) A
B
C
B
C
B
C
D
4) A
B
C
D
5) A
B
C
D
6) A
B
C
D
7) A
B
C
D
8)
Math 018: Elementary Linear Algebra
Midterm Examination 1
Friday, September 23, 2011
Name:
Section (circle):
Circle the letter of your test version here:
A
Multiple Choice (2 points each)
1) A
B
C
B
C
B
C
D
4) A
B
C
D
5) A
B
C
D
6) A
B
C
D
7) A
B
C
D
8) A
1. Find the slope of the line through the 2 points pictured:
a) 2
b)
c)
3
2
2
3
d) 3
The 2 points above are (x1 , y1 ) = (2, 1) and (x2 , y2 ) = (1, 1). To nd the slope of the line passing through
them, we use the slope formula:
m=
1 (1)
2
y2 y1
=
=
x2 x1
Math 018, Fall 2011
Quiz 1 - Solutions
Wednesday, September 7
1.
(3 points ) Find the equation of the line through the points (1, 5) and (2, 4) in slopeintercept form.
Solution. To nd the equation, we rst use the points (x1 , y1 ) = (1, 5) and (x2 , y2 )
Math 018, Fall 2011
Quiz 2
Monday, September 19
Name:
Section (circle):
001
002
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1.
(3 points ) The supply and demand for Penn State Math Club t-shirts is given
Math 018, Fall 2011
Quiz 3
Wednesday, October 5
Name:
Section (circle):
001
002
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1. (7 points ) Farmer Phil needs to treat his garden with potash and nitrogen. H
Math 018, Fall 2011
Quiz 4
Wednesday, October 5
Name:
Section (circle):
001
002
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1.
(2 points ) Finish the Gauss-Jordan method on the matrix:
132 3
0 1 0 2
0 0
Math 018, Fall 2011
Quiz 5
Wednesday, October 19
Name:
Section (circle):
001
002
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1.
(4 points ) For each matrix, either nd its inverse or explain why it has no
Math 018, Fall 2011
Quiz 6
Friday, November 4, 2011
Solutions
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1.
(7 points ) Consider an economy of cows and dairy. It takes 1/2 unit of cows and no dairy to ma
Math 018, Fall 2011
Quiz 7
Wednesday, November 16, 2011
Solutions
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1.
(5 points )
(i) On the provided axes, clearly plot the region bounded
3x + y
y
y
by the f
MATH 018: Elementary Linear Algebra
Homework 2
Solutions
Problem 1 (5 points). A high school band is practicing a song for their big concert. The instructor has a student
take down 2 types of data: the number of measures passed in the song, and the number
MATH 018: Elementary Linear Algebra
Homework 7
Due Monday, October 24, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (3 points). Invert the matrices. If you cant, say why not:
A=
2
4
1
5
0
2
B=
4
3
2
1
Solution.
MATH 018: Elementary Linear Algebra
Homework 6
Due Monday, October 17, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (2 points). The following matrix M displays the approximate number of miles between certain cit
MATH 018: Elementary Linear Algebra
Homework 5
Solutions
Problem 1 (5 points). Solve the system with the Gauss-Jordan method. If no solution exists, say so. If
innitely many solutions exist, nd the parameterized solution.
y z
2x 4y + 6z
x + 2y z
= 8
=
8
=
Math 018, Fall 2011
Quiz 2
Monday, September 19
Name:
Section (circle):
001
002
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1.
(3 points ) The supply and demand for Penn State Math Club t-shirts is given
Math 018, Fall 2011
Quiz 1 - Solutions
Wednesday, September 7
1.
(3 points ) Find the equation of the line through the points (1, 5) and (2, 4) in slopeintercept form.
Solution. To nd the equation, we rst use the points (x1 , y1 ) = (1, 5) and (x2 , y2 )
MATH 018: Elementary Linear Algebra
Homework 11
Solutions
Please write your name and section number on all pages of your solutions.
Problem 1 (4 Points). You are throwing a party and are providing soft drinks. You plan to buy two brands:
Pepsi and Coca-Co
MATH 018: Elementary Linear Algebra
Homework 10
Due Wednesday, November 16, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (2 points). Plot each linear inequality on its own set of axes:
(i) y > x + 3
(ii) x 4
Pro
MATH 018: Elementary Linear Algebra
Homework 9
Solutions
Please write your name and section number on all pages of your solutions.
Problem 1 (5 points). Consider an economy of medical services and education. Each unit of medical services
requires 1/2 unit
MATH 018 Elementary Linear Algebra
Homework 8 Solutions
Due Friday, November 4, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (5 points). The students of Pi Mu Epsilon are preparing for their annual bake sale. Th
MATH 018: Elementary Linear Algebra
Homework 7
Due Monday, October 24, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (3 points). Invert the matrices. If you cant, say why not:
A=
2
4
1
5
0
2
B=
4
3
2
1
Solution.
MATH 018: Elementary Linear Algebra
Homework 6
Due Monday, October 17, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (2 points). The following matrix M displays the approximate number of miles between certain cit
MATH 018: Elementary Linear Algebra
Homework 5
Solutions
Problem 1 (5 points). Solve the system with the Gauss-Jordan method. If no solution exists, say so. If
innitely many solutions exist, nd the parameterized solution.
y z
2x 4y + 6z
x + 2y z
= 8
=
8
=
MATH 018: Elementary Linear Algebra
Homework 4
Solutions
Problem 1 (4 points). Solve the system with the echelon method. If there exists no solution, say so. If there
are innitely many solutions, write the parameterized solution and give the solution when
MATH 018: Elementary Linear Algebra
Homework 2
Solutions
Problem 1 (5 points). A high school band is practicing a song for their big concert. The instructor has a student
take down 2 types of data: the number of measures passed in the song, and the number