Instructor: Prof. A. Suciu
MTH 1101
Name:
Applications of Algebra
Fall 2002
QUIZ 1
Instructions: Put your name in the blanks above. Put your nal answers to each question in the
designated spaces on these pages. Show your workif there is not enough room, u
Instructor: Prof. A. Suciu
MTH 1101
Name:
Applications of Algebra
Fall 2002
QUIZ 2
Instructions: Put your name in the blanks above. Put your nal answers to each question in the
designated spaces on these pages. Show your workif there is not enough room, u
Instructor: Prof. A. Suciu
MTH 1101
Name:
Applications of Algebra
Fall 2002
QUIZ 3
Instructions: Put your name in the blanks above. Put your nal answers to each question in the
designated spaces on these pages. Show your workif there is not enough room, u
Instructor: Prof. A. Suciu
MTH 1101
Name:
Applications of Algebra
Fall 2002
QUIZ 4
Instructions: Put your name in the blanks above. Put your nal answers to each question in the
designated spaces on these pages. Show your workif there is not enough room, u
Instructor: Prof. A. Suciu
MTH 1101
Name:
Applications of Algebra
Fall 2002
QUIZ 5
Instructions: Put your name in the blanks above. Put your nal answers to each question in the
designated spaces on these pages. Show your workif there is not enough room, u
Instructor: Prof. A. Suciu
MTH 1101
Name:
Applications of Algebra
Fall 2002
QUIZ 6
Instructions: Put your name in the blanks above. Put your nal answers to each question in the
designated spaces on these pages. Show your workif there is not enough room, u
Instructor: Prof. A. Suciu
MTH 1101
Applications of Algebra
Fall 2002
SOLUTIONS to QUIZ 6
(1) A new type of series between the Boston Red Sox and the New York Yankees has been
proposed (the theory being that this may nally lift the Curse of the Bambino).
Math 1101
Linear Equations
Handout #1
You are expected to show all of your work very clearly. The work and graphs for the following problems should be done
on graphing paper. You should have a separate graph for each problem and show the work with each gr
Math 1101
Systems of Linear Equations (Point of Intersection)
Handout #2
Find the point of intersection for each of the following sets of lines. Do not use decimals. Do not graph the lines.
1.
5x + 4y
3x + 6y
=
3
= 3
2.
2x + 5y
5x + 5y
= 7
= 5
3.
3x 5y
4x
Math 1101
Linear Programming (Set-Up)
Handout #4
SET UP the following linear programming problems. Do not solve.
1. A furniture manufacturing company manufactures dining room tables and chairs. A table requires 8 labor-hours
for assembling and 2 labor-hou
Math 1101
Linear Programming (Solve)
Solve the following linear programs. Clearly show all your work!
1. Find the maximum and minimum values of P = 2x + 5y
2x + 5y
x
Subject to:
5x + 2y
y
20
1
20
0
2. Find the maximum and minimum values of F = 5x + 6y
3
Math 1101
Matrices
Handout #6
Show all of your work, not just the calculator result!
1. Given A =
8
3
7
4
and B =
6 9
5
6
, nd the following:
(a) 2A + 3B
(b) 3A + 2B
(c) 3B 2A
(d) 2A 3B
(e) 3A 2B
16
2. Find 3y 2x where X = 48
7
6
3. Find the product: 9
2
Math 1101
Matrix Inverses and Systems of Equations
Handout #7
SHOW ALL OF YOUR WORK!
1. Find the inverse for each of the following matrices.
(a)
3 5
4 7
(b)
32
75
(c)
6 4
3
7
(d)
4
6
7 8
(e)
3
7
(f)
4 2
8 4
2
5
Write each of the following systems of equat
Math 1101
Cryptography
Handout #8
For problems #1-4, assume the following coding scheme:
A
0
B
1
C
2
D
3
E
4
F
5
G
6
1. Encode SAM using M =
H
7
I
8
1
2
J
9
3
5
K
10
L
11
M
12
N
13
O
14
P
15
as the encoding matrix.
2. Use the inverse of M to decode the me