DS 71 Exam #3 Review
16 M C Problems from Exam2 , Chapters 8, 9 (85 points)
Some of which MUST show work as indicated
7 Problems ( 2 from Chapter 7 , 65 points)
Total Points: 150
5 Problems from Exam 2
2 problems similar to Example (pp 20-22) and Clicker

DS 71
Clicker Questions
Chapter 1 Review (Algebra and Equations)
1. Factor completely x2 - x 56 A. B. C. D. E. 2. (x + 8)(x - 7) (x + 1)(x - 56) Prime (x + 7)(x - 8) (x 8)(x 7)
Factor completely 4x2 - 32x + 64 A. B. C. D. E. (4x - 16)(x - 4) (x - 4)(4x -

CHAPTER 5
MATHEMATICS OF FINANCE
CHAPTER 5
Mathematics of Finance
Important Factors
1
Amount of Money
How much money do you have to invest?
How much money do you need or wish to have in the future?
How much money to you need to borrow?
2
3
Interest Rate
T

CHAPTER 6
SYSTEMS OF LINEAR EQUATIONS
CHAPTER 6
ELIMINATION METHOD
Example 2 on p. 314
Solve
5x + y = 4
3x + 2y = 1
1
2
1 by -2
Multiple equation
-10x - 2y = -8
Add equations 2 and
-7x = -7
x=1
4 into
Substitute
5(1) + y = 4
y = -1
3
3
4
1
The solution fo

CHAPTER 7
LINEAR PROGRAMMING
CHAPTER 7
Graph a Linear Inequality
Example 1 on p. 388
Graph the inequality 3x - 2y 6.
x
0
2
y
-3
0
y
3x-2y = 6
(2,0)
(0,0)
x
(0,-3)
Subsititute (0,0) into the inequality. If the inequality is satisfied,
then the entire area

CHAPTER 8
SETS AND PROBABILITY
CHAPTER 8
Set Notations
Set braces: cfw_
S = cfw_1,2,3,4,5,6
S = cfw_x|x is a natural number 6 and > 0
A = cfw_Head, Tail
R = cfw_H,T
Elements or
Members
3S
Universal Set
Subset Set
A set containing all the objects of inter

CHAPTER 9
COUNTING and PROBABILITY DISTRIBUTIONS
A FUN TRAIN RIDE IN INDIA
CHAPTER 9
Random Variable
A function that assigns a real number to each outcome of an experiment
x
0
1
2
3
4
5
6
p(x)
0.13
0.19
0.27
0.16
0.10
0.13
0.02
1
x
0
1
2
p(x)
1/4
1/2
1/4

CHAPTER 11
RATE OF CHANGE (DERIVATIVES)
CHAPTER 11
Techniques for Finding Derivatives (p. 706)
Constant Rule
If f(x) = k, where k is a constant, then
f ' ( x) 0
Example 1 on p. 708
Find the derivative of f(x) = 25.
Since 25 is a constant, f '(x) = 0
Power

DS 71
QUANTITATIVE ANALYSIS
iClicker Questions
For Students Only
Chapter 1
Review (Algebra)
1
Factor completely
x 2 - x 30
A.
B.
C.
D.
E.
(x + 6)(x - 5)
(x + 1)(x - 30)
(x + 5)(x - 6)
(x 6)(x 5)
Not possible
2 Factor completely
2x 2 - 16x + 32
A.
B.
C.
D.

CHAPTER 4
EXPONENTIAL and LOGARITHMIC
FUNCTIONS
CHAPTER 4
f(x) = a x for a > 0 is an exponential function
where the variable x is in the exponent.
y
a>1
f(x)=10x
(0,1)
x
y
a>1
f(x)=10x f(x)=3x
f(x)=2x
f(x)=(3/2)x
(0,1)
x
CHAPTER 4
f(x) = a x for a > 0 is

CHAPTER 3
FUNCTIONS and GRAPHS
CHAPTER 3
DEFINITION
Each input determines EXACTLY one output
INPUTS (x)
(domain)
function
OUTPUTS (y)
(range)
Different inputs may produce the same output
(x,y1)
(x2,y)
(x1,y)
x
(x,y2)
A function
Not a function
CHAPTER 3
Ex

CHAPTER 2
GRAPHS, LINES and INEQUALITIES
CHAPTER 2
Graph 2x + y = 10
x
y
0
10
5
0
y
(0,10)
(5,0)
x
CHAPTER 2
Graph
y x2 2x 8
First, find the y-intercept when x = 0: (0,-8)
Secondly, find the x- intercepts: when y = 0
x2 2x 8 0
y
x 4x 2 0
x4
or
x 2
x
(-2,0

Quiz #1, Problem #10 v2 + 11v + 28 0 (v+7)(v+4) 0
-7 -4 0 Plug 0 into the factored inequality above. Since (7)(4) = 28 which is 0, the answer(s) are on both ends: (-, -7] or [-4, )
Quiz #1, Problem #6 C(x) = 200 + 90x Average cost =
C ( x) 200 + 90(10) =

31.
Keisha Jones must pay a lump sum of $6,000 in 5 years. What amount deposited today at 6.2% compounded annually will amount to $6,000 in 5 years? Name this type of problem. A. B. C. D. E. Simple interest/discount Compound interest Ordinary Annuity/Sink

Question 1 Find the probability of the event.
5 out of 5 points
The probability that a radish seed will germinate is .7. The gardener plants 20 seeds and she harvests 16 radishes. Selected Answer:
Question 2
5 out of 5 points Find the expected value of th

Question 1
5 out of 5 points Find the amount of each payment to be made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of each period. The interest rate given is per period. $96,000; mon

Find the proceeds. Assume 365 days in a year. Round to the nearest cent. $24,000; discount rate 12%; length of loan 4 months
Question 2
5 points Solve the problem. How much must Harry's Hardware deposit at interest for in order to earn interest?
Save
Ques

Question 1
5 points Solve the system of two equations in two variables. If this problem appears again in the future exam, you are responsible for showing complete work in both elimination method and substitution method. x + 4y = -2 5x + 3y = -27
Save
Ques

CHAPTER 1
REVIEW: ALGEBRA and EQUATIONS
CHAPTER 1
Factor
x 2 9 x 18
=
x 3x 6
First figure out all the possible combinations for the coefficients of
x 2 term and the constant term:
In this case, since the coefficient of x 2 is 1 , the only combination is
1

DS 71 Quantitative Analysis Syllabus SPRING Semester 2009
Dr. Wallace Liu Department of Information Systems & Decision Sciences Craig School of Business
Course Number, Title, and Number of Unit .Cover Course Description . 2 Student Learning Objectives . 2