Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Numerical Test 3
Solutions Booklet
Instructions
This numerical reasoning test comprises 30 questions, and you will have 30 minutes in
which to correctly answer as many as you can. Calculators are permitted for this test, and it is
recommended you have som
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
2.2 DERIVATIVES
For good description of a process we must describe in a precise way the dynamic of the
process, i.e., its rate and direction of change. For instance, for good description current tenge/dollar
rate it is not enough to know only its value, b
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Exponents. Exponential Equations
Simplify:
c)
a)
54 16
x y
3
x 4 3 y2
13 3
x y4
1
x 6 4 y 5
4
23 12
x y
1
x 3 3 y4
b)
2
d)
2
3
y 3x 4
5
y 6 6 x 1
Solve the following exponential equations:
3
6
III
1. 4 x 64
2. 3 x 81
x
3. 25
1
5
20. 33
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Preparation to Quiz 1
Linear Equations. Ex.
Solve linear equations:
3x 4 5 x 8
2
1 4 x
x
3
2 5 2
x 2
0.4 x 2.5
6 5
2 3 x 2 3 4 3 x 5 x
x 2
2x 7
1
3
3
7
LINEAR FUNCTION. Ex.
1. Determine the equation of the linear function which passes through the poi
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Exercises. Limits of Rational Functions.
I. Limits of Rational Functions at
:
n
n 1
an x an 1 x . a1 x a0
lim m
x b x b x m 1 . b x b
m
m 1
1
0
an
, if n m
bm
0, if n m
, if n m
Examples.
3x 2 1
2x 2 4x
4 x 3 5x
lim
x 1 3x 3
x3 1
lim 2
x 2 x 4 x
4 x 2 5x
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Preparation to Final S11
1. (3 points) Determine an equation for the line that has slope =
1
2
and passes through the
point D ( 6; 4) . Wright the final answer in slopeintercept form. Draw the graph.
2. (3 points) Determine an equation for the line that
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Preparation to Quiz 2
1. Solve Quadratic equation
x 2 7 x 10 0
x 2 5 x 4 0
2 x 2 7 x 3 0
6 x 2 7 x 2 0
2. Solve the equations in 1. by factoring.
For. Ex.: x 2 5 x 4 0 . Solution: x 2 5 x 4 ( x
4)( x 1)
3. Reduce the following expressions to complete
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Exercises. Derivatives.
Table of elementary derivatives
(x)
x
x
x
a
0
cos x
sin x
1
cos 2 x
1
sin 2 x
n 1
tan x
ax
a x ln a
cot x
ex
ex
arcsin x
1
arccos x
1 x2
1
n
x
nx
1
x ln a
1
x
log a x
ln x
arctan x
cos x
sin x
arc cot x
1 x2
1
1 x2
1
1 x2
Find der
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
FULL FILE AT HTTP:/TESTBANKCART.EU/TESTBANKFORESSENTIALSOFSOCIOLOGY9THEDITIONBYBRINKERHOFF
CHAPTER ONE
THE STUDY OF SOCIETY
MULTIPLECHOICE QUESTIONS
1. Sociologists are most inclined to explain behavior in terms of:
a. individual personality char
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
LINEAR FUNCTION
Def.
A function f is a linear function if
f ( x) kx b ,
(I)
where k and b are real numbers (coefficients).
If k 0 the domain Df , and the range Rf of the linear function are the set of all real
numbers.
If k 0 we obtain f ( x) b and f is c
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Graphing and Optimization. (See [1], Ch.4)
Def.
We say that the function f
1) is increasing on an interval (a,b) if f ( x 2 ) f ( x1 ) whenever a x1 x 2 b ;
2) is decreasing on an interval (a,b) if f ( x 2 ) f ( x1 ) whenever a x1 x 2 b .
Th. Let f (x ) i
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Exercises. Graph Transformations
Draw the graphs of the following functions using graph transformations.
1.
2.
3.
4.
5.
6.
7.
8.
9.
y ( x 2) 2
y ( x 2) 2 4
y ( x 4) 2 1
y 2( x 1) 2 1
y ( x 2) 2 4
y 3( x 2) 2 6
y (2 x 5) 2 2
10.
11.
12.
13.
14.
15.
y
16.
1
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Numerical Test 3
Questions Booklet
Instructions
This numerical reasoning test comprises 30 questions, and you will have 30 minutes in
which to correctly answer as many as you can. Calculators are permitted for this test, and it is
recommended you have som
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Numerical Test 4
Solutions Booklet
Instructions
This numerical reasoning test comprises 30 questions, and you will have 30 minutes in
which to correctly answer as many as you can. Calculators are permitted for this test, and it is
recommended you have som
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Numerical Test 4
Questions Booklet
Instructions
This numerical reasoning test comprises 30 questions, and you will have 30 minutes in
which to correctly answer as many as you can. Calculators are permitted for this test, and it is
recommended you have som
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
0. INTRODUCTION
Part I
1. PROBLEM SOLVING: PRINCIPLES
In Action Problems
Solutions
2. PROBLEM SOLVING: STRATEGIES & TACTICS
In Action Problems
Solutions
3. DATA SUFFICIENCY: PRINCIPLES
In Action Problems
Solutions
4. DATA SUFFICIENCY: STRATEGIES & TACTICS
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
MANHATTAN
G uide 4
GM/
Geometry
Includes 6
Free Online 4
Exams J
& More!
~
Covers Triangles, Circles, Coordinate Plane, & More
Teaches Problem Solving & Data Sufficiency Strategies
Includes Practice Problems with Detailed Explanations
Updated for The Off
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
MANHATTAN
Guide 9
GMAT
Integrated Reasoning & Essay
Includes 6 *
Free Online 4
Exams
_ r
_
n
mm
Illuminates the Two Initial Sections of the GMAT
Teaches Effective Strategies for the New IR Section
Enables Optimal Performance on the Argument Essay
,
Updat
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Exponential Equations
I
1. 4 x 64
2. 3 x 81
x
3. 25
1
5
4. 8 x 16
x
5. (0.5)
1
6. 27
1
64
x
3
1
9
x
7.
1
27
8. 2 x 1
9. 3 6 x 33 x 2
II
10. x 1
1
11.
2
12.
13.
x3 9 x
1
3 x 9
2 x 3 x 36
x
2
5
14.
5
4
2
x
x
27
2 9
15.
64
3 8
16. 8 x 1 3 4
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Absolute Value
x i f x 0
x
x if x 0
Definition of Absolute Value:
Geometrically the absolute value of a real number a is the distance from zero to a on the
number line: a dist (a; 0) .
Similarly: x a dist ( x; a) .
Properties of Absolute value:
For all
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
Kazakhstan Institute of Management, Economics and Strategic Research
School of General Education
Course Syllabus
Course title:
College Algebra (was Precalculus)
Course Code:
Course credits:
GEN 1200
(0 credits)
Semester: Fall 2013
Course meeting time and
Kazakhstan Institute of Management, Economics and Strategic Research
College Algebra
MATH 124567

Spring 2014
CHAPTER TWO TEST BANK
CHAPTER TWO
CULTURE
MULTIPLECHOICE QUESTIONS
1. Which of the following concepts refers to the total way of life shared by members of a society?
a. values
b. norms
c. culture
d. cultural universals
ANS: c
REF: Introduction to Culture