Chapter 1

Question 1

What is math considered?

Answer 1

independent scientific discipline:
-analysis of geometric shapes & arithmetic of numbers
-analysis of certain conditions, characteristics and patterns

Question 2

What are the two types of math?

Answer 2

-pure math
-applied math

Question 3

What is pure math?

Answer 3

-focus on abstract, theoretical concepts, no practical applications

Question 4

What is applied math?

Answer 4

-application of math in physics, medicine, computer science and economics

Question 5

What is the math called used in economics?

Answer 5

business math

Question 6

What are the different subfields in business math

Answer 6

-functions theory
-differential calculus
-optimization
-financial math

Question 7

How are numbers used in business math?

Answer 7

to quantify their economic quantities and relationships

Question 8

What are the sets of numbers

Answer 8

-real numbers
-natural numbers
-integers
-rational numbers
-irrational numbers

Question 9

What is a natural number?

Answer 9

sign N:
from 0, 1, 2, 3 - etc.

Question 10

What is an integer?

Answer 10

sign Z:
numbers with minus sign -3, -2, 1, 0,

Question 11

What is a rational number

Answer 11

sign Q:
fractions, decimals, with negative
-2/3, -0.45, 1/2

Question 12

What is a finite and infinite number in rational numbers?

Answer 12

finite: 2.4
infinite number: 1/3 = 3.33333333333

Question 13

What is a real number

Answer 13

sign: R
all numbers

Question 14

What is an irrational

Answer 14

sign Q:
infinite number of decimal places, that cannot be represented as fraction

Question 15

What is algebra?

Answer 15

symbolic calculation, using letters as placeholders for real numbers

Question 16

What are the basic rules of algebra

Answer 16

-commutative law of addition & multiplication
-associative law of addition and multiplication
-distributive law

Question 17

What are summands

Answer 17

two numbers added together

Question 18

what are factors

Answer 18

two real numbers

Question 19

What is factoring?

Answer 19

multiplication of summands with a common factor
e.g.
2(3+4) = 23 + 2*4

Question 20

What happens if the denominator is zero?

Answer 20

not defined

Question 21

What do you call a real number “a” multiplied “n” times?

Answer 21

nth power of a
a- base
n- exponent

Question 22

What is a^0? e.g. 10^0?

Answer 22

1

Question 23

What is a^1 e.g. 23^1

Answer 23

a e.g. 23

Question 24

What numbers can only be used for logarithms?

Answer 24

Real and positive numbers

Question 25

What numbers can be used for natural logarithms

Answer 25

Natural numbers

Question 26

What symbol is used as a summation sign

Answer 26

Sigma sign

Question 27

What is are the numbers below the summation sign

Answer 27

lower summation limit or summation or running index
all natural numbers

Question 28

What do you call above the summation sign

Answer 28

upper summation limit
it should be greater than or equal 2

Question 29

What kinds of numbers are on the side of the summation sign

Answer 29

Real numbers

Question 30

What symbol is used to denote multiplication

Answer 30

PI

Question 31

What are parameters?

Answer 31

symbols that stand for freely selectable e.g.: a, b or c

Question 32

What are constants?

Answer 32

have a single fixed numerical value
e.g.: pi or e

Question 33

What are variables?

Answer 33

unspecified numbers but can be defined through application, they can change
e.g. x, y or z

Question 34

What is a domain?

Answer 34

range of numbers that indicate the values of a variable
symbol: D

Question 35

What is a term or expression?

Answer 35

numbers, parameters, constants, variables linked together by mathematical operations

x+y (a+b)^2

Question 36

What is an equation?

Answer 36

if left side is equal to right- true statement or satisfied equation

Otherwise, false

Question 37

What is a linear equation?

Answer 37

equation with 1 variable with 2 parameters
e.g. ax+b
a cannot equal 0

Question 38

What is a nonlinear equation and give examples

Answer 38

equations that cannot be transformed to linear equations
e.g.: quadratic equations and cubic equations

Question 39

What are inequalities

Answer 39

the relations of parameters are stated
e.g. smaller, larger, equal to

Question 40

What does this symbol <=> mean ?

Answer 40

transformation has not change the value of equation, because operation was performed on both sides

Question 41

What is this symbol II called?

Answer 41

penultimate line

Question 42

What is a quadratic equation

Answer 42

ax^2+bx+c
b, c or both can be zero

Question 43

A solution in the quadratic formula can only exist if:

Answer 43

b^2-4ac is greater than or equal 0

Question 44

What is the rule of transitivity?

Answer 44

If a <b & b<c
Then a<c

Question 45

What is a set?

Answer 45

A group of elements
symbol: S
e.g. set of natural numbers:
N={1,2,3,4….}

Question 46

What does … mean in a set?

Answer 46

elements are not complete

Question 47

What is the symbol that an element is part of a set ?

Answer 47

∈

Question 48

What is the symbol for subsets?

Answer 48

⊂

Question 49

What is a subset?

Answer 49

if a certain set also belongs to another set
e.g. Natural numbers is a subset of integers: N ⊂ Z

Question 50

What is a union?

Answer 50

displays all elements that belong to a set
e.g.: A ∪ B = {1,2,3,4,5}
If A={1,2,3) and B={4,5}

Question 51

What is an intersection and what is its symbol?

Answer 51

shows all elements belonging to 2 sets
e.g.
If A ={1,2,3} & B={3,4,5}
then A ∩ B = {3} (a intersect b)

Question 52

What is a difference?

Answer 52

shows elements that belong to a set but not another.
e.g.
If A={1,2,3,} & B={3,4,5}
A \ B= {1,2}

Question 53

What does percentage mean?

Answer 53

out of 100

Question 54

What does percentage sign mean

Answer 54

that a number is divided by 100

Question 55

What is the percentage formula

Answer 55

W=G*p%