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Unit One
Math 119 Study Flash Cards Competition
65
Mathematics
Undergraduate 1
09/12/2010

Additional Mathematics Flashcards

 


 

Cards

Term
What is a natural number?
Definition
A natural number is the numbers 1, 2, 3, etc... it does not contain 0.
Term
Give an example of a natural number?
Definition
Example: 1,2,3,4,5,6,7,8,9,etc
Term
What is not a natural number?
Definition

Example:

0,

1/2,

.33333

Term
What is whole number?
Definition
A whole number is any number that is 0,1,2,3,4,5,6,etc.
Term
What is not a whole number?
Definition

Example:

5/6

.777

 

Term
What is an integer?
Definition

Is any positive number, negative number, and 0...

No fractions....

Term
Is -9 an integer?
Definition
Yes.
Term
What is a rational number?
Definition
is like an integer but it contains fractions that are repeating or that have a pattern or they stop.
Term
Examples of rational numbers...
Definition

9

-9

2/3

.333

.98989898

Term
What is not a rational number?
Definition

.93759624759

pie

square root of 2

Term
What is an irrational number?
Definition
An irrational number are numbers that do not repeat or written as a fraction.
Term
Examples of irrational numbers?
Definition

pie

.2875943875

square root of 3

Term
What is the difference between inequalities and interval notations?
Definition

 Write each inequality using interval notation. 

           

            a. x>4 ->inequality                                                     b. -1<x<10

   (4, infinity)                                                      (-1, 10)--->interval notation

 

 

 

Term

Should the interval follow the number line?

True/False

Definition
True
Term

Pie is irrational because it doesnt repeat or ever stop.

True/False

Definition
True
Term
When is ( and ) used?
Definition
With < and >
Term

We use [ and ] with < and >..

True/False

Definition
False
Term
We use < and > but with the horizontal line under it with???
Definition
[ and ]
Term
The filled in bold dot on the inequality line means?
Definition
That the interval notation has a less than or greater than and equal to sign
Term

A open white dot means it is just < and >..

True/False

Definition
True
Term
-2<x<5 written in interval notation is...
Definition
x is greater than -2 and less than 5
Term
What does -a mean?
Definition
It means the opposite of "a"
Term
If a=5 then -a is?
Definition
-a=-5
Term
Name three of the common properties...
Definition

Communtative

Associative

Distributive

 

Properties

Term
What is commutative property?
Definition
Communtative property is when you change the order and it's okay.
Term
Give an example of communtative property...
Definition

ab=ba

 

3+5=5+3

Term
Give an example of associative property and what is it?
Definition

Associative property is when you move the ( ) and it's okay...

 

(ab)c=a(bc)

Term

Distributive property is when you correctly distribute and if they equal out than it's okay...

Example- 2(x+y)=2x+2y

 

True/False

Definition
True
Term

If a= -5

then what is -a=???

Definition
-a=5
Term
But remember -22 is??
Definition
-4
Term

When you susitute it never gets parenthesis?

True/False

Definition
False
Term

x=-3

 

With x2 and -(x)2

Definition

x2= (-3)2=9

 

but

-(x)2=-(-3)2=-9

Term
0 divided by anything is called?
Definition
Undefined
Term

Anything to the 0 is 1

True/False

Definition

True

90=1

Term

When multiplying fractions Dont multiply across

 

True/False

Definition
False
Term
What is a trick to remember when dividing fractions?
Definition

Keep it

Change it

Flip it

Term

When adding or subtracting fractions you must find a common numerator

 

True/False

Definition
false-denominator
Term

What is

(-3ab)(4ab3)

Definition

-12a2b-2

 

which becomes

-12a2/b2

Term

The odd root of a negative will be a negative?

True/False

Definition
True
Term

The even root of a negative will be "no real" number?

 

True/False

Definition
True
Term
What is -32?
Definition
-9
Term
What is (-3)2?
Definition
9
Term
5/0 is ?
Definition
UNDEFINED
Term
What is a-3/2?
Definition
1/square root of a3
Term
what is x2/3?
Definition
3 on the outside of square root of x2
Term
What does profit equal to?
Definition
Revenue-cost
Term
x7/x4 is?
Definition
x^3
Term

Will you ever have a negative exponent in your answer? If not asked by directions to?

 

Definition
No you will not because you need to cross it over the magic division bar
Term
If you are dividing and you have the same base than you will _________ the exponents?
Definition
SUBTRACT
Term
If same base, you multiply the coeffients and _____ the exponents?
Definition
add
Term
What is a times a =
Definition
a1+a1=a2
Term
Anything to the zero power is?
Definition
1
Term
3x+8x=
Definition
11x2
Term
What is the difference of square?
Definition
u2-v2
Term
a2+2ab+b2
Definition
is called the perfect square trinomial
Term

(x-2)(2x)+(x-2)(3)

What is the common factor?

Definition
(x-2)
Term
What is e?
Definition
irrational
Term
What is 0?
Definition

rational

whole number

integer

Term
What is 1?
Definition

rational

integer

natural

 

numbers

Term

2x+12x-9 is a polynomial?

true/false?

Definition
true
Term

3x^2+6x-9

 

What is the constant?

Definition
-9
Term
Name one easy way to find a domain?
Definition
All polynomials are all real numbers
Term
Name another way to find domains?
Definition
if it has a denominator with an X then the bottom can not equal 0
Term

What unit are we in?

When is the test?

Definition

Unit 1

9/13/10

Term
Explain outside and under?
Definition
What the thing asked for to factor out put it infront of the ( ) and also put it under each part of the problem
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