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Exam 1
Exam 1 College Algebra 119
54
Mathematics
Undergraduate 2
09/12/2010

Additional Mathematics Flashcards

 


 

Cards

Term
Numbers 1,2,3,4 and 5 are examples of...
Definition
Natural Numbers
Term
Numbers 0,1,2,3,4, and 5 are examples of...
Definition
Whole Numbers
Term
Numbers -2,-1,0,1 and 2 are examples of...
Definition
Integers
Term
______ numbers are numbers that can be fractions too. These can also be decimals that can be written as fractions. Even repeating decimals.
Definition
Rational
Term

______ numbers are all numbers that repeat.

 

Ex: Pie, Square root of 2, e

Definition
Irrational
Term
True or false. These brackets "[]" go around the infinity sign.
Definition
False
Term
Simplify the square root of 12.
Definition
2 times the square root of 3
Term
If you have (2xy2)3, what do you do with the three?
Definition
Distribute it to the 2,x,and the y.
Term
If you have a power to a power like so, (ba)c, what would you do with the exponients?
Definition
Multiply them
Term

If you have something to the power of 0, what happens?

 

Example: (-4a2)0

Definition
Anything to the 0 power equals 1
Term

If you are dividing exponients, what do you do with them?

 

Example: x2/x

 

Definition
Subtract them.
Term
If you have a negative exponient in a fraction, what do you do?
Definition
Move it to the opposite side. [Move it over the line]
Term
x-1=what?
Definition
1/x
Term
If you have x3/5, how do you write that as a radical?
Definition
The index = 5, and x3 goes under the square root sign.
Term
Simplify the square root of 8
Definition
2 times the square root of 2
Term
True or False. The square root of 4 minus the square root of 3 is the square root of 2.
Definition
FALSE!
Term

What is the variable term in this equation:

6/5x plus 9

Definition
6/5x
Term

What is the constant term in this equation:

6/5x plus 9

Definition
9
Term

What is the coefficient of the variable term in this equation:

6/5x plus 9

Definition
6/5
Term
How do you write the square root of 3 in exponential form?
Definition
3(1/2)
Term
If you are multipling two things with the same base, what do you do with the exponents?
Definition
Add them.
Term
If you are dividing two things with the same base, what do you do with the two exponients?
Definition
Subtract them.
Term
What is a degree?
Definition
Highest power of x
Term
What is the leading coefficient?
Definition
It is the coefficient of the term with the highest power of x
Term
What is a constant term?
Definition
The term with no variables
Term
What property do you take out the parentheses?
Definition
associativity
Term
What property can you switch the numbers/variables around?
Definition
Commutativity
Term
What does FOIL stand for?
Definition
First, Outter, Inner, Last
Term
(a + b)2 =_________?
Definition
(a + b)(a +b)
Term
What is the formula for a profit equation?
Definition
Profit = Revenue - Cost
Term

What do you do with the exponients in this equation?

(6s4t-5)(-5s-2t4)

Definition
Add them if they have the same base
Term
ab + ac = ______?
Definition
a(b + c)
Term
u2 - v2 = _______?
Definition
(u + v)(u - v)
Term
u2 + 2uv + v2 = ________?
Definition
(u + v)2
Term
u2 - 2uv + v2 = __________?
Definition
(u - v)2
Term
True or False. You cannot factor the sum of squares.
Definition
True
Term
What are is the order of operations?
Definition
PEMDAS; Perentheses, exponients, multiply, divide, addition, subtraction.
Term
Evaluate:  (-2)0
Definition
1
Term
When finding the domain, if it is a polynomial the answer will be...?
Definition
All real numbers.
Term
When finding the domain, and your answer is all real numbers, how would you write that in interval notation?
Definition
(negative infinity, infinity)
Term
Can you take the 3rd root of -64?
Definition
Yes.
Term
Can you take the square root of -5?
Definition
No.
Term
Is 0 a rational number?
Definition
Yes
Term
Is 0 an irrational number?
Definition
No!
Term

What form is this in?

2x2 + 4x + 1

Definition
Standard form.
Term
Is 0 a integer?
Definition
Yes
Term

What property is this?

19+ 3 = 3+19

Definition
Commutative Property of Addition
Term
Is -5/2 an integer?
Definition
No
Term
Is the negative square root of 6 an integer?
Definition
No
Term
On a number line, if x is greater than or equal to 8, would the dot on the number line be open or colored in?
Definition
Colored in.
Term
On a number line, if something is less than 6,  will the dot on the number line be open or colored in?
Definition
Open
Term
Is a number divided by 0 rational?
Definition
No
Term
powers to another power is always what?
Definition
multiplied
Term
Will the answer to 4(-x)3 be a negative number?
Definition
Yes
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